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IKMC 2009 - Grades 3-4 - Self-study

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?

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  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 each paving stone. How long is the black line?

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  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 often did she roll a six?
  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

Question 8

A certain film lasts 90 minutes. It begins at 17:10. During the film there are two advert 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?
  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. Then he broke off a column with 7 pieces for his sister. How many pieces were there in the entire bar of chocolate?

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  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 chickens’ legs is equal to the total number of cows’ legs. How many animals does the farmer have?
  1. 60
  2. 90
  3. 120
  4. 180
  5. 240

Question 12

Picture X is paired with picture Y. Which of the following pictures is paired with picture 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?

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  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, 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 is impossible to make with the two dominoes?

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Question 17

A white and a black pig weigh together 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 in the same street. On one side of Anna’s house there are 27 houses, and on the other side 13 houses. Peter lives in the house right in the middle of the street. How many houses are there between Anna’s and Peter’s houses?

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  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. Which of the following numbers is the code? The asterisks hide digits.
  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 had 60 photos and this year she has 96. How many photos did she have in 2006?
  1. 20
  2. 24
  3. 36
  4. 40
  5. 48