hunarbatra/EMMA_MATH · Datasets at Hugging Face

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Math_1	Which of the figures shown bellow cannot be cut out of the figure illustrated nearby? <image_1>	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	Which of the figures shown bellow cannot be cut out of the figure illustrated nearby? < Options: A B C D E
Math_2	A square is cut into four pieces. Which shape can you not make with these four pieces? <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	A square is cut into four pieces. Which shape can you not make with these four pieces? < Options: A B C D E
Math_3	Which part of the house is missing? <image_1>	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	Which part of the house is missing? < Options: A B C D E
Math_4	Florian has 10 equally long metal strips with equally many holes. <image_1> He bolts the metal strips together in pairs. Now he has five long strips (see the diagram). Which of the long strips is the shortest?	[ "A", "B", "C", "D", "E" ]	B	2D Transformation	MathVision	Florian has 10 equally long metal strips with equally many holes. <image_1> He bolts the metal strips together in pairs. Now he has five long strips (see the diagram). Which of the long strips is the shortest? Options: A B C D E
Math_5	Which of the kangaroo cards shown below can be turned around so that it then looks the same as the card shown on the right? <image_1>	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	Which of the kangaroo cards shown below can be turned around so that it then looks the same as the card shown on the right? < Options: A B C D E
Math_6	Which piece is missing? <image_1>	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	Which piece is missing? < Options: A B C D E
Math_7	Konrad has some pieces of cardboard which all look like this: <image_1> Which of the shapes below can he not make out of these pieces?	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	Konrad has some pieces of cardboard which all look like this: <image_1> Which of the shapes below can he not make out of these pieces? Options: A B C D E
Math_8	Ellen wants to decorate the butterfly Which butterfly can she make? <image_1> using these 6 stickers	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	Ellen wants to decorate the butterfly Which butterfly can she make? <image_1> using these 6 stickers Options: A B C D E
Math_9	How many blocks are missing in this igloo? <image_1>	[]	10	2D Transformation	MathVision	How many blocks are missing in this igloo? <
Math_10	Simon has two identical tiles, whose front look like this: The back is white. <image_1> Which pattern can he make with those two tiles?	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	Simon has two identical tiles, whose front look like this: The back is white. <image_1> Which pattern can he make with those two tiles? Options: A B C D E
Math_11	Peter has drawn this pattern: <image_1> He draws exactly the same pattern once more. Which point is on his drawing?	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	Peter has drawn this pattern: <image_1> He draws exactly the same pattern once more. Which point is on his drawing? Options: A B C D E
Math_12	This diagram shows two see-through sheets. You place the sheets on top of each other.Which pattern do you get? <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	This diagram shows two see-through sheets. You place the sheets on top of each other.Which pattern do you get? < Options: A B C D E
Math_13	Lisa needs exactly 3 pieces to complete her jigsaw. Which of the 4 pieces is left over? <image_1>	[ "A", "B", "C", "D", "C or D" ]	A	2D Transformation	MathVision	Lisa needs exactly 3 pieces to complete her jigsaw. Which of the 4 pieces is left over? < Options: A B C D C or D
Math_14	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? <image_1>	[ "$20 \\mathrm{~cm}$", "$21 \\mathrm{~cm}$", "$22 \\mathrm{~cm}$", "$23 \\mathrm{~cm}$", "$25 \\mathrm{~cm}$" ]	B	2D Transformation	MathVision	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? < Options: $20 \mathrm{~cm}$ $21 \mathrm{~cm}$ $22 \mathrm{~cm}$ $23 \mathrm{~cm}$ $25 \mathrm{~cm}$
Math_15	Jörg is sorting his socks. Two socks with the same number are one pair. <image_1> How many pairs can he find?	[]	5	2D Transformation	MathVision	Jörg is sorting his socks. Two socks with the same number are one pair. <image_1> How many pairs can he find?
Math_16	The floor of a room is covered with equally big rectangular tiles (see picture). How long is the room? <image_1>	[ "$6 \\mathrm{~m}$", "$8 \\mathrm{~m}$", "$10 \\mathrm{~m}$", "$11 \\mathrm{~m}$", "$12 \\mathrm{~m}$" ]	E	2D Transformation	MathVision	The floor of a room is covered with equally big rectangular tiles (see picture). How long is the room? < Options: $6 \mathrm{~m}$ $8 \mathrm{~m}$ $10 \mathrm{~m}$ $11 \mathrm{~m}$ $12 \mathrm{~m}$
Math_17	Which of the figures can be cut into these 3 pieces? <image_1>	[ "A", "B", "C", "D", "E" ]	C	2D Transformation	MathVision	Which of the figures can be cut into these 3 pieces? < Options: A B C D E
Math_18	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? <image_1>	[ "A", "B", "C", "D", "E" ]	C	2D Transformation	MathVision	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? < Options: A B C D E
Math_19	Which of the tiles below is NOT part of the wall next door? <image_1>	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	Which of the tiles below is NOT part of the wall next door? < Options: A B C D E
Math_20	Turning a card around on the top side, we see the photo of the kangaroo. Instead, if we turn the card around on the right side, what will appear? <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	Turning a card around on the top side, we see the photo of the kangaroo. Instead, if we turn the card around on the right side, what will appear? < Options: A B C D E
Math_21	A kangaroo laid out 3 sticks like this to make a shape. It is not allowed to break or to bend the sticks. Which shape could the kangaroo make? <image_1>	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	A kangaroo laid out 3 sticks like this to make a shape. It is not allowed to break or to bend the sticks. Which shape could the kangaroo make? < Options: A B C D E
Math_22	Which figure can be made from the 2 pieces shown on the right? <image_1>	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	Which figure can be made from the 2 pieces shown on the right? < Options: A B C D E
Math_23	Mara built the square by using 4 of the following 5 shapes. Which shape was not used? <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	Mara built the square by using 4 of the following 5 shapes. Which shape was not used? < Options: A B C D E
Math_24	Anna cuts the picture of a mushroom in two halves. <image_1> She then arranges the two pieces together to form a new picture. What could this new picture look like?	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	Anna cuts the picture of a mushroom in two halves. <image_1> She then arranges the two pieces together to form a new picture. What could this new picture look like? Options: A B C D E
Math_25	A monkey has torn off a piece of Captain Jack's map. <image_1> What does the piece the monkey has torn off look like?	[ "A", "B", "C", "D", "E" ]	B	2D Transformation	MathVision	A monkey has torn off a piece of Captain Jack's map. <image_1> What does the piece the monkey has torn off look like? Options: A B C D E
Math_26	These five animals are made up from different shapes. There is one shape which is only used on one animal. On which animal is this shape used? <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	These five animals are made up from different shapes. There is one shape which is only used on one animal. On which animal is this shape used? < Options: A B C D E
Math_27	Mr Beaver re-arranges the parts to build a kangaroo. <image_1> Which part is missing?	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	Mr Beaver re-arranges the parts to build a kangaroo. <image_1> Which part is missing? Options: A B C D E
Math_28	Max wants to complete the jigsaw shown. He has different pieces. <image_1> Which pieces does he have to use?	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	Max wants to complete the jigsaw shown. He has different pieces. <image_1> Which pieces does he have to use? Options: A B C D E
Math_29	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? <image_1>	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	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? < Options: A B C D E
Math_30	A strip of paper is folded three times as shown. Determine $\beta$ if $\alpha=70^{\circ}$. <image_1>	[ "$140^{\\circ}$", "$130^{\\circ}$", "$120^{\\circ}$", "$110^{\\circ}$", "$100^{\\circ}$" ]	C	2D Transformation	MathVision	A strip of paper is folded three times as shown. Determine $\beta$ if $\alpha=70^{\circ}$. < Options: $140^{\circ}$ $130^{\circ}$ $120^{\circ}$ $110^{\circ}$ $100^{\circ}$
Math_31	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? <image_1>	[ "$4 \\pi$", "$\\frac{28}{3} \\pi$", "$8 \\pi$", "$\\frac{14}{3} \\pi$", "$\\frac{21}{2} \\pi$" ]	B	2D Transformation	MathVision	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? < Options: $4 \pi$ $\frac{28}{3} \pi$ $8 \pi$ $\frac{14}{3} \pi$ $\frac{21}{2} \pi$
Math_32	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? <image_1>	[]	1	2D Transformation	MathVision	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? <
Math_33	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 again for the first time? <image_1>	[ "A", "B", "C", "D", "E" ]	B	2D Transformation	MathVision	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 again for the first time? < Options: A B C D E
Math_34	Two rectangles form the angles $40^{\circ}$ and $30^{\circ}$ respectively, with a straight line (see diagram). How big is angle $\alpha$? <image_1>	[ "$105^{\\circ}$", "$120^{\\circ}$", "$130^{\\circ}$", "$135^{\\circ}$", "another value" ]	E	2D Transformation	MathVision	Two rectangles form the angles $40^{\circ}$ and $30^{\circ}$ respectively, with a straight line (see diagram). How big is angle $\alpha$? < Options: $105^{\circ}$ $120^{\circ}$ $130^{\circ}$ $135^{\circ}$ another value
Math_35	A rectangle is coloured in five different ways as shown. In which picture is the grey area biggest? <image_1>	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	A rectangle is coloured in five different ways as shown. In which picture is the grey area biggest? < Options: A B C D E
Math_36	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 $\mathrm{cm}^{2}$? <image_1>	[ "$\\frac{100 \\sqrt{5}}{3}$", "$50 \\sqrt{5}$", "$100(\\sqrt{5}-1)$", "$50(5-\\sqrt{5})$", "$50(5+\\sqrt{5})$" ]	D	2D Transformation	MathVision	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 $\mathrm{cm}^{2}$? < Options: $\frac{100 \sqrt{5}}{3}$ $50 \sqrt{5}$ $100(\sqrt{5}-1)$ $50(5-\sqrt{5})$ $50(5+\sqrt{5})$
Math_37	On a circle 15 points are equally spaced. We can form triangles by joining any 3 of these. Congruent triangles, by rotation or reflection, are counted as only one triangle. How many different triangles can be drawn? <image_1>	[]	19	2D Transformation	MathVision	On a circle 15 points are equally spaced. We can form triangles by joining any 3 of these. Congruent triangles, by rotation or reflection, are counted as only one triangle. How many different triangles can be drawn? <
Math_38	A square is placed in a co-ordinate system as shown. Each point $(x \mid y)$ of the square is deleted and replaced by the point $\left(\frac{1}{x} \mid \frac{1}{y}\right)$. Which diagram shows the resulting shape? <image_1>	[ "A", "B", "C", "D", "E" ]	C	2D Transformation	MathVision	A square is placed in a co-ordinate system as shown. Each point $(x \mid y)$ of the square is deleted and replaced by the point $\left(\frac{1}{x} \mid \frac{1}{y}\right)$. Which diagram shows the resulting shape? < Options: A B C D E
Math_39	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? <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	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? < Options: A B C D E
Math_40	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? <image_1>	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	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? < Options: A B C D E
Math_41	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? <image_1>	[ "A", "B", "C", "D", "E" ]	B	2D Transformation	MathVision	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? < Options: A B C D E
Math_42	Betty keeps drawing three different figures in the same order. Which figure should be the next? <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	Betty keeps drawing three different figures in the same order. Which figure should be the next? < Options: A B C D E
Math_43	Between two points four routes are drawn. Which route is the shortest? <image_1>	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	Between two points four routes are drawn. Which route is the shortest? < Options: A B C D E
Math_44	You can move or rotate each shape as you like, but you are not allowed to flip them over. What shape is not used in the puzzle? <image_1>	[]	C	2D Transformation	MathVision	You can move or rotate each shape as you like, but you are not allowed to flip them over. What shape is not used in the puzzle? <
Math_45	What is the piece that fits completely to the given one to form a rectangle? <image_1>	[ "A", "B", "C", "D", "E" ]	B	2D Transformation	MathVision	What is the piece that fits completely to the given one to form a rectangle? < Options: A B C D E
Math_46	Maria folds a square piece of paper in such a way that the kangaroos exactly overlap each other. Along how many of the lines shown is this possible? <image_1>	[]	2	2D Transformation	MathVision	Maria folds a square piece of paper in such a way that the kangaroos exactly overlap each other. Along how many of the lines shown is this possible? <
Math_47	A page is folded along the thick line as shown. Which letter will not be covered by a grey square? <image_1>	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	A page is folded along the thick line as shown. Which letter will not be covered by a grey square? < Options: A B C D E
Math_48	Andrea made the pattern in the picture out of several identical tiles. None of the tiles overlap each other. Which of the following tiles could she definitely not have used? <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	Andrea made the pattern in the picture out of several identical tiles. None of the tiles overlap each other. Which of the following tiles could she definitely not have used? < Options: A B C D E
Math_49	In which of the five pictures is the white area bigger than the grey area? <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	In which of the five pictures is the white area bigger than the grey area? < Options: A B C D E
Math_50	Anna has made two $L$ shapes out of 8 squares. How many of the following 4 shapes can she make with both $L$ shapes? <image_1>	[]	4	2D Transformation	MathVision	Anna has made two $L$ shapes out of 8 squares. How many of the following 4 shapes can she make with both $L$ shapes? <
Math_51	Grandma's watch has an hour, minute and second hand. We don't know which hand does which job, but we know that the watch tells the correct time. At 12:55:30 hours the watch looked as pictured. How will the watch look at 8:11:00 hours? <image_1>	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	Grandma's watch has an hour, minute and second hand. We don't know which hand does which job, but we know that the watch tells the correct time. At 12:55:30 hours the watch looked as pictured. How will the watch look at 8:11:00 hours? < Options: A B C D E
Math_52	For which houses, were exactly the same building blocks used? <image_1>	[ "House 1 and 4", "House 3 and 4", "House 1, 4 and 5", "House 3, 4 and 5", "House 1, 2, 4 and 5" ]	A	2D Transformation	MathVision	For which houses, were exactly the same building blocks used? < Options: House 1 and 4 House 3 and 4 House 1, 4 and 5 House 3, 4 and 5 House 1, 2, 4 and 5
Math_53	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? <image_1>	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	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? < Options: A B C D E
Math_54	With which square do you have to swap the question mark, so that the white area and the black area are the same size? <image_1>	[ "A", "B", "C", "D", "E" ]	B	2D Transformation	MathVision	With which square do you have to swap the question mark, so that the white area and the black area are the same size? < Options: A B C D E
Math_55	Erwin has got the following paper pieces: <image_1> With these four pieces he must exactly cover a special shape. In which drawing will he manage this, if the piece <image2> is placed as shown?	[ "(A)", "(B)", "(C)", "(D)", "(E)" ]	C	2D Transformation	MathVision	Erwin has got the following paper pieces: <image_1> With these four pieces he must exactly cover a special shape. In which drawing will he manage this, if the piece <image2> is placed as shown? Options: (A) (B) (C) (D) (E)
Math_56	The word Kangaroo is written on the top of my umbrella. Which of the 5 pictures shows my umbrella <image_1>	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	The word Kangaroo is written on the top of my umbrella. Which of the 5 pictures shows my umbrella < Options: A B C D E
Math_57	The shape in the picture is to be split into three identical pieces. What does one of these pieces look like? <image_1>	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	The shape in the picture is to be split into three identical pieces. What does one of these pieces look like? < Options: A B C D E
Math_58	Which of the following sentences fits to the picture? <image_1>	[ "There are equally many circles as squares.", "There are fewer circles than triangles.", "There are twice as many circles as triangles.", "There are more squares than triangles.", "There are two more triangles than circles." ]	C	2D Transformation	MathVision	Which of the following sentences fits to the picture? < Options: There are equally many circles as squares. There are fewer circles than triangles. There are twice as many circles as triangles. There are more squares than triangles. There are two more triangles than circles.
Math_59	Five children each have a black square, a grey triangle and a white circle made up of paper. The children place the three shapes on top of each other as seen in the pictures. In how many pictures was the triangles placed after the square? <image_1>	[]	3	2D Transformation	MathVision	Five children each have a black square, a grey triangle and a white circle made up of paper. The children place the three shapes on top of each other as seen in the pictures. In how many pictures was the triangles placed after the square? <
Math_60	A card has a diagram printed on one side and the other side is plain white. The card is first flipped over to the left and then upwards (see diagram). Which picture do you get this way? <image_1>	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	A card has a diagram printed on one side and the other side is plain white. The card is first flipped over to the left and then upwards (see diagram). Which picture do you get this way? < Options: A B C D E
Math_61	The picture above rotated. The picture below shows the new position after the rotation. Which footprints are missing after the rotation? <image_1>	[ "(A)", "(B)", "(C)", "(D)", "(E)" ]	C	2D Transformation	MathVision	The picture above rotated. The picture below shows the new position after the rotation. Which footprints are missing after the rotation? < Options: (A) (B) (C) (D) (E)
Math_62	The following picture shows a necklace with six pearls: <image_1> Which of the following diagrams shows the same necklace?	[ "(A)", "(B)", "(C)", "(D)", "(E)" ]	A	2D Transformation	MathVision	The following picture shows a necklace with six pearls: <image_1> Which of the following diagrams shows the same necklace? Options: (A) (B) (C) (D) (E)
Math_63	Bob folds a piece of paper, then punches a hole into the paper and unfolds it again. The unfolded paper then looks like this: <image_1> Along which dotted line has Bob folded the paper beforehand?	[ "A", "B", "C", "D", "E" ]	C	2D Transformation	MathVision	Bob folds a piece of paper, then punches a hole into the paper and unfolds it again. The unfolded paper then looks like this: <image_1> Along which dotted line has Bob folded the paper beforehand? Options: A B C D E
Math_64	On the right you can see a picture of ladybird Sophie. Sophie turns. Which of the pictures below is not Sophie? <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	On the right you can see a picture of ladybird Sophie. Sophie turns. Which of the pictures below is not Sophie? < Options: A B C D E
Math_65	Karina cuts out a piece of this form <image_1> from the diagram on the right. Which one of the following pieces can she cut out?	[ "(A)", "(B)", "(C)", "(D)", "(E)" ]	B	2D Transformation	MathVision	Karina cuts out a piece of this form <image_1> from the diagram on the right. Which one of the following pieces can she cut out? Options: (A) (B) (C) (D) (E)
Math_66	Which of the following pictures can you NOT do with all the pieces beside? <image_1>	[ "A", "B", "C", "D", "E" ]	C	2D Transformation	MathVision	Which of the following pictures can you NOT do with all the pieces beside? < Options: A B C D E
Math_67	Gaspar has these seven different pieces, formed by equal little squares. <image_1> He uses all these pieces to assemble rectangles with different perimeters, that is, with different shapes. How many different perimeters can he find?	[]	3	2D Transformation	MathVision	Gaspar has these seven different pieces, formed by equal little squares. <image_1> He uses all these pieces to assemble rectangles with different perimeters, that is, with different shapes. How many different perimeters can he find?
Math_68	Luana builds a fence using pieces of wood 2 meters long by half a meter wide, just like this one: <image_1>. The picture beside shows this fence, after it is ready. How long is the fence, in meters?	[]	6.5	2D Transformation	MathVision	Luana builds a fence using pieces of wood 2 meters long by half a meter wide, just like this one: <image_1>. The picture beside shows this fence, after it is ready. How long is the fence, in meters?
Math_69	Amelia built a crown using 10 copies of this piece <image_1>. The parts were joined together so that the sides in contact had the same number, as shown in the picture, where four parts are visible. What is the number that appears in the colored triangle?	[]	1	2D Transformation	MathVision	Amelia built a crown using 10 copies of this piece <image_1>. The parts were joined together so that the sides in contact had the same number, as shown in the picture, where four parts are visible. What is the number that appears in the colored triangle?
Math_70	The $4 \times 4$ grid without a little square, shown beside, was divided into three equal pieces. Which of the following figures represents one of these pieces? <image_1>	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	The $4 \times 4$ grid without a little square, shown beside, was divided into three equal pieces. Which of the following figures represents one of these pieces? < Options: A B C D E
Math_71	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 move. What do the cups look like after 10 moves? <image_1>	[ "(A)", "(B)", "(C)", "(D)", "(E)" ]	B	2D Transformation	MathVision	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 move. What do the cups look like after 10 moves? < Options: (A) (B) (C) (D) (E)
Math_72	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? <image_1>	[ "(A)", "(B)", "(C)", "(D)", "(E)" ]	D	2D Transformation	MathVision	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? < Options: (A) (B) (C) (D) (E)
Math_73	The little caterpillar <image_1> rolls up to go to sleep. What could it look like then?	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	The little caterpillar <image_1> rolls up to go to sleep. What could it look like then? Options: A B C D E
Math_74	A black disc with two holes is placed on top of a dial of a watch. The black disc is turned. Which two numbers can be seen at the same time? <image_1>	[ "4 and 9", "5 and 10", "5 and 9", "6 and 9", "7 and 12" ]	C	2D Transformation	MathVision	A black disc with two holes is placed on top of a dial of a watch. The black disc is turned. Which two numbers can be seen at the same time? < Options: 4 and 9 5 and 10 5 and 9 6 and 9 7 and 12
Math_75	Alice has these four jigsaw pieces: <image_1> Which two can she put together to form this square?	[ "1 and 2", "1 and 3", "2 and 3", "2 and 4", "1 and 4" ]	E	2D Transformation	MathVision	Alice has these four jigsaw pieces: <image_1> Which two can she put together to form this square? Options: 1 and 2 1 and 3 2 and 3 2 and 4 1 and 4
Math_76	Christoph folds a see-through piece of foil along the dashed line. What can he then see? <image_1>	[ "A", "B", "C", "D", "E" ]	A	2D Transformation	MathVision	Christoph folds a see-through piece of foil along the dashed line. What can he then see? < Options: A B C D E
Math_77	Daniel sticks these two pieces of paper <image_1> on this black circle: <image2> The two pieces of paper are not allowed to overlap. Which picture does he get?	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	Daniel sticks these two pieces of paper <image_1> on this black circle: <image2> The two pieces of paper are not allowed to overlap. Which picture does he get? Options: A B C D E
Math_78	Rebecca folds a square piece of paper twice. Then she cuts off one corner as you can see in the diagram. <image_1> Then she unfolds the paper. What could the paper look like now?	[ "A", "B", "C", "D", "E" ]	B	2D Transformation	MathVision	Rebecca folds a square piece of paper twice. Then she cuts off one corner as you can see in the diagram. <image_1> Then she unfolds the paper. What could the paper look like now? Options: A B C D E
Math_79	Else has two machines R and S. If she puts a square piece of paper into machine $R$ it is rotated: <image_1> If she puts the piece of paper in machine $S$ it is printed on: <image2> She wants to produce the following picture: <image3> In which order does Else use the two machines so that she gets this picture?	[ "SRR", "RSR", "RSS", "RRS", "SRS" ]	B	2D Transformation	MathVision	Else has two machines R and S. If she puts a square piece of paper into machine $R$ it is rotated: <image_1> If she puts the piece of paper in machine $S$ it is printed on: <image2> She wants to produce the following picture: <image3> In which order does Else use the two machines so that she gets this picture? Options: SRR RSR RSS RRS SRS
Math_80	The square was cut out from a page in a squared exercise book. Then two figures in the picture were cut out from the square. Which ones? <image_1>	[ "1 and 3", "2 and 4", "2 and 3", "1 and 4", "Impossible to cut out" ]	C	2D Transformation	MathVision	The square was cut out from a page in a squared exercise book. Then two figures in the picture were cut out from the square. Which ones? < Options: 1 and 3 2 and 4 2 and 3 1 and 4 Impossible to cut out
Math_81	You have two identical pieces that you can turn around but not upside down. Which picture can you not make with these two pieces? <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	You have two identical pieces that you can turn around but not upside down. Which picture can you not make with these two pieces? < Options: A B C D E
Math_82	Snail quadruplets have gone hiking on a path paved with identical rectangular tiles. The shape and length of each snail's trip is shown below. <image_1> How many decimeters has the snail Tin hiked?	[]	35	2D Transformation	MathVision	Snail quadruplets have gone hiking on a path paved with identical rectangular tiles. The shape and length of each snail's trip is shown below. <image_1> How many decimeters has the snail Tin hiked?
Math_83	Each of these two pieces of wire is made of 8 segments of length 1. One of the pieces is placed one above the other so that they coincide partially. What is the largest possible length of their common part? <image_1>	[]	5	2D Transformation	MathVision	Each of these two pieces of wire is made of 8 segments of length 1. One of the pieces is placed one above the other so that they coincide partially. What is the largest possible length of their common part? <
Math_84	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 <image_1> starting from <image2>?	[ "TTP", "PTT", "TPT", "TPP", "TPTTT" ]	B	2D Transformation	MathVision	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 <image_1> starting from <image2>? Options: TTP PTT TPT TPP TPTTT
Math_85	The squares are formed by intersecting the segment $A B$ of $24 \mathrm{~cm}$ by the broken line $A A_{1} A_{2} \ldots A_{12} B$ (see the figure). Find the length of $A A_{1} A_{2} \ldots A_{12} B$. <image_1>	[ "$48 \\mathrm{~cm}$", "$72 \\mathrm{~cm}$", "$96 \\mathrm{~cm}$", "$56 \\mathrm{~cm}$", "$106 \\mathrm{~cm}$" ]	B	2D Transformation	MathVision	The squares are formed by intersecting the segment $A B$ of $24 \mathrm{~cm}$ by the broken line $A A_{1} A_{2} \ldots A_{12} B$ (see the figure). Find the length of $A A_{1} A_{2} \ldots A_{12} B$. < Options: $48 \mathrm{~cm}$ $72 \mathrm{~cm}$ $96 \mathrm{~cm}$ $56 \mathrm{~cm}$ $106 \mathrm{~cm}$
Math_86	The number 4 is reflected twice in the picture. What apears in the field with the question mark if we do the same with the number 5 ? <image_1>	[ "A)", "B)", "C)", "D)", "E)" ]	C	2D Transformation	MathVision	The number 4 is reflected twice in the picture. What apears in the field with the question mark if we do the same with the number 5 ? < Options: A) B) C) D) E)
Math_87	In the box are seven blocks. It is possible to slide the blocks around so that another block can be added to the box. What is the minimum number of blocks that must be moved? <image_1>	[]	2	2D Transformation	MathVision	In the box are seven blocks. It is possible to slide the blocks around so that another block can be added to the box. What is the minimum number of blocks that must be moved? <
Math_88	The figure should be rotated $180^{\circ}$ around point $\mathrm{F}$. What is the result? <image_1>	[ "A", "B", "C", "D", "E" ]	C	2D Transformation	MathVision	The figure should be rotated $180^{\circ}$ around point $\mathrm{F}$. What is the result? < Options: A B C D E
Math_89	Daniel wants to make a complete square using pieces only like those shown. What is the minimum number of pieces he must use? <image_1>	[]	20	2D Transformation	MathVision	Daniel wants to make a complete square using pieces only like those shown. What is the minimum number of pieces he must use? <
Math_90	Lina has already laid two shapes on a square playing board. Which of the 5 shapes can she add to the board so that none of the remaining four shapes will have space to fit. <image_1>	[ "A", "B", "C", "D", "E" ]	D	2D Transformation	MathVision	Lina has already laid two shapes on a square playing board. Which of the 5 shapes can she add to the board so that none of the remaining four shapes will have space to fit. < Options: A B C D E
Math_91	Which three puzzle pieces do you need to complete the large puzzle? <image_1>	[ "1, 3, 4", "1, 3, 6", "2, 3, 5", "2, 3, 6", "2, 5, 6" ]	D	2D Transformation	MathVision	Which three puzzle pieces do you need to complete the large puzzle? < Options: 1, 3, 4 1, 3, 6 2, 3, 5 2, 3, 6 2, 5, 6
Math_92	Both the figures on the right were made out of the same 5 pieces. The rectangle has dimensions $5 \mathrm{~cm} \times 10 \mathrm{~cm}$. The other pieces are quarter circles with 2 different sized radii. What is the difference between the perimeters of the two figures? <image_1>	[ "$2.5 \\mathrm{~cm}$", "$5 \\mathrm{~cm}$", "$10 \\mathrm{~cm}$", "$15 \\mathrm{~cm}$", "$20 \\mathrm{~cm}$" ]	E	2D Transformation	MathVision	Both the figures on the right were made out of the same 5 pieces. The rectangle has dimensions $5 \mathrm{~cm} \times 10 \mathrm{~cm}$. The other pieces are quarter circles with 2 different sized radii. What is the difference between the perimeters of the two figures? < Options: $2.5 \mathrm{~cm}$ $5 \mathrm{~cm}$ $10 \mathrm{~cm}$ $15 \mathrm{~cm}$ $20 \mathrm{~cm}$
Math_93	Which of the figures below will cover the most dots when laid on the square shown on the right. <image_1>	[ "(A)", "(B)", "(C)", "(D)", "(E)" ]	C	2D Transformation	MathVision	Which of the figures below will cover the most dots when laid on the square shown on the right. < Options: (A) (B) (C) (D) (E)
Math_94	From an old model train set there are only identical pieces of track to use. Matthias puts 8 such pieces in a circle (picture on the left). Martin begins his track with 2 pieces as shown in the picture on the right. He also wants to build a closed track and use the smallest number of pieces possible. How many pieces will his track use? <image_1>	[]	12	2D Transformation	MathVision	From an old model train set there are only identical pieces of track to use. Matthias puts 8 such pieces in a circle (picture on the left). Martin begins his track with 2 pieces as shown in the picture on the right. He also wants to build a closed track and use the smallest number of pieces possible. How many pieces will his track use? <
Math_95	Arno lays out the word KANGAROO using 8 cards. However, some cards are turned. <image_1> By turning it twice the letter $\mathrm{K}$ can be corrected, letter $\mathrm{A}$ can be corrected by turning it once (see drawing). How often does he have to turn so that the word KANGAROO can be read correctly?	[]	6	2D Transformation	MathVision	Arno lays out the word KANGAROO using 8 cards. However, some cards are turned. <image_1> By turning it twice the letter $\mathrm{K}$ can be corrected, letter $\mathrm{A}$ can be corrected by turning it once (see drawing). How often does he have to turn so that the word KANGAROO can be read correctly?
Math_96	Which square has to replace the question mark so that the white area and the black area are equally big? <image_1>	[ "(A)", "(B)", "(C)", "(D)", "(E)" ]	B	2D Transformation	MathVision	Which square has to replace the question mark so that the white area and the black area are equally big? < Options: (A) (B) (C) (D) (E)
Math_97	A square can be made out of four of the given pieces. Which piece will not be used? <image_1>	[ "A", "B", "C", "D", "E" ]	B	2D Transformation	MathVision	A square can be made out of four of the given pieces. Which piece will not be used? < Options: A B C D E
Math_98	Peter looks at the picture hanging on the wall in more detail through a magnifying glass. Which section can he not see? <image_1>	[ "A", "B", "C", "D", "E" ]	E	2D Transformation	MathVision	Peter looks at the picture hanging on the wall in more detail through a magnifying glass. Which section can he not see? < Options: A B C D E
Math_99	Bart sits at the hairdressers. In the mirror he sees a clock as shown in the diagram: What was the mirror image of the clock 10 minutes earlier? <image_1>	[ "(A)", "(B)", "(C)", "(D)", "(E)" ]	E	2D Transformation	MathVision	Bart sits at the hairdressers. In the mirror he sees a clock as shown in the diagram: What was the mirror image of the clock 10 minutes earlier? < Options: (A) (B) (C) (D) (E)
Math_100	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? <image_1>	[]	9	2D Transformation	MathVision	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? <

Math_1

Which of the figures shown bellow cannot be cut out of the figure illustrated nearby? <image_1>

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

Which of the figures shown bellow cannot be cut out of the figure illustrated nearby? < Options: A B C D E

Math_2

A square is cut into four pieces. Which shape can you not make with these four pieces? <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

A square is cut into four pieces. Which shape can you not make with these four pieces? < Options: A B C D E

Math_3

Which part of the house is missing? <image_1>

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

Which part of the house is missing? < Options: A B C D E

Math_4

Florian has 10 equally long metal strips with equally many holes. <image_1> He bolts the metal strips together in pairs. Now he has five long strips (see the diagram). Which of the long strips is the shortest?

[ "A", "B", "C", "D", "E" ]

B

2D Transformation

MathVision

Florian has 10 equally long metal strips with equally many holes. <image_1> He bolts the metal strips together in pairs. Now he has five long strips (see the diagram). Which of the long strips is the shortest? Options: A B C D E

Math_5

Which of the kangaroo cards shown below can be turned around so that it then looks the same as the card shown on the right? <image_1>

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

Which of the kangaroo cards shown below can be turned around so that it then looks the same as the card shown on the right? < Options: A B C D E

Math_6

Which piece is missing? <image_1>

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

Which piece is missing? < Options: A B C D E

Math_7

Konrad has some pieces of cardboard which all look like this: <image_1> Which of the shapes below can he not make out of these pieces?

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

Konrad has some pieces of cardboard which all look like this: <image_1> Which of the shapes below can he not make out of these pieces? Options: A B C D E

Math_8

Ellen wants to decorate the butterfly Which butterfly can she make? <image_1> using these 6 stickers

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

Ellen wants to decorate the butterfly Which butterfly can she make? <image_1> using these 6 stickers Options: A B C D E

Math_9

How many blocks are missing in this igloo? <image_1>

[]

10

2D Transformation

MathVision

How many blocks are missing in this igloo? <

Math_10

Simon has two identical tiles, whose front look like this: The back is white. <image_1> Which pattern can he make with those two tiles?

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

Simon has two identical tiles, whose front look like this: The back is white. <image_1> Which pattern can he make with those two tiles? Options: A B C D E

Math_11

Peter has drawn this pattern: <image_1> He draws exactly the same pattern once more. Which point is on his drawing?

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

Peter has drawn this pattern: <image_1> He draws exactly the same pattern once more. Which point is on his drawing? Options: A B C D E

Math_12

This diagram shows two see-through sheets. You place the sheets on top of each other.Which pattern do you get? <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

This diagram shows two see-through sheets. You place the sheets on top of each other.Which pattern do you get? < Options: A B C D E

Math_13

Lisa needs exactly 3 pieces to complete her jigsaw. Which of the 4 pieces is left over? <image_1>

[ "A", "B", "C", "D", "C or D" ]

A

2D Transformation

MathVision

Lisa needs exactly 3 pieces to complete her jigsaw. Which of the 4 pieces is left over? < Options: A B C D C or D

Math_14

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? <image_1>

[ "$20 \\mathrm{~cm}$", "$21 \\mathrm{~cm}$", "$22 \\mathrm{~cm}$", "$23 \\mathrm{~cm}$", "$25 \\mathrm{~cm}$" ]

B

2D Transformation

MathVision

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? < Options: $20 \mathrm{~cm}$ $21 \mathrm{~cm}$ $22 \mathrm{~cm}$ $23 \mathrm{~cm}$ $25 \mathrm{~cm}$

Math_15

Jörg is sorting his socks. Two socks with the same number are one pair. <image_1> How many pairs can he find?

[]

5

2D Transformation

MathVision

Jörg is sorting his socks. Two socks with the same number are one pair. <image_1> How many pairs can he find?

Math_16

The floor of a room is covered with equally big rectangular tiles (see picture). How long is the room? <image_1>

[ "$6 \\mathrm{~m}$", "$8 \\mathrm{~m}$", "$10 \\mathrm{~m}$", "$11 \\mathrm{~m}$", "$12 \\mathrm{~m}$" ]

E

2D Transformation

MathVision

The floor of a room is covered with equally big rectangular tiles (see picture). How long is the room? < Options: $6 \mathrm{~m}$ $8 \mathrm{~m}$ $10 \mathrm{~m}$ $11 \mathrm{~m}$ $12 \mathrm{~m}$

Math_17

Which of the figures can be cut into these 3 pieces? <image_1>

[ "A", "B", "C", "D", "E" ]

C

2D Transformation

MathVision

Which of the figures can be cut into these 3 pieces? < Options: A B C D E

Math_18

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? <image_1>

[ "A", "B", "C", "D", "E" ]

C

2D Transformation

MathVision

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? < Options: A B C D E

Math_19

Which of the tiles below is NOT part of the wall next door? <image_1>

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

Which of the tiles below is NOT part of the wall next door? < Options: A B C D E

Math_20

Turning a card around on the top side, we see the photo of the kangaroo. Instead, if we turn the card around on the right side, what will appear? <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

Turning a card around on the top side, we see the photo of the kangaroo. Instead, if we turn the card around on the right side, what will appear? < Options: A B C D E

Math_21

A kangaroo laid out 3 sticks like this to make a shape. It is not allowed to break or to bend the sticks. Which shape could the kangaroo make? <image_1>

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

A kangaroo laid out 3 sticks like this to make a shape. It is not allowed to break or to bend the sticks. Which shape could the kangaroo make? < Options: A B C D E

Math_22

Which figure can be made from the 2 pieces shown on the right? <image_1>

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

Which figure can be made from the 2 pieces shown on the right? < Options: A B C D E

Math_23

Mara built the square by using 4 of the following 5 shapes. Which shape was not used? <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

Mara built the square by using 4 of the following 5 shapes. Which shape was not used? < Options: A B C D E

Math_24

Anna cuts the picture of a mushroom in two halves. <image_1> She then arranges the two pieces together to form a new picture. What could this new picture look like?

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

Anna cuts the picture of a mushroom in two halves. <image_1> She then arranges the two pieces together to form a new picture. What could this new picture look like? Options: A B C D E

Math_25

A monkey has torn off a piece of Captain Jack's map. <image_1> What does the piece the monkey has torn off look like?

[ "A", "B", "C", "D", "E" ]

B

2D Transformation

MathVision

A monkey has torn off a piece of Captain Jack's map. <image_1> What does the piece the monkey has torn off look like? Options: A B C D E

Math_26

These five animals are made up from different shapes. There is one shape which is only used on one animal. On which animal is this shape used? <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

These five animals are made up from different shapes. There is one shape which is only used on one animal. On which animal is this shape used? < Options: A B C D E

Math_27

Mr Beaver re-arranges the parts to build a kangaroo. <image_1> Which part is missing?

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

Mr Beaver re-arranges the parts to build a kangaroo. <image_1> Which part is missing? Options: A B C D E

Math_28

Max wants to complete the jigsaw shown. He has different pieces. <image_1> Which pieces does he have to use?

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

Max wants to complete the jigsaw shown. He has different pieces. <image_1> Which pieces does he have to use? Options: A B C D E

Math_29

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? <image_1>

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

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? < Options: A B C D E

Math_30

A strip of paper is folded three times as shown. Determine $\beta$ if $\alpha=70^{\circ}$. <image_1>

[ "$140^{\\circ}$", "$130^{\\circ}$", "$120^{\\circ}$", "$110^{\\circ}$", "$100^{\\circ}$" ]

C

2D Transformation

MathVision

A strip of paper is folded three times as shown. Determine $\beta$ if $\alpha=70^{\circ}$. < Options: $140^{\circ}$ $130^{\circ}$ $120^{\circ}$ $110^{\circ}$ $100^{\circ}$

Math_31

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? <image_1>

[ "$4 \\pi$", "$\\frac{28}{3} \\pi$", "$8 \\pi$", "$\\frac{14}{3} \\pi$", "$\\frac{21}{2} \\pi$" ]

B

2D Transformation

MathVision

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? < Options: $4 \pi$ $\frac{28}{3} \pi$ $8 \pi$ $\frac{14}{3} \pi$ $\frac{21}{2} \pi$

Math_32

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? <image_1>

[]

1

2D Transformation

MathVision

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? <

Math_33

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 again for the first time? <image_1>

[ "A", "B", "C", "D", "E" ]

B

2D Transformation

MathVision

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 again for the first time? < Options: A B C D E

Math_34

Two rectangles form the angles $40^{\circ}$ and $30^{\circ}$ respectively, with a straight line (see diagram). How big is angle $\alpha$? <image_1>

[ "$105^{\\circ}$", "$120^{\\circ}$", "$130^{\\circ}$", "$135^{\\circ}$", "another value" ]

E

2D Transformation

MathVision

Two rectangles form the angles $40^{\circ}$ and $30^{\circ}$ respectively, with a straight line (see diagram). How big is angle $\alpha$? < Options: $105^{\circ}$ $120^{\circ}$ $130^{\circ}$ $135^{\circ}$ another value

Math_35

A rectangle is coloured in five different ways as shown. In which picture is the grey area biggest? <image_1>

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

A rectangle is coloured in five different ways as shown. In which picture is the grey area biggest? < Options: A B C D E

Math_36

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 $\mathrm{cm}^{2}$? <image_1>

[ "$\\frac{100 \\sqrt{5}}{3}$", "$50 \\sqrt{5}$", "$100(\\sqrt{5}-1)$", "$50(5-\\sqrt{5})$", "$50(5+\\sqrt{5})$" ]

D

2D Transformation

MathVision

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 $\mathrm{cm}^{2}$? < Options: $\frac{100 \sqrt{5}}{3}$ $50 \sqrt{5}$ $100(\sqrt{5}-1)$ $50(5-\sqrt{5})$ $50(5+\sqrt{5})$

Math_37

On a circle 15 points are equally spaced. We can form triangles by joining any 3 of these. Congruent triangles, by rotation or reflection, are counted as only one triangle. How many different triangles can be drawn? <image_1>

[]

19

2D Transformation

MathVision

On a circle 15 points are equally spaced. We can form triangles by joining any 3 of these. Congruent triangles, by rotation or reflection, are counted as only one triangle. How many different triangles can be drawn? <

Math_38

A square is placed in a co-ordinate system as shown. Each point $(x \mid y)$ of the square is deleted and replaced by the point $\left(\frac{1}{x} \mid \frac{1}{y}\right)$. Which diagram shows the resulting shape? <image_1>

[ "A", "B", "C", "D", "E" ]

C

2D Transformation

MathVision

A square is placed in a co-ordinate system as shown. Each point $(x \mid y)$ of the square is deleted and replaced by the point $\left(\frac{1}{x} \mid \frac{1}{y}\right)$. Which diagram shows the resulting shape? < Options: A B C D E

Math_39

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? <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

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? < Options: A B C D E

Math_40

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? <image_1>

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

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? < Options: A B C D E

Math_41

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? <image_1>

[ "A", "B", "C", "D", "E" ]

B

2D Transformation

MathVision

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? < Options: A B C D E

Math_42

Betty keeps drawing three different figures in the same order. Which figure should be the next? <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

Betty keeps drawing three different figures in the same order. Which figure should be the next? < Options: A B C D E

Math_43

Between two points four routes are drawn. Which route is the shortest? <image_1>

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

Between two points four routes are drawn. Which route is the shortest? < Options: A B C D E

Math_44

You can move or rotate each shape as you like, but you are not allowed to flip them over. What shape is not used in the puzzle? <image_1>

[]

C

2D Transformation

MathVision

You can move or rotate each shape as you like, but you are not allowed to flip them over. What shape is not used in the puzzle? <

Math_45

What is the piece that fits completely to the given one to form a rectangle? <image_1>

[ "A", "B", "C", "D", "E" ]

B

2D Transformation

MathVision

What is the piece that fits completely to the given one to form a rectangle? < Options: A B C D E

Math_46

Maria folds a square piece of paper in such a way that the kangaroos exactly overlap each other. Along how many of the lines shown is this possible? <image_1>

[]

2

2D Transformation

MathVision

Maria folds a square piece of paper in such a way that the kangaroos exactly overlap each other. Along how many of the lines shown is this possible? <

Math_47

A page is folded along the thick line as shown. Which letter will not be covered by a grey square? <image_1>

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

A page is folded along the thick line as shown. Which letter will not be covered by a grey square? < Options: A B C D E

Math_48

Andrea made the pattern in the picture out of several identical tiles. None of the tiles overlap each other. Which of the following tiles could she definitely not have used? <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

Andrea made the pattern in the picture out of several identical tiles. None of the tiles overlap each other. Which of the following tiles could she definitely not have used? < Options: A B C D E

Math_49

In which of the five pictures is the white area bigger than the grey area? <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

In which of the five pictures is the white area bigger than the grey area? < Options: A B C D E

Math_50

Anna has made two $L$ shapes out of 8 squares. How many of the following 4 shapes can she make with both $L$ shapes? <image_1>

[]

4

2D Transformation

MathVision

Anna has made two $L$ shapes out of 8 squares. How many of the following 4 shapes can she make with both $L$ shapes? <

Math_51

Grandma's watch has an hour, minute and second hand. We don't know which hand does which job, but we know that the watch tells the correct time. At 12:55:30 hours the watch looked as pictured. How will the watch look at 8:11:00 hours? <image_1>

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

Grandma's watch has an hour, minute and second hand. We don't know which hand does which job, but we know that the watch tells the correct time. At 12:55:30 hours the watch looked as pictured. How will the watch look at 8:11:00 hours? < Options: A B C D E

Math_52

For which houses, were exactly the same building blocks used? <image_1>

[ "House 1 and 4", "House 3 and 4", "House 1, 4 and 5", "House 3, 4 and 5", "House 1, 2, 4 and 5" ]

A

2D Transformation

MathVision

For which houses, were exactly the same building blocks used? < Options: House 1 and 4 House 3 and 4 House 1, 4 and 5 House 3, 4 and 5 House 1, 2, 4 and 5

Math_53

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? <image_1>

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

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? < Options: A B C D E

Math_54

With which square do you have to swap the question mark, so that the white area and the black area are the same size? <image_1>

[ "A", "B", "C", "D", "E" ]

B

2D Transformation

MathVision

With which square do you have to swap the question mark, so that the white area and the black area are the same size? < Options: A B C D E

Math_55

Erwin has got the following paper pieces: <image_1> With these four pieces he must exactly cover a special shape. In which drawing will he manage this, if the piece <image2> is placed as shown?

[ "(A)", "(B)", "(C)", "(D)", "(E)" ]

C

2D Transformation

MathVision

Erwin has got the following paper pieces: <image_1> With these four pieces he must exactly cover a special shape. In which drawing will he manage this, if the piece <image2> is placed as shown? Options: (A) (B) (C) (D) (E)

Math_56

The word Kangaroo is written on the top of my umbrella. Which of the 5 pictures shows my umbrella <image_1>

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

The word Kangaroo is written on the top of my umbrella. Which of the 5 pictures shows my umbrella < Options: A B C D E

Math_57

The shape in the picture is to be split into three identical pieces. What does one of these pieces look like? <image_1>

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

The shape in the picture is to be split into three identical pieces. What does one of these pieces look like? < Options: A B C D E

Math_58

Which of the following sentences fits to the picture? <image_1>

[ "There are equally many circles as squares.", "There are fewer circles than triangles.", "There are twice as many circles as triangles.", "There are more squares than triangles.", "There are two more triangles than circles." ]

C

2D Transformation

MathVision

Which of the following sentences fits to the picture? < Options: There are equally many circles as squares. There are fewer circles than triangles. There are twice as many circles as triangles. There are more squares than triangles. There are two more triangles than circles.

Math_59

Five children each have a black square, a grey triangle and a white circle made up of paper. The children place the three shapes on top of each other as seen in the pictures. In how many pictures was the triangles placed after the square? <image_1>

[]

3

2D Transformation

MathVision

Five children each have a black square, a grey triangle and a white circle made up of paper. The children place the three shapes on top of each other as seen in the pictures. In how many pictures was the triangles placed after the square? <

Math_60

A card has a diagram printed on one side and the other side is plain white. The card is first flipped over to the left and then upwards (see diagram). Which picture do you get this way? <image_1>

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

A card has a diagram printed on one side and the other side is plain white. The card is first flipped over to the left and then upwards (see diagram). Which picture do you get this way? < Options: A B C D E

Math_61

The picture above rotated. The picture below shows the new position after the rotation. Which footprints are missing after the rotation? <image_1>

[ "(A)", "(B)", "(C)", "(D)", "(E)" ]

C

2D Transformation

MathVision

The picture above rotated. The picture below shows the new position after the rotation. Which footprints are missing after the rotation? < Options: (A) (B) (C) (D) (E)

Math_62

The following picture shows a necklace with six pearls: <image_1> Which of the following diagrams shows the same necklace?

[ "(A)", "(B)", "(C)", "(D)", "(E)" ]

A

2D Transformation

MathVision

The following picture shows a necklace with six pearls: <image_1> Which of the following diagrams shows the same necklace? Options: (A) (B) (C) (D) (E)

Math_63

Bob folds a piece of paper, then punches a hole into the paper and unfolds it again. The unfolded paper then looks like this: <image_1> Along which dotted line has Bob folded the paper beforehand?

[ "A", "B", "C", "D", "E" ]

C

2D Transformation

MathVision

Bob folds a piece of paper, then punches a hole into the paper and unfolds it again. The unfolded paper then looks like this: <image_1> Along which dotted line has Bob folded the paper beforehand? Options: A B C D E

Math_64

On the right you can see a picture of ladybird Sophie. Sophie turns. Which of the pictures below is not Sophie? <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

On the right you can see a picture of ladybird Sophie. Sophie turns. Which of the pictures below is not Sophie? < Options: A B C D E

Math_65

Karina cuts out a piece of this form <image_1> from the diagram on the right. Which one of the following pieces can she cut out?

[ "(A)", "(B)", "(C)", "(D)", "(E)" ]

B

2D Transformation

MathVision

Karina cuts out a piece of this form <image_1> from the diagram on the right. Which one of the following pieces can she cut out? Options: (A) (B) (C) (D) (E)

Math_66

Which of the following pictures can you NOT do with all the pieces beside? <image_1>

[ "A", "B", "C", "D", "E" ]

C

2D Transformation

MathVision

Which of the following pictures can you NOT do with all the pieces beside? < Options: A B C D E

Math_67

Gaspar has these seven different pieces, formed by equal little squares. <image_1> He uses all these pieces to assemble rectangles with different perimeters, that is, with different shapes. How many different perimeters can he find?

[]

3

2D Transformation

MathVision

Gaspar has these seven different pieces, formed by equal little squares. <image_1> He uses all these pieces to assemble rectangles with different perimeters, that is, with different shapes. How many different perimeters can he find?

Math_68

Luana builds a fence using pieces of wood 2 meters long by half a meter wide, just like this one: <image_1>. The picture beside shows this fence, after it is ready. How long is the fence, in meters?

[]

6.5

2D Transformation

MathVision

Luana builds a fence using pieces of wood 2 meters long by half a meter wide, just like this one: <image_1>. The picture beside shows this fence, after it is ready. How long is the fence, in meters?

Math_69

Amelia built a crown using 10 copies of this piece <image_1>. The parts were joined together so that the sides in contact had the same number, as shown in the picture, where four parts are visible. What is the number that appears in the colored triangle?

[]

1

2D Transformation

MathVision

Amelia built a crown using 10 copies of this piece <image_1>. The parts were joined together so that the sides in contact had the same number, as shown in the picture, where four parts are visible. What is the number that appears in the colored triangle?

Math_70

The $4 \times 4$ grid without a little square, shown beside, was divided into three equal pieces. Which of the following figures represents one of these pieces? <image_1>

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

The $4 \times 4$ grid without a little square, shown beside, was divided into three equal pieces. Which of the following figures represents one of these pieces? < Options: A B C D E

Math_71

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 move. What do the cups look like after 10 moves? <image_1>

[ "(A)", "(B)", "(C)", "(D)", "(E)" ]

B

2D Transformation

MathVision

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 move. What do the cups look like after 10 moves? < Options: (A) (B) (C) (D) (E)

Math_72

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? <image_1>

[ "(A)", "(B)", "(C)", "(D)", "(E)" ]

D

2D Transformation

MathVision

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? < Options: (A) (B) (C) (D) (E)

Math_73

The little caterpillar <image_1> rolls up to go to sleep. What could it look like then?

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

The little caterpillar <image_1> rolls up to go to sleep. What could it look like then? Options: A B C D E

Math_74

A black disc with two holes is placed on top of a dial of a watch. The black disc is turned. Which two numbers can be seen at the same time? <image_1>

[ "4 and 9", "5 and 10", "5 and 9", "6 and 9", "7 and 12" ]

C

2D Transformation

MathVision

A black disc with two holes is placed on top of a dial of a watch. The black disc is turned. Which two numbers can be seen at the same time? < Options: 4 and 9 5 and 10 5 and 9 6 and 9 7 and 12

Math_75

Alice has these four jigsaw pieces: <image_1> Which two can she put together to form this square?

[ "1 and 2", "1 and 3", "2 and 3", "2 and 4", "1 and 4" ]

E

2D Transformation

MathVision

Alice has these four jigsaw pieces: <image_1> Which two can she put together to form this square? Options: 1 and 2 1 and 3 2 and 3 2 and 4 1 and 4

Math_76

Christoph folds a see-through piece of foil along the dashed line. What can he then see? <image_1>

[ "A", "B", "C", "D", "E" ]

A

2D Transformation

MathVision

Christoph folds a see-through piece of foil along the dashed line. What can he then see? < Options: A B C D E

Math_77

Daniel sticks these two pieces of paper <image_1> on this black circle: <image2> The two pieces of paper are not allowed to overlap. Which picture does he get?

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

Daniel sticks these two pieces of paper <image_1> on this black circle: <image2> The two pieces of paper are not allowed to overlap. Which picture does he get? Options: A B C D E

Math_78

Rebecca folds a square piece of paper twice. Then she cuts off one corner as you can see in the diagram. <image_1> Then she unfolds the paper. What could the paper look like now?

[ "A", "B", "C", "D", "E" ]

B

2D Transformation

MathVision

Rebecca folds a square piece of paper twice. Then she cuts off one corner as you can see in the diagram. <image_1> Then she unfolds the paper. What could the paper look like now? Options: A B C D E

Math_79

Else has two machines R and S. If she puts a square piece of paper into machine $R$ it is rotated: <image_1> If she puts the piece of paper in machine $S$ it is printed on: <image2> She wants to produce the following picture: <image3> In which order does Else use the two machines so that she gets this picture?

[ "SRR", "RSR", "RSS", "RRS", "SRS" ]

B

2D Transformation

MathVision

Else has two machines R and S. If she puts a square piece of paper into machine $R$ it is rotated: <image_1> If she puts the piece of paper in machine $S$ it is printed on: <image2> She wants to produce the following picture: <image3> In which order does Else use the two machines so that she gets this picture? Options: SRR RSR RSS RRS SRS

Math_80

The square was cut out from a page in a squared exercise book. Then two figures in the picture were cut out from the square. Which ones? <image_1>

[ "1 and 3", "2 and 4", "2 and 3", "1 and 4", "Impossible to cut out" ]

C

2D Transformation

MathVision

The square was cut out from a page in a squared exercise book. Then two figures in the picture were cut out from the square. Which ones? < Options: 1 and 3 2 and 4 2 and 3 1 and 4 Impossible to cut out

Math_81

You have two identical pieces that you can turn around but not upside down. Which picture can you not make with these two pieces? <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

You have two identical pieces that you can turn around but not upside down. Which picture can you not make with these two pieces? < Options: A B C D E

Math_82

Snail quadruplets have gone hiking on a path paved with identical rectangular tiles. The shape and length of each snail's trip is shown below. <image_1> How many decimeters has the snail Tin hiked?

[]

35

2D Transformation

MathVision

Snail quadruplets have gone hiking on a path paved with identical rectangular tiles. The shape and length of each snail's trip is shown below. <image_1> How many decimeters has the snail Tin hiked?

Math_83

Each of these two pieces of wire is made of 8 segments of length 1. One of the pieces is placed one above the other so that they coincide partially. What is the largest possible length of their common part? <image_1>

[]

5

2D Transformation

MathVision

Each of these two pieces of wire is made of 8 segments of length 1. One of the pieces is placed one above the other so that they coincide partially. What is the largest possible length of their common part? <

Math_84

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 <image_1> starting from <image2>?

[ "TTP", "PTT", "TPT", "TPP", "TPTTT" ]

B

2D Transformation

MathVision

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 <image_1> starting from <image2>? Options: TTP PTT TPT TPP TPTTT

Math_85

The squares are formed by intersecting the segment $A B$ of $24 \mathrm{~cm}$ by the broken line $A A_{1} A_{2} \ldots A_{12} B$ (see the figure). Find the length of $A A_{1} A_{2} \ldots A_{12} B$. <image_1>

[ "$48 \\mathrm{~cm}$", "$72 \\mathrm{~cm}$", "$96 \\mathrm{~cm}$", "$56 \\mathrm{~cm}$", "$106 \\mathrm{~cm}$" ]

B

2D Transformation

MathVision

The squares are formed by intersecting the segment $A B$ of $24 \mathrm{~cm}$ by the broken line $A A_{1} A_{2} \ldots A_{12} B$ (see the figure). Find the length of $A A_{1} A_{2} \ldots A_{12} B$. < Options: $48 \mathrm{~cm}$ $72 \mathrm{~cm}$ $96 \mathrm{~cm}$ $56 \mathrm{~cm}$ $106 \mathrm{~cm}$

Math_86

The number 4 is reflected twice in the picture. What apears in the field with the question mark if we do the same with the number 5 ? <image_1>

[ "A)", "B)", "C)", "D)", "E)" ]

C

2D Transformation

MathVision

The number 4 is reflected twice in the picture. What apears in the field with the question mark if we do the same with the number 5 ? < Options: A) B) C) D) E)

Math_87

In the box are seven blocks. It is possible to slide the blocks around so that another block can be added to the box. What is the minimum number of blocks that must be moved? <image_1>

[]

2

2D Transformation

MathVision

In the box are seven blocks. It is possible to slide the blocks around so that another block can be added to the box. What is the minimum number of blocks that must be moved? <

Math_88

The figure should be rotated $180^{\circ}$ around point $\mathrm{F}$. What is the result? <image_1>

[ "A", "B", "C", "D", "E" ]

C

2D Transformation

MathVision

The figure should be rotated $180^{\circ}$ around point $\mathrm{F}$. What is the result? < Options: A B C D E

Math_89

Daniel wants to make a complete square using pieces only like those shown. What is the minimum number of pieces he must use? <image_1>

[]

20

2D Transformation

MathVision

Daniel wants to make a complete square using pieces only like those shown. What is the minimum number of pieces he must use? <

Math_90

Lina has already laid two shapes on a square playing board. Which of the 5 shapes can she add to the board so that none of the remaining four shapes will have space to fit. <image_1>

[ "A", "B", "C", "D", "E" ]

D

2D Transformation

MathVision

Lina has already laid two shapes on a square playing board. Which of the 5 shapes can she add to the board so that none of the remaining four shapes will have space to fit. < Options: A B C D E

Math_91

Which three puzzle pieces do you need to complete the large puzzle? <image_1>

[ "1, 3, 4", "1, 3, 6", "2, 3, 5", "2, 3, 6", "2, 5, 6" ]

D

2D Transformation

MathVision

Which three puzzle pieces do you need to complete the large puzzle? < Options: 1, 3, 4 1, 3, 6 2, 3, 5 2, 3, 6 2, 5, 6

Math_92

Both the figures on the right were made out of the same 5 pieces. The rectangle has dimensions $5 \mathrm{~cm} \times 10 \mathrm{~cm}$. The other pieces are quarter circles with 2 different sized radii. What is the difference between the perimeters of the two figures? <image_1>

[ "$2.5 \\mathrm{~cm}$", "$5 \\mathrm{~cm}$", "$10 \\mathrm{~cm}$", "$15 \\mathrm{~cm}$", "$20 \\mathrm{~cm}$" ]

E

2D Transformation

MathVision

Both the figures on the right were made out of the same 5 pieces. The rectangle has dimensions $5 \mathrm{~cm} \times 10 \mathrm{~cm}$. The other pieces are quarter circles with 2 different sized radii. What is the difference between the perimeters of the two figures? < Options: $2.5 \mathrm{~cm}$ $5 \mathrm{~cm}$ $10 \mathrm{~cm}$ $15 \mathrm{~cm}$ $20 \mathrm{~cm}$

Math_93

Which of the figures below will cover the most dots when laid on the square shown on the right. <image_1>

[ "(A)", "(B)", "(C)", "(D)", "(E)" ]

C

2D Transformation

MathVision

Which of the figures below will cover the most dots when laid on the square shown on the right. < Options: (A) (B) (C) (D) (E)

Math_94

From an old model train set there are only identical pieces of track to use. Matthias puts 8 such pieces in a circle (picture on the left). Martin begins his track with 2 pieces as shown in the picture on the right. He also wants to build a closed track and use the smallest number of pieces possible. How many pieces will his track use? <image_1>

[]

12

2D Transformation

MathVision

From an old model train set there are only identical pieces of track to use. Matthias puts 8 such pieces in a circle (picture on the left). Martin begins his track with 2 pieces as shown in the picture on the right. He also wants to build a closed track and use the smallest number of pieces possible. How many pieces will his track use? <

Math_95

Arno lays out the word KANGAROO using 8 cards. However, some cards are turned. <image_1> By turning it twice the letter $\mathrm{K}$ can be corrected, letter $\mathrm{A}$ can be corrected by turning it once (see drawing). How often does he have to turn so that the word KANGAROO can be read correctly?

[]

6

2D Transformation

MathVision

Arno lays out the word KANGAROO using 8 cards. However, some cards are turned. <image_1> By turning it twice the letter $\mathrm{K}$ can be corrected, letter $\mathrm{A}$ can be corrected by turning it once (see drawing). How often does he have to turn so that the word KANGAROO can be read correctly?

Math_96

Which square has to replace the question mark so that the white area and the black area are equally big? <image_1>

[ "(A)", "(B)", "(C)", "(D)", "(E)" ]

B

2D Transformation

MathVision

Which square has to replace the question mark so that the white area and the black area are equally big? < Options: (A) (B) (C) (D) (E)

Math_97

A square can be made out of four of the given pieces. Which piece will not be used? <image_1>

[ "A", "B", "C", "D", "E" ]

B

2D Transformation

MathVision

A square can be made out of four of the given pieces. Which piece will not be used? < Options: A B C D E

Math_98

Peter looks at the picture hanging on the wall in more detail through a magnifying glass. Which section can he not see? <image_1>

[ "A", "B", "C", "D", "E" ]

E

2D Transformation

MathVision

Peter looks at the picture hanging on the wall in more detail through a magnifying glass. Which section can he not see? < Options: A B C D E

Math_99

Bart sits at the hairdressers. In the mirror he sees a clock as shown in the diagram: What was the mirror image of the clock 10 minutes earlier? <image_1>

[ "(A)", "(B)", "(C)", "(D)", "(E)" ]

E

2D Transformation

MathVision

Bart sits at the hairdressers. In the mirror he sees a clock as shown in the diagram: What was the mirror image of the clock 10 minutes earlier? < Options: (A) (B) (C) (D) (E)

Math_100

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? <image_1>

[]

9

2D Transformation

MathVision

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? <