Yuting6/geoqa-r1v-8k-rotated huggingface dataset:
Problem: <image>Question: In the picture on the right we see an L-shaped object which is made up of four squares. We would like to add another equally big square so that the new object has a line of symmetry. How many ways are there to achieve this?
<image1>
Answer: 3
Problem: <image>Question: Fridolin the hamster runs through the maze shown on the right. On the path there are 16 pumpkin seeds. He is only allowed to cross each junction once. What is the maximum number of pumpkin seeds that he can collect?
<image1>
Answer: 13
Problem: <image>Question: Each area in the picture on the right should be coloured using one of the colours, red (R), green (G), blue (B) or orange (O). Areas which touch must be different colours. Which colour is the area marked $X$?
<image1>
Choices:
A. red
B. blue
C. green
D. orange
E. The colour cannot definitely be determined.
Answer: A
Problem: <image>Question: A square piece of paper is cut into six rectangular pieces as shown on the right. The sum of the perimeters of the six pieces is $120 \mathrm{~cm}$. How big is the area of the square?
<image1>
Choices:
A. $48 \mathrm{~cm}^{2}$
B. $64 \mathrm{~cm}^{2}$
C. $110.25 \mathrm{~cm}^{2}$
D. $144 \mathrm{~cm}^{2}$
E. $256 \mathrm{~cm}^{2}$
Answer: D
Problem: <image>Question: The dark line halves the surface area of the dice shown on the right. Which drawing could represent the net of the die?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: Lina has placed two tiles on a square game board. Which one of the 5 counters shown, can she add, so that none of the remaining four counters can be placed anymore?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: On the inside of a square with side length $7 \mathrm{~cm}$ another square is drawn with side length $3 \mathrm{~cm}$. Then a third square with side length $5 \mathrm{~cm}$ is drawn so that it cuts the first two as shown in the picture on the right. How big is the difference between the black area and the grey area?
<image1>
Choices:
A. $0 \mathrm{~cm}^{2}$
B. $10 \mathrm{~cm}^{2}$
C. $11 \mathrm{~cm}^{2}$
D. $15 \mathrm{~cm}^{2}$
E. It can not be decided from the information given.
Answer: D
Problem: <image>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 $\mathrm{x}$?
<image1>
Answer: 37
Problem: <image>Question: A wristwatch lies on the table with its face upwards. The minute hand points towards north-east. How many minutes have to pass for the minute hand to point towards northwest for the first time?
<image1>
Answer: 45
Problem: <image>Question: Eva has a pair a scissors and five letters made from cardboard. She cuts up each letter with a single straight cut so that as many pieces as possible are obtained. For which letter does she obtain the most pieces?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: E
Problem: <image>Question: Each of the nine paths in a park are $100 \mathrm{~m}$ long. Anna wants to walk from $A$ to $B$ without using the same path twice. How long the longest path she can choose?
<image1>
Choices:
A. $900 \mathrm{~m}$
B. $800 \mathrm{~m}$
C. $700 \mathrm{~m}$
D. $500 \mathrm{~m}$
E. $400 \mathrm{~m}$
Answer: C
Problem: <image>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?
<image1>
Answer: 4
Problem: <image>Question: Werner folds a piece of paper as shown in the diagram. With a pair of scissors he makes two straight cuts into the paper. Then is unfolds it again. Which on the following shapes are not possible for the piece of paper to show afterwards?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: A cuboid consists of three building blocks. Each building block has a different colour and is made up of 4 cubes. What does the white building block look like?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D
Problem: <image>Question: Ms. Green plants peas ("Erbsen") and strawberries ("Erdbeeren") only in her garden. This year she has changed her pea-bed into a square-shaped bed by increasing one side by $3 \mathrm{~m}$. By doing this her strawberry-bed became $15 \mathrm{~m}^{2}$ smaller. What area did the pea-bed have before?
<image1>
Choices:
A. $5 \mathrm{~m}^{2}$
B. $9 \mathrm{~m}^{2}$
C. $10 \mathrm{~m}^{2}$
D. $15 \mathrm{~m}^{2}$
E. $18 \mathrm{~m}^{2}$
Answer: C
Problem: <image>Question: Barbara wants to complete the grid shown on the right by inserting three numbers into the empty spaces. The sum of the first three numbers should be 100 , the sum of the middle three numbers 200 and the sum of the last three numbers 300. Which is the middle number in this grid?
<image1>
Answer: 60
Problem: <image>Question: The diagram shows a five-pointed star. How big is the angle $A$?
<image1>
Choices:
A. $35^{\circ}$
B. $42^{\circ}$
C. $51^{\circ}$
D. $65^{\circ}$
E. $109^{\circ}$
Answer: C
Problem: <image>Question: Three equally sized equilateral triangles are cut from the vertices of a large equilateral triangle of side length $6 \mathrm{~cm}$. The three little triangles together have the same perimeter as the remaining grey hexagon. What is the side-length of one side of one small triangle?
<image1>
Choices:
A. $1 \mathrm{~cm}$
B. $1.2 \mathrm{~cm}$
C. $1.25 \mathrm{~cm}$
D. $1.5 \mathrm{~cm}$
E. $2 \mathrm{~cm}$
Answer: D
Problem: <image>Question: The diagram shows the 7 positions $1,2,3,4,5,6,7$ of the bottom side of a die which is rolled around its edge in this order. Which two of these positions were taken up by the same face of the die?
<image1>
Choices:
A. 1 and 7
B. 1 and 6
C. 1 and 5
D. 2 and 7
E. 2 and 6
Answer: B
Problem: <image>Question: In a square $A B C D M$ is the midpoint of $A B$. $M N$ is perpenticular to $A C$. Determine the ratio of the area of the grey triangle to the area of the square $A B C D$.
<image1>
Choices:
A. $1: 6$
B. $1: 5$
C. $7: 36$
D. $3: 16$
E. $7: 40$
Answer: D
Problem: <image>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 length $4 \mathrm{~m}$ and some with length $9 \mathrm{~m}$. Which of the following lengths cannot be the total length of the original piece of string?
<image1>
Choices:
A. $52 \mathrm{~m}$
B. $68 \mathrm{~m}$
C. $72 \mathrm{~m}$
D. $88 \mathrm{~m}$
E. All answers are possible.
Answer: C
Problem: <image>Question: Three lines disect a big triangle into four triangles and three quadrilaterals. The sum of the perimeters of the three quadrialterals is $25 \mathrm{~cm}$. The sum of the perimeters of the four triangles is $20 \mathrm{~cm}$. The perimeter of the big triangle is $19 \mathrm{~cm}$. How big is the sum of the lengths of the three dissecting lines?
<image1>
Choices:
A. $11 \mathrm{~cm}$
B. $12 \mathrm{~cm}$
C. $13 \mathrm{~cm}$
D. $15 \mathrm{~cm}$
E. $16 \mathrm{~cm}$
Answer: C
Problem: <image>Question: Triangle $A B C$ is equilateral and has area 9. The dividing lines are parallel to the sides, and divide the sides into three equal lengths. What is the area of the grey shaded part of the triangle?
<image1>
Answer: 6
Problem: <image>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 possible?
<image1>
Answer: 4
Problem: <image>Question: Anne plays 'sink the ship' with a friend, on a $5 \times 5$ grid. She has already drawn in a $1 \times 1$ ship and a $2 \times 2$ ship (as shown in the picture). She must also draw a (rectangular) $3 \times 1$ ship. Ships may be neither directly nor diagonally adjacent to each other. How many possible positions are there for the $3 \times 1$ ship?
<image1>
Answer: 8
Problem: <image>Question: The five shapes pictured were cut out of paper. Four of them can be folded to form a cube. For which shape is this not possible.
<image1>
Choices:
A. Shape 1
B. Shape 2
C. Shape 3
D. Shape 4
E. Shape 5
Answer: C
Problem: <image>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?
<image1>
Answer: 32
Problem: <image>Question: Johann stacked $1 \times 1$ cubes on the squares of a $4 \times 4$ grid. The diagram on the right shows the number of cubes that were stacked on top of each other above each square. What will Johann see if he looks from the back (hinten) at the tower?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: The sides of the rectangle $A B C D$ are parallel to the co-ordinate axes. The rectangle is positioned below the $x$-axis and to the right of the $y$-axis, as shown in the picture. The co-ordinates of the points $A, B, C, D$ are whole numbers. For each of the points we calculate the value of ( $y$ co-ordinate) $\div$(x co-ordinate). Which of the points will give the smallest value?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. It depends on the rectangle.
Answer: A
Problem: <image>Question: On a sheet of paper a grid is drawn such that each of the squares has sides $2 \mathrm{~cm}$ long. How big is the area of the grey shaded quadrilateral $A B C D$?
<image1>
Choices:
A. $96 \mathrm{~cm}^{2}$
B. $84 \mathrm{~cm}^{2}$
C. $76 \mathrm{~cm}^{2}$
D. $88 \mathrm{~cm}^{2}$
E. $104 \mathrm{~cm}^{2}$
Answer: B
Problem: <image>Question: Each of the 4 vertices and 6 edges of a tetrahedron is labelled with one of the numbers $1,2,3,4,5,6,7,8,9$ and 11. (The number 10 is left out). Each number is only used once. The number on each edge is the sum of the numbers on the two vertices which are connected by that edge. The edge $A B$ has the number 9. With which number is the edge $C D$ labelled?
<image1>
Answer: 5
Problem: <image>Question: Four cars drive into a roundabout at the same point in time, each one coming from a different direction (see diagram). No car drives all the way around the roundabout, and no two cars leave at the same exit. In how many different ways can the cars exit the roundabout?
<image1>
Answer: 9
Problem: <image>Question: How many quadrilaterals of any size are to be found in the diagram pictured.
<image1>
Answer: 4
Problem: <image>Question: The area of rectangle $A B C D$ in the diagram is $10. M$ and $N$ are the midpoints of the sides $A D$ and $B C$ respectively. How big is the area of the quadrilateral $M B N D$?
<image1>
Answer: 5
Problem: <image>Question: Wanda has lots of pages of square paper, whereby each page has an area of 4. She cuts each of the pages into right-angled triangles and squares (see the left hand diagram). She takes a few of these pieces and forms the shape in the right hand diagram. How big is the area of this shape?
<image1>
Answer: 6
Problem: <image>Question: George builds the sculpture shown from seven cubes each of edge length 1. How many more of these cubes must he add to the sculpture so that he builds a large cube of edge length 3?
<image1>
Answer: 20
Problem: <image>Question: Gray and white pearls are threaded onto a string. Tony pulls pearls from the ends of the chain. After pulling off the fifth gray pearl he stops. At most, how many white pearls could he have pulled off?
<image1>
Answer: 7
Problem: <image>Question: Five circles each with an area of $1 \mathrm{~cm}^{2}$ overlap each other to form the figure in the diagram. The sections where two circles overlap, each have an area of $\frac{1}{8} \mathrm{~cm}^{2}$. How big is the area, which is completely covered by the figure in the diagram?
<image1>
Choices:
A. $4 \mathrm{~cm}^{2}$
B. $\frac{9}{2} \mathrm{~cm}^{2}$
C. $\frac{35}{8} \mathrm{~cm}^{2}$
D. $\frac{39}{8} \mathrm{~cm}^{2}$
E. $\frac{19}{4} \mathrm{~cm}^{2}$
Answer: B
Problem: <image>Question: 5 congruent rectangles are positioned in a square with side length 24 as shown in the diagram. How big is the area of one of these rectangles?
<image1>
Choices:
A. $12 \mathrm{~cm}^{2}$
B. $16 \mathrm{~cm}^{2}$
C. $18 \mathrm{~cm}^{2}$
D. $24 \mathrm{~cm}^{2}$
E. $32 \mathrm{~cm}^{2}$
Answer: E
Problem: <image>Question: In the following figure, the heart and the arrow are arranged as pictured. At the same moment the heart and the arrow begin to move. The arrow moves around the figure 3 spaces clockwise and the heart 4 spaces anticlockwise and then they stop. This process repeats itself over and over again. After how many repetitions does the arrow find itself for the first time in the same triangle as the heart?
<image1>
Choices:
A. 7
B. 8
C. 9
D. 10
E. That will never happen
Answer: E
Problem: <image>Question: In triangle $A B C$ (see sketch) $A D$ is the angle bisector of the angle at $A$ and $B H$ is the height from side $A C$. The obtuse angle between $B H$ and $A D$ is four times the size of angle $\angle D A B$. How big is the angle $\angle C A B$?
<image1>
Choices:
A. $30^{\circ}$
B. $45^{\circ}$
C. $60^{\circ}$
D. $75^{\circ}$
E. $90^{\circ}$
Answer: C
Problem: <image>Question: Andy fills a $3 \times 3$ table with all the digits from 1 to 9 so that each cell only contains one digit. He has already put the digits 1, 2, 3 and 4 in the table as shown in the diagram. Two numbers are 'neighbouring' when the cells they are in share one side. After he had finished filling in the table he noticed: The sum of the numbers neighbouring 9 equals 15. How big is the sum of the numbers neighbouring 8?
<image1>
Answer: 27
Problem: <image>Question: The quadrilateral $A B C D$ has right angles only in corners $A$ and $D$. The numbers in the diagram give the respective areas of the triangles in which they are located. How big is the area of $A B C D$?
<image1>
Answer: 45
Problem: <image>Question: Four identical cubes (see diagram) were fitted together. If the resulting shape is viewed from the front you see a black circle (picture on the right). What will you see on the back of the shape?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: On a pond 16 lilly pads are arranged in a $4 \times 4$ grid as can be seen in the diagram. A frog sits on a lilly pad in one of the corners of the grid (see picture). The frog jumps from one lilly pad to another horizontally or vertically. In doing so he always jumps over at least one lilly pad. He never lands on the same lilly pad twice. What is the maximum number of lilly pads, including the one he is sitting on, on which he can land?
<image1>
Answer: 16
Problem: <image>Question: A $5 \times 5$ square is covered with $1 \times 1$ tiles. The design on each tile is made up of three dark triangles and one light triangle (see diagram). The triangles of neighbouring tiles always have the same colour where they join along an edge. The border of the large square is made of dark and light triangles. What is the smallest number of dark triangles that could be amongst them?
<image1>
Answer: 5
Problem: <image>Question: The word KANGAROO is written on the top of my umbrella. Which of the following pictures shows my umbrella?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: E
Problem: <image>Question: The diagram shows the net of a cube whose faces are numbered. Sascha adds the numbers that are on opposite faces of the cube. Which three results does he get?
<image1>
Choices:
A. $4,6,11$
B. $4,5,12$
C. $5,6,10$
D. $5,7,9$
E. $5,8,8$
Answer: A
Problem: <image>Question: The diagram shows the net of a three-sided prism. Which line of the diagram forms an edge of the prism together with line UV when the net is folded up?
<image1>
Choices:
A. WV
B. XW
C. XY
D. QR
E. RS
Answer: C
Problem: <image>Question: When simon the squirrel comes down from his tree onto the floor, he never moves further than $5 \mathrm{~m}$ away from the trunk of his tree. Furthermore, he stays at least $5 \mathrm{~m}$ away from the dog kennel. Which picture shows most accurately the area in which Simon can be found?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: C
Problem: <image>Question: One corner of a square piece of paper is folded into the middle of the square That way an irregular pentagon is created. The numerical values of the areas of the Pentagon and the square are consecutive whole numbers. What is the area of the square?
<image1>
Answer: 8
Problem: <image>Question: The diagram consists of three squares each one of side length 1. The midpoint of the topmost square is exactly above the common side of the two other squares. What is the area of the section coloured grey?
<image1>
Answer: 1
Problem: <image>Question: A bush has 10 twigs. Each twig has exactly 5 leaves or exactly 2 leaves and a flower. Which of the following numbers could be the total number of leaves on the bush?
<image1>
Choices:
A. 45
B. 39
C. 37
D. 31
E. None of the numbers from (A) to (D)
Answer: E
Problem: <image>Question: Each side of each triangle in the diagram is painted either blue, green or red. Four of the sides are already painted. Which colour can the line marked "x" have, if each triangle must have all sides in different colours?
<image1>
Choices:
A. only green
B. only red
C. only blue
D. either red or blue
E. The question cannot be solved.
Answer: A
Problem: <image>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?
<image1>
Choices:
A. a
B. b
C. c
D. d
E. e
Answer: D
Problem: <image>Question: Riki wants to write one number in each of the seven sections of the diagram pictured. Two zones are adjacent if they share a part of their outline. The number in each zone should be the sum of all numbers of its adjacent zones. Riki has already placed numbers in two zones. Which number does she need to write in the zone marked "?".
<image1>
Answer: 6
Problem: <image>Question: Florian has seven pieces of wire of lengths $1 \mathrm{~cm}, 2 \mathrm{~cm}, 3 \mathrm{~cm}, 4 \mathrm{~cm}, 5 \mathrm{~cm}, 6 \mathrm{~cm}$ and $7 \mathrm{~cm}$. He uses some of those pieces to form a wire model of a cube with side length 1. He does not want any overlapping wire parts. What is the smallest number of wire pieces that he can use?
<image1>
Answer: 4
Problem: <image>Question: In the trapezium $P Q R S$ the sides $P Q$ and $S R$ are parallel. Also $\angle \mathrm{RSP}=120^{\circ}$ and $\overline{R S}=\overline{S P}=\frac{1}{3} \overline{P Q}$. What is the size of angle $\angle \mathrm{PQR}$ ?
<image1>
Choices:
A. $15^{\circ}$
B. $22.5^{\circ}$
C. $25^{\circ}$
D. $30^{\circ}$
E. $45^{\circ}$
Answer: D
Problem: <image>Question: Which of the road signs has the most axes of symmetry?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: What is the sum of the two marked angles?
<image1>
Choices:
A. $150^{\circ}$
B. $180^{\circ}$
C. $270^{\circ}$
D. $320^{\circ}$
E. $360^{\circ}$
Answer: C
Problem: <image>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?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: B
Problem: <image>Question: In the rectangle $A B C D$ the side $A D$ is $10 \mathrm{~cm}$ long. $M$ and $N$ are the midpoints of the sides $A B$ and $C D$ respectively. How big is the grey area?
<image1>
Choices:
A. $50 \mathrm{~cm}^{2}$
B. $80 \mathrm{~cm}^{2}$
C. $100 \mathrm{~cm}^{2}$
D. $120 \mathrm{~cm}^{2}$
E. $150 \mathrm{~cm}^{2}$
Answer: C
Problem: <image>Question: During a cycle race starting at $D$ and finishing at $B$ every connecting road (between the towns $A, B, C$ and $D$ ) that is shown in the diagram will be ridden along exactly once. How many possible routes are there for the race?
<image1>
Answer: 6
Problem: <image>Question: Within the square $A B C D$ there are four identical rectangles (see diagram). The perimeter of each rectangle is $16 \mathrm{~cm}$. What is the perimeter of this
square?
<image1>square?
Choices:
A. $16 \mathrm{~cm}$
B. $20 \mathrm{~cm}$
C. $24 \mathrm{~cm}$
D. $28 \mathrm{~cm}$
E. $32 \mathrm{~cm}$
Answer: E
Problem: <image>Question: Anne has glued together some cubes and has obtained the solid shown on the right. She turns it around to check it out from different sides. Which view can she not obtain?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: A $3 \mathrm{~cm}$ wide strip of paper is dark on one side and light on the other. The folded strip of paper lies exactly within a rectangle with length $27 \mathrm{~cm}$ and width $9 \mathrm{~cm}$ (see diagram). How long is the strip of paper?
<image1>
Choices:
A. $36 \mathrm{~cm}$
B. $48 \mathrm{~cm}$
C. $54 \mathrm{~cm}$
D. $57 \mathrm{~cm}$
E. $81 \mathrm{~cm}$
Answer: D
Problem: <image>Question: Seven identical dice (each with 1, 2, 3, 4, 5 and 6 points on their faces) are glued together to form the solid shown. Faces that are glued together each have the same number of points. How many points can be seen on the surface of the solid?
<image1>
Answer: 105
Problem: <image>Question: In a square with area 36 there are grey parts as shown in the diagram. The sum of the areas of all grey parts is 27. How long are the distances $a, b, c$ and $d$ together?
<image1>
Answer: 9
Problem: <image>Question: A big cube is made up of 64 small cubes. Exactly one of these cubes is grey (see diagram). Two cubes are neighbours if they share a common face. On day one the grey cube colours all its neighbouring cubes grey. On day two all grey cubes again colour all their neighbouring cubes grey. How many of the 64 little cubes are grey at the end of the second day?
<image1>
Answer: 17
Problem: <image>Question: The diagram shows a pentagon and indicates the length of each side. Five circles are drawn with centres A, B, C, D and E. On each side of the pentagon the two circles that are drawn around the ends of that side touch each other. Which point is the centre of the biggest circle?
<image1>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: Susi writes a different positive whole number on each of the 14 cubes of the pyramid (see diagram). The sum of the numbers, which she writes on the nine cubes that lie on the bottom, is 50. The number on every remaining cube is equal to the sum of the numbers of the four cubes that are directly underneath. What is the biggest number that can be written on the topmost cube?
<image1>
Answer: 118
Problem: <image>Question: A cube of side length 3 consists of 15 black and 12 white unit cubes. In the diagram five of the six faces of the big cube can be seen. Which of the regions shown below is the 6th face of the big cube?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: A
Problem: <image>Question: The diagram shows an isosceles triangle, where the height is marked and its area is split up into equally wide white and grey stripes. Which fraction of the area of the triangle is white?
<image1>
Choices:
A. $\frac{1}{2}$
B. $\frac{1}{3}$
C. $\frac{2}{3}$
D. $\frac{3}{4}$
E. $\frac{2}{5}$
Answer: A
Problem: <image>Question: The diagram shows two rectangles whose sides are parallel to each other. By how much is the perimeter of the bigger rectangle greater than the perimeter of the smaller rectangle?
<image1>
Choices:
A. $12 \mathrm{~m}$
B. $16 \mathrm{~m}$
C. $20 \mathrm{~m}$
D. $21 \mathrm{~m}$
E. $24 \mathrm{~m}$
Answer: E
Problem: <image>Question: Paul folds a piece of paper, then punches a hole into the paper and unfolds it again. The unfolded paper then looks like the picture on the right. Along which dotted line can Paul have folded the paper beforehand?
<image1>
<image2>
Choices:
A. A
B. B
C. C
D. D
E. E
Answer: D