1

Which number should be written in place of the question mark? <image1>

[]

images/1.jpg

60

null

2

arithmetic

2

Which bike is most expensive? <image1>

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

images/2.jpg

A

null

2

arithmetic

3

Which kite has the longest string? <image1>

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

images/3.jpg

C

null

1

metric geometry - length

4

How many different digits can you find in this picture? <image1>

[]

images/4.jpg

6

null

1

counting

5

Which number do you have to write in the last daisy? <image1>

[]

images/5.jpg

61

null

2

arithmetic

6

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>

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

images/6.jpg

D

null

3

logic

7

How many bricks are missing in the wall? <image1>

[]

images/7.jpg

6

null

1

counting

8

The sums of the all the three numbers on each side of the triangle are equal. Two numbers happened to be stained with ink. How much is the sum of these two numbers? <image1>

[]

images/8.jpg

2

null

2

arithmetic

9

A squirrel is following the paths of labyrinth and collecting food for winter. Which stuff it will not be able to take? <image1>

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

images/9.jpg

D

null

1

graph theory

10

Four people can be seated at a square table. How many people at most could be seated if we pushed four tables of this kind together in one row? <image1>

[]

images/10.jpg

10

null

2

arithmetic

11

Mike has built a construction, shown in the upper picture, from equal cubes. Lily has taken several cubes out of it, thus Mike's construction became such as we see in the lower picture. How many cubes has Lily taken? <image1>

[]

images/11.jpg

7

null

1

solid geometry

12

Now it is 2008. What is the total sum of these digits? <image1>

[]

images/12.jpg

10

null

2

arithmetic

13

Which of these figures differs from the rest four? <image1>

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

images/13.jpg

E

null

2

transformation geometry

14

Mary has written all the numbers from 1 to 30 . How many times has she written digit 2? <image1>

[]

images/14.jpg

13

null

1

counting

15

Emily celebrated her birthday on Thursday, and her sister Liepa 8 days earlier. Which weekday was that? <image1>

[ "Wednesday", "Thursday", "Friday", "Tuesday", "Sunday" ]

images/15.jpg

A

null

2

arithmetic

16

How many points are there in the three unseen sides of dice? <image1>

[]

images/16.jpg

11

null

2

arithmetic

17

A jump of a little kangaroo is three times shorter than its mother's. How many jumps should the little kangaroo make to cover the distance equal to 7 jumps of its mother? <image1>

[]

images/17.jpg

21

null

2

arithmetic

18

A fifteen-meter log has to be sawn into three-meter pieces. How many cuts are needed for that? <image1>

[]

images/18.jpg

4

null

2

arithmetic

19

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>

[ "$2+4+3$", "$2 \\cdot 4+3$", "$2+4 \\cdot 3$", "$2 \\cdot 4 \\cdot 3$", "$2+4-3$" ]

images/19.jpg

D

null

2

arithmetic

20

How many plums (see the picture) weigh as much as an apple? <image1>

[]

images/20.jpg

3

null

2

arithmetic

21

Which of the figures shown bellow cannot be cut out of the figure illustrated nearby? <image1> <image2>

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

images/21.jpg

C

null

1

combinatorial geometry

22

What time is it now, if after 6 hours and 30 minutes the clock will show 4:00? <image1>

[ "10:00", "10:30", "2:30", "22:10", "21:30" ]

images/22.jpg

E

null

2

arithmetic

23

Tom bought a chocolate heart (see the picture) to Mary on her birthday. <image1> How many grams did the chocolate weigh, if each square weighs 10 grams?

[]

images/23.jpg

140

null

1

combinatorial geometry

24

A trip of the pupils to the zoo took 135 minutes. <image1> How many hours and minutes does it make?

[ "3 h 5 min", "2 h 15 min", "1 h 35 min", "2 h 35 min", "3 h 35 min" ]

images/24.jpg

B

null

2

arithmetic

25

A wooden block has 8 vertices. One vertex is cut off now (see the picture). <image1> How many vertices has the block now?

[]

images/25.jpg

10

null

1

solid geometry

26

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>

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

images/26.jpg

B

null

1

counting

27

Theresa moves a pencil along the line. She starts at the arrow shown. In which order will she go past the shapes? <image1>

[ "$\\Delta, \\square, \\bullet$", "$\\Delta, \\bullet, \\square$", "$\\bullet, \\Delta, \\square$", "$\\square, \\Delta, \\bullet$", "$\\square, \\bullet, \\Delta$" ]

images/27.jpg

A

null

5

topology

28

There are more grey squares than white. How many more? <image1>

[]

images/28.jpg

9

null

1

counting

29

A big square is made from 25 small squares put together. A few of the small squares have been lost. How many have been lost? <image1>

[]

images/29.jpg

10

null

1

counting

30

Put the animals in order of size. Begin with the smallest. Which animal will be in the middle? <image1>

[]

images/30.jpg

2

null

1

metric geometry - area

31

How many ducks weigh the same as a crocodile? <image1> <image2>

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

images/31.jpg

B

null

2

arithmetic

32

The kangaroo is inside how many circles? <image1>

[]

images/32.jpg

3

null

1

counting

33

When the ant <image1> walks from home <image2> along the arrows $\rightarrow 3, \uparrow 3, \rightarrow 3, \uparrow 1$, he gets to the ladybird <image3>. Which animal does the ant <image1> get to when he walks from home <image2> along the following arrows: $\rightarrow 2, \downarrow 2, \rightarrow 3, \uparrow 3, \right...

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

images/33.jpg

A

null

2

analytic geometry

34

Max has cut a rectangle into two pieces. One piece looks like: <image1> What does the other piece look like? <image2>

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

images/34.jpg

E

null

1

combinatorial geometry

35

Seven sticks lay on top of each other. Stick 2 lays right at the bottom. Stick 6 lays right on top. Which stick lays exactly in the middle? <image1>

[]

images/35.jpg

3

null

2

descriptive geometry

36

The rabbit family Hoppel eat cabbages and carrots. Each day they eat either 10 carrots or 2 cabbages. In the whole of last week they ate 6 cabbages. How many carrots did the rabbit family eat last week? <image1>

[]

images/36.jpg

40

null

2

arithmetic

37

A square is cut into four pieces. Which shape can you not make with these four pieces? <image1> <image2>

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

images/37.jpg

D

null

1

combinatorial geometry

38

Each of the digits 2, 3, 4 and 5 will be placed in a square. Then there will be two numbers, which will be added together. What is the biggest number that they could make? <image1>

[]

images/38.jpg

95

null

2

arithmetic

39

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?

[ "red", "blue", "green", "Yellow", "This cannot be worked out for certain." ]

images/39.jpg

A

null

3

logic

40

Which shape cannot be seen in every picture? <image1>

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

images/40.jpg

D

null

1

combinatorial geometry

41

How many triangles can you find in the picture? <image1>

[]

images/41.jpg

5

null

1

counting

42

Which part of the house is missing? <image1> <image2>

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

images/42.jpg

E

null

1

combinatorial geometry

43

How many dots do all ladybirds have together? <image1>

[]

images/43.jpg

19

null

1

counting

44

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?

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

images/44.jpg

B

null

1

counting

45

Which of the kangaroo cards shown below can be turned around so that it then looks the same as the card shown on the right? <image1> <image2>

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

images/45.jpg

E

null

2

transformation geometry

46

What do you see if you look at the tower, which is made up of two building blocks, exactly from above? <image1> <image2>

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

images/46.jpg

A

null

2

descriptive geometry

47

How many numbers are outside the square? <image1>

[]

images/47.jpg

2

null

1

counting

48

Michael has two building blocks. Each building block is made up of two cubes glued together. Which figure can he not make using the blocks? <image1> <image2>

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

images/48.jpg

B

null

1

combinatorial geometry

49

Every one of these six building blocks consists of 5 little cubes. The little cubes are either white or grey. Cubes of equal colour don't touch each other. How many little white cubes are there in total? <image1>

[]

images/49.jpg

12

null

1

solid geometry

50

Which piece is missing? <image1> <image2>

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

images/50.jpg

A

null

2

transformation geometry

51

How many ropes can you see in this picture? <image1>

[]

images/51.jpg

3

null

5

topology

52

Which point in the labyrinth can we get to, starting at point $O$? <image1>

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

images/52.jpg

C

null

1

graph theory

53

Max has 10 dice. Which one of the following solids can he build with them? <image1>

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

images/53.jpg

A

null

1

combinatorial geometry

54

A hen lays white and brown eggs. Lisa takes six of them and puts them in a box as shown. The brown eggs are not allowed to touch each other. What is the maximum number of brown eggs Lisa can place in the box? <image1>

[]

images/54.jpg

3

null

1

combinatorics

55

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>

[ "KNAO", "KNGO", "KNR", "AGRO", "KAO" ]

images/55.jpg

A

null

1

combinatorics

56

Konrad has some pieces of cardboard which all look like this: <image1> Which of the shapes below can he not make out of these pieces? <image2>

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

images/56.jpg

D

null

1

combinatorial geometry

57

Five sparrows are sitting on a rope (see picture). Some of them are looking to the left, some of them are looking to the right. Every sparrow whistles as many times as the number of sparrows he can see sitting in front of him. For example, the third sparrow whistles exactly twice. How often do all sparrows whistle alto...

[]

images/57.jpg

10

null

2

arithmetic

58

<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 w...

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

images/58.jpg

E

null

3

logic

59

<image1> In the picture above we see a cube in two different positions. The six sides of the cube look like this: <image2> Which side is opposite to <image3>? <image4>

[]

images/59.jpg

C

null

1

solid geometry

60

Ellen wants to decorate the butterfly Which butterfly can she make? <image1> using these 6 stickers <image2> <image3>

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

images/60.jpg

A

null

1

combinatorial geometry

61

Into how many pieces will the string be cut? <image1>

[]

images/61.jpg

9

null

1

counting

62

How many blocks are missing in this igloo? <image1>

[]

images/62.jpg

10

null

1

counting

63

This picture shows a bracelet with pearls. <image1> Which of the bands below shows the same bracelet as above? <image2>

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

images/63.jpg

E

null

5

topology

64

Four of the numbers 1,3,4,5 and 7 are written into the boxes so that the calculation is correct. Which number was not used? <image1>

[]

images/64.jpg

4

null

2

arithmetic

65

Jim and Ben are sitting in a ferris wheel (see picture on the right). The ferris wheel is turning. Now Ben is in the position where Jim was beforehand. Where is Jim now? <image1> <image2>

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

images/65.jpg

C

null

2

transformation geometry

66

Alfred turns his building block 10 times. The first three times can be seen in the picture. What is the final position of the building block? <image1> <image2>

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

images/66.jpg

D

null

2

transformation geometry

67

In which picture are there half as many circles as triangles and twice as many squares as triangles? <image1>

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

images/67.jpg

E

null

1

counting

68

Old McDonald has a horse, two cows and three pigs. <image1> How many more cows does he need, so that exactly half of all his animals are cows?

[]

images/68.jpg

2

null

2

arithmetic

69

Lisa has several sheets of construction paper like this <image1> and <image2> She wants to make 7 identical crowns: <image3> For that she cuts out the necessary parts. What is the minimum number of sheets of construction paper that she has to cut up?

[]

images/69.jpg

9

null

2

arithmetic

70

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>

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

images/70.jpg

A

null

2

descriptive geometry

71

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>

[ "GDA", "ADG", "GAD", "GAG", "DAD" ]

images/71.jpg

D

null

3

logic

72

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>

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

images/72.jpg

D

null

1

counting

73

The same amount of kangaroos should be in both parks. How many kangaroos have to be moved from the left park to the right park for that to happen? <image1>

[]

images/73.jpg

5

null

2

arithmetic

74

Which beetle has to fly away so that the remaining beetles have 20 dots altogether? <image1>

[ "Beetle with 4 points", "Beetle with 7 points", "Beetle with 5 points", "Beetle with 6 points", "no beetle" ]

images/74.jpg

B

null

2

arithmetic

75

Peter has drawn this pattern: <image1> He draws exactly the same pattern once more. Which point is on his drawing?

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

images/75.jpg

D

null

1

combinatorial geometry

76

Theodor has built this tower made up of discs. He looks at the tower from above. How many discs does he see? <image1>

[]

images/76.jpg

3

null

2

descriptive geometry

77

This diagram shows two see-through sheets. You place the sheets on top of each other.Which pattern do you get? <image1> <image2>

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

images/77.jpg

D

null

1

combinatorial geometry

78

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>

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

images/78.jpg

E

null

1

counting

79

Lisa needs exactly 3 pieces to complete her jigsaw. Which of the 4 pieces is left over? <image1> <image2>

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

images/79.jpg

A

null

1

combinatorial geometry

80

Charles cuts a rope into 3 equally long pieces. Then he makes one knot in one of the pieces, 2 in the next and in the third piece 3 knots. Then he lays the three pieces down in a random order. Which picture does he see? <image1>

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

images/80.jpg

B

null

1

metric geometry - length

81

How many of the hands pictured show a right hand? <image1>

[]

images/81.jpg

5

null

1

counting

82

The number of spots on the fly agarics (toadstools) shows how many dwarfs fit under it. We can see one side of the fungi. The other side has the same amount of spots. When it rains 36 dwarfs are trying to hide under the fungi. How many dwarfs get wet? <image1>

[]

images/82.jpg

6

null

2

arithmetic

83

Susi makes this pattern using ice-lolly sticks. Each stick is $5 \mathrm{~cm}$ long and $1 \mathrm{~cm}$ wide. How long is Susi's pattern? <image1>

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

images/83.jpg

B

null

1

combinatorial geometry

84

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>

[ "$7 \\mathrm{~km}$", "$9 \\mathrm{~km}$", "$11 \\mathrm{~km}$", "$16 \\mathrm{~km}$", "$18 \\mathrm{~km}$" ]

images/84.jpg

E

null

2

arithmetic

85

Which of these clouds contain only numbers that are smaller than 7 ? <image1>

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

images/85.jpg

D

null

2

arithmetic

86

Which of the 5 pictures shows a part of this chain? <image1> <image2>

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

images/86.jpg

C

null

1

combinatorial geometry

87

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>

[ "$4 \\mathrm{~kg}$", "$8 \\mathrm{~kg}$", "$30 \\mathrm{~kg}$", "$56 \\mathrm{~kg}$", "$112 \\mathrm{~kg}$" ]

images/87.jpg