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[
{
"id": "75",
"category": "analogical",
"image_path": "chairs-img/analogical_75.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "D",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "76",
"category": "analogical",
"image_path": "chairs-img/analogical_76.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "B",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "77",
"category": "analogical",
"image_path": "chairs-img/analogical_77.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "C",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "78",
"category": "analogical",
"image_path": "chairs-img/analogical_78.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "C",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "79",
"category": "analogical",
"image_path": "chairs-img/analogical_79.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "A",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "80",
"category": "analogical",
"image_path": "chairs-img/analogical_80.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "D",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "81",
"category": "analogical",
"image_path": "chairs-img/analogical_81.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "D",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "82",
"category": "analogical",
"image_path": "chairs-img/analogical_82.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "A",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "83",
"category": "analogical",
"image_path": "chairs-img/analogical_83.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "D",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "84",
"category": "analogical",
"image_path": "chairs-img/analogical_84.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "C",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "85",
"category": "analogical",
"image_path": "chairs-img/analogical_85.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "A",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "86",
"category": "analogical",
"image_path": "chairs-img/analogical_86.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "A",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "87",
"category": "analogical",
"image_path": "chairs-img/analogical_87.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "A",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "88",
"category": "analogical",
"image_path": "chairs-img/analogical_88.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "C",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "89",
"category": "analogical",
"image_path": "chairs-img/analogical_89.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "D",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "90",
"category": "analogical",
"image_path": "chairs-img/analogical_90.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "B",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "91",
"category": "analogical",
"image_path": "chairs-img/analogical_91.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "C",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "92",
"category": "analogical",
"image_path": "chairs-img/analogical_92.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "D",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "93",
"category": "analogical",
"image_path": "chairs-img/analogical_93.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "B",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "94",
"category": "analogical",
"image_path": "chairs-img/analogical_94.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "B",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "95",
"category": "analogical",
"image_path": "chairs-img/analogical_95.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "D",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "96",
"category": "analogical",
"image_path": "chairs-img/analogical_96.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "B",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "97",
"category": "analogical",
"image_path": "chairs-img/analogical_97.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "C",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "98",
"category": "analogical",
"image_path": "chairs-img/analogical_98.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "A",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "99",
"category": "analogical",
"image_path": "chairs-img/analogical_99.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "C",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "100",
"category": "analogical",
"image_path": "chairs-img/analogical_100.png",
"question": "Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.",
"answer": "C",
"math_category": "N/A",
"options": "A\nB\nC\nD"
},
{
"id": "2",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000002.png",
"question": "Which bike is most expensive?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "A"
},
{
"id": "6",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000006.png",
"question": "Misty the cat has five kittens: two of them are striped, one spotty, the rest of them are absolutely white. In which picture can we see the kittens of Misty, knowing that the ears of one of them are of different colour?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "D"
},
{
"id": "9",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000009.png",
"question": "A squirrel is following the paths of labyrinth and collecting food for winter. Which stuff it will not be able to take?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "15",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000015.png",
"question": "Emily celebrated her birthday on Thursday, and her sister Liepa 8 days earlier. Which weekday was that?\n<image1>\nSelect only from the following 4 options:\nB. Thursday\nC. Friday\nD. Tuesday\nE. Sunday",
"options": "B. Thursday\nC. Friday\nD. Tuesday\nE. Sunday",
"answer": "A"
},
{
"id": "19",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000019.png",
"question": "Eve has taken 2 bananas to school. At first she changed each of them into 4 apples, later on she exchanged each apple into 3 mandarins. How many mandarins has Eve got? <image1>\nSelect only from the following 4 options:\nA. $2+4+3$\nB. $2 \\cdot 4+3$\nC. $2+4 \\cdot 3$\nE. $2+4-3$",
"options": "A. $2+4+3$\nB. $2 \\cdot 4+3$\nC. $2+4 \\cdot 3$\nE. $2+4-3$",
"answer": "D"
},
{
"id": "22",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000022.png",
"question": "What time is it now, if after 6 hours and 30 minutes the clock will show 4:00?\n<image1>\nSelect only from the following 4 options:\nB. 10:30\nC. 2:30\nD. 22:10\nE. 21:30",
"options": "B. 10:30\nC. 2:30\nD. 22:10\nE. 21:30",
"answer": "E"
},
{
"id": "24",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000024.png",
"question": "A trip of the pupils to the zoo took 135 minutes.\n<image1>\nHow many hours and minutes does it make?\nSelect only from the following 4 options:\nA. 3 h 5 min\nB. 2 h 15 min\nC. 1 h 35 min\nD. 2 h 35 min",
"options": "A. 3 h 5 min\nB. 2 h 15 min\nC. 1 h 35 min\nD. 2 h 35 min",
"answer": "B"
},
{
"id": "26",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000026.png",
"question": "The ladybird would like to sit on his flower. The flower has five petals and the stem has three leaves. On which flower should the ladybird sit?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "B"
},
{
"id": "31",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000031.png",
"question": "How many ducks weigh the same as a crocodile?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "B"
},
{
"id": "39",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000039.png",
"question": "Ingrid has 4 red, 3 blue, 2 green and 1 yellow cube. She uses them to build the following object:\n<image1>\nCubes with the same colour don't touch each other. Which colour is the cube with the question mark?\nSelect only from the following 4 options:\nA. red\nB. blue\nC. green\nD. Yellow",
"options": "A. red\nB. blue\nC. green\nD. Yellow",
"answer": "A"
},
{
"id": "44",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000044.png",
"question": "Florian has 10 equally long metal strips with equally many holes.\n<image1>\nHe bolts the metal strips together in pairs. Now he has five long strips (see the diagram).\n<image2>\nWhich of the long strips is the shortest?\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "B"
},
{
"id": "46",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000046.png",
"question": "What do you see if you look at the tower, which is made up of two building blocks, exactly from above?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "A"
},
{
"id": "52",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000052.png",
"question": "Which point in the labyrinth can we get to, starting at point $O$?\n<image1>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "C"
},
{
"id": "55",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000055.png",
"question": "Gerda walks along the road and writes down the letters she can see on her right hand side. Which word is formed while Gerda walks from point 1 to point 2?\n<image1>\nSelect only from the following 4 options:\nA. KNAO\nB. KNGO\nD. AGRO\nE. KAO",
"options": "A. KNAO\nB. KNGO\nD. AGRO\nE. KAO",
"answer": "A"
},
{
"id": "58",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000058.png",
"question": "<image1>\nIn the picture above five ladybirds can be seen. Each one is sitting on a certain flower. A ladybird is only allowed to sit on a flower if the following conditions are met:\n1) The difference between the number of points on each wing is equal to the number of leaves on the stem.\n2) The number of points on the wings of the ladybird is equal to the number of petals on the flower. Which of the following flowers is without a ladybird?\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "E"
},
{
"id": "67",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000067.png",
"question": "In which picture are there half as many circles as triangles and twice as many squares as triangles?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "E"
},
{
"id": "70",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000070.png",
"question": "Simon has two identical tiles, whose front look like this: The back is white.\n<image1>\nWhich pattern can he make with those two tiles?\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "A"
},
{
"id": "71",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000071.png",
"question": "Each one of the four keys locks exactly one padlock. Every letter on a padlock stands for exactly one digit. Same letters mean same digits.\nWhich letters must be written on the fourth padlock?\n<image1>\nSelect only from the following 4 options:\nA. GDA\nB. ADG\nD. GAG\nE. DAD",
"options": "A. GDA\nB. ADG\nD. GAG\nE. DAD",
"answer": "D"
},
{
"id": "72",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000072.png",
"question": "Alice draws lines between the beetles. She starts with the beetle with the fewest points. Then she continues drawing to the beetle with one more point. Which figure is formed?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "74",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000074.png",
"question": "Which beetle has to fly away so that the remaining beetles have 20 dots altogether?\n<image1>\nSelect only from the following 4 options:\nA. Beetle with 4 points\nC. Beetle with 5 points\nD. Beetle with 6 points\nE. no beetle",
"options": "A. Beetle with 4 points\nC. Beetle with 5 points\nD. Beetle with 6 points\nE. no beetle",
"answer": "B"
},
{
"id": "78",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000078.png",
"question": "In order to get to his bone, the dog has to follow the black line. In total he turns 3-times to the right and 2-times to the left.\nWhich path does he take?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "E"
},
{
"id": "84",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000084.png",
"question": "The road from Anna's to Mary's house is $16 \\mathrm{~km}$ long. The road from Mary's to John's house is $20 \\mathrm{~km}$ long. The road from the crossing to Mary's house is $9 \\mathrm{~km}$ long. How long is the road from Anna's to John's house?\n<image1>\nSelect only from the following 4 options:\nA. $7 \\mathrm{~km}$\nB. $9 \\mathrm{~km}$\nC. $11 \\mathrm{~km}$\nD. $16 \\mathrm{~km}$",
"options": "A. $7 \\mathrm{~km}$\nB. $9 \\mathrm{~km}$\nC. $11 \\mathrm{~km}$\nD. $16 \\mathrm{~km}$",
"answer": "E"
},
{
"id": "85",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000085.png",
"question": "Which of these clouds contain only numbers that are smaller than 7 ?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "87",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000087.png",
"question": "Mother kangaroo and her son Max together weigh $60 \\mathrm{~kg}$ (kilograms). The mother on her own weighs $52 \\mathrm{~kg}$. How heavy is Max? <image1>\nSelect only from the following 4 options:\nB. $8 \\mathrm{~kg}$\nC. $30 \\mathrm{~kg}$\nD. $56 \\mathrm{~kg}$\nE. $112 \\mathrm{~kg}$",
"options": "B. $8 \\mathrm{~kg}$\nC. $30 \\mathrm{~kg}$\nD. $56 \\mathrm{~kg}$\nE. $112 \\mathrm{~kg}$",
"answer": "B"
},
{
"id": "90",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000090.png",
"question": "Five equally big square pieces of card are placed on a table on top of each other. The picture on the side is created this way. The cards are collected up from top to bottom. In which order are they collected?\n<image1>\nSelect only from the following 4 options:\nA. 5-4-3-2-1\nC. 5-4-2-3-1\nD. 5-3-2-1-4\nE. 5-2-3-1-4",
"options": "A. 5-4-3-2-1\nC. 5-4-2-3-1\nD. 5-3-2-1-4\nE. 5-2-3-1-4",
"answer": "E"
},
{
"id": "97",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000097.png",
"question": "Four strips of paper are used to make a pattern (see picture).\n<image1>\nWhat do you see when you look at it from behind?\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "99",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000099.png",
"question": "Julia has 5 pieces of plastic and has stacked these pieces on a table, as shown beside. What was the second piece she put on the table?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "C"
},
{
"id": "100",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000100.png",
"question": "Marco's father took a picture of his son in front of the car shown beside. Which of the drawings below could represent this picture?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "E"
},
{
"id": "102",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000102.png",
"question": "A magician takes animals out of his hat always in the same order, as shown below.\n<image1>\nThe pattern of the figure is repeated every five animals. What will be the fourteenth animal he will pull out of his hat?\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "A"
},
{
"id": "105",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000105.png",
"question": "Ana draws some shapes on a sheet. Her drawing has fewer squares than triangles. What could be her drawing?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "D"
},
{
"id": "107",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000107.png",
"question": "A village of 12 houses has four straight streets and four circular streets. The map shows 11 houses. In each straight street there are three houses and in each circular street there are also three houses. Where should the 12th house be placed on this map?\n<image1>\nSelect only from the following 4 options:\nA. On A\nB. On B\nC. On C\nD. On D",
"options": "A. On A\nB. On B\nC. On C\nD. On D",
"answer": "D"
},
{
"id": "110",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000110.png",
"question": "Six figures were drawn, one on each side of a cube, as shown beside, in different positions. On the side that does not appear beside is this drawing:\n<image1>\nWhat is the figure on the face opposite to it?\n<image2>\n<image3>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "B"
},
{
"id": "113",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000113.png",
"question": "Tom has these nine cards:\n<image1>\nHe places these cards on the board next to each other so that each horizontal line and each vertical line has three cards with the three different shapes and the three different amounts of drawings. He has already placed three cards, as shown in the picture. Which card should he place in the colored box?\n<image2>\n<image3>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "E"
},
{
"id": "117",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000117.png",
"question": "In the figure, an arrow pointing from one person to another means that the first person is shorter than the second. For example, person $B$ is shorter than person $A$. Which person is the tallest?\n<image1>\nSelect only from the following 4 options:\nA. Person A\nB. Person B\nC. Person C\nD. Person D",
"options": "A. Person A\nB. Person B\nC. Person C\nD. Person D",
"answer": "C"
},
{
"id": "121",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000121.png",
"question": "Which of the paths shown in the pictures is the longest?\n<image1>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "A"
},
{
"id": "122",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000122.png",
"question": "Four identical pieces of paper are placed as shown. Michael wants to punch a hole that goes through all four pieces. At which point should Michael punch the hole?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "123",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000123.png",
"question": "Ella puts on this t-shirt and stands in front of a mirror. Which of these images does she see in the mirror?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "A"
},
{
"id": "125",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000125.png",
"question": "In the Kangaroo constellation, all stars have a number greater than 3 and their sum is 20 . Which is the Kangaroo constellation?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "B"
},
{
"id": "131",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000131.png",
"question": "The picture shows the five houses of five friends and their school. The school is the largest building in the picture. To go to school, Doris and Ali walk past Leo's house. Eva walks past Chole's house. Which is Eva's house?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "B"
},
{
"id": "137",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000137.png",
"question": "In which box are the most triangles?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "B"
},
{
"id": "140",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000140.png",
"question": "In the four squares of a row there always have to be exactly two coins. In the four squares below each other there also always have to be exactly two coins.\n<image1>\nOn which square does one more coin have to be placed?\nSelect only from the following 4 options:\nA. square $A$\nB. square $B$\nD. square $D$\nE. square $E$",
"options": "A. square $A$\nB. square $B$\nD. square $D$\nE. square $E$",
"answer": "D"
},
{
"id": "143",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000143.png",
"question": "There is an animal asleep in each of the five baskets. The koala and the fox sleep in baskets with the same pattern and the same shape. The kangaroo and the rabbit sleep in baskets with the same pattern.\n<image1>\nIn which basket does the mouse sleep?\nSelect only from the following 4 options:\nA. Basket 1\nB. Basket 2\nC. Basket 3\nE. Basket 5",
"options": "A. Basket 1\nB. Basket 2\nC. Basket 3\nE. Basket 5",
"answer": "E"
},
{
"id": "152",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000152.png",
"question": "The picture shows 5 cubes from the front. What do they look like from above?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "B"
},
{
"id": "153",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000153.png",
"question": "Each bowl has 4 balls. Add up the numbers on the balls. In which bowl is the result biggest?\n<image1>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "A"
},
{
"id": "155",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000155.png",
"question": "Sara says: \"My boat has more than one circle. It also has 2 triangles more than squares.\" Which boat belongs to Sara?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "E"
},
{
"id": "162",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000162.png",
"question": "Each of the children Ali, Lea, Josef, Vittorio and Sophie get a birthday cake. The number on top of the cake shows how old the child is. Lea is two years older than Josef, but one year younger than Ali. Vittorio is the youngest. Which cake belongs to Sophie?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "C"
},
{
"id": "194",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000194.png",
"question": "In how many ways can all the numbers $1,2,3,4,5,6$ be written in the squares of the figure (one in each square) so that there are no adjacent squares in which the difference of the numbers written is equal to 3? (Squares that share only a corner are not considered adjacent.)\n<image1>\nSelect only from the following 4 options:\nA. $3 \\cdot 2^{5}$\nC. $6^{3}$\nD. $2 \\cdot 3^{5}$\nE. $3 \\cdot 5^{2}$",
"options": "A. $3 \\cdot 2^{5}$\nC. $6^{3}$\nD. $2 \\cdot 3^{5}$\nE. $3 \\cdot 5^{2}$",
"answer": "A"
},
{
"id": "206",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000206.png",
"question": "A river starts at point $A$. As it flows the river splits into two. The first branch takes $\\frac{2}{3}$ of the water and the second takes the rest. Later the first branch splits into three, one taking $\\frac{1}{8}$ of the branch's water, the second $\\frac{5}{8}$ and the third one the rest. Further down this last branch meets again a branch of the river. The map below shows the situation. What part of the original water flows at point $B$?\n<image1>\nSelect only from the following 4 options:\nA. $\\frac{1}{3}$\nC. $\\frac{2}{9}$\nD. $\\frac{1}{2}$\nE. $\\frac{1}{4}$",
"options": "A. $\\frac{1}{3}$\nC. $\\frac{2}{9}$\nD. $\\frac{1}{2}$\nE. $\\frac{1}{4}$",
"answer": "D"
},
{
"id": "217",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000217.png",
"question": "In the diagram on the right we want to colour the fields with the colours A, B, C and D so that adjacent fields are always in different colours. (Even fields that share only one corner, count as adjacent.) Some fields have already been coloured in. In which colour can the grey field be coloured in?\n<image1>\nSelect only from the following 4 options:\nB. only C\nC. only D\nD. either C or D\nE. A, B, C or D",
"options": "B. only C\nC. only D\nD. either C or D\nE. A, B, C or D",
"answer": "D"
},
{
"id": "222",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000222.png",
"question": "In the diagram on the right we see the birdô-eye view and front elevation of a solid that is defined by flat surfaces (i.e. view from obove and the front respectively). Bird' s-Eye View (view from above): <image1>. Front Elevation (view from the front): <image2>.\nWhich of the outlines I to IV can be the side elevation (i.e. view from the left) of the same object?\n<image3>\nSelect only from the following 4 options:\nA. I\nB. II\nD. IV\nE. none of them",
"options": "A. I\nB. II\nD. IV\nE. none of them",
"answer": "D"
},
{
"id": "223",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000223.png",
"question": "The sum of the number in each line, column and diagonal in the Ămagic squareñon the right is always constant. Only two numbers are visible. Which number is missing in field $a$?\n<image1>\nSelect only from the following 4 options:\nB. 51\nC. 54\nD. 55\nE. 110",
"options": "B. 51\nC. 54\nD. 55\nE. 110",
"answer": "D"
},
{
"id": "235",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000235.png",
"question": "Jan cannot draw very accurately but nevertheless he tried to produce a roadmap of his village. The relative position of the houses and the street crossings are all correct but three of the roads are actually straight and only Qurwik street is not. Who lives in Qurwik street?\n<image1>\nSelect only from the following 4 options:\nA. Amy\nB. Ben\nC. Carol\nD. David",
"options": "A. Amy\nB. Ben\nC. Carol\nD. David",
"answer": "C"
},
{
"id": "236",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000236.png",
"question": "A rectangular piece of paper is wrapped around a cylinder. Then an angled straight cut is made through the points $\\mathrm{X}$ and $\\mathrm{Y}$ of the cylinder as shown on the left. The lower part of the piece of paper is then unrolled. Which of the following pictures could show the result?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "C"
},
{
"id": "238",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000238.png",
"question": "Michael wants to write whole numbers into the empty fields of the $3 \\times 3$ table on the right so that the sum of the numbers in each $2 \\times 2$ square equals 10. Four numbers have already been written down. Which of the following values could be the sum of the remaining five numbers?\n<image1>\nSelect only from the following 4 options:\nA. 9\nB. 10\nC. 12\nE. None of these numbers is possible.",
"options": "A. 9\nB. 10\nC. 12\nE. None of these numbers is possible.",
"answer": "E"
},
{
"id": "252",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000252.png",
"question": "Renate wants to glue together a number of ordinary dice (whose number of points on opposite sides always adds up to 7) to form a \"dicebar\" as shown. Doing this she only wants to glue sides together with an equal number of points. She wants to make sure that the sum of all points on the non-glued sides equals 2012. How many dice does she have to glue together?\n<image1>\nSelect only from the following 4 options:\nA. 70\nB. 71\nD. 143\nE. It is impossible to obtain exactly 2012 points on the non-glued together sides.",
"options": "A. 70\nB. 71\nD. 143\nE. It is impossible to obtain exactly 2012 points on the non-glued together sides.",
"answer": "E"
},
{
"id": "256",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000256.png",
"question": "Inside the cube lattice pictured on the side one can see a solid, non-seethrough pyramid $A B C D S$ with square base $A B C D$, whose top $S$ is exactly in the middle of one edge of the cube. If you look at the pyramid from above, from below, from the front, from the back, from the right and from the left - which of the following views cannot be possible?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "E"
},
{
"id": "271",
"category": "Inductive Reasoning",
"math_category": "statistics",
"image_path": "MathVision/test_000271.png",
"question": "Diana produces a bar chart which shows the number of four different types of trees which she has counted on a biology trip. Heinz believes that a pie chart would represent the ratio of the different types of trees in a better way. What would the pie chart look like?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "A"
},
{
"id": "273",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000273.png",
"question": "A drinking glass is made in the shape of a truncated cone. The outside of the glass (without the upper or lower circle) should be covered with coloured paper. How do you need to cut the paper to completely cover the glass without an overlap?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "E"
},
{
"id": "289",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000289.png",
"question": "Each of the ten points in the diagram is labelled with one of the numbers 0,1 or 2. It is known that the sum of the numbers in the corner points of each white triangle is divisible by 3, while the sum of the numbers in the corner points of each black triangle is not divisible by 3. Three of the points are already labeled as shown in the diagram. With which numbers can the inner point be labeled?\n<image1>\nSelect only from the following 4 options:\nA. only 0\nB. only 1\nC. only 2\nE. either 0 or 1 or 2",
"options": "A. only 0\nB. only 1\nC. only 2\nE. either 0 or 1 or 2",
"answer": "A"
},
{
"id": "293",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000293.png",
"question": "We consider a $5 \\times 5$ square that is split up into 25 fields. Initially all fields are white. In each move it is allowed to change the colour of three fields that are adjacent in a horizontal or vertical line (i.e. white fields turn black and black ones turn white). What is the smallest number of moves needed to obtain the chessboard colouring shown in the diagram?\n<image1>\nSelect only from the following 4 options:\nA. less than 10\nB. 10\nC. 12\nE. This colouring cannot be obtained.",
"options": "A. less than 10\nB. 10\nC. 12\nE. This colouring cannot be obtained.",
"answer": "A"
},
{
"id": "306",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000306.png",
"question": "In the diagram you can see the calendar page of a certain month. Unfortunately ink has run across parts of the page. Which day of the week does the 27th of that month fall on?\n<image1>\nSelect only from the following 4 options:\nA. Monday\nB. Wednesday\nC. Thursday\nD. Saturday",
"options": "A. Monday\nB. Wednesday\nC. Thursday\nD. Saturday",
"answer": "A"
},
{
"id": "312",
"category": "Inductive Reasoning",
"math_category": "statistics",
"image_path": "MathVision/test_000312.png",
"question": "The five vases shown are filled with water. The filling rate is constant. For which of the five vases does the graph shown describe the height of the water $h$ as a function of the time t?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "321",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000321.png",
"question": "Archimedes has calculated 15!. The result is on the board. Unfortunately two of the digits, the second and the tenth, cannot be read. What are the two missing digits? (Remark: $15 !=15 \\cdot 14 \\cdot 13 \\cdot \\ldots \\cdot 2 \\cdot 1$ )\n<image1>\nSelect only from the following 4 options:\nA. 2 and 0\nB. 4 and 8\nC. 7 and 4\nD. 9 and 2",
"options": "A. 2 and 0\nB. 4 and 8\nC. 7 and 4\nD. 9 and 2",
"answer": "E"
},
{
"id": "336",
"category": "Inductive Reasoning",
"math_category": "statistics",
"image_path": "MathVision/test_000336.png",
"question": "The pie chart beside refers to the number of inhabitants of the five zones of a city. The central zone has the same population as the north, west and east zones together and the south zone has half of the inhabitants of the west zone. What is the percentage difference between the inhabitants of the north and east zones?\n<image1>\nSelect only from the following 4 options:\nA. $6 \\%$\nB. $11 \\%$\nC. $12 \\%$\nD. $13 \\%$",
"options": "A. $6 \\%$\nB. $11 \\%$\nC. $12 \\%$\nD. $13 \\%$",
"answer": "D"
},
{
"id": "341",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000341.png",
"question": "Matias wrote 15 numbers on the wheel represented beside. Only one of them is visible, the 10 on top of the wheel. The sum of the numbers in any seven consecutive positions, such as the gray positions in the figure, does not vary. When seven numbers in consecutive positions are summed up, which of the following results is possible?\n<image1>\nSelect only from the following 4 options:\nA. 49\nB. 70\nC. 75\nE. 150",
"options": "A. 49\nB. 70\nC. 75\nE. 150",
"answer": "B"
},
{
"id": "350",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000350.png",
"question": "Adam and Bruna try to find out which is Carla's favorite figure, amongst the figures beside. Adam knows that Carla told Bruna what the shape of the figure was. Bruna knows that Carla told Adam what color the figure was. The following conversation takes place. Adam: \"I don't know what Carla's favorite figure is and I know that Bruna doesn't know either\". Bruna: \"At first I didn't know what Carla's favorite figure was, but now I know\". Adam: \"Now I know too\". What is Carla's favorite figure?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "E"
},
{
"id": "351",
"category": "Inductive Reasoning",
"math_category": "statistics",
"image_path": "MathVision/test_000351.png",
"question": "Paula's weather app shows a diagram of the predicted weather and maximum temperatures for the next seven days, as shown. Which of the following represents the corresponding graph of maximum temperatures?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "E"
},
{
"id": "353",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000353.png",
"question": "After the storm last night, the flagpole on our school building is leaning over. Looking from northwest, its tip is to the right of its bottom point. Looking from the east, its tip is also to the right of its bottom point. In which direction could the flagpole be leaning over?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "A"
},
{
"id": "361",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000361.png",
"question": "Five kangaroos named A, B, C, D and E have one child each, named a, b, c, d and e, not necessarily in that order. In the first group photo shown exactly 2 of the children are standing next to their mothers. In the second group photo exactly 3 of the children are standing next to their mothers. Whose child is a?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "366",
"category": "Inductive Reasoning",
"math_category": "statistics",
"image_path": "MathVision/test_000366.png",
"question": "Martin's smartphone displays the diagram on the right. It shows how long he has worked with four different apps in the previous week. The apps are sorted from top to bottom according to the amount of time they have been used. This week he has spent only half the amount of time using two of the apps and the same amount of time as last week using the other two apps. Which of the following pictures cannot be the diagram for the current week?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "E"
},
{
"id": "370",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000370.png",
"question": "We check the water meter and see that all digits on the display are different. What is the minimum amount of water that has to be used before this happens again?\n<image1>\nSelect only from the following 4 options:\nB. $0.034 \\mathrm{~m}^{3}$\nC. $0.086 \\mathrm{~m}^{3}$\nD. $0.137 \\mathrm{~m}^{3}$\nE. $1.048 \\mathrm{~m}^{3}$",
"options": "B. $0.034 \\mathrm{~m}^{3}$\nC. $0.086 \\mathrm{~m}^{3}$\nD. $0.137 \\mathrm{~m}^{3}$\nE. $1.048 \\mathrm{~m}^{3}$",
"answer": "D"
},
{
"id": "388",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000388.png",
"question": "Leon has drawn a closed path on the surface of a cuboid. Which net can represent his path?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "D"
},
{
"id": "403",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000403.png",
"question": "The picture on the right has been drawn on paper and cut out to make a house. Which of the houses does it make?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "A"
},
{
"id": "408",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000408.png",
"question": "Which of the rectangles $\\mathbf{A}$ to $\\mathbf{E}$ can be covered by the pattern on the right-hand side in such a way that the result is a totally black rectangle?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "D"
},
{
"id": "409",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000409.png",
"question": "In this picture there is what I saw on four different clocks at the same time. Only one of them had the right time. One was 20 minutes fast. Another 20 minutes slow. One had stopped some time ago.\n<image1>\nWhat was the right time?\nSelect only from the following 4 options:\nB. 5:05\nC. 5:25\nD. 5:40\nE. 12:00",
"options": "B. 5:05\nC. 5:25\nD. 5:40\nE. 12:00",
"answer": "B"
},
{
"id": "412",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000412.png",
"question": "There are five houses on Color Street: a blue, a red, a yellow, a pink, and a green one. The houses are numbered from 1 to 5 (see picture). The red house is the neighbor of the blue house only. The blue house stands between the green and red houses.\n<image1>\nWhich color is the house with number 3?\nSelect only from the following 4 options:\nB. Red\nC. Yellow\nD. Pink\nE. Green",
"options": "B. Red\nC. Yellow\nD. Pink\nE. Green",
"answer": "E"
},
{
"id": "416",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000416.png",
"question": "At noon the minute hand of a clock is in the position shown on the left and after the quarter of an hour -- in the position shown on the right. Which position the minute hand will take after seventeen quarters from the noon?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "A"
},
{
"id": "425",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000425.png",
"question": "Which of the following cubes has been folded out of the plan on the right?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "E"
},
{
"id": "428",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000428.png",
"question": "A kangaroo enters a building. He only passes through triangular rooms. Where does he leave the building?\n<image1>\nSelect only from the following 4 options:\nA. a\nB. b\nC. c\nD. d",
"options": "A. a\nB. b\nC. c\nD. d",
"answer": "E"
},
{
"id": "439",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000439.png",
"question": "Zita walks from left to right and puts the numbers into her basket. Which of the following numbers can be in her basket?\n<image1>\nSelect only from the following 4 options:\nA. 1, 2 and 4\nC. 2, 3 and 5\nD. 1, 5 and 6\nE. 1, 2 and 5",
"options": "A. 1, 2 and 4\nC. 2, 3 and 5\nD. 1, 5 and 6\nE. 1, 2 and 5",
"answer": "C"
},
{
"id": "440",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000440.png",
"question": "In which figure can you find the largest number of small squares?\n<image1>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "C"
},
{
"id": "453",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000453.png",
"question": "Which of the figures is shown most often in the sequence?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "D"
},
{
"id": "457",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000457.png",
"question": "One of the cube faces is cut along its diagonals (see the fig.). Which two of the following nets are impossible?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA. 1 and 3\nC. 3 and 4\nD. 3 and 5\nE. 2 and 4",
"options": "A. 1 and 3\nC. 3 and 4\nD. 3 and 5\nE. 2 and 4",
"answer": "D"
},
{
"id": "467",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000467.png",
"question": "In the picture on the right you see a map. In the middle a piece is missing. The cat should be able to reach the milk, and the mouse the cheese, but the cat and the mouse must not meet each other. What should the piece in the middle look like?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "E"
},
{
"id": "468",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000468.png",
"question": "Which square contains 3 quadrilaterals, 3 circles and 4 hearts?\n<image1>\nSelect only from the following 4 options:\nA. A)\nB. B)\nD. D)\nE. E)",
"options": "A. A)\nB. B)\nD. D)\nE. E)",
"answer": "D"
},
{
"id": "475",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000475.png",
"question": "Which stone should Mr Flintstone place on the right side of the scales, so that both sides weigh the same?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "C"
},
{
"id": "477",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000477.png",
"question": "Maria describes one of these five shapes in the following way: \"It is not a square. It is grey. It is either round or three sided.\" Which shape did she describe?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "B"
},
{
"id": "478",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000478.png",
"question": "Which shape has the biggest area?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "C"
},
{
"id": "481",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000481.png",
"question": "How often in a day does a digital clock display four identical digits? The picture shows a digital clock that is displaying exactly two different digits.\n<image1>\nSelect only from the following 4 options:\nA. 1 time\nC. 3 times\nD. 5 times\nE. 12 times",
"options": "A. 1 time\nC. 3 times\nD. 5 times\nE. 12 times",
"answer": "C"
},
{
"id": "482",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000482.png",
"question": "Four identical dice were put together to make a tower as shown. The sum of the numbers on opposite faces of each dice is always 7. What would the tower look like from behind?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB. B)\nC. C)\nD. D)\nE. E)",
"options": "B. B)\nC. C)\nD. D)\nE. E)",
"answer": "C"
},
{
"id": "491",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000491.png",
"question": "Mike and Jake play darts. Each of them throws three darts. Who won, and by how many points?\nMike: <image1>\nJake: <image2>\nSelect only from the following 4 options:\nA. Mike won. He had 3 points more.\nC. Mike won. He had 2 points more.\nD. Jake won. He had 2 points more.\nE. Mike won. He had 4 points more.",
"options": "A. Mike won. He had 3 points more.\nC. Mike won. He had 2 points more.\nD. Jake won. He had 2 points more.\nE. Mike won. He had 4 points more.",
"answer": "E"
},
{
"id": "494",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000494.png",
"question": "You need 3 pieces to build this shape. Each piece is made out of 4 , equally sized cubes of the same colour. What is the shape of the white piece?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA. (A)\nC. (C)\nD. (D)\nE. (E)",
"options": "A. (A)\nC. (C)\nD. (D)\nE. (E)",
"answer": "D"
},
{
"id": "499",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000499.png",
"question": "In which picture are there more black Kangaroos than white ones?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "D"
},
{
"id": "500",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000500.png",
"question": "Anna has <image1>.\nBarbara gave Eva <image2>.\nJosef has a <image3>.\nBob has <image4>.\nWho is Barbara?\n<image5>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "D"
},
{
"id": "501",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000501.png",
"question": "Anna starts in the direction of the arrow. At each crossing she turns either right or left. At the first crossing she turns right, at the next left, then left again, then right, then left and left again. What will she find at the next crossing that she comes to?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "A"
},
{
"id": "510",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000510.png",
"question": "Luisa draws a star. She cuts a piece out of the middle of the drawing. What does this piece look like?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "D"
},
{
"id": "512",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000512.png",
"question": "Christopher solved the sums next to the dots that you can see on the right, and got the answers 0 to 5 . He joined the dots in order. He started with the dot that had the answer 0 and finished with the dot that had the answer 5 . Which shape was he left with?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA. (A)\nB. (B)\nC. (C)\nE. (E)",
"options": "A. (A)\nB. (B)\nC. (C)\nE. (E)",
"answer": "A"
},
{
"id": "513",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000513.png",
"question": "Mr Hofer has drawn a picture of flowers on the inside of a display window (large picture). What do these flowers look like when you look at the picture from the outside?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "E"
},
{
"id": "515",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000515.png",
"question": "The solid in the diagram is made out of 8 identical cubes. What does the solid look like when viewed from above?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "C"
},
{
"id": "517",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000517.png",
"question": "Katja throws darts at the target pictured on the right. If she does not hit the target she gets no points. She throws twice and adds her points. What can her total not be?\n<image1>\nSelect only from the following 4 options:\nB. 70\nC. 80\nD. 90\nE. 100",
"options": "B. 70\nC. 80\nD. 90\nE. 100",
"answer": "D"
},
{
"id": "521",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000521.png",
"question": "Seven children stand in a circle. Nowhere are two boys found standing next to each other. Nowhere are three girls found standing next to each other. What is possible for the number of girls? The number of girls can...\n<image1>\nSelect only from the following 4 options:\nB. ... be 3 or 4.\nC. ... be 4 or 5.\nD. ... only be 5.\nE. ... only be 4.",
"options": "B. ... be 3 or 4.\nC. ... be 4 or 5.\nD. ... only be 5.\nE. ... only be 4.",
"answer": "C"
},
{
"id": "529",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000529.png",
"question": "Florian has 10 identical metal strips, each with the same amount of holes (picture above). He bolts these strips in pairs. That way he gets the 5 long strips in the picture below. Which of the long strips is the longest?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "A"
},
{
"id": "530",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000530.png",
"question": "In kangaroo land you pay with \"Kangas\". Lucy has a few Kangas in her purse. She buys a ball and pays 7 Kangas. How many Kangas does she have left over, after she has paid fort he ball?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "B"
},
{
"id": "532",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000532.png",
"question": "The word Kangaroo is written on the top of my umbrella. Which of the 5 pictures shows my umbrella\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "A"
},
{
"id": "537",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000537.png",
"question": "Peter rides his bike along a cycle path in a park. He starts at point $S$ and rides in the direction of the arrow. At the first crossing he turns right, then at the next left, and then again to the right and then again to left. Which crossing does he not reach?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "D"
},
{
"id": "547",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000547.png",
"question": "Amy, Bert, Carl, Doris and Ernst each throw two dice. Who has got the biggest total altogether?\n<image1>\nSelect only from the following 4 options:\nA. Amy\nB. Bert\nC. Carl\nE. Ernst",
"options": "A. Amy\nB. Bert\nC. Carl\nE. Ernst",
"answer": "E"
},
{
"id": "549",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000549.png",
"question": "Clown Pipo looks like this:\n<image1>\nHe looks at himself in the mirror. Which picture does he see?\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "A"
},
{
"id": "550",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000550.png",
"question": "Georg goes to the circus with his father. They have the seat numbers 71 and 72 . Which arrow do they have to follow to get to their seats?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA. (A)\nB. (B)\nC. (C)\nE. (E)",
"options": "A. (A)\nB. (B)\nC. (C)\nE. (E)",
"answer": "D"
},
{
"id": "551",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000551.png",
"question": "Part of a rectangle is hidden by a curtain. The hidden part is a\n<image1>\nSelect only from the following 4 options:\nA. triangle\nB. square\nC. hexagon\nD. circle",
"options": "A. triangle\nB. square\nC. hexagon\nD. circle",
"answer": "A"
},
{
"id": "552",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000552.png",
"question": "Which of the following sentences fits to the picture?\n<image1>\nSelect only from the following 4 options:\nA. There are equally many circles as squares.\nB. There are fewer circles than triangles.\nC. There are twice as many circles as triangles.\nE. There are two more triangles than circles.",
"options": "A. There are equally many circles as squares.\nB. There are fewer circles than triangles.\nC. There are twice as many circles as triangles.\nE. There are two more triangles than circles.",
"answer": "C"
},
{
"id": "561",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000561.png",
"question": "Five sparrows on a rope look in one or the other direction (see diagram). Every sparrow whistles as many times as the number of sparrows he can see in front of him. Azra therefore whistles four times. Then one sparrow turns in the opposite direction and again all sparrows whistle according to the same rule. The second time the sparrows whistle more often in total than the first time. Which sparrow has turned around?\n<image1>\nSelect only from the following 4 options:\nA. Azra\nB. Bernhard\nC. Christa\nE. Elsa",
"options": "A. Azra\nB. Bernhard\nC. Christa\nE. Elsa",
"answer": "B"
},
{
"id": "564",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000564.png",
"question": "Two square sheets are made up of seethrough and black little squares. Both are placed on top of each other onto the sheet in the middle. Which shape can then still be seen?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA. (A)\nC. (C)\nD. (D)\nE. (E)",
"options": "A. (A)\nC. (C)\nD. (D)\nE. (E)",
"answer": "E"
},
{
"id": "569",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000569.png",
"question": "This picture shows you Anna's house from the front: At the back it has three windows but no door. Which picture shows Anna's house from the back?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "E"
},
{
"id": "587",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000587.png",
"question": "<image1>\nAlbert places these 5 figures <image2>, <image3>, <image4>, <image5>, <image6> on a 5x5-grid. Each figure is only allowed to appear once in every column and in every row. Which figure does Albert have to place on the field with the question mark?\n<image7>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "A"
},
{
"id": "590",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000590.png",
"question": "<image1>\nFelix the rabbit has 20 carrots. Every day he eats 2 of them. He has eaten the 12th carrot on a Wednesday. On which day of the week did he start eating the carrots?\nSelect only from the following 4 options:\nA. Monday\nB. Tuesday\nC. Wednesday\nD. Thursday",
"options": "A. Monday\nB. Tuesday\nC. Wednesday\nD. Thursday",
"answer": "E"
},
{
"id": "595",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000595.png",
"question": "The rooms in Kanga's house are numbered. Eva enters the house through the main entrance. Eva has to walk through the rooms in such a way that each room that she enters has a number higher than the previous one. Through which door does Eva leave the house?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "D"
},
{
"id": "597",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000597.png",
"question": "A belt can be joined together in 5 different ways.\n<image1>\nHow many $\\mathrm{cm}$ is the belt longer if it is only closed in the first hole instead of in all 5 holes?\n<image2>\nSelect only from the following 4 options:\nA. $4 \\mathrm{~cm}$\nB. $8 \\mathrm{~cm}$\nC. $10 \\mathrm{~cm}$\nE. $20 \\mathrm{~cm}$",
"options": "A. $4 \\mathrm{~cm}$\nB. $8 \\mathrm{~cm}$\nC. $10 \\mathrm{~cm}$\nE. $20 \\mathrm{~cm}$",
"answer": "B"
},
{
"id": "599",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000599.png",
"question": "Lea should write the numbers 1 to 7 in the fields of the given figure. There is only one number allowed in every field. Two consecutive numbers are not allowed to be in adjacent fields. Two fields are adjacent if they have one edge or one corner in common. Which numbers can she write into the field with the question mark?\n<image1>\nSelect only from the following 4 options:\nB. only odd numbers\nC. only even numbers\nD. the number 4\nE. the numbers 1 or 7",
"options": "B. only odd numbers\nC. only even numbers\nD. the number 4\nE. the numbers 1 or 7",
"answer": "E"
},
{
"id": "600",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000600.png",
"question": "Each of the four balls weighs either 10 or 20 or 30 or 40 grams. Which ball weighs 30 grams?\n<image1>\nSelect only from the following 4 options:\nB. B\nC. C\nD. D\nE. It can be A or B.",
"options": "B. B\nC. C\nD. D\nE. It can be A or B.",
"answer": "C"
},
{
"id": "602",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000602.png",
"question": "The diagram <image1> shows the number 8. A dot stands for the number 1 and a line for the number 5. Which diagram represents the number 12?\n<image2>\nSelect only from the following 4 options:\nA. (A)\nC. (C)\nD. (D)\nE. (E)",
"options": "A. (A)\nC. (C)\nD. (D)\nE. (E)",
"answer": "C"
},
{
"id": "603",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000603.png",
"question": "There are two holes in the cover of a book. The book lies on the table opened up (see diagram).\n<image1>\nAfter closing up the book which vehicles can Olaf see?\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "D"
},
{
"id": "604",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000604.png",
"question": "Three people walked through the snow in their winter boots. In which order did they walk through the snow?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "A"
},
{
"id": "617",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000617.png",
"question": "Six paper strips are used to weave a pattern (see diagram). What do you see when you look at the pattern from behind?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "C"
},
{
"id": "620",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000620.png",
"question": "A mushroom grows up every day. For five days Maria took a picture of this mushroom, but she wrongly ordered the photos beside. What is the sequence of photos that correctly shows the mushroom growth, from left to right?\n<image1>\nSelect only from the following 4 options:\nA. 2-5-3-1-4\nB. 2-3-4-5-1\nC. 5-4-3-2-1\nD. 1-2-3-4-5",
"options": "A. 2-5-3-1-4\nB. 2-3-4-5-1\nC. 5-4-3-2-1\nD. 1-2-3-4-5",
"answer": "A"
},
{
"id": "621",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000621.png",
"question": "John paints the squares of the board next to it if the result of the calculation inside them is 24. How did the painting of the board look?\n\\begin{tabular}{|l|l|l|}\n\\hline $28-4$ & $4 \\times 6$ & $18+6$ \\\\\n\\hline $19+6$ & $8 \\times 3$ & $29-6$ \\\\\n\\hline\n\\end{tabular}\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "C"
},
{
"id": "623",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000623.png",
"question": "Eli drew a board on the floor with nine squares and wrote a number on each of them, starting from 1 and adding 3 units to each new number he wrote, until he filled the board. In the picture, three of the numbers that Eli wrote appear. Which number below can be one of the numbers she wrote in the colored box?\n<image1>\nSelect only from the following 4 options:\nB. 14\nC. 17\nD. 20\nE. 22",
"options": "B. 14\nC. 17\nD. 20\nE. 22",
"answer": "E"
},
{
"id": "625",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000625.png",
"question": "Five children should paint three quarters of the total amount of the little squares on their trays. One of the children A, B, C, D or E was wrong. Which one?\n<image1>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "C"
},
{
"id": "627",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000627.png",
"question": "Janaína made the construction on a grid, using some lighted colored cubes and others darker. Looking from above the construction, what can she see?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "B"
},
{
"id": "632",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000632.png",
"question": "Julia drew the picture on the side of a cardboard sheet, cut, folded and glued to form a cube. Which of the cubes below can be the one she did?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "A"
},
{
"id": "644",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000644.png",
"question": "Five boys competed in a shooting challenge. Ricky scored the most points. Which target was Ricky's?\n<image1>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "E"
},
{
"id": "647",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000647.png",
"question": "Nisa has 3 different types of cards in a game: apple <image1>, cherry <image2> and grapes <image3>. She chooses 2 cards from the set and swaps their places. She wants to arrange the cards so that all the cards with the same fruit on are next to each other. For which set is this NOT possible?\n<image4>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "A"
},
{
"id": "648",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000648.png",
"question": "Sofie wants to pick 5 different shapes from the boxes. She can only pick 1 shape from each box. Which shape must she pick from box 4?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA. (A)\nB. (B)\nD. (D)\nE. (E)",
"options": "A. (A)\nB. (B)\nD. (D)\nE. (E)",
"answer": "E"
},
{
"id": "650",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000650.png",
"question": "The 5 balls shown begin to move simultaneously in the directions indicated by their arrows.\n<image1>\nWhen two balls going in opposite directions collide, the bigger ball swallows the smaller one and increases its value by the value of the smaller ball. The bigger ball continues to move in its original direction, as shown in the following example.\n<image2>\nWhat is the final result of the collisions of the 5 balls shown?\n<image3>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "C"
},
{
"id": "652",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000652.png",
"question": "Nora plays with 3 cups on the kitchen table. She takes the left-hand cup, flips it over, and puts it to the right of the other cups. The picture shows the first\nmove. What do the cups look like after 10 moves?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA. (A)\nB. (B)\nD. (D)\nE. (E)",
"options": "A. (A)\nB. (B)\nD. (D)\nE. (E)",
"answer": "B"
},
{
"id": "654",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000654.png",
"question": "7 cards are arranged as shown. Each card has 2 numbers on with 1 of them written upside down. The teacher wants to rearrange the cards so that the sum of the numbers in the top row is the same as the sum of the numbers in the bottom row. She can do this by turning one of the cards upside down. Which card must she turn?\n<image1>\nSelect only from the following 4 options:\nA. A\nB. B\nC. D\nE. G",
"options": "A. A\nB. B\nC. D\nE. G",
"answer": "E"
},
{
"id": "661",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000661.png",
"question": "One of the five coins $A, B, C, D$ or $E$ shall be placed in an empty square so that there are exactly two coins in each row and in each column. Which coin should be moved?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "C"
},
{
"id": "664",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000664.png",
"question": "In the diagram below two neighbouring squares are never allowed to have the same number. Which puzzle piece has to be placed in the gap so that this rule is followed?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB. (B)\nC. (C)\nD. (D)\nE. (E)",
"options": "B. (B)\nC. (C)\nD. (D)\nE. (E)",
"answer": "D"
},
{
"id": "665",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000665.png",
"question": "John uses some building blocks to form a work of art. What does John see when he looks at his work of art from above?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "C"
},
{
"id": "671",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000671.png",
"question": "Jan sends five postcards to his friends during his holiday.\nThe card for Michael does not have ducks.\nThe card for Lexi shows a dog.\nThe card for Clara shows the sun.\nThe card for Heidi shows kangaroos.\nThe card for Paula shows exactly two animals.\nWhich card does Jan send to Michael?\n<image1>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "A"
},
{
"id": "675",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000675.png",
"question": "A road leads away from each of the six houses (see diagram). A hexagon showing the roads in the middle is however, missing. Which hexagons fit in the middle so\n<image1>that one can travel from $A$ to $B$ and to $E$, but not to $D$?\nSelect only from the following 4 options:\nB. 1 and 4\nC. 1 and 5\nD. 2 and 3\nE. 4 and 5",
"options": "B. 1 and 4\nC. 1 and 5\nD. 2 and 3\nE. 4 and 5",
"answer": "C"
},
{
"id": "679",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000679.png",
"question": "Five children each light a candle at the same time. Lisa blows out the candles at different times. Now they look as shown in the picture.\n<image1>\nWhich candle did Lisa blow out first?\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "684",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000684.png",
"question": "Christoph folds a see-through piece of foil along the dashed line. What can he then see?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "A"
},
{
"id": "696",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000696.png",
"question": "Five clocks are hanging on the wall. One clock is one hour ahead. Another one is one hour late and one is correct. Two clocks have stopped working. Which clock shows the correct time?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "700",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000700.png",
"question": "Maria colours exactly 5 cells of this grid <image1> in grey. Then she has her 5 friends guess which cells she has coloured in and their answers are the five patterns $A, B, C, D$ and $E$. Maria looks at the patterns and says: \"One of you is right. The others have each guessed exactly four cells correctly.\" Which pattern did Maria paint?\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "E"
},
{
"id": "717",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000717.png",
"question": "We have cut off one corner of a cube. Which of the developments below is the development of the remaining part?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "E"
},
{
"id": "734",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000734.png",
"question": "A paper in the shape of a regular hexagon, as the one shown, is folded in such a way that the three marked corners touch each other at the centre of the hexagon. What is the obtained figure?\n<image1>\nSelect only from the following 4 options:\nA. Six corner star\nB. Dodecagon\nD. Square\nE. Triangle",
"options": "A. Six corner star\nB. Dodecagon\nD. Square\nE. Triangle",
"answer": "E"
},
{
"id": "742",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000742.png",
"question": "On the faces of a cube are written letters. First figure represents one possibility of its net. What letter should be written instead of the question mark in the other version of its net?\n<image1>\nSelect only from the following 4 options:\nA. A\nB. B\nD. E\nE. Impossible to determine",
"options": "A. A\nB. B\nD. E\nE. Impossible to determine",
"answer": "D"
},
{
"id": "744",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000744.png",
"question": "The robot starts walking over white cells of the table from the cell A2 in the direction of the arrow, as shown in the picture. It goes always forward. If it meets an obstacle (a black cell or the border of the table), it turns right. The robot stops in case, it cannot go forward after turning right (i.e., it stops in the cell where the obstacles appear in front of him and on the right). In which cell will it stop?\n<image1>\nSelect only from the following 4 options:\nA. B2\nB. B1\nC. A1\nD. D1",
"options": "A. B2\nB. B1\nC. A1\nD. D1",
"answer": "D"
},
{
"id": "745",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000745.png",
"question": "The carpenter's machine can perform two operations: $\\mathrm{P}$ and $\\mathrm{T}$. The operation $\\mathrm{P}$ is \"printing\" and $\\mathrm{T}$ is \"turning\" (see the figure). What is the right sequence of operations to obtain <image1> starting from <image2>?\n<image3>\nSelect only from the following 4 options:\nA. TTP\nB. PTT\nD. TPP\nE. TPTTT",
"options": "A. TTP\nB. PTT\nD. TPP\nE. TPTTT",
"answer": "B"
},
{
"id": "746",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000746.png",
"question": "Diagonals are drawn in three adjacent faces of a cube as shown in the picture. Which of the following nets is that of the given cube?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "D"
},
{
"id": "761",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000761.png",
"question": "There are 5 boxes and each box contains some cards labeled K, M, H, P, T, as shown below. Peter wants to remove cards out of each box so that at the end each box contained only one card, and different boxes contained cards with different letters. Which card remains in the first box?\n<image1>\nSelect only from the following 4 options:\nB. T\nC. M\nD. H\nE. P",
"options": "B. T\nC. M\nD. H\nE. P",
"answer": "D"
},
{
"id": "763",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000763.png",
"question": "A river starts at point $A$. As it flows the river splits into two. One branch takes $\\frac{1}{3}$ of the water and the second takes the rest. Later the second branch splits into two, one taking $\\frac{3}{4}$ of the branch's water, the other the rest. The map below shows the situation. What part of the original water flows at the point $B$?\n<image1>\nSelect only from the following 4 options:\nA. $\\frac{1}{4}$\nB. $\\frac{2}{9}$\nC. $\\frac{1}{2}$\nE. Cannot be determined",
"options": "A. $\\frac{1}{4}$\nB. $\\frac{2}{9}$\nC. $\\frac{1}{2}$\nE. Cannot be determined",
"answer": "D"
},
{
"id": "765",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000765.png",
"question": "Which of the \"buildings\" A-E, each consisting of 5 cubes, cannot be obtained from the building on the right, if you are allowed to move only one cube?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "C"
},
{
"id": "766",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000766.png",
"question": "Suppose you make a trip over the squared board shown, and you visit every square exactly once. Where must you start, if you can move only horizontally or vertically, but not diagonally?\n<image1>\nSelect only from the following 4 options:\nA. Only in the middle square\nB. Only at a corner square\nD. Only at a shaded square\nE. At any square",
"options": "A. Only in the middle square\nB. Only at a corner square\nD. Only at a shaded square\nE. At any square",
"answer": "D"
},
{
"id": "783",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000783.png",
"question": "lines are drawn on a piece of paper and some of the lines are given numbers. The paper is cut along some of these lines and then folded as shown in the picture. Along which lines were the cuts made?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA. $1,3,5,7$\nC. $2,3,5,6$\nD. $3,4,6,7$\nE. $1,4,5,8$",
"options": "A. $1,3,5,7$\nC. $2,3,5,6$\nD. $3,4,6,7$\nE. $1,4,5,8$",
"answer": "B"
},
{
"id": "808",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000808.png",
"question": "Lisa built a large cube out of 8 smaller ones. The small cubes have the same letter on each of their faces (A,B,C or D). Two cubes with a common face always have a different letter on them. Which letter is on the cube that cannot be seen in the picture?\n<image1>\nSelect only from the following 4 options:\nA. A\nC. C\nD. D\nE. The picture is not possible.",
"options": "A. A\nC. C\nD. D\nE. The picture is not possible.",
"answer": "B"
},
{
"id": "815",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000815.png",
"question": "A few fields of a $4 \\times 4$ grid were painted red. The numbers in the bottom row and left column give the number of fields coloured red. The red was then rubbed away. Which of the following could grids could be a solution?\n<image1>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "D"
},
{
"id": "818",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000818.png",
"question": "How far must Maria walk to reach her friend Bianca?\n<image1>\nSelect only from the following 4 options:\nA. $300 \\mathrm{~m}$\nB. $400 \\mathrm{~m}$\nD. $1 \\mathrm{~km}$\nE. $700 \\mathrm{~m}$",
"options": "A. $300 \\mathrm{~m}$\nB. $400 \\mathrm{~m}$\nD. $1 \\mathrm{~km}$\nE. $700 \\mathrm{~m}$",
"answer": "C"
},
{
"id": "823",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000823.png",
"question": "Johann stacks $1 \\times 1$ cubes on the squares of a $4 \\times 4$ grid. The diagram on the right shows how many cubes were piled on top of each other on each square of the grid. What will Johann see if he looks from behind (hinten) at the tower?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA. (A)\nB. (B)\nC. (C)\nE. (E)",
"options": "A. (A)\nB. (B)\nC. (C)\nE. (E)",
"answer": "C"
},
{
"id": "830",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000830.png",
"question": "A white and a grey ring are interlinked with one another. Peter sees the two rings from the front as they are seen in the diagram on the right. Paul sees the rings from the back. What does he see?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "D"
},
{
"id": "835",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000835.png",
"question": "The kangaroos $A, B, C, D$ and $E$ sit in this order in a clockwise direction around a round table. After a bell sounds all but one kangaroo change seats with a neighbour. Afterwards they sit in the following order in a clockwise direction: A, E, B, D, C. Which kangaroo did not change places?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "B"
},
{
"id": "840",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000840.png",
"question": "The word KANGAROO is written on the top side of my umbrella. Which of the following pictures does not show my umbrella?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "C"
},
{
"id": "846",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000846.png",
"question": "Andrea has 4 equally long strips of paper. When she glues two together with an overlap of $10 \\mathrm{~cm}$, she gets a strip $50 \\mathrm{~cm}$ long.\n<image1>\nWith the other two she wants to make a $56 \\mathrm{~cm}$ long strip. How long must the overlap be?\n<image2>\nSelect only from the following 4 options:\nB. $6 \\mathrm{~cm}$\nC. $8 \\mathrm{~cm}$\nD. $10 \\mathrm{~cm}$\nE. $12 \\mathrm{~cm}$",
"options": "B. $6 \\mathrm{~cm}$\nC. $8 \\mathrm{~cm}$\nD. $10 \\mathrm{~cm}$\nE. $12 \\mathrm{~cm}$",
"answer": "A"
},
{
"id": "849",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000849.png",
"question": "Each of the 9 sides of the triangles in the picture will be coloured blue, green or red. Three of the sides are already coloured. Which colour can side $\\mathrm{x}$ have, if the sides of each triangle must be coloured in three different colours?\n<image1>\nSelect only from the following 4 options:\nA. only blue\nB. only green\nD. Each of the three colours is possible.\nE. The colouring described is not possible",
"options": "A. only blue\nB. only green\nD. Each of the three colours is possible.\nE. The colouring described is not possible",
"answer": "C"
},
{
"id": "851",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000851.png",
"question": "Nina wants to make a cube from the paper net. You can see there are 7 squares Instead of 6. Which square(s) can she remove from the net, so that the other 6 squares remain connected and from the newly formed net a cube can be made?\n<image1>\nSelect only from the following 4 options:\nB. only 7\nC. only 3 or 4\nD. only 3 or 7\nE. only 3,4 or 7",
"options": "B. only 7\nC. only 3 or 4\nD. only 3 or 7\nE. only 3,4 or 7",
"answer": "D"
},
{
"id": "860",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000860.png",
"question": "The given net is folded along the dotted lines to form an open box. The box is placed on the table so that the opening is on the top. Which side is facing the table?\n<image1>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "B"
},
{
"id": "870",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000870.png",
"question": "Jane, Kate and Lynn go for a walk. Jane walks at the very front, Kate in the middle and Lynn at the very back. Jane weighs $500 \\mathrm{~kg}$ more than Kate and Kate weighs $1000 \\mathrm{~kg}$ less than Lynn. Which of the following pictures shows Jane, Kate and Lynn in the right order?\n<image1>\nSelect only from the following 4 options:\nB. (B)\nC. (C)\nD. (D)\nE. (E)",
"options": "B. (B)\nC. (C)\nD. (D)\nE. (E)",
"answer": "A"
},
{
"id": "874",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000874.png",
"question": "Boris wants to increase his pocket money. To achieve this a fairy gives him three magic wands. He has to use every single one exactly once.\n<image1>\nIn which order does he have to use the magic wands, in order to get the most money?\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "D"
},
{
"id": "879",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000879.png",
"question": "A square floor is made up of triangular and square tiles in grey and white. What is the smallest number of grey tiles that have to be swapped with white tiles, so that the floor looks the same from all four given viewing directions?\n<image1>\nSelect only from the following 4 options:\nA. three triangles, one square\nC. one triangle, one square\nD. three triangles, three squares\nE. three triangles, two squares",
"options": "A. three triangles, one square\nC. one triangle, one square\nD. three triangles, three squares\nE. three triangles, two squares",
"answer": "C"
},
{
"id": "883",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000883.png",
"question": "Peter places three building blocks on a table, as shown. What does he see when he is looking at them from above?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "C"
},
{
"id": "887",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000887.png",
"question": "A big spot of ink covers most of a calendar page of a certain month. Which day of the week does the 25th day of that month fall on?\n<image1>\nSelect only from the following 4 options:\nB. Wednesday\nC. Thursday\nD. Saturday\nE. Sunday",
"options": "B. Wednesday\nC. Thursday\nD. Saturday\nE. Sunday",
"answer": "D"
},
{
"id": "893",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000893.png",
"question": "The faces of a die are either white, grey or black. Opposite faces are always a different colour. Which of the following nets does not belong to such a die?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "E"
},
{
"id": "896",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000896.png",
"question": "Four ladybirds each sit on a different cell of a $4 \\times 4$ grid. One is asleep and does not move. On a whistle the other three each move to an adjacent free cell. They can crawl up, down, to the right or to the left but are not allowed on any account to move back to the cell that they have just come from. Where could the ladybirds be after the fourth whistle?\nInitial position:\n<image1>\nAfter the first whistle:\n<image2>\nAfter the second whistle:\n<image3>\nAfter the third whistle:\n<image4>\n<image5>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "A"
},
{
"id": "901",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000901.png",
"question": "A digital clock shows the following time: <image1> What time is it when it uses the exactly same digits again for the first time after that?\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "C"
},
{
"id": "910",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000910.png",
"question": "Each of the nets of a cube has a line drawn on. For which net does the line form a closed loop when the net is folded up to make a cube?\n<image1>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "D"
},
{
"id": "914",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000914.png",
"question": "The cardboard is folded up into a $2 \\times 1 \\times 1$ box. Which of the pictures does not show the box?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "B"
},
{
"id": "919",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000919.png",
"question": "Bia has five coins as shown beside. She went to the grocery store to buy a fruit, using only three coins, without having to receive change. Among the prices of the following fruits, which one can she NOT buy?\n<image1>\nSelect only from the following 4 options:\nA. 1,30\nB. 1,35\nC. 1,40\nE. 1,75",
"options": "A. 1,30\nB. 1,35\nC. 1,40\nE. 1,75",
"answer": "C"
},
{
"id": "923",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000923.png",
"question": "When the bat Elisa left its cave at night, the digital clock showed <image1>. When she came back in the morning and hung herself upside down, she looked at her watch and saw <image1>. How long did she stay out of the cave?\nSelect only from the following 4 options:\nA. 2h 48m\nB. 2h 59m\nC. 3h 39m\nD. 3h 41m",
"options": "A. 2h 48m\nB. 2h 59m\nC. 3h 39m\nD. 3h 41m",
"answer": "D"
},
{
"id": "925",
"category": "Quantitative Reasoning",
"math_category": "counting",
"image_path": "MathVision/test_000925.png",
"question": "The following figures show five paths, indicated by the thickest lines, between the $X$ and $Y$ points. Which of these paths is the longest?\n<image1>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "A"
},
{
"id": "934",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000934.png",
"question": "Ten people order an ice cream for each one. They ask for four vanilla ice creams, three chocolate ice creams, two lemon ice creams and one mango ice cream. As a topping, they ask for four umbrellas, three cherries, two wafers and a chocolate gum, one topping for each ice cream. Since they don't want two ice creams the same, which of the following combinations is possible?\n<image1>\nSelect only from the following 4 options:\nA. Chocolat and chocolate gum.\nB. Mango and cherry.\nC. Lemmon and wafer.\nD. Mango and wafer.",
"options": "A. Chocolat and chocolate gum.\nB. Mango and cherry.\nC. Lemmon and wafer.\nD. Mango and wafer.",
"answer": "E"
},
{
"id": "937",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000937.png",
"question": "The figure shows a map with some islands and how they are connected by bridges. A navigator wants to pass through each of the islands exactly once. He started at Cang Island and wants to finish at Uru Island. He has just arrived at the black island in the center of the map. In which direction must he go now to be able to complete his route?\n<image1>\nSelect only from the following 4 options:\nA. North.\nC. South.\nD. West.\nE. There is more than one possible choice",
"options": "A. North.\nC. South.\nD. West.\nE. There is more than one possible choice",
"answer": "C"
},
{
"id": "941",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000941.png",
"question": "Sofie wants to write the word KENGU by using letters from the boxes. She can only take one letter from each box. What letter must Sofie take from box 4?\n<image1>\nSelect only from the following 4 options:\nA. K\nC. N\nD. G\nE. U",
"options": "A. K\nC. N\nD. G\nE. U",
"answer": "D"
},
{
"id": "947",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000947.png",
"question": "The map shows three bus stations at points $A, B$ and $C$. A tour from station $A$ to the Zoo and the Port and back to $A$ is $10 \\mathrm{~km}$ long. $A$ tour from station $B$ to the Park and the Zoo and back to B is $12 \\mathrm{~km}$ long. A tour from station C to the Port and the Park and back to $C$ is $13 \\mathrm{~km}$ long. Also, A tour from the Zoo to the Park and the Port and back to the Zoo is $15 \\mathrm{~km}$ long. How long is the shortest tour from A to B to $C$ and back to $A$?\n<image1>\nSelect only from the following 4 options:\nA. $18 \\mathrm{~km}$\nC. $25 \\mathrm{~km}$\nD. $35 \\mathrm{~km}$\nE. $50 \\mathrm{~km}$",
"options": "A. $18 \\mathrm{~km}$\nC. $25 \\mathrm{~km}$\nD. $35 \\mathrm{~km}$\nE. $50 \\mathrm{~km}$",
"answer": "B"
},
{
"id": "951",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000951.png",
"question": "A triangular pyramid is built with 10 identical balls, like this <image1>. Each ball has one of the letters A, $B, C, D$ and $E$ on it. There are 2 balls marked with each letter. The picture shows 3 side views of the pyramid. What is the letter on the ball with the question mark?\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "A"
},
{
"id": "952",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000952.png",
"question": "Ronja had four white tokens and Wanja had four grey tokens. They played a game in which they took turns to place one of their tokens to create two piles. Ronja placed her first token first. Which pair of piles could they not create?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "E"
},
{
"id": "959",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_000959.png",
"question": "There are rectangular cards divided into 4 equal cells with different shapes <image1> drawn in each cell. Cards can be placed side by side only if the same shapes appear in adjacent cells on their common side. 9 cards are used to form a rectangle as shown in the figure. Which of the following cards was definitely NOT used to form this rectangle?\n<image2>\n<image3>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "E"
},
{
"id": "965",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000965.png",
"question": "How much does this Ferris wheel need to turn so that a white gondola is on top for\nthe first time?\n<image1>\nSelect only from the following 4 options:\nA. $\\frac{1}{2}$ turn\nC. $\\frac{1}{6}$ turn\nD. $\\frac{1}{12}$ turn\nE. $\\frac{5}{6}$ turn",
"options": "A. $\\frac{1}{2}$ turn\nC. $\\frac{1}{6}$ turn\nD. $\\frac{1}{12}$ turn\nE. $\\frac{5}{6}$ turn",
"answer": "D"
},
{
"id": "966",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_000966.png",
"question": "The sides of the square $A B C D$ are $10 \\mathrm{~cm}$ long. What is the total area of the shaded part?\n<image1>\nSelect only from the following 4 options:\nB. $45 \\mathrm{~cm}^{2}$\nC. $50 \\mathrm{~cm}^{2}$\nD. $55 \\mathrm{~cm}^{2}$\nE. $60 \\mathrm{~cm}^{2}$",
"options": "B. $45 \\mathrm{~cm}^{2}$\nC. $50 \\mathrm{~cm}^{2}$\nD. $55 \\mathrm{~cm}^{2}$\nE. $60 \\mathrm{~cm}^{2}$",
"answer": "C"
},
{
"id": "967",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000967.png",
"question": "Five big and four small elephants are marching along a path. Since the path is narrow the elephants cannot change their order. At the fork in the path each elephant either goes to the right or to the left. Which of the following situations cannot happen?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "C"
},
{
"id": "973",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000973.png",
"question": "Anna has glued together several cubes of the same size to form a solid (see picture). Which of the following pictures shows a different view of this solid?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "C"
},
{
"id": "982",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_000982.png",
"question": "Four ribbons $\\mathrm{M}, \\mathrm{N}, \\mathrm{P}$ and $\\mathrm{Q}$ are wrapped around a box. <image1> In which order were they wrapped around the box?\nSelect only from the following 4 options:\nB. N, M, P, Q\nC. N, Q, M, P\nD. N, M, Q, P\nE. $Q, N, M, P$",
"options": "B. N, M, P, Q\nC. N, Q, M, P\nD. N, M, Q, P\nE. $Q, N, M, P$",
"answer": "D"
},
{
"id": "995",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_000995.png",
"question": "Martin has three cards that are labelled on both sides with a number. Martin places the three cards on the table without paying attention to back or front. He adds the three numbers that he can then see. How many different sums can Martin get that way?\n<image1>\nSelect only from the following 4 options:\nB. 5\nC. 6\nD. 9\nE. A different amount.",
"options": "B. 5\nC. 6\nD. 9\nE. A different amount.",
"answer": "E"
},
{
"id": "997",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_000997.png",
"question": "Monika wants to find a path through the labyrinth from 'Start' to 'Ziel'. She has to stick to the following rules: She is only allowed to move horizontally and vertically respectively. She has to enter every white circle exactly once but is not allowed to enter a black circle. In which direction does Monika have to move forwards when she reaches the circle marked with $x$ ? <image1>\nSelect only from the following 4 options:\nB. $\\uparrow$\nC. $\\rightarrow$\nD. $\\leftarrow$\nE. there are several possibilities",
"options": "B. $\\uparrow$\nC. $\\rightarrow$\nD. $\\leftarrow$\nE. there are several possibilities",
"answer": "A"
},
{
"id": "1003",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001003.png",
"question": "A rectangular parallelepiped was composed of 3 pieces, each consisting of 4 little cubes. Then one piece was removed (see picture). Which one?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "1011",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001011.png",
"question": "The section of a cube by a plane generates a plane figure. I have plotted this section in the development of the cube (see the picture). Can you find out what figure it is?\n<image1>\nSelect only from the following 4 options:\nB. A rectangle, but not a square\nC. A right triangle\nD. A square\nE. A hexagon",
"options": "B. A rectangle, but not a square\nC. A right triangle\nD. A square\nE. A hexagon",
"answer": "A"
},
{
"id": "1023",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001023.png",
"question": "Which of the following nets has a cube in the right picture?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "E"
},
{
"id": "1048",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_001048.png",
"question": "In the picture the large square has an area of 1. What is the area of the small black square?\n<image1>\nSelect only from the following 4 options:\nA. $\\frac{1}{100}$\nB. $\\frac{1}{300}$\nC. $\\frac{1}{600}$\nD. $\\frac{1}{900}$",
"options": "A. $\\frac{1}{100}$\nB. $\\frac{1}{300}$\nC. $\\frac{1}{600}$\nD. $\\frac{1}{900}$",
"answer": "D"
},
{
"id": "1054",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_001054.png",
"question": "We want to paint each square in the grid with the colours P, Q, R and S, so that neighbouring squares always have different colours. (Squares which share the same corner point also count as neighbouring.) Some of the squares are already painted. In which colour(s) could the grey square be painted?\n<image1>\nSelect only from the following 4 options:\nA. only Q\nC. only S\nD. either R or S\nE. it is not possible.",
"options": "A. only Q\nC. only S\nD. either R or S\nE. it is not possible.",
"answer": "D"
},
{
"id": "1075",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001075.png",
"question": "Each area in the picture on the right should be coloured using one of the colours, red (R), green (G), blue (B) or orange (O). Areas which touch must be different colours. Which colour is the area marked $X$?\n<image1>\nSelect only from the following 4 options:\nB. blue\nC. green\nD. orange\nE. The colour cannot definitely be determined.",
"options": "B. blue\nC. green\nD. orange\nE. The colour cannot definitely be determined.",
"answer": "A"
},
{
"id": "1077",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001077.png",
"question": "The dark line halves the surface area of the dice shown on the right. Which drawing could represent the net of the die?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "A"
},
{
"id": "1078",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001078.png",
"question": "Lina has placed two tiles on a square game board. Which one of the 5 counters shown, can she add, so that none of the remaining four counters can be placed anymore?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "1098",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001098.png",
"question": "The five shapes pictured were cut out of paper. Four of them can be folded to form a cube. For which shape is this not possible.\n<image1>\nSelect only from the following 4 options:\nB. Shape 2\nC. Shape 3\nD. Shape 4\nE. Shape 5",
"options": "B. Shape 2\nC. Shape 3\nD. Shape 4\nE. Shape 5",
"answer": "C"
},
{
"id": "1100",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001100.png",
"question": "Johann stacked $1 \\times 1$ cubes on the squares of a $4 \\times 4$ grid. The diagram on the right shows the number of cubes that were stacked on top of each other above each square. What will Johann see if he looks from the back (hinten) at the tower?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "C"
},
{
"id": "1116",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001116.png",
"question": "Four identical cubes (see diagram) were fitted together. If the resulting shape is viewed from the front you see a black circle (picture on the right). What will you see on the back of the shape?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "A"
},
{
"id": "1119",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001119.png",
"question": "The word KANGAROO is written on the top of my umbrella. Which of the following pictures shows my umbrella?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "E"
},
{
"id": "1120",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001120.png",
"question": "The diagram shows the net of a cube whose faces are numbered. Sascha adds the numbers that are on opposite faces of the cube. Which three results does he get?\n<image1>\nSelect only from the following 4 options:\nB. $4,5,12$\nC. $5,6,10$\nD. $5,7,9$\nE. $5,8,8$",
"options": "B. $4,5,12$\nC. $5,6,10$\nD. $5,7,9$\nE. $5,8,8$",
"answer": "A"
},
{
"id": "1121",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001121.png",
"question": "The diagram shows the net of a three-sided prism. Which line of the diagram forms an edge of the prism together with line UV when the net is folded up?\n<image1>\nSelect only from the following 4 options:\nA. WV\nB. XW\nC. XY\nE. RS",
"options": "A. WV\nB. XW\nC. XY\nE. RS",
"answer": "C"
},
{
"id": "1126",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001126.png",
"question": "Each side of each triangle in the diagram is painted either blue, green or red. Four of the sides are already painted. Which colour can the line marked \"x\" have, if each triangle must have all sides in different colours?\n<image1>\nSelect only from the following 4 options:\nA. only green\nB. only red\nC. only blue\nD. either red or blue",
"options": "A. only green\nB. only red\nC. only blue\nD. either red or blue",
"answer": "A"
},
{
"id": "1149",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_001149.png",
"question": "Ant Annie starts at the left end of the stick and crawls $\\frac{2}{3}$ of the length of the stick. Ladybird Bob starts at the right end of the stick und crawls $\\frac{3}{4}$ of the length of the stick. Which fraction of the length of the stick are they then apart from each other?\n<image1>\nSelect only from the following 4 options:\nA. $\\frac{3}{8}$\nB. $\\frac{1}{12}$\nC. $\\frac{5}{7}$\nE. $\\frac{7}{12}$",
"options": "A. $\\frac{3}{8}$\nB. $\\frac{1}{12}$\nC. $\\frac{5}{7}$\nE. $\\frac{7}{12}$",
"answer": "D"
},
{
"id": "1160",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001160.png",
"question": "The fence on the right has many holes. One morning the fence falls over and lies on the floor. Which of the following pictures shows the fallen down fence?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "C"
},
{
"id": "1177",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_001177.png",
"question": "Which cloud contains even numbers only?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "E"
},
{
"id": "1179",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001179.png",
"question": "Three rings are connected to each other as shown. Which of the following pictures also shows three rings connected in the same way?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "1180",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_001180.png",
"question": "Four of the following five diagrams can be drawn without lifting the pencil and without going over a line twice. For one diagram this is not true. Which one is it?\n<image1>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "D"
},
{
"id": "1191",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_001191.png",
"question": "Peter colours in each of the eight circles in one of the colours red, yellow or blue. Two circles that are directly connected by a line, are not allowed to be of the same colour. Which two circles does Peter definitely have to colour in the same colour?\n<image1>\nSelect only from the following 4 options:\nA. 5 and 8\nB. 1 and 6\nC. 2 and 7\nE. 3 and 6",
"options": "A. 5 and 8\nB. 1 and 6\nC. 2 and 7\nE. 3 and 6",
"answer": "A"
},
{
"id": "1197",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001197.png",
"question": "As soon as he left his city towards Caecá, Charles saw the sign on the left. When he came back from Caecá, he saw the sign on the right. At that point, how far was it to get to his city?\n<image1>\nSelect only from the following 4 options:\nB. $21 \\mathrm{~km}$\nC. $29 \\mathrm{~km}$\nD. $41 \\mathrm{~km}$\nE. $52 \\mathrm{~km}$",
"options": "B. $21 \\mathrm{~km}$\nC. $29 \\mathrm{~km}$\nD. $41 \\mathrm{~km}$\nE. $52 \\mathrm{~km}$",
"answer": "D"
},
{
"id": "1198",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001198.png",
"question": "Which of the pictures below shows what you will see if you look from above the piece represented on the right?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "C"
},
{
"id": "1201",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_001201.png",
"question": "A square is formed by four identical rectangles and a central square, as in the figure. The area of the square is $81 \\mathrm{~cm}^{2}$ and the square formed by the diagonals of these rectangles has an area equal to $64 \\mathrm{~cm}^{2}$. What is the area of the central square?\n<image1>\nSelect only from the following 4 options:\nA. $25 \\mathrm{~cm}^{2}$\nC. $36 \\mathrm{~cm}^{2}$\nD. $47 \\mathrm{~cm}^{2}$\nE. $49 \\mathrm{~cm}^{2}$",
"options": "A. $25 \\mathrm{~cm}^{2}$\nC. $36 \\mathrm{~cm}^{2}$\nD. $47 \\mathrm{~cm}^{2}$\nE. $49 \\mathrm{~cm}^{2}$",
"answer": "D"
},
{
"id": "1210",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001210.png",
"question": "A cube $3 \\times 3 \\times 3$ is made from $1 \\times 1 \\times 1$ white, grey and black cubes, as shown in the first diagram. The other two diagrams show the white part and the black part of the cube. Which of the following diagrams shows the grey part?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "E"
},
{
"id": "1217",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001217.png",
"question": "5 friends talk about their collected <image1>. Xenia says: \"I have an even number of pins\", Zach: \"Half of my pins are planets, Sue: \"I don't have any moons\", Paul: \"I have more moons than stars\" and Yvonne: \"I have more stars than planets\". Below are the collections of the 5 friends. Which set of pins belongs to Yvonne?\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "E"
},
{
"id": "1229",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001229.png",
"question": "There are 5 trees and 3 paths in a park as shown on the map. Another tree is planted so that there is an equal number of trees on both sides of each path. In\nwhich section of the park will the new tree be planted?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "B"
},
{
"id": "1273",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_001273.png",
"question": "In a square $2003 \\times 2003$, the squares $1 \\times 1$ on the diagonals are colored (like in the picture, where the square is $7 \\times 7$). How many white squares are there?\n<image1>\nSelect only from the following 4 options:\nA. $2002^{2}$\nC. $2001^{2}$\nD. $2003 \\times 2002$\nE. $2003^{2}-2004$",
"options": "A. $2002^{2}$\nC. $2001^{2}$\nD. $2003 \\times 2002$\nE. $2003^{2}-2004$",
"answer": "A"
},
{
"id": "1292",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_001292.png",
"question": "A flag consists of three stripes of equal width, which are divided into two, three and four equal parts, respectively. What fraction of the area of the flag is coloured grey?\n<image1>\nSelect only from the following 4 options:\nB. $\\frac{2}{3}$\nC. $\\frac{3}{5}$\nD. $\\frac{4}{7}$\nE. $\\frac{5}{9}$",
"options": "B. $\\frac{2}{3}$\nC. $\\frac{3}{5}$\nD. $\\frac{4}{7}$\nE. $\\frac{5}{9}$",
"answer": "E"
},
{
"id": "1302",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001302.png",
"question": "The cells of the table are being coloured red (R) and green (G). In each row and in each column there must be two red and two green cells. What will the lowest row look like after colouring the table?\n<image1>\nSelect only from the following 4 options:\nA. GRGR\nB. RGRG\nC. GRRG\nD. RGGR",
"options": "A. GRGR\nB. RGRG\nC. GRRG\nD. RGGR",
"answer": "A"
},
{
"id": "1367",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_001367.png",
"question": "Mrs. Maisl buys four pieces of corn-on-the-cob for each of the four members of her family and get the discount offered. How much does she end up paying?\n<image1>\nSelect only from the following 4 options:\nA. $0.80 €$\nC. $2.80 €$\nD. $3.20 €$\nE. $80 €$",
"options": "A. $0.80 €$\nC. $2.80 €$\nD. $3.20 €$\nE. $80 €$",
"answer": "C"
},
{
"id": "1369",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001369.png",
"question": "A cube is coloured on the outside as if it was made up of four white and four black cubes where no cubes of the same colour are next to each other (see picture). Which of the following figures represents a possible net of the coloured cube?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "E"
},
{
"id": "1412",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_001412.png",
"question": "Three weights are randomly placed on each tray of a beam balance. The balance dips to the right hand side as shown on the picture. The masses of the weights are 101, 102, 103, 104, 105 and 106 grams. For how many percent of the possible distributions is the 106grams-weight on the right (heavier) side?\n<image1>\nSelect only from the following 4 options:\nA. $75 \\%$\nB. $80 \\%$\nD. $95 \\%$\nE. $100 \\%$",
"options": "A. $75 \\%$\nB. $80 \\%$\nD. $95 \\%$\nE. $100 \\%$",
"answer": "B"
},
{
"id": "1423",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001423.png",
"question": "Seven little dice were removed from a $3 \\times 3 \\times 3$ die, as can be seen in the diagram. The remaining (completely symmetrical) figure is cut along a plane through the centre and perpendicular to one of the four space diagonals. What does the cross-section look like?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "A"
},
{
"id": "1426",
"category": "Inductive Reasoning",
"math_category": "statistics",
"image_path": "MathVision/test_001426.png",
"question": "Five identical measuring jugs are filled with water. Four of them contain exactly the same amount of water. Which measuring jug contains a different amount?\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "B"
},
{
"id": "1446",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_001446.png",
"question": "Julia puts the nine chips on the right in a box. She then takes one chip at a time, without looking, and notes down its digit, obtaining, at the end, a number of nine different digits. What is the probability that the number written by Julia is divisible by 45?\n<image1>\nSelect only from the following 4 options:\nA. $\\frac{1}{9}$\nB. $\\frac{2}{9}$\nC. $\\frac{1}{3}$\nD. $\\frac{4}{9}$",
"options": "A. $\\frac{1}{9}$\nB. $\\frac{2}{9}$\nC. $\\frac{1}{3}$\nD. $\\frac{4}{9}$",
"answer": "A"
},
{
"id": "1451",
"category": "Inductive Reasoning",
"math_category": "statistics",
"image_path": "MathVision/test_001451.png",
"question": "Jenny looks at her weather app that shows the predicted weather and maximum temperatures for the next five days. Which of the following represents the corresponding graph of maximum temperatures?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nD",
"options": "A\nB\nC\nD",
"answer": "B"
},
{
"id": "1469",
"category": "Inductive Reasoning",
"math_category": "statistics",
"image_path": "MathVision/test_001469.png",
"question": "Sonja's smartphone displays the diagram on the right. It shows how long she has worked with four different apps in the previous week. This week he has spent only half the amount of time using two of the apps and the same amount of time as last week using the other two apps. Which of the following pictures could be the diagram for the current week?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "C"
},
{
"id": "1498",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001498.png",
"question": "Leon has drawn a closed loop on the surface of a cuboid.\nWhich net cannot show his loop? <image1>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "C"
},
{
"id": "1503",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001503.png",
"question": "The net on the right can be cut out and folded to make a cube. Which face will then be opposite the face marked $\\mathbf{x}$ ? <image1>\nSelect only from the following 4 options:\nA. a\nC. c\nD. d\nE. e",
"options": "A. a\nC. c\nD. d\nE. e",
"answer": "E"
},
{
"id": "1515",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001515.png",
"question": "The diagram shows a net of a cube, with three dotted lines added. If you folded the net into a cube and then cut along the dotted lines you would have a hole in the cube. What would be the shape of the hole? <image1>\nSelect only from the following 4 options:\nB. a rectangle, but not a square\nC. a right-angled triangle\nD. a square\nE. a hexagon",
"options": "B. a rectangle, but not a square\nC. a right-angled triangle\nD. a square\nE. a hexagon",
"answer": "A"
},
{
"id": "1518",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_001518.png",
"question": "Alfonso the Ostrich has been training for the Head in the Sand Competition in the Animolympiad. He buried his head in the sand last week and pulled it out at 8.15 am on Monday to find he had reached a new personal record - he had been underground for 98 hours and 56 minutes. When did Alfonso bury his head in the sand? <image1>\nSelect only from the following 4 options:\nA. On Thursday at 5.19 am\nB. On Thursday at $5.41 \\mathrm{am}$\nD. On Friday at 5.19 am\nE. On Friday at 11.11 am",
"options": "A. On Thursday at 5.19 am\nB. On Thursday at $5.41 \\mathrm{am}$\nD. On Friday at 5.19 am\nE. On Friday at 11.11 am",
"answer": "A"
},
{
"id": "1526",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001526.png",
"question": "Which of the following cubes can be folded from the net on the right?\n<image1>\n<image2>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "E"
},
{
"id": "1535",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001535.png",
"question": "If all the statements in the box are true, which of $\\mathrm{A}, \\mathrm{B}, \\mathrm{C}$, $\\mathrm{D}$ or $\\mathrm{E}$ can be deduced? <image1>\nSelect only from the following 4 options:\nA. It's red\nB. It's a blue square\nC. It's red and round\nE. It's blue and round",
"options": "A. It's red\nB. It's a blue square\nC. It's red and round\nE. It's blue and round",
"answer": "E"
},
{
"id": "1547",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001547.png",
"question": "Each object shown is made up of 7 cubes. Which of $\\mathrm{P}, \\mathrm{Q}, \\mathrm{R}$ and $\\mathrm{S}$ can be obtained by rotating $\\mathrm{T}$ ?\n<image1>\nSelect only from the following 4 options:\nA. P and R\nB. Q and S\nC. only R\nD. none of them",
"options": "A. P and R\nB. Q and S\nC. only R\nD. none of them",
"answer": "A"
},
{
"id": "1564",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001564.png",
"question": "In each of the squares in the grid, one of the letters $P, Q, R$ and $S$ must be entered in such a way that adjacent squares (whether connected by an edge or just a corner) do not contain the same letter. Some of the letters have already been entered as shown.\nWhat are the possibilities for the letter in the shaded square?\n<image1>\nSelect only from the following 4 options:\nB. only $R$\nC. only $S$\nD. either $R$ or $S$, but no others\nE. it is impossible to complete the grid",
"options": "B. only $R$\nC. only $S$\nD. either $R$ or $S$, but no others\nE. it is impossible to complete the grid",
"answer": "D"
},
{
"id": "1582",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001582.png",
"question": "Each region in the figure is to be coloured with one of four colours: red $(\\mathrm{R})$, green $(\\mathrm{G})$, orange $(\\mathrm{O})$ or yellow $(\\mathrm{Y})$. The colours of only three regions are shown. Any two regions that touch must have different colours. <image1> The colour of the region $\\mathrm{X}$ is:\nSelect only from the following 4 options:\nB. orange\nC. green\nD. yellow\nE. impossible to determine",
"options": "B. orange\nC. green\nD. yellow\nE. impossible to determine",
"answer": "A"
},
{
"id": "1587",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_001587.png",
"question": "Each of the nine paths in a park is $100 \\mathrm{~m}$ long. Ann wants to go from $X$ to $Y$ without going along any path more than once. What is the length of the longest route she can choose? <image1>\nSelect only from the following 4 options:\nA. $900 \\mathrm{~m}$\nB. $800 \\mathrm{~m}$\nC. $700 \\mathrm{~m}$\nD. $600 \\mathrm{~m}$",
"options": "A. $900 \\mathrm{~m}$\nB. $800 \\mathrm{~m}$\nC. $700 \\mathrm{~m}$\nD. $600 \\mathrm{~m}$",
"answer": "C"
},
{
"id": "1603",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001603.png",
"question": "John has made a building of unit cubes standing on a $4 \\times 4$ grid. The diagram shows the number of cubes standing on each cell. When John looks horizontally at the building from behind, what does he see? <image1>\n<image2>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "C"
},
{
"id": "1618",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001618.png",
"question": "My umbrella has KANGAROO written on top as shown in the diagram. Which one of the following pictures also shows my umbrella?\n<image1>\n<image2>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "E"
},
{
"id": "1623",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001623.png",
"question": "Luis wants to make a pattern by colouring the sides of the triangles shown in the diagram. He wants each triangle to have one red side, one green side and one blue side. Luis has already coloured some of the sides as shown. What colour can he use for the side marked $x$ ? <image1>\nSelect only from the following 4 options:\nA. only green\nB. only blue\nD. either blue or red\nE. The task is impossible",
"options": "A. only green\nB. only blue\nD. either blue or red\nE. The task is impossible",
"answer": "A"
},
{
"id": "1638",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001638.png",
"question": "A $3 \\times 3 \\times 3$ cube is built from 15 black cubes and 12 white cubes. Five faces of the larger cube are shown.\n<image1>\nWhich of the following is the sixth face of the larger cube?\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "A"
},
{
"id": "1641",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_001641.png",
"question": "Adam the Ant started at the left-hand end of a pole and crawled $\\frac{2}{3}$ of its length. Benny the Beetle started at the right-hand end of the same pole and crawled $\\frac{3}{4}$ of its length. What fraction of the length of the pole are Adam and Benny now apart?\n<image1>\nSelect only from the following 4 options:\nB. $\\frac{1}{12}$\nC. $\\frac{5}{7}$\nD. $\\frac{1}{2}$\nE. $\\frac{5}{12}$",
"options": "B. $\\frac{1}{12}$\nC. $\\frac{5}{7}$\nD. $\\frac{1}{2}$\nE. $\\frac{5}{12}$",
"answer": "E"
},
{
"id": "1663",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_001663.png",
"question": "Which of the diagrams below cannot be drawn without lifting your pencil off the page and without drawing along the same line twice?\n<image1>\nSelect only from the following 4 options:\nA\nC\nD\nE",
"options": "A\nC\nD\nE",
"answer": "D"
},
{
"id": "1672",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_001672.png",
"question": "Prab painted each of the eight circles in the diagram red, yellow or blue such that no two circles that are joined directly were painted the same colour. Which two circles must have been painted the same colour? <image1>\nSelect only from the following 4 options:\nA. 5 and 8\nB. 1 and 6\nC. 2 and 7\nE. 3 and 6",
"options": "A. 5 and 8\nB. 1 and 6\nC. 2 and 7\nE. 3 and 6",
"answer": "A"
},
{
"id": "1696",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001696.png",
"question": "There are five big trees and three paths in a park. It has been decided to plant a sixth tree so that there are the same number of trees on either side of each path. In which region of the park should the sixth tree be planted? <image1>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "B"
},
{
"id": "1718",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_001718.png",
"question": "In the diagram, five rectangles of the same size are shown with each side labelled with a number.\n<image1>\nThese rectangles are placed in the positions I to $\\mathrm{V}$ as shown so that the numbers on the sides that touch each other are equal.\n<image2>\nWhich of the rectangles should be placed in position I?\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "C"
},
{
"id": "1754",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001754.png",
"question": "The diagram below shows five rectangles, each containing some of the letters $\\mathrm{P}, \\mathrm{R}, \\mathrm{I}, \\mathrm{S}$ and $\\mathrm{M}$.\n<image1>\nHarry wants to cross out letters so that each rectangle contains only one letter and each rectangle contains a different letter. Which letter does he not cross out in rectangle 2?\nSelect only from the following 4 options:\nA. P\nB. R\nC. I\nD. S",
"options": "A. P\nB. R\nC. I\nD. S",
"answer": "B"
},
{
"id": "1771",
"category": "algorithmic",
"math_category": "graph theory",
"image_path": "MathVision/test_001771.png",
"question": "Sid is colouring the cells in the grid using the four colours red, blue, yellow and green in such a way that any two cells that share a vertex are coloured differently. He has already coloured some of the cells as shown.\nWhat colour will he use for the cell marked $X$ ?\n<image1>\nSelect only from the following 4 options:\nA. Red\nB. Blue\nD. Green\nE. You can't be certain",
"options": "A. Red\nB. Blue\nD. Green\nE. You can't be certain",
"answer": "A"
},
{
"id": "1773",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_001773.png",
"question": "Andrew wants to write the letters of the word KANGAROO in the cells of a $2 \\times 4$ grid such that each cell contains exactly one letter. He can write the first letter in any cell he chooses but each subsequent letter can only be written in a cell with at least one common vertex with the cell in which the previous letter was written. Which of the following arrangements of letters could he not produce in this way?\n<image1>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "D"
},
{
"id": "1780",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001780.png",
"question": "Claudette has eight dice, each with one of the letters $P, Q, R$ and $S$ written on all six faces. She builds the block shown in the diagram so that dice with faces which touch have different letters written on them.\nWhat letter is written on the faces of the one dice which is not shown on the picture? <image1>\nSelect only from the following 4 options:\nA. P\nB. Q\nC. R\nD. S",
"options": "A. P\nB. Q\nC. R\nD. S",
"answer": "B"
},
{
"id": "1786",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_001786.png",
"question": "Joseph writes the numbers 1 to 12 in the circles so that the numbers in adjacent circles differ by either 1 or 2 . Which pair of numbers does he write in adjacent circles? <image1>\nSelect only from the following 4 options:\nA. 3 and 4\nC. 6 and 7\nD. 8 and 9\nE. 8 and 10",
"options": "A. 3 and 4\nC. 6 and 7\nD. 8 and 9\nE. 8 and 10",
"answer": "E"
},
{
"id": "1787",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001787.png",
"question": "Patricia painted some of the cells of a $4 \\times 4$ grid. Carl counted how many red cells there were in each row and in each column and created a table to show his answers.\nWhich of the following tables could Carl have created?\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "D"
},
{
"id": "1795",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_001795.png",
"question": "Christopher has made a building out of blocks. The grid on the right shows the number of blocks in each part of the building, when viewed from above. Which of the following gives the view you see when you look at Christopher's building from the front?\n\\begin{tabular}{|l|l|l|l|}\n\\hline 4 & 2 & 3 & 2 \\\\\n\\hline 3 & 3 & 1 & 2 \\\\\n\\hline 2 & 1 & 3 & 1 \\\\\n\\hline 1 & 2 & 1 & 2 \\\\\n\\hline \\multicolumn{4}{|c|}{ front }\n\\end{tabular}\n<image1>\nSelect only from the following 4 options:\nB\nC\nD\nE",
"options": "B\nC\nD\nE",
"answer": "E"
},
{
"id": "1826",
"category": "Quantitative Reasoning",
"math_category": "arithmetic",
"image_path": "MathVision/test_001826.png",
"question": "The flag shown in the diagram consists of three stripes, each of equal height, which are divided into two, three and four equal parts, respectively. What fraction of the area of the flag is shaded? <image1>\nSelect only from the following 4 options:\nA. $\\frac{1}{2}$\nB. $\\frac{2}{3}$\nD. $\\frac{4}{7}$\nE. $\\frac{5}{9}$",
"options": "A. $\\frac{1}{2}$\nB. $\\frac{2}{3}$\nD. $\\frac{4}{7}$\nE. $\\frac{5}{9}$",
"answer": "D"
},
{
"id": "1834",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_001834.png",
"question": "To complete the table, each cell must contain either 0 or 1 , and the total of each row and column must be 2 . What are the values of the entries $X$ and $Y$ ? <image1>\nSelect only from the following 4 options:\nA. $X=0, Y=0$\nC. $X=1, Y=0$\nD. $X=1, Y=1$\nE. It is impossible to complete.",
"options": "A. $X=0, Y=0$\nC. $X=1, Y=0$\nD. $X=1, Y=1$\nE. It is impossible to complete.",
"answer": "A"
},
{
"id": "1841",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_001841.png",
"question": "Five boxes contain cards as shown. Simon removes cards so that each box contains exactly one card, and the five cards remaining in the boxes can be used to spell his name. Which card remains in box 2 ?\n<image1>\nSelect only from the following 4 options:\nA. S\nB. I\nC. M\nD. O",
"options": "A. S\nB. I\nC. M\nD. O",
"answer": "D"
},
{
"id": "1926",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_001926.png",
"question": "On a balance scale, three different masses were put at random on each pan and the result is shown in the picture. The masses are of 101, 102, 103, 104, 105 and 106 grams. What is the probability that the 106 gram mass stands on the heavier pan?\n<image1>\nSelect only from the following 4 options:\nB. $80 \\%$\nC. $90 \\%$\nD. $95 \\%$\nE. $100 \\%$",
"options": "B. $80 \\%$\nC. $90 \\%$\nD. $95 \\%$\nE. $100 \\%$",
"answer": "B"
},
{
"id": "1969",
"category": "Inductive Reasoning",
"math_category": "statistics",
"image_path": "MathVision/test_001969.png",
"question": "On Nadya's smartphone, the diagram shows how much time she spent last week on four of her apps. This week she halved the time spent on two of these apps, but spent the same amount of time as the previous week on the other two apps.\n<image1>\nWhich of the following could be the diagram for this week?\n<image2>\nSelect only from the following 4 options:\nA\nB\nD\nE",
"options": "A\nB\nD\nE",
"answer": "E"
},
{
"id": "1977",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_001977.png",
"question": "Cuthbert is going to make a cube with each face divided into four squares. Each square must have one shape drawn on it; either a cross, a triangle or a circle. Squares that share an edge must have different shapes on them. One possible cube is shown in the diagram. Which of the following combinations of crosses and triangles is possible on such a cube (with the other shapes being circles)?\n<image1>\nSelect only from the following 4 options:\nA. 6 crosses, 8 triangles\nB. 7 crosses, 8 triangles\nD. 7 crosses, 7 triangles\nE. none of these are possible",
"options": "A. 6 crosses, 8 triangles\nB. 7 crosses, 8 triangles\nD. 7 crosses, 7 triangles\nE. none of these are possible",
"answer": "E"
},
{
"id": "1992",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_001992.png",
"question": "Vumos wants to write the integers 1 to 9 in the nine boxes shown so that the sum of the integers in any three adjacent boxes is a multiple of 3 . In how many ways can he do this? <image1>\nSelect only from the following 4 options:\nB. $6 \\times 6 \\times 6$\nC. $2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2$\nD. $6 \\times 5 \\times 4 \\times 3 \\times 2 \\times 1$\nE. $9 \\times 8 \\times 7 \\times 6 \\times 5 \\times 4 \\times 3 \\times 2 \\times 1$",
"options": "B. $6 \\times 6 \\times 6$\nC. $2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2$\nD. $6 \\times 5 \\times 4 \\times 3 \\times 2 \\times 1$\nE. $9 \\times 8 \\times 7 \\times 6 \\times 5 \\times 4 \\times 3 \\times 2 \\times 1$",
"answer": "A"
},
{
"id": "2111",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_002111.png",
"question": "There are $5$ yellow pegs, $4$ red pegs, $3$ green pegs, $2$ blue pegs, and $1$ orange peg on a triangular peg board. In how many ways can the pegs be placed so that no (horizontal) row or (vertical) column contains two pegs of the same color?\n\n<image1>\nSelect only from the following 4 options:\nA. $0$\nB. $1$\nD. $\\frac{15!}{5!\\cdot4!\\cdot3!\\cdot2!\\cdot1!}$\nE. $15!$",
"options": "A. $0$\nB. $1$\nD. $\\frac{15!}{5!\\cdot4!\\cdot3!\\cdot2!\\cdot1!}$\nE. $15!$",
"answer": "B"
},
{
"id": "2131",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_002131.png",
"question": "A set of three points is randomly chosen from the grid shown. Each three point set has the same probability of being chosen. What is the probability that the points lie on the same straight line?\n<image1>\nSelect only from the following 4 options:\nA. $\\frac{1}{21}$\nC. $\\frac{2}{21}$\nD. $\\frac{1}{7}$\nE. $\\frac{2}{7}$",
"options": "A. $\\frac{1}{21}$\nC. $\\frac{2}{21}$\nD. $\\frac{1}{7}$\nE. $\\frac{2}{7}$",
"answer": "C"
},
{
"id": "2243",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_002243.png",
"question": "Arjun and Beth play a game in which they take turns removing one brick or two adjacent bricks from one \"wall\" among a set of several walls of bricks, with gaps possibly creating new walls. The walls are one brick tall. For example, a set of walls of sizes $4$ and $2$ can be changed into any of the following by one move: $(3,2),(2,1,2),(4),(4,1),(2,2),$ or $(1,1,2)$.\n<image1>\n\nArjun plays first, and the player who removes the last brick wins. For which starting configuration is there a strategy that guarantees a win for Beth?\nSelect only from the following 4 options:\nA. (6,1,1)\nB. (6,2,1)\nC. (6,2,2)\nE. (6,3,2)",
"options": "A. (6,1,1)\nB. (6,2,1)\nC. (6,2,2)\nE. (6,3,2)",
"answer": "B"
},
{
"id": "2295",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_002295.png",
"question": "<image1>\n\nPascal's triangle is an array of positive integers(See figure), in which the first row is $1$, the second row is two $1$'s, each row begins and ends with $1$, and the $k^\\text{th}$ number in any row when it is not $1$, is the sum of the $k^\\text{th}$ and $(k-1)^\\text{th}$ numbers in the immediately preceding row. The quotient of the number of numbers in the first $n$ rows which are not $1$'s and the number of $1$'s is\nSelect only from the following 4 options:\nA. $\\frac{n^2-n}{2n-1}$\nB. $\\frac{n^2-n}{4n-2}$\nD. $\\frac{n^2-3n+2}{4n-2}$\nE. $\\text{None of these}$",
"options": "A. $\\frac{n^2-n}{2n-1}$\nB. $\\frac{n^2-n}{4n-2}$\nD. $\\frac{n^2-3n+2}{4n-2}$\nE. $\\text{None of these}$",
"answer": "D"
},
{
"id": "2344",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_002344.png",
"question": "The adjacent map is part of a city: the small rectangles are rocks, and the paths in between are streets. Each morning, a student walks from intersection A to intersection B, always walking along streets shown, and always going east or south. For variety, at each intersection where he has a choice, he chooses with probability $\\frac{1}{2}$ whether to go east or south. Find the probability that through any given morning, he goes through $C$.\n\n<image1>\nSelect only from the following 4 options:\nB. $\\frac{1}{2}$\nC. $\\frac{4}{7}$\nD. $\\frac{21}{32}$\nE. $\\frac{3}{4}$",
"options": "B. $\\frac{1}{2}$\nC. $\\frac{4}{7}$\nD. $\\frac{21}{32}$\nE. $\\frac{3}{4}$",
"answer": "D"
},
{
"id": "2374",
"category": "Inductive Reasoning",
"math_category": "statistics",
"image_path": "MathVision/test_002374.png",
"question": "On each horizontal line in the figure below, the five large dots indicate the populations of cities $A$, $B$, $C$, $D$ and $E$ in the year indicated. Which city had the greatest percentage increase in population from 1970 to 1980?\n\n<image1>\nSelect only from the following 4 options:\nA\nB\nC\nE",
"options": "A\nB\nC\nE",
"answer": "C"
},
{
"id": "2405",
"category": "algorithmic",
"math_category": "combinatorics",
"image_path": "MathVision/test_002405.png",
"question": "Let $S$ be the set of points on the rays forming the sides of a $120^{\\circ}$ angle, and let $P$ be a fixed point inside the angle on the angle bisector. Consider all distinct equilateral triangles $PQR$ with $Q$ and $R$ in $S$. (Points $Q$ and $R$ may be on the same ray, and switching the names of $Q$ and $R$ does not create a distinct triangle.) There are\n<image1>\nSelect only from the following 4 options:\nA. $\\text{exactly 2 such triangles} \\$\nB. $\\text{exactly 3 such triangles} \\$\nC. $\\text{exactly 7 such triangles} \\$\nE. $\\text{more than 15 such triangles}$",
"options": "A. $\\text{exactly 2 such triangles} \\$\nB. $\\text{exactly 3 such triangles} \\$\nC. $\\text{exactly 7 such triangles} \\$\nE. $\\text{more than 15 such triangles}$",
"answer": "E"
},
{
"id": "2473",
"category": "spatial",
"math_category": "descriptive geometry",
"image_path": "MathVision/test_002473.png",
"question": "There are 5 coins placed flat on a table according to the figure. What is the order of the coins from top to bottom?\n\n<image1>\nSelect only from the following 4 options:\nA. $(C, A, E, D, B)$\nB. $(C, A, D, E, B)$\nD. $(C, E, A, D, B)$\nE. $(C, E, D, A, B)$",
"options": "A. $(C, A, E, D, B)$\nB. $(C, A, D, E, B)$\nD. $(C, E, A, D, B)$\nE. $(C, E, D, A, B)$",
"answer": "E"
},
{
"id": "2505",
"category": "Inductive Reasoning",
"math_category": "statistics",
"image_path": "MathVision/test_002505.png",
"question": "<image1>\n\nThe bar graph shows the grades in a mathematics class for the last grading period. If A, B, C, and D are satisfactory grades, what fraction of the grades shown in the graph are satisfactory?\nSelect only from the following 4 options:\nB. $\\frac{2}{3}$\nC. $\\frac{3}{4}$\nD. $\\frac{4}{5}$\nE. $\\frac{9}{10}$",
"options": "B. $\\frac{2}{3}$\nC. $\\frac{3}{4}$\nD. $\\frac{4}{5}$\nE. $\\frac{9}{10}$",
"answer": "C"
},
{
"id": "2509",
"category": "deductive",
"math_category": "logic",
"image_path": "MathVision/test_002509.png",
"question": "<image1>\n\nFive cards are lying on a table as shown. Each card has a letter on one side and a whole number on the other side. Jane said, \"If a vowel is on one side of any card, then an even number is on the other side.\" Mary showed Jane was wrong by turning over one card. Which card did Mary turn over?\nSelect only from the following 4 options:\nA. $3$\nC. $6$\nD. $\\text{P}$\nE. $\\text{Q}$",
"options": "A. $3$\nC. $6$\nD. $\\text{P}$\nE. $\\text{Q}$",
"answer": "A"
}
]