id stringlengths 5 10 | media images listlengths 1 4 | messages stringlengths 214 3.31k |
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Math_1 | [{"role": "user", "question": "Which of the figures shown bellow cannot be cut out of the figure illustrated nearby?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_10 | [{"role": "user", "question": "Simon has two identical tiles, whose front look like this: The back is white.\n<image>\nWhich pattern can he make with those two tiles?", "answer": "A", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""... | |
Math_100 | [{"role": "user", "question": "Clara forms one big triangle made up of identical little triangles. She has already put some triangles together (see diagram). What is the minimum number of little triangles she has to add?\n<image>", "answer": "9", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield"... | |
Math_101 | [{"role": "user", "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<image>", "answer": "C", "options": {}, "hint": "", "ch... | |
Math_102 | [{"role": "user", "question": "Four equally big squares are partially coloured in black. In which of the four squares is the total area of the black parts biggest?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanatio... | |
Math_103 | [{"role": "user", "question": "The figure shown on the right consists of one square part and eight rectangular parts. Each part is $8 \\mathrm{~cm}$ wide. Peter assembles all parts to form one long, $8 \\mathrm{~cm}$ wide rectangle. How long is this rectangle?\n<image>", "answer": "D", "options": {}, "hint": "", "choic... | |
Math_104 | [{"role": "user", "question": "The board beside is formed by little white and dark squares. After a ninety-degree turn, how can this board appear?\n<image>", "answer": "D", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_105 | [{"role": "user", "question": "When the bat Elisa left its cave at night, the digital clock showed <image>. When she came back in the morning and hung herself upside down, she looked at her watch and saw <image>. How long did she stay out of the cave?", "answer": "D", "options": {}, "hint": "", "choices": [], "question... | |
Math_106 | [{"role": "user", "question": "Which of the following indeformable pieces of wire, when duplicated, allows to make a closed piece without crosses, with the two pieces joined by their ends?\n<image>", "answer": "B", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_dif... | |
Math_107 | [{"role": "user", "question": "Vania has a sheet of paper divided into nine equal squares. She wants to fold the sheet as shown in the picture, initially with horizontal folds and then with vertical folds, until she leaves the colored square on top of the layers. Vania wants to write the numbers from 1 to 9 , one in ea... | |
Math_108 | [{"role": "user", "question": "When the 5 pieces <image> are fitted together correctly, the result is a rectangle with a calculation written on it. What is the answer to this calculation?", "answer": "32", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty":... | |
Math_109 | [{"role": "user", "question": "Mary had a piece of paper. She folded it exactly in half. Then she folded it exactly in half again. She got this shape <image>. Which of the shapes P, Q or R could have been the shape of her original piece of paper?", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type... | |
Math_11 | [{"role": "user", "question": "Peter has drawn this pattern:\n<image>\nHe draws exactly the same pattern once more.\nWhich point is on his drawing?", "answer": "D", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_110 | [{"role": "user", "question": "What is the smallest number of shaded squares that can be added to the diagram to create a design, including the grid, with 4 axes of symmetry?\n<image>", "answer": "21", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "",... | |
Math_111 | [{"role": "user", "question": "There are rectangular cards divided into 4 equal cells with different shapes <image> 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 follow... | |
Math_112 | [{"role": "user", "question": "Six points are placed and numbered as shown on the right. Two triangles are drawn: one by connecting the even numbered points, and one by connecting the odd numbered points. Which of the following shapes is the result?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "q... | |
Math_113 | [{"role": "user", "question": "All vehicles in the garage can only drive forwards or backwards. The black car wants to leave the garage (see diagram). What is the minimum number of grey vehicles that need to move at least a little bit so that this is possible?\n<image>", "answer": "4", "options": {}, "hint": "", "choic... | |
Math_114 | [{"role": "user", "question": "How much does this Ferris wheel need to turn so that a white gondola is on top for\nthe first time?\n<image>", "answer": "D", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_115 | [{"role": "user", "question": "Some art work can be seen on a square-shaped transparent piece of foil. The foil is folded over twice as shown in the diagram. What does the foil look like after it has been folded over twice?\n<image>", "answer": "A", "options": {}, "hint": "", "choices": [], "question_type": "", "subfie... | |
Math_116 | [{"role": "user", "question": "Which of the shapes cannot be split into two triangles using a single straight line?\n<image>", "answer": "A", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_117 | [{"role": "user", "question": "Alice has four jigsaw pieces. <image> Which two can be fitted together to form a hexagon?", "answer": "B", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_118 | [{"role": "user", "question": "A dark disc with three holes is placed on top of a dial of a watch (see diagram). Then the disc is rotated around its centre. Which numbers can be seen at the same time? <image>", "answer": "A", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "",... | |
Math_119 | [{"role": "user", "question": "Jan sticks these three pieces of paper <image> Which picture can he not obtain?", "answer": "C", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_12 | [{"role": "user", "question": "This diagram shows two see-through sheets. You place the sheets on top of each other.Which pattern do you get?\n<image>", "answer": "D", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_120 | [{"role": "user", "question": "The picture of a digital watch can be seen in a mirror:\n<image> Which picture of the watch can be seen in the mirror 30 minutes later?", "answer": "D", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""... | |
Math_121 | [{"role": "user", "question": "Anna has two machines $R$ and $S$. If she places a square piece of paper in machine $R$ it is rotated $90^{\\circ}$ in a clockwise direction. <image> (Hint: Note the marking in the corner!) If she places the piece of paper in machine $S$, it gets printed on. <image2> In which order does A... | |
Math_122 | [{"role": "user", "question": "Carl composed the figure shown on the left side of the drawing from the smaller three-square and four-square figures shown on the right side. The smaller figures can be turned around, but not turned over. What is the smallest number of three-square figures needed for that?\n<image>", "ans... | |
Math_123 | [{"role": "user", "question": "An equilateral triangle $A C D$ is rotated counterclockwise around point $A$. At what angle has it been rotated unen it covers equilateral triangle $A B C$ for the first time?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_typ... | |
Math_124 | [{"role": "user", "question": "The first row shows 11 cards, each with two letters. The second row shows rearangement of the cards. Which of the following could appear on the bottom line of the second row?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type... | |
Math_125 | [{"role": "user", "question": "How many little squares at least do we have to shade in the picture on the right in order that it have an axis of symmetry?\n<image>", "answer": "3", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_126 | [{"role": "user", "question": "In the picture there is a square tile with two fourths of a circle. The radius of every fourth is half the side of the tile and its length equals $5 \\mathrm{dm}$. We form a large square from 16 such tiles and try to get the longest unbroken curve consisting of the fourths. How long can t... | |
Math_127 | [{"role": "user", "question": "How many squares can be drawn by joining the dots with line segments?\n<image>", "answer": "4", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_128 | [{"role": "user", "question": "How many lines of symmetry does this figure have?\n<image>", "answer": "2", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_129 | [{"role": "user", "question": "Martina draws the six cornerpoints of a regular hexagon and then connects some of them to obtain a geometric figure. Which of the following figures cannot be generated?\n<image>", "answer": "C", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "",... | |
Math_13 | [{"role": "user", "question": "Lisa needs exactly 3 pieces to complete her jigsaw.\nWhich of the 4 pieces is left over?\n<image>", "answer": "A", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_130 | [{"role": "user", "question": "The figure on the left consists of two rectangles. Two side lengths are marked: 11 and 13. The figure is cut into three parts along the two lines drawn inside. These can be put together to make the triangle shown on the right. How long is the side marked $\\mathrm{x}$?\n<image>", "answer"... | |
Math_131 | [{"role": "user", "question": "One vertex of the triangle on the left is connected to one vertex of the triangle on the right using a straight line so that no connecting line segment dissects either of the two triangles into two parts. In how many ways is this possible?\n<image>", "answer": "4", "options": {}, "hint": ... | |
Math_132 | [{"role": "user", "question": "A piece of string is folded as shown in the diagram by folding it in the middle, then folding it in the middle again und finally folding it in the middle once more. Then this folded piece of string is cut so that several pieces emerge. Amongst the resulting pieces there are some with leng... | |
Math_133 | [{"role": "user", "question": "Melanie has a square piece of paper with a $4 \\times 4$ grid drawn on it. She cuts along the gridlines and cuts several shapes out which all look either the same as the one pictured, or the same as its mirror image. How many squares are left over if she cuts out as many shapes as possibl... | |
Math_134 | [{"role": "user", "question": "In the $8 \\times 6$ grid pictured, there are 24 squares that have not been cut by either of the two diagonals. Now we draw the two diagonals on a $10 \\times 6$ grid. How many squares in this grid will not be cut by either of the two diagonals?\n<image>", "answer": "32", "options": {}, "... | |
Math_135 | [{"role": "user", "question": "The word KANGAROO is written on the top of my umbrella. Which of the following pictures shows my umbrella?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_136 | [{"role": "user", "question": "A square with area 30 is split into two by its diagonal and then Split into triangles as shown in the diagram. Some of the areas of the triangles are given in the diagram. Which of the line segments $a, b, c, d, e$ of the diagonal is the longest?\n<image>", "answer": "D", "options": {}, "... | |
Math_137 | [{"role": "user", "question": "A card has a diagram printed on one side and the other side is plain white. The card is first flipped over downwards and then to the right (see diagram). Which picture is obtained?\n<image>", "answer": "B", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "im... | |
Math_138 | [{"role": "user", "question": "The black and the dashed line together form seven equilateral triangles. The dashed line is $20 \\mathrm{~cm}$ long. How long is the black line?\n<image>", "answer": "D", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "",... | |
Math_139 | [{"role": "user", "question": "If the letters of the Word MAMA are written underneath each other then the word has a vertical axis of symmetry. For which of these words does that also hold true?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "top... | |
Math_14 | [{"role": "user", "question": "Susi makes this pattern using ice-lolly sticks. Each stick is $5 \\mathrm{~cm}$ long and $1 \\mathrm{~cm}$ wide. How long is Susi's pattern?\n<image>", "answer": "B", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "ex... | |
Math_140 | [{"role": "user", "question": "Lisas aviation club designs a flag with a flying \"dove\" on a $4 \\times 6$-grid. The area of the \"dove\" is $192 \\mathrm{~cm}^{2}$. The perimeter of the \"dove\" is made up of straight lines and circular arcs. What measurements does the flag have?\n<image>", "answer": "D", "options": ... | |
Math_141 | [{"role": "user", "question": "A $4 \\times 4$ square is made up of the two pieces shown. Which of the following $4 \\times 4$ squares cannot be made this way?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ... | |
Math_142 | [{"role": "user", "question": "Zilda took a square sheet of paper of side 1 and made two folds taking two consecutive sides of the sheet to a diagonal of it, as shown in the picture, obtaining a quadrilateral (highlighted outline). What is the area of this quadrilateral?\n<image>", "answer": "B", "options": {}, "hint":... | |
Math_143 | [{"role": "user", "question": "Which of the following symbols for signs of the Zodiac has an axis of symmetry?\n<image>", "answer": "A", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_144 | [{"role": "user", "question": "When the 5 pieces <image> are fitted together correctly, the result is a rectangle with a calculation written on it. What is the answer to this calculation?", "answer": "-100", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty... | |
Math_145 | [{"role": "user", "question": "The area of the large square is $16 \\mathrm{~cm}^{2}$ and the area of each small square is $1 \\mathrm{~cm}^{2}$. What is the total area of the central flower in $\\mathrm{cm}^{2}$?\n<image>", "answer": "4", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "... | |
Math_146 | [{"role": "user", "question": "Gardener Toni plants tulips <image> and sunflowers <image2> in a square flowerbed with side length $12 \\mathrm{~m}$, as shown in the diagram. How big is the entire area where sunflowers are planted?", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield... | |
Math_147 | [{"role": "user", "question": "The diagram shows a grid made of vertical and horizontal lines. Which part was cut from the grid? <image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_148 | [{"role": "user", "question": "A dark disc with two holes is placed on top of a dial of a watch as shown. The dark disc is now rotated so that the number 8 can be seen through one of the holes. Which of the numbers could one see through the other hole now? <image>", "answer": "A", "options": {}, "hint": "", "choices": ... | |
Math_149 | [{"role": "user", "question": "Kristina has a piece of see-through foil on which some points and lines are drawn. She folds the foil along the dotted line. <image> What can she see now?", "answer": "C", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": ""... | |
Math_15 | [{"role": "user", "question": "Jörg is sorting his socks. Two socks with the same number are one pair.\n<image>\nHow many pairs can he find?", "answer": "5", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_150 | [{"role": "user", "question": "A $4\\times 6$ grid should be cut along the black lines into several identical shapes. No piece is to be left over. Into which of the following shapes is it not possible to cut this grid in this way? <image> <image2>", "answer": "D", "options": {}, "hint": "", "choices": [], "question_typ... | |
Math_151 | [{"role": "user", "question": "In the picture, three strips of the same horizontal width $a$ are marked 1,2,3. These strips connect the two parallel lines. Which strip has the biggest area?\n<image>", "answer": "A", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_di... | |
Math_152 | [{"role": "user", "question": "A rectangular sheet of paper with measures $6 \\times 12$ is folded along its diagonal. The shaded parts sticking out over the edge of the overlapping area are cut off and the sheet is unfolded. Now it has the shape of a rhombus. Find the length of the side of the rhombus.\n<image>", "ans... | |
Math_153 | [{"role": "user", "question": "A square with sides of length 10 is rolled without slipping along a line. The rolling stops when $P$ first returns to the line. What is the length of the curve that $P$ has travelled?\n<image>", "answer": "C", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", ... | |
Math_154 | [{"role": "user", "question": "A coin with diameter $1 \\mathrm{~cm}$ rolls around the contour outside of a regular hexagon with sides $1 \\mathrm{~cm}$ long, as shown. How long is the path traced by the centre of the coin (in $\\mathrm{cm}$ )?\n<image>", "answer": "B", "options": {}, "hint": "", "choices": [], "questi... | |
Math_155 | [{"role": "user", "question": "Six points are marked on a square grid as pictured. Which geometric figure cannot be drawn if only the marked points are allowed to be used as cornerpoints of the figure?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "... | |
Math_156 | [{"role": "user", "question": "The two bold lines on the right are rotations of each other. Which of the given points could be the centre of this rotation?\n<image>", "answer": "C", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_157 | [{"role": "user", "question": "Three big boxes $P, Q$ and $R$ are stored in a warehouse. The upper picture on the right shows their placements from above. The boxes are so heavy that they can only be rotated $90^{\\circ}$ around a vertical edge as indicated in the pictures below. Now the boxes should be rotated to stan... | |
Math_158 | [{"role": "user", "question": "Which of the shapes to the right has the largest area?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_159 | [{"role": "user", "question": "A rectangle $A B C D$ with dimensions $16 \\mathrm{~cm}$ by $4 \\mathrm{~cm}$ was folded along the line MN so that corner C meets corner A. What is the area of the Pentagon ABNMD'?\n<image>", "answer": "D", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "im... | |
Math_16 | [{"role": "user", "question": "The floor of a room is covered with equally big rectangular tiles (see picture). How long is the room? <image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_160 | [{"role": "user", "question": "In a drawing we can see a three quarter circle with centre M and an indicated orientation arrow. This three-quarter circle is first turned $90^{\\circ}$ anti-clockwise about M and then reflected in the x - axis. Which is the resulting picture?\n<image>", "answer": "D", "options": {}, "hin... | |
Math_161 | [{"role": "user", "question": "$a, b$ and $c$ show the lengths of the different of pieces of wire pictured. Which of the following inequalities is correct?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_162 | [{"role": "user", "question": "Mr. Hide wants to find a treasure that he buried years before. He can only remember that he buried the treasure at least $5 \\mathrm{~m}$ away from the hedge and no more than $5 \\mathrm{~m}$ away from the old pear tree. Which picture shows best the area where Mr. Hide has to look for the... | |
Math_163 | [{"role": "user", "question": "Peter writes the word KANGAROO on a see-through piece of glass, as seen on the right. What can he see when he first flips over the glass onto its back along the right-hand side edge and then turns it about $180^{\\circ}$ while it is lying on the table?\n<image>", "answer": "E", "options":... | |
Math_164 | [{"role": "user", "question": "A wheel rolls along a zigzag curve as can be seen below. Which of the following pictures shows the curve that is described by the centre of the wheel?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty... | |
Math_165 | [{"role": "user", "question": "A circle with radius 1 rolls along a straight line from point $K$ to point $L$, as shown, with $K L=11 \\pi$. In which position is the circle when it has arrived in $L$?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": ""... | |
Math_166 | [{"role": "user", "question": "In the three regular hexagons shown, $X, Y$ and $Z$ describe in this order the areas of the grey shaded parts. Which of the following statements is true?\n<image>", "answer": "A", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficu... | |
Math_167 | [{"role": "user", "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<image>", "answer": "B", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_diff... | |
Math_168 | [{"role": "user", "question": "When Cosme correctly wears his new shirt, as shown on the left figure, the horizontal stripes form seven closed arches around his body. This morning he buttoned his shirt in the wrong way, as shown on the right. How many open arches were there around Cosme's body this morning?\n<image>", ... | |
Math_169 | [{"role": "user", "question": "There are several figures that can be formed by nine squares of $1 \\mathrm{~cm}$ side by side (see an example beside) and one of them has the biggest perimeter. What is this perimeter?\n<image>", "answer": "E", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": ""... | |
Math_17 | [{"role": "user", "question": "Which of the figures can be cut into these 3 pieces?\n<image>", "answer": "C", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explanation": ""}] | |
Math_170 | [{"role": "user", "question": "A park is shaped like an equilateral triangle. A cat wants to walk along one of the three indicated paths (thicker lines) from the upper corner to the lower right corner. The lengths of the paths are $P, Q$ and $R$, as shown. Which of the following statements about the lengths of the path... | |
Math_171 | [{"role": "user", "question": "Ally drew 3 triangles on a grid. Exactly 2 of them have the same area, exactly 2 of them are isosceles, and exactly 2 are right-angled triangles. 2 of the triangles are shown. Which could be the third one?\n<image>", "answer": "D", "options": {}, "hint": "", "choices": [], "question_type"... | |
Math_172 | [{"role": "user", "question": "Various symbols are drawn on a piece of paper (see picture). The teacher folds the left side along the vertical line to the right. How many symbols of the left side are now congruent on top of a symbol on the right side?\n<image>", "answer": "3", "options": {}, "hint": "", "choices": [], ... | |
Math_173 | [{"role": "user", "question": "A dark disc with two holes is placed on the dial of a watch as shown in the diagram. The dark disc is now rotated so that the number 10 can be seen through one of the two holes. Which of the numbers could one see through the other hole now? <image>", "answer": "A", "options": {}, "hint": ... | |
Math_174 | [{"role": "user", "question": "This piece of paper was folded in half twice, and then had two equilateral triangles cut out of it. Which diagram shows how the paper will look when it is unfolded again? <image>", "answer": "C", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": ""... | |
Math_175 | [{"role": "user", "question": "A transparent square sheet of film lies on a table. The letter $\\mathbf{Y}$ is drawn (like this) on the sheet. We turn the sheet clockwise through $90^{\\circ}$, then turn it over what is now the left edge of the sheet, and then turn it through $180^{\\circ}$. Which figure can we now see... | |
Math_176 | [{"role": "user", "question": "Consecutive numbers have been entered diagonally criss-crossing the square on the right. Which of the following numbers could $x$ not be? <image>", "answer": "A", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explan... | |
Math_177 | [{"role": "user", "question": "The diagram shows a length of string wound over and under $n$ equal circles. The sum of the diameters of the circles is $d \\mathrm{~cm}$. What is the length of the string in $\\mathrm{cm}$ ?\n<image>", "answer": "A", "options": {}, "hint": "", "choices": [], "question_type": "", "subfiel... | |
Math_178 | [{"role": "user", "question": "<image>\nIn the diagram above there are 11 cards, each printed with two letters. The diagram below shows a rearangement of the cards, but only the top letters are shown.\nWhich one of the following sequences of letters could appear on the bottom row of the second diagram?", "answer": "E",... | |
Math_179 | [{"role": "user", "question": "What is the least possible number of small squares that we should shade in the diagram on the right for the whole diagram to have a line of symmetry? <image>", "answer": "3", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty":... | |
Math_18 | [{"role": "user", "question": "Ana has the cards shown on the left. She chooses several of them to assemble the tower shown on the right. Which cards did she not use?\n<image>", "answer": "C", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", "explana... | |
Math_180 | [{"role": "user", "question": "Marta wants to use 16 square tiles like the one shown to form a $4 \\times 4$ square design. The tiles may be turned. Each arc bisects the sides it meets and has length $p \\mathrm{~cm}$. She is trying to make the arcs connect to make a long path. What is the length, in centimetres, of th... | |
Math_181 | [{"role": "user", "question": "How many different squares can be drawn in total by joining the dots with line segments in the part of the square lattice as shown on the right? <image>", "answer": "4", "options": {}, "hint": "", "choices": [], "question_type": "", "subfield": "", "img_type": "", "topic_difficulty": "", ... | |
Math_182 | [{"role": "user", "question": "The diagram (which is not drawn to scale) shows a box measuring $5 \\mathrm{~cm}$ by $5 \\mathrm{~cm}$. There are seven bars in the box, each measuring $1 \\mathrm{~cm}$ by $3 \\mathrm{~cm}$. Kanga wants to slide the bars in the box so there is room for one more bar. What is the minimum n... | |
Math_183 | [{"role": "user", "question": "The diagram shows three squares. The medium square is formed by joining the midpoints of the sides of the large square. The small square is formed by joining the midpoints of the sides of the medium square. The area of the small square is $6 \\mathrm{~cm}^{2}$. What is the difference betw... | |
Math_184 | [{"role": "user", "question": "Lina has placed two shapes on a $5 \\times 5$ board, as shown in the picture on the right. Which of the following five shapes should she place on the empty part of the board so that none of the remaining four shapes will fit in the empty space that is left? (The shapes may be rotated or t... | |
Math_185 | [{"role": "user", "question": "The diagram on the right shows a square with side $3 \\mathrm{~cm}$ inside a square with side $7 \\mathrm{~cm}$ and another square with side $5 \\mathrm{~cm}$ which intersects the first two squares. What is the difference between the area of the black region and the total area of the grey... | |
Math_186 | [{"role": "user", "question": "The first diagram on the right shows a shape constructed from two rectangles. The lengths of two sides are marked: 11 and 13. The shape is cut into three parts and the parts are rearranged, as shown in the second diagram on the right. What is the length marked $x$ ?\n<image>", "answer": "... | |
Math_187 | [{"role": "user", "question": "Olivia and a friend are playing a game of 'battleships' on a $5 \\times 5$ board. Olivia has already placed two ships as shown. She still has to place a $3 \\times 1$ ship so that it covers exactly three cells. No two ships can have a boundary point in common. How many positions are there... | |
Math_188 | [{"role": "user", "question": "Rachel has several square pieces of paper of area $4 \\mathrm{~cm}^{2}$. She cuts each of them into smaller squares and right-angled triangles in the manner shown in the first diagram. She takes some of the pieces and makes the shape shown in the second diagram.\nWhat is the area in $\\ma... | |
Math_189 | [{"role": "user", "question": "A $5 \\times 5$ square is made from $1 \\times 1$ tiles, all with the same pattern, as shown. Any two adjacent tiles have the same colour along the shared edge. The perimeter of the $5 \\times 5$ square consists of black and white segments of length 1 . What is the smallest possible numbe... |
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