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IKMC 2009 — Grades 3–4

Question 2

Four sticks have 8 ends. How many ends do 7 sticks have?
  1. 6
  2. 8
  3. 12
  4. 13
  5. 14

Question 3

Where is the Kangaroo?

Question illustration
  1. In the circle and in the triangle but not in the square.
  2. In the circle and in the square but not in the triangle.
  3. In the triangle and in the square but not in the circle.
  4. In the circle but in neither the square nor the triangle.
  5. In the square but in neither the circle nor the triangle.

Question 4

In the picture you see the number 930. How many small squares must be changed so that the number becomes 806?

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  1. 5
  2. 6
  3. 7
  4. 8
  5. 9

Question 5

Mother bought 16 mandarins. Karl ate half of them, Eva ate two, and Dana ate the rest. How many mandarins did Dana eat?
  1. 4
  2. 6
  3. 8
  4. 10
  5. 12

Question 6

In his garden, Tony made a pathway using 10 paving stones. Each paver was 4 dm wide and 6 dm long. He then drew a black line connecting the middle points of the paving stones. How long is the black line?

Question illustration
  1. 24 dm
  2. 40 dm
  3. 46 dm
  4. 50 dm
  5. 56 dm

Question 7

Sophie rolled a die four times and scored a total of 23 points. How many times did she roll a six?
  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

Question 8

A certain film is 90 minutes long. It begins at 17:10. During the film, there are two commercial breaks, one lasting eight minutes and the other five minutes. At what time will the film end?
  1. 18:13
  2. 18:27
  3. 18:47
  4. 18:53
  5. 19:13

Question 9

In a dance group, there are 25 boys and 19 girls. Every week, 2 more boys and 3 more girls join the group. After how many weeks will there be the same number of boys as girls in the dance group?
  1. 6
  2. 5
  3. 4
  4. 3
  5. 2

Question 10

Peter shared a bar of chocolate. First he broke off a row with five pieces for his brother Bruder. Then he broke off a column with 7 pieces for his sister Schwester. How many pieces were there in the entire bar of chocolate?

Question illustration
  1. 28
  2. 32
  3. 35
  4. 40
  5. 54

Question 11

A farmer has 30 cows, some chickens and no other animals. The total number of chicken legs is equal to the total number of cow legs. How many animals does the farmer have?
  1. 60
  2. 90
  3. 120
  4. 180
  5. 240

Question 12

The figure X is paired with the figure Y.

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Which of the following figures is paired with the figure G?
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Question 13

The length of a rectangle is 8 cm. The width is half as long. How long are the sides of a square that has the same perimeter as the rectangle?
  1. 4 cm
  2. 6 cm
  3. 8 cm
  4. 12 cm
  5. 24 cm

Question 14

Thomas has made a table out of small cubes. How many small cubes did he use?

Question illustration
  1. 24
  2. 26
  3. 28
  4. 32
  5. 36

Question 15

Three squirrels Anni, Asia and Elli have collected 7 nuts. They have all collected a different amount of nuts, and everybody has collected at least one nut. Anni has collected the least and Asia the most. How many nuts has Elli collected?
  1. 1
  2. 2
  3. 3
  4. 4
  5. Not possible to answer

Question 16

Which of the following diagrams cannot be made with the two given dominos?

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Question 17

A white pig and a black pig together weigh 320 kg. The black pig weighs 32 kg more than the white one. How much does the white pig weigh?
  1. 128 kg
  2. 144 kg
  3. 160 kg
  4. 176 kg
  5. 192 kg

Question 18

Anna and Peter live on the same side of a road. On one side of Anna’s houses, there are 27 houses, and on the other side, there are 13 houses. Peter’s house is on the right side of Anna’s house and is located midway of the road. How many houses are there between Anna’s house and Peter’s house?

Question illustration
  1. 6
  2. 7
  3. 8
  4. 14
  5. 21

Question 19

A secret agent wants to crack a six digit code. He knows that the sum of the digits in the even positions is equal to the sum of the digits in the odd positions. One of the following numbers is the code. Which one is that?
  1. $81**61$
  2. $7*727*$
  3. $4*4141$
  4. $12*9*8$
  5. $181*2*$

Question 20

Meta collects pictures of famous sports people. Each year she collects as many pictures as she did in the previous two years. In 2008 she collected 60 photos and in 2009 she collected 96. How many photos did she collect in 2006?
  1. 20
  2. 24
  3. 36
  4. 40
  5. 48