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Math_28 | [{"role": "user", "question": "Max wants to complete the jigsaw shown. He has different pieces.\n<image>\nWhich pieces does he have to use?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | A | mcq | Multiple Choice | Math | 2D Transformation | MathVision | null | ||
Math_280 | [{"role": "user", "question": "A die is in the position shown in the picture. It can be rolled along the path of 12 squares as shown. How many times must the die go around the path in order for it to return to its initial position with all faces in the initial positions?\n<image>", "hint": "", "options": {}, "choices":... | 3 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_281 | [{"role": "user", "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 res... | C | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_282 | [{"role": "user", "question": "A rectangular piece of paper $A B C D$ with the measurements $4 \\mathrm{~cm} \\times 16 \\mathrm{~cm}$ is folded along the line $\\mathrm{MN}$ so that point $C$ coincides with point $A$ as shown. How big is the area of the quadrilateral ANMD'?\n<image>", "hint": "", "options": {"A": "$28... | C | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_283 | [{"role": "user", "question": "Let $a>b$. If the ellipse shown rotates about the $x$-axis an ellipsoid $E_{x}$ with volume $\\operatorname{Vol}\\left(E_{x}\\right)$ is obtained. If it rotates about the $y$-axis an ellipsoid $E_{y}$ with volume $\\operatorname{Vol}\\left(E_{y}\\right)$ is obtained. Which of the followin... | C | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_284 | [{"role": "user", "question": "If one removes some $1 \\times 1 \\times 1$ cubes from a $5 \\times 5 \\times 5$ cube, you obtain the solid shown. It consists of several equally high pillars that are built upon a common base. How many little cubes have been removed?\n<image>", "hint": "", "options": {}, "choices": [], "... | 64 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_285 | [{"role": "user", "question": "The curved surfaces of two identical cylinders are cut open along the vertical dotted line, as shown and then stuck together to create the curved surface of one big cylinder. What can be said about the volume of the resulting cylinder compared to the volume of one of the small cylinders?\... | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_286 | [{"role": "user", "question": "The vertices of a die are numbered 1 to 8, so that the sum of the four numbers on the vertices of each face are the same. The numbers 1, 4 and 6 are already indicated in the picture. Which number is in position $x$?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 2 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_287 | [{"role": "user", "question": "In the diagram a closed polygon can be seen whose vertices are the midpoints of the edges of the die. The interior angles are as usual defined as the angle that two sides of the polygon describe in a common vertex. How big is the sum of all interior angles of the polygon?\n<image>", "hint... | B | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_288 | [{"role": "user", "question": "On a standard die the sum of the numbers on opposite faces is always 7. Two identical standard dice are shown in the figure. How many dots could there be on the non-visible right-hand face (marked with \"?\")?\n<image>", "hint": "", "options": {"A": "only 5", "B": "only 2", "C": "either 2... | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_289 | [{"role": "user", "question": "A rectangular piece of paper $A B C D$ is $5 \\mathrm{~cm}$ wide and $50 \\mathrm{~cm}$ long. The paper is white on one side and grey on the other. Christina folds the strip as shown so that the vertex $B$ coincides with $M$ the midpoint of the edge $C D$. Then she folds it so that the ve... | B | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_29 | [{"role": "user", "question": "A square piece of paper has been cut in three pieces. Two of them are in the picture on the right. What is the third one?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | A | mcq | Multiple Choice | Math | 2D Transformation | MathVision | null | ||
Math_290 | [{"role": "user", "question": "A $4 \\times 1 \\times 1$ cuboid is made up of 2 white and 2 grey cubes as shown. Which of the following cuboids can be build entirely out of such $4 \\times 1 \\times 1$ cuboids?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context... | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_291 | [{"role": "user", "question": "The diagram shows an object made up of 12 dice glued-together. The object is dipped into some colour so that the entire outside is coloured in this new colour. How many of the small dice will have exactly four faces coloured in?\n<image>", "hint": "", "options": {}, "choices": [], "contex... | 10 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_292 | [{"role": "user", "question": "The faces of the brick have the areas A, B and C as shown. How big is the volume of the brick?\n<image>", "hint": "", "options": {"A": "$A B C$", "B": "$\\sqrt{A B C}$", "C": "$\\sqrt{A B+B C+C A}$", "D": "$\\sqrt[3]{A B C}$", "E": "$2(A+B+C)$"}, "choices": [], "context": ""}] | B | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_293 | [{"role": "user", "question": "Two dice with volumes $V$ and $W$ intersect each other as shown. $90 \\%$ of the volume of the die with volume $V$ does not belong to both dice. $85 \\%$ of the volume of the die with volume $W$ does not belong to both dice. What is the relationship between the volumes of the two dice?\n<... | B | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_294 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [],... | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_295 | [{"role": "user", "question": "An octahedron is inscribed into a die with side length 1. The vertices of the octahedron are the midpoints of the faces of the die. How big is the volume of the octahedron?\n<image>", "hint": "", "options": {"A": "$\\frac{1}{3}$", "B": "$\\frac{1}{4}$", "C": "$\\frac{1}{5}$", "D": "$\\fra... | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_296 | [{"role": "user", "question": "The faces of the prism shown, are made up of two triangles and three squares. The six vertices are labelled using the numbers 1 to 6. The sum of the four numbers around each square is always the same. The numbers 1 and 5 are given in the diagram. Which number is written at vertex $X$?\n<i... | 2 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_297 | [{"role": "user", "question": "A cuboid-shaped container that is not filled completely contains $120 \\mathrm{~m}^{3}$ of water. The depth of the water is either $2 \\mathrm{~m}$ or $3 \\mathrm{~m}$ or $5 \\mathrm{~m}$, depending on which side the container is actually standing on (drawings not to scale). How big is th... | E | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_298 | [{"role": "user", "question": "The system shown consists of three pulleys that are connected to each other via two ropes. $P$, the end of one rope, is pulled down by $24 \\mathrm{~cm}$. By how many centimeters does point $Q$ move upwards?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 6 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_299 | [{"role": "user", "question": "An ant walked $6 \\mathrm{~m}$ every day to go from point $A$ to point $B$ in a straight line. One day Johnny put a straight cylinder of one meter high in that way. Now the ant walks on the same straight line or above it, having to go up and down the cylinder, as shown in the picture. How... | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_3 | [{"role": "user", "question": "Which part of the house is missing?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | E | mcq | Multiple Choice | Math | 2D Transformation | MathVision | null | ||
Math_30 | [{"role": "user", "question": "A strip of paper is folded three times as shown. Determine $\\beta$ if $\\alpha=70^{\\circ}$.\n<image>", "hint": "", "options": {"A": "$140^{\\circ}$", "B": "$130^{\\circ}$", "C": "$120^{\\circ}$", "D": "$110^{\\circ}$", "E": "$100^{\\circ}$"}, "choices": [], "context": ""}] | C | mcq | Multiple Choice | Math | 2D Transformation | MathVision | null | ||
Math_300 | [{"role": "user", "question": "Zilda will use six equal cubes and two different rectangular blocks to form the structure beside with eight faces. Before gluing the pieces, she will paint each one entirely and calculated that she will need 18 liters of paint (the color does not matter). How many liters of paint would sh... | 11.5 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_301 | [{"role": "user", "question": "A piece of string is lying on the table. It is partially covered by three coins as seen in the figure. Under each coin the string is equally likely to pass over itself like this: <image>\nor like this: <image2>. What is the probability that the string is knotted after its ends are pulled?... | B | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_302 | [{"role": "user", "question": "The solid shown in the diagram has 12 regular pentagonal faces, the other faces being either equilateral triangles or squares. Each pentagonal face is surrounded by 5 square faces and each triangular face is surrounded by 3 square faces. John writes 1 on each triangular face, 5 on each pe... | 50 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_303 | [{"role": "user", "question": "A cuboid with surface area $X$ is cut up along six planes parallel to the sides (see diagram). What is the total surface area of all 27 thus created solids?\n<image>", "hint": "", "options": {"A": "$X$", "B": "$2 X$", "C": "$3 X$", "D": "$4 X$", "E": "It depends on the position of the pla... | C | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_304 | [{"role": "user", "question": "Which two building blocks can be joined together so that the object shown is created?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_305 | [{"role": "user", "question": "A cylindrical tin is $15 \\mathrm{~cm}$ high. The circumference of the base circle is $30 \\mathrm{~cm}$. An ant walks from point $A$ at the base to point $B$ at the top. Its path is partly vertically upwards and partly along horizontal circular arcs. Its path is drawn in bold on the diag... | E | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_306 | [{"role": "user", "question": "Leon has drawn a closed path on the surface of a cuboid. Which net can represent his path?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_307 | [{"role": "user", "question": "A game marker in the shape of a regular tetrahedron has one marked area. That side is placed on the triangle marked START. The marker is then moved within the diagram always to the next adjacent triangle by rolling it around an edge. On which triangle is the marker when it is on the marke... | E | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_308 | [{"role": "user", "question": "Two identical cylindrical glasses contain the same amount of water. The left glass is upright, while the right one rests against the other one at a slant. The water level in both glasses is at the same height. The water level in the leaning glass touches its bottom in exactly one point (s... | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_309 | [{"role": "user", "question": "Chris constructed the brick on the picture using red and blue cubes of the same size. The outside of the brick is completely red, but all cubes used inside are blue. How many blue cubes did Chris use?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 12 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_31 | [{"role": "user", "question": "An equilateral triangle is being rolled around a unit square as shown. How long is the path that the point shown covers, if the point and the triangle are both back at the start for the first time?\n<image>", "hint": "", "options": {"A": "$4 \\pi$", "B": "$\\frac{28}{3} \\pi$", "C": "$8 \... | B | mcq | Multiple Choice | Math | 2D Transformation | MathVision | null | ||
Math_310 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_311 | [{"role": "user", "question": "How many cubes have been taken from the block?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 7 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_312 | [{"role": "user", "question": "The structure shown in the picture is glued together from 10 cubes. Roman painted the entire structure, including the bottom. How many faces of the cubes are painted?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 36 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_313 | [{"role": "user", "question": "Daniela has got cubes with their edges $1 \\mathrm{dm}$ long. She has put some of them into the aquarium of the shape of a cube with the edges $3 \\mathrm{dm}$ long as you see in the picture. How much more cubes can she put into the aquarium?\n<image>", "hint": "", "options": {}, "choices... | 17 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_314 | [{"role": "user", "question": "Anna made the figure on the right out of five cubes. Which of the following figures (when seen from any direction) cannot she get from the figure on the right side if she is allowed to move exactly one cube?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "... | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_315 | [{"role": "user", "question": "One of the cube faces is cut along its diagonals (see the fig.). Which two of the following nets are impossible?\n<image>", "hint": "", "options": {"A": "1 and 3", "B": "1 and 5", "C": "3 and 4", "D": "3 and 5", "E": "2 and 4"}, "choices": [], "context": ""}] | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_316 | [{"role": "user", "question": "Thomas has made a table out of small cubes. How many small cubes did he use?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 32 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_317 | [{"role": "user", "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. What is the total of the numbers on the lines that were cut?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}... | 20 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_318 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A)", "B": "B)", "C": "C)", "D": "D)", "E": "E)"}, "choices": [], "context... | C | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_319 | [{"role": "user", "question": "The picture shows a Fortress made from cubes. How many cubes were used to make it?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 56 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_32 | [{"role": "user", "question": "A square bit of paper is folded along the dashed lines in some order and direction. One of the corners of the resulting small square is cut off. The piece of paper is then unfolded. How many holes are on the inner area of the piece of paper?\n<image>", "hint": "", "options": {}, "choices"... | 1 | numeric | Open-ended | Math | 2D Transformation | MathVision | null | ||
Math_320 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "(A)", "B": "(B)", "C": "(C)", "D": "(D)", "E": "(E)"}, "choices": [], "context": ""}] | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_321 | [{"role": "user", "question": "Nathalie wanted to build a large cube out of lots of small cubes, just like in picture 1. How many cubes are missing from picture 2 that would be needed to build the large cube?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 7 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_322 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | E | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_323 | [{"role": "user", "question": "Max builds this construction using some small equally big cubes. If he looks at his construction from above, the plan on the right tells the number of cubes in every tower. How big is the sum of the numbers covered by the two hearts?\n<image>", "hint": "", "options": {}, "choices": [], "c... | 5 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_324 | [{"role": "user", "question": "Tobias glues 10 cubes together so that the following object is formed: He paints all of it, even the bottom. How many cubes then have exactly 4 faces coloured in?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 8 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_325 | [{"role": "user", "question": "There are two holes in the cover of a book. The book lies on the table opened up (see diagram).\n<image>\nAfter closing up the book which vehicles can Olaf see?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_326 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | C | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_327 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | B | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_328 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_329 | [{"role": "user", "question": "The sum of the points on the opposite sides of a common dice is 7 . This dice is placed in the first square as shown in the figure, and then rolled as shown in the figure, to the fifth square. When the dice reach the last square, what is the product of the numbers of points shown on the t... | 18 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_33 | [{"role": "user", "question": "A regular pentagon is cut out of a page of lined paper. Step by step this pentagon is then rotated $21^{\\circ}$ counter clockwise about its midpoint. The result after step one is shown in the diagram. Which of the diagrams shows the situation when the pentagon fills the hole entirely aga... | B | mcq | Multiple Choice | Math | 2D Transformation | MathVision | null | ||
Math_330 | [{"role": "user", "question": "A measuring tape is wrapped around a cylinder. Which number should be at the place shown by the question mark?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 48 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_331 | [{"role": "user", "question": "On a tall building there are 4 fire escape ladders, as shown. The heights of 3 ladders are at their tops. What is the height of the shortest ladder?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 20 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_332 | [{"role": "user", "question": "Johanna folds a piece of paper with the numbers 1 to 36 in half twice (see diagrams).\n<image>\nThen she stabs a hole through all four layers at the same time (see diagram on the right). Which four numbers does she pierce in doing so?", "hint": "", "options": {"A": "$8,11,26,29$", "B": "$... | C | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_333 | [{"role": "user", "question": "A pyramid is built from cubes (see diagram)\nAll cubes have side length $10 \\mathrm{~cm}$.\nAn ant crawls along the line drawn across the pyramid (see diagram).\nHow long is the path taken by the ant?\n<image>", "hint": "", "options": {"A": "$30 \\mathrm{~cm}$", "B": "$60 \\mathrm{~cm}$"... | E | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_334 | [{"role": "user", "question": "The big cube is made up of three different kinds of building blocks (see diagram). How many of the little white cubes are needed for this big cube?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 11 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_335 | [{"role": "user", "question": "The diagram shows a cube with sides of length $12 \\mathrm{~cm}$. An ant moves on the cube surface from point $M$ to point $N$ following the route shown. Find the length of ant's path.\n<image>", "hint": "", "options": {"A": "40 cm", "B": "48 cm", "C": "50 cm", "D": "60 cm", "E": "It is i... | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_336 | [{"role": "user", "question": "We need $9 \\mathrm{~kg}$ of ink (in kilograms) to paint the whole cube. How much ink do you need to paint the white surface?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 2 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_337 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "Six corner star", "B": "Dodecagon", "C": "Hexagon", "D": ... | E | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_338 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "E", "E": "Impossible to determ... | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_339 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_34 | [{"role": "user", "question": "Two rectangles form the angles $40^{\\circ}$ and $30^{\\circ}$ respectively, with a straight line (see diagram). How big is angle $\\alpha$?\n<image>", "hint": "", "options": {"A": "$105^{\\circ}$", "B": "$120^{\\circ}$", "C": "$130^{\\circ}$", "D": "$135^{\\circ}$", "E": "another value"}... | E | mcq | Multiple Choice | Math | 2D Transformation | MathVision | null | ||
Math_340 | [{"role": "user", "question": "A rectangular section was cut out of a rectangular block as shown in the diagram. Find the decrease percentage of the surface area.\n<image>", "hint": "", "options": {"A": "Less than $12.5 \\%$", "B": "$12.5 \\%$", "C": "More than $12.5 \\%$, but less than $25 \\%$", "D": "$25 \\%$", "E":... | B | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_341 | [{"role": "user", "question": "The die is a cube, the faces of which are numbered by $1,2, \\ldots, 6$, the sum of the numbers in any two opposite faces being 7. Using 4 such identical dice, Nick composed a parallelepiped $2 \\times 2 \\times 1$ as shown in the figure, the numbers on any two touching faces of the dice ... | 5 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_342 | [{"role": "user", "question": "In a shop selling toys a four-storey black and white \"brickflower\" is displayed (see picture on the left). Each storey is made of bricks of the same colour. In the picture on the right, the flower is shown from the top. How many white bricks were used to make the flower?\n<image>", "hin... | 14 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_343 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | C | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_344 | [{"role": "user", "question": "Which of the following is made using more than one piece of string?\n<image>", "hint": "", "options": {"A": "I, III, IV and V", "B": "III, IV and V", "C": "I, III and V", "D": "all", "E": "None of these answers"}, "choices": [], "context": ""}] | C | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_345 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "$1,3,5,7$", "B": "$2,4,6,8$", "C": "$2,3,5,6$", "... | B | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_346 | [{"role": "user", "question": "Nina made a wall around a square area, using 36 identical cubes. A section of the wall is shown in the picture. How many cubes will she now need to completely fill the square area.\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 64 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_347 | [{"role": "user", "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<image>", "hint": "", "options": {... | B | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_348 | [{"role": "user", "question": "A regular octagon is folded three times down the middle as shown, until a triangle is formed. Then the rightmost corner is cut away. Which of the following shapes is formed when the paper is unfolded?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "c... | C | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_349 | [{"role": "user", "question": "Nathalie wanted to build a large cube out of lots of small cubes. How many cubes are missing from the picture on the right that would be needed to build the large cube on the left?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 7 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_35 | [{"role": "user", "question": "A rectangle is coloured in five different ways as shown. In which picture is the grey area biggest?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | E | mcq | Multiple Choice | Math | 2D Transformation | MathVision | null | ||
Math_350 | [{"role": "user", "question": "A $1 \\times 1 \\times 1$ cube is cut out of each corner of a $3 \\times 3 \\times 3$ cube. The picture shows the result after the first cube is cut out. How many faces will the final shape have?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 30 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_351 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choic... | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_352 | [{"role": "user", "question": "The $3 \\times 3 \\times 3$ cube consists of 27 small cubes.\n<image>\nSome of the small cubes are removed. If you now look at the cube from the right, from above and from the front, you see the following: <image2> How many little cubes were removed?", "hint": "", "options": {}, "choices"... | 7 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_353 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "only 4", "B": "o... | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_354 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | B | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_355 | [{"role": "user", "question": "A big cube is made up of 9 identical building blocks. Each building block looks like this: <image> Which big cube is possible?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_356 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | E | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_357 | [{"role": "user", "question": "The sum of the dots on opposite sides of an ordinary die is 7. Which of the following dice could be an ordinary die?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | E | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_358 | [{"role": "user", "question": "Pia has a folding yardstick consisting of 10 equally long pieces. Which of the following figures can she not make?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_359 | [{"role": "user", "question": "Maxi builds towers made up of little $1 \\mathrm{~cm} \\times 1 \\mathrm{~cm} \\times 2 \\mathrm{~cm}$ building blocks as can be seen in the picture.\n<image>\nHe continues to build his towers in the same way. Finally he uses 28 building blocks for one tower. What is the height of this to... | C | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_36 | [{"role": "user", "question": "Vilma took a sheet of paper measuring $10 \\mathrm{~cm} \\times 20 \\mathrm{~cm}$ and made two folds, taking the two smaller sides of the sheet to a diagonal of it. She gets a parallelogram, as shown in the picture. What is the area of this quadrilateral, in $\\mathrm{cm}^{2}$?\n<image>",... | D | mcq | Multiple Choice | Math | 2D Transformation | MathVision | null | ||
Math_360 | [{"role": "user", "question": "Bridget folds a square piece of paper twice and subsequently cuts it along the two lines as shown in the picture.\n<image>\nHow many pieces of paper does she obtain this way?", "hint": "", "options": {}, "choices": [], "context": ""}] | 9 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_361 | [{"role": "user", "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<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_362 | [{"role": "user", "question": "The cardboard is folded up into a $2 \\times 1 \\times 1$ box. Which of the pictures does not show the box?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | B | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_363 | [{"role": "user", "question": "Maria has exactly 9 white cubes, 9 light gray cubes and 9 dark gray cubes, all the same size. She glues all these cubes together to form a larger cube. Which of the cubes below is the one she made?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choi... | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_364 | [{"role": "user", "question": "Amelia glues these six stickers on the faces of a cube: <image>. The figure shows this cube in two different positions. Which adhesive is on the opposite side of the duck?", "hint": "", "options": {"A": "(A)", "B": "(B)", "C": "(C)", "D": "(D)", "E": "(E)"}, "choices": [], "context": ""}] | E | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_365 | [{"role": "user", "question": "Maria puts 4 liters of water in vase I, 3 liters of water in vase II and 4 liters of water in vase III, represented on the side. Seen from the front, these three vases seem to have the same size. Which of the following images can represent the three vases, when seen from above?\n<image>",... | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_366 | [{"role": "user", "question": "John made a construction with wooden cubes of the same size, with the three views shown beside, using as many cubes as possible. Ana, John's sister, wants to remove all the cubes she can, without modifying these three views. At most, how many cubes can she remove?\nfront:\n<image>\nright ... | 12 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_367 | [{"role": "user", "question": "Which of the following solid shapes can be made with these 6 bricks?\n<image>", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": [], "context": ""}] | D | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null | ||
Math_368 | [{"role": "user", "question": "A measuring tape is wound around a cylinder. What number should be at the place shown by the question mark?\n<image>", "hint": "", "options": {}, "choices": [], "context": ""}] | 69 | numeric | Open-ended | Math | 3D Spatial Simulation | MathVision | null | ||
Math_369 | [{"role": "user", "question": "A triangular pyramid is built with 10 identical balls, like this <image>. 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?", "hint":... | A | mcq | Multiple Choice | Math | 3D Spatial Simulation | MathVision | null |
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