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409 | deductive | MathVision/test_000409.png | In this picture there is what I saw on four different clocks at the same time. Only one of them had the right time. One was 20 minutes fast. Another 20 minutes slow. One had stopped some time ago.
<image1>
What was the right time?
Select only from the following 4 options:
B. 5:05
C. 5:25
D. 5:40
E. 12:00 | B | logic | B. 5:05
C. 5:25
D. 5:40
E. 12:00 |
412 | deductive | MathVision/test_000412.png | There are five houses on Color Street: a blue, a red, a yellow, a pink, and a green one. The houses are numbered from 1 to 5 (see picture). The red house is the neighbor of the blue house only. The blue house stands between the green and red houses.
<image1>
Which color is the house with number 3?
Select only from the following 4 options:
B. Red
C. Yellow
D. Pink
E. Green | E | logic | B. Red
C. Yellow
D. Pink
E. Green |
416 | Quantitative Reasoning | MathVision/test_000416.png | 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?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
E | A | arithmetic | A
B
C
E |
425 | spatial | MathVision/test_000425.png | Which of the following cubes has been folded out of the plan on the right?
<image1>
<image2>
Select only from the following 4 options:
A
C
D
E | E | descriptive geometry | A
C
D
E |
428 | algorithmic | MathVision/test_000428.png | A kangaroo enters a building. He only passes through triangular rooms. Where does he leave the building?
<image1>
Select only from the following 4 options:
A. a
B. b
C. c
D. d | E | graph theory | A. a
B. b
C. c
D. d |
439 | algorithmic | MathVision/test_000439.png | Zita walks from left to right and puts the numbers into her basket. Which of the following numbers can be in her basket?
<image1>
Select only from the following 4 options:
A. 1, 2 and 4
C. 2, 3 and 5
D. 1, 5 and 6
E. 1, 2 and 5 | C | graph theory | A. 1, 2 and 4
C. 2, 3 and 5
D. 1, 5 and 6
E. 1, 2 and 5 |
440 | Quantitative Reasoning | MathVision/test_000440.png | In which figure can you find the largest number of small squares?
<image1>
Select only from the following 4 options:
A
C
D
E | C | counting | A
C
D
E |
453 | Quantitative Reasoning | MathVision/test_000453.png | Which of the figures is shown most often in the sequence?
<image1>
<image2>
Select only from the following 4 options:
A
C
D
E | D | counting | A
C
D
E |
457 | spatial | MathVision/test_000457.png | One of the cube faces is cut along its diagonals (see the fig.). Which two of the following nets are impossible?
<image1>
<image2>
Select only from the following 4 options:
A. 1 and 3
C. 3 and 4
D. 3 and 5
E. 2 and 4 | D | descriptive geometry | A. 1 and 3
C. 3 and 4
D. 3 and 5
E. 2 and 4 |
467 | algorithmic | MathVision/test_000467.png | In the picture on the right you see a map. In the middle a piece is missing. The cat should be able to reach the milk, and the mouse the cheese, but the cat and the mouse must not meet each other. What should the piece in the middle look like?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
E | E | graph theory | A
B
C
E |
468 | Quantitative Reasoning | MathVision/test_000468.png | Which square contains 3 quadrilaterals, 3 circles and 4 hearts?
<image1>
Select only from the following 4 options:
A. A)
B. B)
D. D)
E. E) | D | counting | A. A)
B. B)
D. D)
E. E) |
475 | Quantitative Reasoning | MathVision/test_000475.png | Which stone should Mr Flintstone place on the right side of the scales, so that both sides weigh the same?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
E | C | arithmetic | A
B
C
E |
477 | deductive | MathVision/test_000477.png | Maria describes one of these five shapes in the following way: "It is not a square. It is grey. It is either round or three sided." Which shape did she describe?
<image1>
Select only from the following 4 options:
B
C
D
E | B | logic | B
C
D
E |
478 | Quantitative Reasoning | MathVision/test_000478.png | Which shape has the biggest area?
<image1>
Select only from the following 4 options:
A
B
C
E | C | counting | A
B
C
E |
481 | Quantitative Reasoning | MathVision/test_000481.png | How often in a day does a digital clock display four identical digits? The picture shows a digital clock that is displaying exactly two different digits.
<image1>
Select only from the following 4 options:
A. 1 time
C. 3 times
D. 5 times
E. 12 times | C | counting | A. 1 time
C. 3 times
D. 5 times
E. 12 times |
482 | spatial | MathVision/test_000482.png | Four identical dice were put together to make a tower as shown. The sum of the numbers on opposite faces of each dice is always 7. What would the tower look like from behind?
<image1>
<image2>
Select only from the following 4 options:
B. B)
C. C)
D. D)
E. E) | C | descriptive geometry | B. B)
C. C)
D. D)
E. E) |
491 | Quantitative Reasoning | MathVision/test_000491.png | Mike and Jake play darts. Each of them throws three darts. Who won, and by how many points?
Mike: <image1>
Jake: <image2>
Select only from the following 4 options:
A. Mike won. He had 3 points more.
C. Mike won. He had 2 points more.
D. Jake won. He had 2 points more.
E. Mike won. He had 4 points more. | E | arithmetic | A. Mike won. He had 3 points more.
C. Mike won. He had 2 points more.
D. Jake won. He had 2 points more.
E. Mike won. He had 4 points more. |
494 | spatial | MathVision/test_000494.png | You need 3 pieces to build this shape. Each piece is made out of 4 , equally sized cubes of the same colour. What is the shape of the white piece?
<image1>
<image2>
Select only from the following 4 options:
A. (A)
C. (C)
D. (D)
E. (E) | D | descriptive geometry | A. (A)
C. (C)
D. (D)
E. (E) |
499 | Quantitative Reasoning | MathVision/test_000499.png | In which picture are there more black Kangaroos than white ones?
<image1>
Select only from the following 4 options:
A
B
C
D | D | counting | A
B
C
D |
500 | deductive | MathVision/test_000500.png | Anna has <image1>.
Barbara gave Eva <image2>.
Josef has a <image3>.
Bob has <image4>.
Who is Barbara?
<image5>
Select only from the following 4 options:
A
B
D
E | D | logic | A
B
D
E |
501 | algorithmic | MathVision/test_000501.png | Anna starts in the direction of the arrow. At each crossing she turns either right or left. At the first crossing she turns right, at the next left, then left again, then right, then left and left again. What will she find at the next crossing that she comes to?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
E | A | graph theory | A
B
C
E |
510 | Quantitative Reasoning | MathVision/test_000510.png | Luisa draws a star. She cuts a piece out of the middle of the drawing. What does this piece look like?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
D | D | counting | A
B
C
D |
512 | Quantitative Reasoning | MathVision/test_000512.png | Christopher solved the sums next to the dots that you can see on the right, and got the answers 0 to 5 . He joined the dots in order. He started with the dot that had the answer 0 and finished with the dot that had the answer 5 . Which shape was he left with?
<image1>
<image2>
Select only from the following 4 options:
A. (A)
B. (B)
C. (C)
E. (E) | A | arithmetic | A. (A)
B. (B)
C. (C)
E. (E) |
513 | spatial | MathVision/test_000513.png | 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?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
E | E | descriptive geometry | A
B
C
E |
515 | spatial | MathVision/test_000515.png | The solid in the diagram is made out of 8 identical cubes. What does the solid look like when viewed from above?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
D | C | descriptive geometry | A
B
C
D |
517 | Quantitative Reasoning | MathVision/test_000517.png | Katja throws darts at the target pictured on the right. If she does not hit the target she gets no points. She throws twice and adds her points. What can her total not be?
<image1>
Select only from the following 4 options:
B. 70
C. 80
D. 90
E. 100 | D | arithmetic | B. 70
C. 80
D. 90
E. 100 |
521 | deductive | MathVision/test_000521.png | Seven children stand in a circle. Nowhere are two boys found standing next to each other. Nowhere are three girls found standing next to each other. What is possible for the number of girls? The number of girls can...
<image1>
Select only from the following 4 options:
B. ... be 3 or 4.
C. ... be 4 or 5.
D. ... only be 5.
E. ... only be 4. | C | logic | B. ... be 3 or 4.
C. ... be 4 or 5.
D. ... only be 5.
E. ... only be 4. |
529 | Quantitative Reasoning | MathVision/test_000529.png | Florian has 10 identical metal strips, each with the same amount of holes (picture above). He bolts these strips in pairs. That way he gets the 5 long strips in the picture below. Which of the long strips is the longest?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
E | A | arithmetic | A
B
C
E |
530 | Quantitative Reasoning | MathVision/test_000530.png | In kangaroo land you pay with "Kangas". Lucy has a few Kangas in her purse. She buys a ball and pays 7 Kangas. How many Kangas does she have left over, after she has paid fort he ball?
<image1>
<image2>
Select only from the following 4 options:
B
C
D
E | B | arithmetic | B
C
D
E |
532 | spatial | MathVision/test_000532.png | The word Kangaroo is written on the top of my umbrella. Which of the 5 pictures shows my umbrella
<image1>
<image2>
Select only from the following 4 options:
A
B
C
E | A | descriptive geometry | A
B
C
E |
537 | algorithmic | MathVision/test_000537.png | Peter rides his bike along a cycle path in a park. He starts at point $S$ and rides in the direction of the arrow. At the first crossing he turns right, then at the next left, and then again to the right and then again to left. Which crossing does he not reach?
<image1>
Select only from the following 4 options:
A
B
C
D | D | graph theory | A
B
C
D |
547 | Quantitative Reasoning | MathVision/test_000547.png | Amy, Bert, Carl, Doris and Ernst each throw two dice. Who has got the biggest total altogether?
<image1>
Select only from the following 4 options:
A. Amy
B. Bert
C. Carl
E. Ernst | E | arithmetic | A. Amy
B. Bert
C. Carl
E. Ernst |
549 | spatial | MathVision/test_000549.png | Clown Pipo looks like this:
<image1>
He looks at himself in the mirror. Which picture does he see?
<image2>
Select only from the following 4 options:
A
B
C
D | A | descriptive geometry | A
B
C
D |
550 | Quantitative Reasoning | MathVision/test_000550.png | Georg goes to the circus with his father. They have the seat numbers 71 and 72 . Which arrow do they have to follow to get to their seats?
<image1>
<image2>
Select only from the following 4 options:
A. (A)
B. (B)
C. (C)
E. (E) | D | arithmetic | A. (A)
B. (B)
C. (C)
E. (E) |
551 | spatial | MathVision/test_000551.png | Part of a rectangle is hidden by a curtain. The hidden part is a
<image1>
Select only from the following 4 options:
A. triangle
B. square
C. hexagon
D. circle | A | descriptive geometry | A. triangle
B. square
C. hexagon
D. circle |
552 | Quantitative Reasoning | MathVision/test_000552.png | Which of the following sentences fits to the picture?
<image1>
Select only from the following 4 options:
A. There are equally many circles as squares.
B. There are fewer circles than triangles.
C. There are twice as many circles as triangles.
E. There are two more triangles than circles. | C | counting | A. There are equally many circles as squares.
B. There are fewer circles than triangles.
C. There are twice as many circles as triangles.
E. There are two more triangles than circles. |
561 | deductive | MathVision/test_000561.png | Five sparrows on a rope look in one or the other direction (see diagram). Every sparrow whistles as many times as the number of sparrows he can see in front of him. Azra therefore whistles four times. Then one sparrow turns in the opposite direction and again all sparrows whistle according to the same rule. The second time the sparrows whistle more often in total than the first time. Which sparrow has turned around?
<image1>
Select only from the following 4 options:
A. Azra
B. Bernhard
C. Christa
E. Elsa | B | logic | A. Azra
B. Bernhard
C. Christa
E. Elsa |
564 | spatial | MathVision/test_000564.png | Two square sheets are made up of seethrough and black little squares. Both are placed on top of each other onto the sheet in the middle. Which shape can then still be seen?
<image1>
<image2>
Select only from the following 4 options:
A. (A)
C. (C)
D. (D)
E. (E) | E | descriptive geometry | A. (A)
C. (C)
D. (D)
E. (E) |
569 | spatial | MathVision/test_000569.png | This picture shows you Anna's house from the front: At the back it has three windows but no door. Which picture shows Anna's house from the back?
<image1>
<image2>
Select only from the following 4 options:
A
B
D
E | E | descriptive geometry | A
B
D
E |
587 | deductive | MathVision/test_000587.png | <image1>
Albert places these 5 figures <image2>, <image3>, <image4>, <image5>, <image6> on a 5x5-grid. Each figure is only allowed to appear once in every column and in every row. Which figure does Albert have to place on the field with the question mark?
<image7>
Select only from the following 4 options:
A
B
C
D | A | logic | A
B
C
D |
590 | Quantitative Reasoning | MathVision/test_000590.png | <image1>
Felix the rabbit has 20 carrots. Every day he eats 2 of them. He has eaten the 12th carrot on a Wednesday. On which day of the week did he start eating the carrots?
Select only from the following 4 options:
A. Monday
B. Tuesday
C. Wednesday
D. Thursday | E | arithmetic | A. Monday
B. Tuesday
C. Wednesday
D. Thursday |
595 | algorithmic | MathVision/test_000595.png | The rooms in Kanga's house are numbered. Eva enters the house through the main entrance. Eva has to walk through the rooms in such a way that each room that she enters has a number higher than the previous one. Through which door does Eva leave the house?
<image1>
Select only from the following 4 options:
A
B
C
D | D | graph theory | A
B
C
D |
597 | Quantitative Reasoning | MathVision/test_000597.png | A belt can be joined together in 5 different ways.
<image1>
How many $\mathrm{cm}$ is the belt longer if it is only closed in the first hole instead of in all 5 holes?
<image2>
Select only from the following 4 options:
A. $4 \mathrm{~cm}$
B. $8 \mathrm{~cm}$
C. $10 \mathrm{~cm}$
E. $20 \mathrm{~cm}$ | B | arithmetic | A. $4 \mathrm{~cm}$
B. $8 \mathrm{~cm}$
C. $10 \mathrm{~cm}$
E. $20 \mathrm{~cm}$ |
599 | deductive | MathVision/test_000599.png | Lea should write the numbers 1 to 7 in the fields of the given figure. There is only one number allowed in every field. Two consecutive numbers are not allowed to be in adjacent fields. Two fields are adjacent if they have one edge or one corner in common. Which numbers can she write into the field with the question mark?
<image1>
Select only from the following 4 options:
B. only odd numbers
C. only even numbers
D. the number 4
E. the numbers 1 or 7 | E | logic | B. only odd numbers
C. only even numbers
D. the number 4
E. the numbers 1 or 7 |
600 | deductive | MathVision/test_000600.png | Each of the four balls weighs either 10 or 20 or 30 or 40 grams. Which ball weighs 30 grams?
<image1>
Select only from the following 4 options:
B. B
C. C
D. D
E. It can be A or B. | C | logic | B. B
C. C
D. D
E. It can be A or B. |
602 | Quantitative Reasoning | MathVision/test_000602.png | The diagram <image1> shows the number 8. A dot stands for the number 1 and a line for the number 5. Which diagram represents the number 12?
<image2>
Select only from the following 4 options:
A. (A)
C. (C)
D. (D)
E. (E) | C | arithmetic | A. (A)
C. (C)
D. (D)
E. (E) |
603 | spatial | MathVision/test_000603.png | There are two holes in the cover of a book. The book lies on the table opened up (see diagram).
<image1>
After closing up the book which vehicles can Olaf see?
<image2>
Select only from the following 4 options:
A
B
C
D | D | descriptive geometry | A
B
C
D |
604 | spatial | MathVision/test_000604.png | Three people walked through the snow in their winter boots. In which order did they walk through the snow?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
E | A | descriptive geometry | A
B
C
E |
617 | spatial | MathVision/test_000617.png | Six paper strips are used to weave a pattern (see diagram). What do you see when you look at the pattern from behind?
<image1>
<image2>
Select only from the following 4 options:
A
C
D
E | C | descriptive geometry | A
C
D
E |
620 | algorithmic | MathVision/test_000620.png | A mushroom grows up every day. For five days Maria took a picture of this mushroom, but she wrongly ordered the photos beside. What is the sequence of photos that correctly shows the mushroom growth, from left to right?
<image1>
Select only from the following 4 options:
A. 2-5-3-1-4
B. 2-3-4-5-1
C. 5-4-3-2-1
D. 1-2-3-4-5 | A | combinatorics | A. 2-5-3-1-4
B. 2-3-4-5-1
C. 5-4-3-2-1
D. 1-2-3-4-5 |
621 | Quantitative Reasoning | MathVision/test_000621.png | John paints the squares of the board next to it if the result of the calculation inside them is 24. How did the painting of the board look?
\begin{tabular}{|l|l|l|}
\hline $28-4$ & $4 \times 6$ & $18+6$ \\
\hline $19+6$ & $8 \times 3$ & $29-6$ \\
\hline
\end{tabular}
<image1>
Select only from the following 4 options:
B
C
D
E | C | arithmetic | B
C
D
E |
623 | deductive | MathVision/test_000623.png | Eli drew a board on the floor with nine squares and wrote a number on each of them, starting from 1 and adding 3 units to each new number he wrote, until he filled the board. In the picture, three of the numbers that Eli wrote appear. Which number below can be one of the numbers she wrote in the colored box?
<image1>
Select only from the following 4 options:
B. 14
C. 17
D. 20
E. 22 | E | logic | B. 14
C. 17
D. 20
E. 22 |
625 | Quantitative Reasoning | MathVision/test_000625.png | Five children should paint three quarters of the total amount of the little squares on their trays. One of the children A, B, C, D or E was wrong. Which one?
<image1>
Select only from the following 4 options:
A
C
D
E | C | counting | A
C
D
E |
627 | spatial | MathVision/test_000627.png | Janaína made the construction on a grid, using some lighted colored cubes and others darker. Looking from above the construction, what can she see?
<image1>
<image2>
Select only from the following 4 options:
A
B
D
E | B | descriptive geometry | A
B
D
E |
632 | spatial | MathVision/test_000632.png | Julia drew the picture on the side of a cardboard sheet, cut, folded and glued to form a cube. Which of the cubes below can be the one she did?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
E | A | descriptive geometry | A
B
C
E |
644 | Quantitative Reasoning | MathVision/test_000644.png | Five boys competed in a shooting challenge. Ricky scored the most points. Which target was Ricky's?
<image1>
Select only from the following 4 options:
A
B
D
E | E | arithmetic | A
B
D
E |
647 | algorithmic | MathVision/test_000647.png | Nisa has 3 different types of cards in a game: apple <image1>, cherry <image2> and grapes <image3>. She chooses 2 cards from the set and swaps their places. She wants to arrange the cards so that all the cards with the same fruit on are next to each other. For which set is this NOT possible?
<image4>
Select only from the following 4 options:
A
B
C
D | A | combinatorics | A
B
C
D |
648 | deductive | MathVision/test_000648.png | Sofie wants to pick 5 different shapes from the boxes. She can only pick 1 shape from each box. Which shape must she pick from box 4?
<image1>
<image2>
Select only from the following 4 options:
A. (A)
B. (B)
D. (D)
E. (E) | E | logic | A. (A)
B. (B)
D. (D)
E. (E) |
650 | Quantitative Reasoning | MathVision/test_000650.png | The 5 balls shown begin to move simultaneously in the directions indicated by their arrows.
<image1>
When two balls going in opposite directions collide, the bigger ball swallows the smaller one and increases its value by the value of the smaller ball. The bigger ball continues to move in its original direction, as shown in the following example.
<image2>
What is the final result of the collisions of the 5 balls shown?
<image3>
Select only from the following 4 options:
A
B
C
E | C | arithmetic | A
B
C
E |
652 | algorithmic | MathVision/test_000652.png | 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?
<image1>
<image2>
Select only from the following 4 options:
A. (A)
B. (B)
D. (D)
E. (E) | B | graph theory | A. (A)
B. (B)
D. (D)
E. (E) |
654 | Quantitative Reasoning | MathVision/test_000654.png | 7 cards are arranged as shown. Each card has 2 numbers on with 1 of them written upside down. The teacher wants to rearrange the cards so that the sum of the numbers in the top row is the same as the sum of the numbers in the bottom row. She can do this by turning one of the cards upside down. Which card must she turn?
<image1>
Select only from the following 4 options:
A. A
B. B
C. D
E. G | E | arithmetic | A. A
B. B
C. D
E. G |
661 | deductive | MathVision/test_000661.png | One of the five coins $A, B, C, D$ or $E$ shall be placed in an empty square so that there are exactly two coins in each row and in each column. Which coin should be moved?
<image1>
Select only from the following 4 options:
B
C
D
E | C | logic | B
C
D
E |
664 | Quantitative Reasoning | MathVision/test_000664.png | 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?
<image1>
<image2>
Select only from the following 4 options:
B. (B)
C. (C)
D. (D)
E. (E) | D | arithmetic | B. (B)
C. (C)
D. (D)
E. (E) |
665 | spatial | MathVision/test_000665.png | John uses some building blocks to form a work of art. What does John see when he looks at his work of art from above?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
D | C | descriptive geometry | A
B
C
D |
671 | deductive | MathVision/test_000671.png | Jan sends five postcards to his friends during his holiday.
The card for Michael does not have ducks.
The card for Lexi shows a dog.
The card for Clara shows the sun.
The card for Heidi shows kangaroos.
The card for Paula shows exactly two animals.
Which card does Jan send to Michael?
<image1>
Select only from the following 4 options:
A
B
D
E | A | logic | A
B
D
E |
675 | algorithmic | MathVision/test_000675.png | A road leads away from each of the six houses (see diagram). A hexagon showing the roads in the middle is however, missing. Which hexagons fit in the middle so
<image1>that one can travel from $A$ to $B$ and to $E$, but not to $D$?
Select only from the following 4 options:
B. 1 and 4
C. 1 and 5
D. 2 and 3
E. 4 and 5 | C | graph theory | B. 1 and 4
C. 1 and 5
D. 2 and 3
E. 4 and 5 |
679 | algorithmic | MathVision/test_000679.png | Five children each light a candle at the same time. Lisa blows out the candles at different times. Now they look as shown in the picture.
<image1>
Which candle did Lisa blow out first?
Select only from the following 4 options:
B
C
D
E | D | combinatorics | B
C
D
E |
684 | spatial | MathVision/test_000684.png | Christoph folds a see-through piece of foil along the dashed line. What can he then see?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
D | A | descriptive geometry | A
B
C
D |
696 | Quantitative Reasoning | MathVision/test_000696.png | Five clocks are hanging on the wall. One clock is one hour ahead. Another one is one hour late and one is correct. Two clocks have stopped working. Which clock shows the correct time?
<image1>
Select only from the following 4 options:
B
C
D
E | D | arithmetic | B
C
D
E |
700 | deductive | MathVision/test_000700.png | Maria colours exactly 5 cells of this grid <image1> in grey. Then she has her 5 friends guess which cells she has coloured in and their answers are the five patterns $A, B, C, D$ and $E$. Maria looks at the patterns and says: "One of you is right. The others have each guessed exactly four cells correctly." Which pattern did Maria paint?
<image2>
Select only from the following 4 options:
B
C
D
E | E | logic | B
C
D
E |
717 | spatial | MathVision/test_000717.png | We have cut off one corner of a cube. Which of the developments below is the development of the remaining part?
<image1>
<image2>
Select only from the following 4 options:
B
C
D
E | E | descriptive geometry | B
C
D
E |
734 | spatial | MathVision/test_000734.png | A paper in the shape of a regular hexagon, as the one shown, is folded in such a way that the three marked corners touch each other at the centre of the hexagon. What is the obtained figure?
<image1>
Select only from the following 4 options:
A. Six corner star
B. Dodecagon
D. Square
E. Triangle | E | descriptive geometry | A. Six corner star
B. Dodecagon
D. Square
E. Triangle |
742 | spatial | MathVision/test_000742.png | On the faces of a cube are written letters. First figure represents one possibility of its net. What letter should be written instead of the question mark in the other version of its net?
<image1>
Select only from the following 4 options:
A. A
B. B
D. E
E. Impossible to determine | D | descriptive geometry | A. A
B. B
D. E
E. Impossible to determine |
744 | algorithmic | MathVision/test_000744.png | The robot starts walking over white cells of the table from the cell A2 in the direction of the arrow, as shown in the picture. It goes always forward. If it meets an obstacle (a black cell or the border of the table), it turns right. The robot stops in case, it cannot go forward after turning right (i.e., it stops in the cell where the obstacles appear in front of him and on the right). In which cell will it stop?
<image1>
Select only from the following 4 options:
A. B2
B. B1
C. A1
D. D1 | D | graph theory | A. B2
B. B1
C. A1
D. D1 |
745 | algorithmic | MathVision/test_000745.png | The carpenter's machine can perform two operations: $\mathrm{P}$ and $\mathrm{T}$. The operation $\mathrm{P}$ is "printing" and $\mathrm{T}$ is "turning" (see the figure). What is the right sequence of operations to obtain <image1> starting from <image2>?
<image3>
Select only from the following 4 options:
A. TTP
B. PTT
D. TPP
E. TPTTT | B | graph theory | A. TTP
B. PTT
D. TPP
E. TPTTT |
746 | spatial | MathVision/test_000746.png | Diagonals are drawn in three adjacent faces of a cube as shown in the picture. Which of the following nets is that of the given cube?
<image1>
<image2>
Select only from the following 4 options:
A
B
C
D | D | descriptive geometry | A
B
C
D |
761 | deductive | MathVision/test_000761.png | There are 5 boxes and each box contains some cards labeled K, M, H, P, T, as shown below. Peter wants to remove cards out of each box so that at the end each box contained only one card, and different boxes contained cards with different letters. Which card remains in the first box?
<image1>
Select only from the following 4 options:
B. T
C. M
D. H
E. P | D | logic | B. T
C. M
D. H
E. P |
763 | algorithmic | MathVision/test_000763.png | A river starts at point $A$. As it flows the river splits into two. One branch takes $\frac{1}{3}$ of the water and the second takes the rest. Later the second branch splits into two, one taking $\frac{3}{4}$ of the branch's water, the other the rest. The map below shows the situation. What part of the original water flows at the point $B$?
<image1>
Select only from the following 4 options:
A. $\frac{1}{4}$
B. $\frac{2}{9}$
C. $\frac{1}{2}$
E. Cannot be determined | D | graph theory | A. $\frac{1}{4}$
B. $\frac{2}{9}$
C. $\frac{1}{2}$
E. Cannot be determined |
765 | spatial | MathVision/test_000765.png | Which of the "buildings" A-E, each consisting of 5 cubes, cannot be obtained from the building on the right, if you are allowed to move only one cube?
<image1>
<image2>
Select only from the following 4 options:
B
C
D
E | C | descriptive geometry | B
C
D
E |
766 | algorithmic | MathVision/test_000766.png | Suppose you make a trip over the squared board shown, and you visit every square exactly once. Where must you start, if you can move only horizontally or vertically, but not diagonally?
<image1>
Select only from the following 4 options:
A. Only in the middle square
B. Only at a corner square
D. Only at a shaded square
E. At any square | D | graph theory | A. Only in the middle square
B. Only at a corner square
D. Only at a shaded square
E. At any square |
783 | spatial | MathVision/test_000783.png | lines are drawn on a piece of paper and some of the lines are given numbers. The paper is cut along some of these lines and then folded as shown in the picture. Along which lines were the cuts made?
<image1>
<image2>
Select only from the following 4 options:
A. $1,3,5,7$
C. $2,3,5,6$
D. $3,4,6,7$
E. $1,4,5,8$ | B | descriptive geometry | A. $1,3,5,7$
C. $2,3,5,6$
D. $3,4,6,7$
E. $1,4,5,8$ |
808 | spatial | MathVision/test_000808.png | Lisa built a large cube out of 8 smaller ones. The small cubes have the same letter on each of their faces (A,B,C or D). Two cubes with a common face always have a different letter on them. Which letter is on the cube that cannot be seen in the picture?
<image1>
Select only from the following 4 options:
A. A
C. C
D. D
E. The picture is not possible. | B | descriptive geometry | A. A
C. C
D. D
E. The picture is not possible. |
815 | deductive | MathVision/test_000815.png | A few fields of a $4 \times 4$ grid were painted red. The numbers in the bottom row and left column give the number of fields coloured red. The red was then rubbed away. Which of the following could grids could be a solution?
<image1>
Select only from the following 4 options:
A
C
D
E | D | logic | A
C
D
E |
818 | Quantitative Reasoning | MathVision/test_000818.png | How far must Maria walk to reach her friend Bianca?
<image1>
Select only from the following 4 options:
A. $300 \mathrm{~m}$
B. $400 \mathrm{~m}$
D. $1 \mathrm{~km}$
E. $700 \mathrm{~m}$ | C | arithmetic | A. $300 \mathrm{~m}$
B. $400 \mathrm{~m}$
D. $1 \mathrm{~km}$
E. $700 \mathrm{~m}$ |
823 | spatial | MathVision/test_000823.png | Johann stacks $1 \times 1$ cubes on the squares of a $4 \times 4$ grid. The diagram on the right shows how many cubes were piled on top of each other on each square of the grid. What will Johann see if he looks from behind (hinten) at the tower?
<image1>
<image2>
Select only from the following 4 options:
A. (A)
B. (B)
C. (C)
E. (E) | C | descriptive geometry | A. (A)
B. (B)
C. (C)
E. (E) |
830 | spatial | MathVision/test_000830.png | A white and a grey ring are interlinked with one another. Peter sees the two rings from the front as they are seen in the diagram on the right. Paul sees the rings from the back. What does he see?
<image1>
<image2>
Select only from the following 4 options:
A
C
D
E | D | descriptive geometry | A
C
D
E |
835 | algorithmic | MathVision/test_000835.png | The kangaroos $A, B, C, D$ and $E$ sit in this order in a clockwise direction around a round table. After a bell sounds all but one kangaroo change seats with a neighbour. Afterwards they sit in the following order in a clockwise direction: A, E, B, D, C. Which kangaroo did not change places?
<image1>
Select only from the following 4 options:
A
B
C
E | B | graph theory | A
B
C
E |
840 | spatial | MathVision/test_000840.png | The word KANGAROO is written on the top side of my umbrella. Which of the following pictures does not show my umbrella?
<image1>
<image2>
Select only from the following 4 options:
A
C
D
E | C | descriptive geometry | A
C
D
E |
846 | Quantitative Reasoning | MathVision/test_000846.png | Andrea has 4 equally long strips of paper. When she glues two together with an overlap of $10 \mathrm{~cm}$, she gets a strip $50 \mathrm{~cm}$ long.
<image1>
With the other two she wants to make a $56 \mathrm{~cm}$ long strip. How long must the overlap be?
<image2>
Select only from the following 4 options:
B. $6 \mathrm{~cm}$
C. $8 \mathrm{~cm}$
D. $10 \mathrm{~cm}$
E. $12 \mathrm{~cm}$ | A | arithmetic | B. $6 \mathrm{~cm}$
C. $8 \mathrm{~cm}$
D. $10 \mathrm{~cm}$
E. $12 \mathrm{~cm}$ |
849 | algorithmic | MathVision/test_000849.png | Each of the 9 sides of the triangles in the picture will be coloured blue, green or red. Three of the sides are already coloured. Which colour can side $\mathrm{x}$ have, if the sides of each triangle must be coloured in three different colours?
<image1>
Select only from the following 4 options:
A. only blue
B. only green
D. Each of the three colours is possible.
E. The colouring described is not possible | C | graph theory | A. only blue
B. only green
D. Each of the three colours is possible.
E. The colouring described is not possible |
851 | spatial | MathVision/test_000851.png | Nina wants to make a cube from the paper net. You can see there are 7 squares Instead of 6. Which square(s) can she remove from the net, so that the other 6 squares remain connected and from the newly formed net a cube can be made?
<image1>
Select only from the following 4 options:
B. only 7
C. only 3 or 4
D. only 3 or 7
E. only 3,4 or 7 | D | descriptive geometry | B. only 7
C. only 3 or 4
D. only 3 or 7
E. only 3,4 or 7 |
860 | spatial | MathVision/test_000860.png | The given net is folded along the dotted lines to form an open box. The box is placed on the table so that the opening is on the top. Which side is facing the table?
<image1>
Select only from the following 4 options:
A
B
D
E | B | descriptive geometry | A
B
D
E |
870 | algorithmic | MathVision/test_000870.png | Jane, Kate and Lynn go for a walk. Jane walks at the very front, Kate in the middle and Lynn at the very back. Jane weighs $500 \mathrm{~kg}$ more than Kate and Kate weighs $1000 \mathrm{~kg}$ less than Lynn. Which of the following pictures shows Jane, Kate and Lynn in the right order?
<image1>
Select only from the following 4 options:
B. (B)
C. (C)
D. (D)
E. (E) | A | combinatorics | B. (B)
C. (C)
D. (D)
E. (E) |
874 | Quantitative Reasoning | MathVision/test_000874.png | Boris wants to increase his pocket money. To achieve this a fairy gives him three magic wands. He has to use every single one exactly once.
<image1>
In which order does he have to use the magic wands, in order to get the most money?
<image2>
Select only from the following 4 options:
A
B
C
D | D | arithmetic | A
B
C
D |
879 | spatial | MathVision/test_000879.png | A square floor is made up of triangular and square tiles in grey and white. What is the smallest number of grey tiles that have to be swapped with white tiles, so that the floor looks the same from all four given viewing directions?
<image1>
Select only from the following 4 options:
A. three triangles, one square
C. one triangle, one square
D. three triangles, three squares
E. three triangles, two squares | C | descriptive geometry | A. three triangles, one square
C. one triangle, one square
D. three triangles, three squares
E. three triangles, two squares |
883 | spatial | MathVision/test_000883.png | Peter places three building blocks on a table, as shown. What does he see when he is looking at them from above?
<image1>
<image2>
Select only from the following 4 options:
A
C
D
E | C | descriptive geometry | A
C
D
E |
887 | Quantitative Reasoning | MathVision/test_000887.png | A big spot of ink covers most of a calendar page of a certain month. Which day of the week does the 25th day of that month fall on?
<image1>
Select only from the following 4 options:
B. Wednesday
C. Thursday
D. Saturday
E. Sunday | D | arithmetic | B. Wednesday
C. Thursday
D. Saturday
E. Sunday |
893 | spatial | MathVision/test_000893.png | The faces of a die are either white, grey or black. Opposite faces are always a different colour. Which of the following nets does not belong to such a die?
<image1>
Select only from the following 4 options:
B
C
D
E | E | descriptive geometry | B
C
D
E |
896 | algorithmic | MathVision/test_000896.png | Four ladybirds each sit on a different cell of a $4 \times 4$ grid. One is asleep and does not move. On a whistle the other three each move to an adjacent free cell. They can crawl up, down, to the right or to the left but are not allowed on any account to move back to the cell that they have just come from. Where could the ladybirds be after the fourth whistle?
Initial position:
<image1>
After the first whistle:
<image2>
After the second whistle:
<image3>
After the third whistle:
<image4>
<image5>
Select only from the following 4 options:
A
C
D
E | A | graph theory | A
C
D
E |
901 | algorithmic | MathVision/test_000901.png | A digital clock shows the following time: <image1> What time is it when it uses the exactly same digits again for the first time after that?
<image2>
Select only from the following 4 options:
A
B
C
D | C | combinatorics | A
B
C
D |