id
stringlengths
1
4
category
stringclasses
6 values
image_path
stringlengths
26
29
question
stringlengths
88
629
answer
stringclasses
5 values
math_category
stringclasses
8 values
options
stringlengths
7
234
75
analogical
chairs-img/analogical_75.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
D
N/A
A B C D
76
analogical
chairs-img/analogical_76.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
B
N/A
A B C D
77
analogical
chairs-img/analogical_77.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
C
N/A
A B C D
78
analogical
chairs-img/analogical_78.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
C
N/A
A B C D
79
analogical
chairs-img/analogical_79.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
A
N/A
A B C D
80
analogical
chairs-img/analogical_80.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
D
N/A
A B C D
81
analogical
chairs-img/analogical_81.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
D
N/A
A B C D
82
analogical
chairs-img/analogical_82.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
A
N/A
A B C D
83
analogical
chairs-img/analogical_83.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
D
N/A
A B C D
84
analogical
chairs-img/analogical_84.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
C
N/A
A B C D
85
analogical
chairs-img/analogical_85.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
A
N/A
A B C D
86
analogical
chairs-img/analogical_86.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
A
N/A
A B C D
87
analogical
chairs-img/analogical_87.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
A
N/A
A B C D
88
analogical
chairs-img/analogical_88.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
C
N/A
A B C D
89
analogical
chairs-img/analogical_89.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
D
N/A
A B C D
90
analogical
chairs-img/analogical_90.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
B
N/A
A B C D
91
analogical
chairs-img/analogical_91.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
C
N/A
A B C D
92
analogical
chairs-img/analogical_92.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
D
N/A
A B C D
93
analogical
chairs-img/analogical_93.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
B
N/A
A B C D
94
analogical
chairs-img/analogical_94.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
B
N/A
A B C D
95
analogical
chairs-img/analogical_95.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
D
N/A
A B C D
96
analogical
chairs-img/analogical_96.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
B
N/A
A B C D
97
analogical
chairs-img/analogical_97.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
C
N/A
A B C D
98
analogical
chairs-img/analogical_98.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
A
N/A
A B C D
99
analogical
chairs-img/analogical_99.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
C
N/A
A B C D
100
analogical
chairs-img/analogical_100.png
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
C
N/A
A B C D
2
Quantitative Reasoning
MathVision/test_000002.png
Which bike is most expensive? <image1> Select only from the following 4 options: A B C E
A
arithmetic
A B C E
6
deductive
MathVision/test_000006.png
Misty the cat has five kittens: two of them are striped, one spotty, the rest of them are absolutely white. In which picture can we see the kittens of Misty, knowing that the ears of one of them are of different colour? <image1> Select only from the following 4 options: A B C D
D
logic
A B C D
9
algorithmic
MathVision/test_000009.png
A squirrel is following the paths of labyrinth and collecting food for winter. Which stuff it will not be able to take? <image1> Select only from the following 4 options: B C D E
D
graph theory
B C D E
15
Quantitative Reasoning
MathVision/test_000015.png
Emily celebrated her birthday on Thursday, and her sister Liepa 8 days earlier. Which weekday was that? <image1> Select only from the following 4 options: B. Thursday C. Friday D. Tuesday E. Sunday
A
arithmetic
B. Thursday C. Friday D. Tuesday E. Sunday
19
Quantitative Reasoning
MathVision/test_000019.png
Eve has taken 2 bananas to school. At first she changed each of them into 4 apples, later on she exchanged each apple into 3 mandarins. How many mandarins has Eve got? <image1> Select only from the following 4 options: A. $2+4+3$ B. $2 \cdot 4+3$ C. $2+4 \cdot 3$ E. $2+4-3$
D
arithmetic
A. $2+4+3$ B. $2 \cdot 4+3$ C. $2+4 \cdot 3$ E. $2+4-3$
22
Quantitative Reasoning
MathVision/test_000022.png
What time is it now, if after 6 hours and 30 minutes the clock will show 4:00? <image1> Select only from the following 4 options: B. 10:30 C. 2:30 D. 22:10 E. 21:30
E
arithmetic
B. 10:30 C. 2:30 D. 22:10 E. 21:30
24
Quantitative Reasoning
MathVision/test_000024.png
A trip of the pupils to the zoo took 135 minutes. <image1> How many hours and minutes does it make? Select only from the following 4 options: A. 3 h 5 min B. 2 h 15 min C. 1 h 35 min D. 2 h 35 min
B
arithmetic
A. 3 h 5 min B. 2 h 15 min C. 1 h 35 min D. 2 h 35 min
26
Quantitative Reasoning
MathVision/test_000026.png
The ladybird would like to sit on his flower. The flower has five petals and the stem has three leaves. On which flower should the ladybird sit? <image1> Select only from the following 4 options: B C D E
B
counting
B C D E
31
Quantitative Reasoning
MathVision/test_000031.png
How many ducks weigh the same as a crocodile? <image1> <image2> Select only from the following 4 options: B C D E
B
arithmetic
B C D E
39
deductive
MathVision/test_000039.png
Ingrid has 4 red, 3 blue, 2 green and 1 yellow cube. She uses them to build the following object: <image1> Cubes with the same colour don't touch each other. Which colour is the cube with the question mark? Select only from the following 4 options: A. red B. blue C. green D. Yellow
A
logic
A. red B. blue C. green D. Yellow
44
Quantitative Reasoning
MathVision/test_000044.png
Florian has 10 equally long metal strips with equally many holes. <image1> He bolts the metal strips together in pairs. Now he has five long strips (see the diagram). <image2> Which of the long strips is the shortest? Select only from the following 4 options: A B C D
B
counting
A B C D
46
spatial
MathVision/test_000046.png
What do you see if you look at the tower, which is made up of two building blocks, exactly from above? <image1> <image2> Select only from the following 4 options: A B C D
A
descriptive geometry
A B C D
52
algorithmic
MathVision/test_000052.png
Which point in the labyrinth can we get to, starting at point $O$? <image1> Select only from the following 4 options: A C D E
C
graph theory
A C D E
55
algorithmic
MathVision/test_000055.png
Gerda walks along the road and writes down the letters she can see on her right hand side. Which word is formed while Gerda walks from point 1 to point 2? <image1> Select only from the following 4 options: A. KNAO B. KNGO D. AGRO E. KAO
A
combinatorics
A. KNAO B. KNGO D. AGRO E. KAO
58
deductive
MathVision/test_000058.png
<image1> In the picture above five ladybirds can be seen. Each one is sitting on a certain flower. A ladybird is only allowed to sit on a flower if the following conditions are met: 1) The difference between the number of points on each wing is equal to the number of leaves on the stem. 2) The number of points on the wings of the ladybird is equal to the number of petals on the flower. Which of the following flowers is without a ladybird? <image2> Select only from the following 4 options: A B D E
E
logic
A B D E
67
Quantitative Reasoning
MathVision/test_000067.png
In which picture are there half as many circles as triangles and twice as many squares as triangles? <image1> Select only from the following 4 options: B C D E
E
counting
B C D E
70
spatial
MathVision/test_000070.png
Simon has two identical tiles, whose front look like this: The back is white. <image1> Which pattern can he make with those two tiles? <image2> Select only from the following 4 options: A B D E
A
descriptive geometry
A B D E
71
deductive
MathVision/test_000071.png
Each one of the four keys locks exactly one padlock. Every letter on a padlock stands for exactly one digit. Same letters mean same digits. Which letters must be written on the fourth padlock? <image1> Select only from the following 4 options: A. GDA B. ADG D. GAG E. DAD
D
logic
A. GDA B. ADG D. GAG E. DAD
72
Quantitative Reasoning
MathVision/test_000072.png
Alice draws lines between the beetles. She starts with the beetle with the fewest points. Then she continues drawing to the beetle with one more point. Which figure is formed? <image1> <image2> Select only from the following 4 options: B C D E
D
counting
B C D E
74
Quantitative Reasoning
MathVision/test_000074.png
Which beetle has to fly away so that the remaining beetles have 20 dots altogether? <image1> Select only from the following 4 options: A. Beetle with 4 points C. Beetle with 5 points D. Beetle with 6 points E. no beetle
B
arithmetic
A. Beetle with 4 points C. Beetle with 5 points D. Beetle with 6 points E. no beetle
78
Quantitative Reasoning
MathVision/test_000078.png
In order to get to his bone, the dog has to follow the black line. In total he turns 3-times to the right and 2-times to the left. Which path does he take? <image1> Select only from the following 4 options: B C D E
E
counting
B C D E
84
Quantitative Reasoning
MathVision/test_000084.png
The road from Anna's to Mary's house is $16 \mathrm{~km}$ long. The road from Mary's to John's house is $20 \mathrm{~km}$ long. The road from the crossing to Mary's house is $9 \mathrm{~km}$ long. How long is the road from Anna's to John's house? <image1> Select only from the following 4 options: A. $7 \mathrm{~km}$ B. $9 \mathrm{~km}$ C. $11 \mathrm{~km}$ D. $16 \mathrm{~km}$
E
arithmetic
A. $7 \mathrm{~km}$ B. $9 \mathrm{~km}$ C. $11 \mathrm{~km}$ D. $16 \mathrm{~km}$
85
Quantitative Reasoning
MathVision/test_000085.png
Which of these clouds contain only numbers that are smaller than 7 ? <image1> Select only from the following 4 options: B C D E
D
arithmetic
B C D E
87
Quantitative Reasoning
MathVision/test_000087.png
Mother kangaroo and her son Max together weigh $60 \mathrm{~kg}$ (kilograms). The mother on her own weighs $52 \mathrm{~kg}$. How heavy is Max? <image1> Select only from the following 4 options: B. $8 \mathrm{~kg}$ C. $30 \mathrm{~kg}$ D. $56 \mathrm{~kg}$ E. $112 \mathrm{~kg}$
B
arithmetic
B. $8 \mathrm{~kg}$ C. $30 \mathrm{~kg}$ D. $56 \mathrm{~kg}$ E. $112 \mathrm{~kg}$
90
spatial
MathVision/test_000090.png
Five equally big square pieces of card are placed on a table on top of each other. The picture on the side is created this way. The cards are collected up from top to bottom. In which order are they collected? <image1> Select only from the following 4 options: A. 5-4-3-2-1 C. 5-4-2-3-1 D. 5-3-2-1-4 E. 5-2-3-1-4
E
descriptive geometry
A. 5-4-3-2-1 C. 5-4-2-3-1 D. 5-3-2-1-4 E. 5-2-3-1-4
97
spatial
MathVision/test_000097.png
Four strips of paper are used to make a pattern (see picture). <image1> What do you see when you look at it from behind? <image2> Select only from the following 4 options: B C D E
D
descriptive geometry
B C D E
99
spatial
MathVision/test_000099.png
Julia has 5 pieces of plastic and has stacked these pieces on a table, as shown beside. What was the second piece she put on the table? <image1> <image2> Select only from the following 4 options: A B C D
C
descriptive geometry
A B C D
100
spatial
MathVision/test_000100.png
Marco's father took a picture of his son in front of the car shown beside. Which of the drawings below could represent this picture? <image1> <image2> Select only from the following 4 options: A B C E
E
descriptive geometry
A B C E
102
algorithmic
MathVision/test_000102.png
A magician takes animals out of his hat always in the same order, as shown below. <image1> The pattern of the figure is repeated every five animals. What will be the fourteenth animal he will pull out of his hat? <image2> Select only from the following 4 options: A B D E
A
combinatorics
A B D E
105
Quantitative Reasoning
MathVision/test_000105.png
Ana draws some shapes on a sheet. Her drawing has fewer squares than triangles. What could be her drawing? <image1> Select only from the following 4 options: A B C D
D
counting
A B C D
107
deductive
MathVision/test_000107.png
A village of 12 houses has four straight streets and four circular streets. The map shows 11 houses. In each straight street there are three houses and in each circular street there are also three houses. Where should the 12th house be placed on this map? <image1> Select only from the following 4 options: A. On A B. On B C. On C D. On D
D
logic
A. On A B. On B C. On C D. On D
110
spatial
MathVision/test_000110.png
Six figures were drawn, one on each side of a cube, as shown beside, in different positions. On the side that does not appear beside is this drawing: <image1> What is the figure on the face opposite to it? <image2> <image3> Select only from the following 4 options: A B D E
B
descriptive geometry
A B D E
113
deductive
MathVision/test_000113.png
Tom has these nine cards: <image1> He places these cards on the board next to each other so that each horizontal line and each vertical line has three cards with the three different shapes and the three different amounts of drawings. He has already placed three cards, as shown in the picture. Which card should he place in the colored box? <image2> <image3> Select only from the following 4 options: A B C E
E
logic
A B C E
117
deductive
MathVision/test_000117.png
In the figure, an arrow pointing from one person to another means that the first person is shorter than the second. For example, person $B$ is shorter than person $A$. Which person is the tallest? <image1> Select only from the following 4 options: A. Person A B. Person B C. Person C D. Person D
C
logic
A. Person A B. Person B C. Person C D. Person D
121
Quantitative Reasoning
MathVision/test_000121.png
Which of the paths shown in the pictures is the longest? <image1> Select only from the following 4 options: A C D E
A
counting
A C D E
122
spatial
MathVision/test_000122.png
Four identical pieces of paper are placed as shown. Michael wants to punch a hole that goes through all four pieces. At which point should Michael punch the hole? <image1> Select only from the following 4 options: B C D E
D
descriptive geometry
B C D E
123
spatial
MathVision/test_000123.png
Ella puts on this t-shirt and stands in front of a mirror. Which of these images does she see in the mirror? <image1> <image2> Select only from the following 4 options: A B C E
A
descriptive geometry
A B C E
125
Quantitative Reasoning
MathVision/test_000125.png
In the Kangaroo constellation, all stars have a number greater than 3 and their sum is 20 . Which is the Kangaroo constellation? <image1> Select only from the following 4 options: A B C E
B
arithmetic
A B C E
131
deductive
MathVision/test_000131.png
The picture shows the five houses of five friends and their school. The school is the largest building in the picture. To go to school, Doris and Ali walk past Leo's house. Eva walks past Chole's house. Which is Eva's house? <image1> <image2> Select only from the following 4 options: A B C E
B
logic
A B C E
137
Quantitative Reasoning
MathVision/test_000137.png
In which box are the most triangles? <image1> Select only from the following 4 options: A B C D
B
counting
A B C D
140
deductive
MathVision/test_000140.png
In the four squares of a row there always have to be exactly two coins. In the four squares below each other there also always have to be exactly two coins. <image1> On which square does one more coin have to be placed? Select only from the following 4 options: A. square $A$ B. square $B$ D. square $D$ E. square $E$
D
logic
A. square $A$ B. square $B$ D. square $D$ E. square $E$
143
deductive
MathVision/test_000143.png
There is an animal asleep in each of the five baskets. The koala and the fox sleep in baskets with the same pattern and the same shape. The kangaroo and the rabbit sleep in baskets with the same pattern. <image1> In which basket does the mouse sleep? Select only from the following 4 options: A. Basket 1 B. Basket 2 C. Basket 3 E. Basket 5
E
logic
A. Basket 1 B. Basket 2 C. Basket 3 E. Basket 5
152
spatial
MathVision/test_000152.png
The picture shows 5 cubes from the front. What do they look like from above? <image1> <image2> Select only from the following 4 options: A B C D
B
descriptive geometry
A B C D
153
Quantitative Reasoning
MathVision/test_000153.png
Each bowl has 4 balls. Add up the numbers on the balls. In which bowl is the result biggest? <image1> Select only from the following 4 options: A B D E
A
arithmetic
A B D E
155
Quantitative Reasoning
MathVision/test_000155.png
Sara says: "My boat has more than one circle. It also has 2 triangles more than squares." Which boat belongs to Sara? <image1> Select only from the following 4 options: A B C E
E
counting
A B C E
162
deductive
MathVision/test_000162.png
Each of the children Ali, Lea, Josef, Vittorio and Sophie get a birthday cake. The number on top of the cake shows how old the child is. Lea is two years older than Josef, but one year younger than Ali. Vittorio is the youngest. Which cake belongs to Sophie? <image1> Select only from the following 4 options: B C D E
C
logic
B C D E
194
algorithmic
MathVision/test_000194.png
In how many ways can all the numbers $1,2,3,4,5,6$ be written in the squares of the figure (one in each square) so that there are no adjacent squares in which the difference of the numbers written is equal to 3? (Squares that share only a corner are not considered adjacent.) <image1> Select only from the following 4 options: A. $3 \cdot 2^{5}$ C. $6^{3}$ D. $2 \cdot 3^{5}$ E. $3 \cdot 5^{2}$
A
combinatorics
A. $3 \cdot 2^{5}$ C. $6^{3}$ D. $2 \cdot 3^{5}$ E. $3 \cdot 5^{2}$
206
algorithmic
MathVision/test_000206.png
A river starts at point $A$. As it flows the river splits into two. The first branch takes $\frac{2}{3}$ of the water and the second takes the rest. Later the first branch splits into three, one taking $\frac{1}{8}$ of the branch's water, the second $\frac{5}{8}$ and the third one the rest. Further down this last branch meets again a branch of the river. The map below shows the situation. What part of the original water flows at point $B$? <image1> Select only from the following 4 options: A. $\frac{1}{3}$ C. $\frac{2}{9}$ D. $\frac{1}{2}$ E. $\frac{1}{4}$
D
graph theory
A. $\frac{1}{3}$ C. $\frac{2}{9}$ D. $\frac{1}{2}$ E. $\frac{1}{4}$
217
algorithmic
MathVision/test_000217.png
In the diagram on the right we want to colour the fields with the colours A, B, C and D so that adjacent fields are always in different colours. (Even fields that share only one corner, count as adjacent.) Some fields have already been coloured in. In which colour can the grey field be coloured in? <image1> Select only from the following 4 options: B. only C C. only D D. either C or D E. A, B, C or D
D
graph theory
B. only C C. only D D. either C or D E. A, B, C or D
222
spatial
MathVision/test_000222.png
In the diagram on the right we see the birdô-eye view and front elevation of a solid that is defined by flat surfaces (i.e. view from obove and the front respectively). Bird' s-Eye View (view from above): <image1>. Front Elevation (view from the front): <image2>. Which of the outlines I to IV can be the side elevation (i.e. view from the left) of the same object? <image3> Select only from the following 4 options: A. I B. II D. IV E. none of them
D
descriptive geometry
A. I B. II D. IV E. none of them
223
deductive
MathVision/test_000223.png
The sum of the number in each line, column and diagonal in the Ămagic squareñon the right is always constant. Only two numbers are visible. Which number is missing in field $a$? <image1> Select only from the following 4 options: B. 51 C. 54 D. 55 E. 110
D
logic
B. 51 C. 54 D. 55 E. 110
235
deductive
MathVision/test_000235.png
Jan cannot draw very accurately but nevertheless he tried to produce a roadmap of his village. The relative position of the houses and the street crossings are all correct but three of the roads are actually straight and only Qurwik street is not. Who lives in Qurwik street? <image1> Select only from the following 4 options: A. Amy B. Ben C. Carol D. David
C
logic
A. Amy B. Ben C. Carol D. David
236
spatial
MathVision/test_000236.png
A rectangular piece of paper is wrapped around a cylinder. Then an angled straight cut is made through the points $\mathrm{X}$ and $\mathrm{Y}$ of the cylinder as shown on the left. The lower part of the piece of paper is then unrolled. Which of the following pictures could show the result? <image1> <image2> Select only from the following 4 options: B C D E
C
descriptive geometry
B C D E
238
deductive
MathVision/test_000238.png
Michael wants to write whole numbers into the empty fields of the $3 \times 3$ table on the right so that the sum of the numbers in each $2 \times 2$ square equals 10. Four numbers have already been written down. Which of the following values could be the sum of the remaining five numbers? <image1> Select only from the following 4 options: A. 9 B. 10 C. 12 E. None of these numbers is possible.
E
logic
A. 9 B. 10 C. 12 E. None of these numbers is possible.
252
Quantitative Reasoning
MathVision/test_000252.png
Renate wants to glue together a number of ordinary dice (whose number of points on opposite sides always adds up to 7) to form a "dicebar" as shown. Doing this she only wants to glue sides together with an equal number of points. She wants to make sure that the sum of all points on the non-glued sides equals 2012. How many dice does she have to glue together? <image1> Select only from the following 4 options: A. 70 B. 71 D. 143 E. It is impossible to obtain exactly 2012 points on the non-glued together sides.
E
arithmetic
A. 70 B. 71 D. 143 E. It is impossible to obtain exactly 2012 points on the non-glued together sides.
256
spatial
MathVision/test_000256.png
Inside the cube lattice pictured on the side one can see a solid, non-seethrough pyramid $A B C D S$ with square base $A B C D$, whose top $S$ is exactly in the middle of one edge of the cube. If you look at the pyramid from above, from below, from the front, from the back, from the right and from the left - which of the following views cannot be possible? <image1> <image2> Select only from the following 4 options: A B D E
E
descriptive geometry
A B D E
271
Inductive Reasoning
MathVision/test_000271.png
Diana produces a bar chart which shows the number of four different types of trees which she has counted on a biology trip. Heinz believes that a pie chart would represent the ratio of the different types of trees in a better way. What would the pie chart look like? <image1> <image2> Select only from the following 4 options: A B C E
A
statistics
A B C E
273
spatial
MathVision/test_000273.png
A drinking glass is made in the shape of a truncated cone. The outside of the glass (without the upper or lower circle) should be covered with coloured paper. How do you need to cut the paper to completely cover the glass without an overlap? <image1> <image2> Select only from the following 4 options: A B C E
E
descriptive geometry
A B C E
289
algorithmic
MathVision/test_000289.png
Each of the ten points in the diagram is labelled with one of the numbers 0,1 or 2. It is known that the sum of the numbers in the corner points of each white triangle is divisible by 3, while the sum of the numbers in the corner points of each black triangle is not divisible by 3. Three of the points are already labeled as shown in the diagram. With which numbers can the inner point be labeled? <image1> Select only from the following 4 options: A. only 0 B. only 1 C. only 2 E. either 0 or 1 or 2
A
combinatorics
A. only 0 B. only 1 C. only 2 E. either 0 or 1 or 2
293
algorithmic
MathVision/test_000293.png
We consider a $5 \times 5$ square that is split up into 25 fields. Initially all fields are white. In each move it is allowed to change the colour of three fields that are adjacent in a horizontal or vertical line (i.e. white fields turn black and black ones turn white). What is the smallest number of moves needed to obtain the chessboard colouring shown in the diagram? <image1> Select only from the following 4 options: A. less than 10 B. 10 C. 12 E. This colouring cannot be obtained.
A
graph theory
A. less than 10 B. 10 C. 12 E. This colouring cannot be obtained.
306
Quantitative Reasoning
MathVision/test_000306.png
In the diagram you can see the calendar page of a certain month. Unfortunately ink has run across parts of the page. Which day of the week does the 27th of that month fall on? <image1> Select only from the following 4 options: A. Monday B. Wednesday C. Thursday D. Saturday
A
arithmetic
A. Monday B. Wednesday C. Thursday D. Saturday
312
Inductive Reasoning
MathVision/test_000312.png
The five vases shown are filled with water. The filling rate is constant. For which of the five vases does the graph shown describe the height of the water $h$ as a function of the time t? <image1> <image2> Select only from the following 4 options: B C D E
D
statistics
B C D E
321
Quantitative Reasoning
MathVision/test_000321.png
Archimedes has calculated 15!. The result is on the board. Unfortunately two of the digits, the second and the tenth, cannot be read. What are the two missing digits? (Remark: $15 !=15 \cdot 14 \cdot 13 \cdot \ldots \cdot 2 \cdot 1$ ) <image1> Select only from the following 4 options: A. 2 and 0 B. 4 and 8 C. 7 and 4 D. 9 and 2
E
arithmetic
A. 2 and 0 B. 4 and 8 C. 7 and 4 D. 9 and 2
336
Inductive Reasoning
MathVision/test_000336.png
The pie chart beside refers to the number of inhabitants of the five zones of a city. The central zone has the same population as the north, west and east zones together and the south zone has half of the inhabitants of the west zone. What is the percentage difference between the inhabitants of the north and east zones? <image1> Select only from the following 4 options: A. $6 \%$ B. $11 \%$ C. $12 \%$ D. $13 \%$
D
statistics
A. $6 \%$ B. $11 \%$ C. $12 \%$ D. $13 \%$
341
deductive
MathVision/test_000341.png
Matias wrote 15 numbers on the wheel represented beside. Only one of them is visible, the 10 on top of the wheel. The sum of the numbers in any seven consecutive positions, such as the gray positions in the figure, does not vary. When seven numbers in consecutive positions are summed up, which of the following results is possible? <image1> Select only from the following 4 options: A. 49 B. 70 C. 75 E. 150
B
logic
A. 49 B. 70 C. 75 E. 150
350
deductive
MathVision/test_000350.png
Adam and Bruna try to find out which is Carla's favorite figure, amongst the figures beside. Adam knows that Carla told Bruna what the shape of the figure was. Bruna knows that Carla told Adam what color the figure was. The following conversation takes place. Adam: "I don't know what Carla's favorite figure is and I know that Bruna doesn't know either". Bruna: "At first I didn't know what Carla's favorite figure was, but now I know". Adam: "Now I know too". What is Carla's favorite figure? <image1> <image2> Select only from the following 4 options: A B D E
E
logic
A B D E
351
Inductive Reasoning
MathVision/test_000351.png
Paula's weather app shows a diagram of the predicted weather and maximum temperatures for the next seven days, as shown. Which of the following represents the corresponding graph of maximum temperatures? <image1> <image2> Select only from the following 4 options: A B C E
E
statistics
A B C E
353
spatial
MathVision/test_000353.png
After the storm last night, the flagpole on our school building is leaning over. Looking from northwest, its tip is to the right of its bottom point. Looking from the east, its tip is also to the right of its bottom point. In which direction could the flagpole be leaning over? <image1> Select only from the following 4 options: A B C E
A
descriptive geometry
A B C E
361
deductive
MathVision/test_000361.png
Five kangaroos named A, B, C, D and E have one child each, named a, b, c, d and e, not necessarily in that order. In the first group photo shown exactly 2 of the children are standing next to their mothers. In the second group photo exactly 3 of the children are standing next to their mothers. Whose child is a? <image1> Select only from the following 4 options: B C D E
D
logic
B C D E
366
Inductive Reasoning
MathVision/test_000366.png
Martin's smartphone displays the diagram on the right. It shows how long he has worked with four different apps in the previous week. The apps are sorted from top to bottom according to the amount of time they have been used. This week he has spent only half the amount of time using two of the apps and the same amount of time as last week using the other two apps. Which of the following pictures cannot be the diagram for the current week? <image1> <image2> Select only from the following 4 options: A B C E
E
statistics
A B C E
370
Quantitative Reasoning
MathVision/test_000370.png
We check the water meter and see that all digits on the display are different. What is the minimum amount of water that has to be used before this happens again? <image1> Select only from the following 4 options: B. $0.034 \mathrm{~m}^{3}$ C. $0.086 \mathrm{~m}^{3}$ D. $0.137 \mathrm{~m}^{3}$ E. $1.048 \mathrm{~m}^{3}$
D
arithmetic
B. $0.034 \mathrm{~m}^{3}$ C. $0.086 \mathrm{~m}^{3}$ D. $0.137 \mathrm{~m}^{3}$ E. $1.048 \mathrm{~m}^{3}$
388
spatial
MathVision/test_000388.png
Leon has drawn a closed path on the surface of a cuboid. Which net can represent his path? <image1> Select only from the following 4 options: A B C D
D
descriptive geometry
A B C D
403
spatial
MathVision/test_000403.png
The picture on the right has been drawn on paper and cut out to make a house. Which of the houses does it make? <image1> <image2> Select only from the following 4 options: A C D E
A
descriptive geometry
A C D E
408
spatial
MathVision/test_000408.png
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? <image1> <image2> Select only from the following 4 options: A B D E
D
descriptive geometry
A B D E