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IKMC 2022 - Grades 3-4 - Set 2 - Self-study

Question 1

Buzz the bee wants to reach the flower. Which directions get him there?

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  1. → ↓ → ↓ ↓ →
  2. ↓ ↓ → ↓ ↓
  3. → ↓ → ↓ →
  4. → → ↓ ↓ ↓
  5. ↓ → → ↓ ↓ ↓

Question 2

Four pictures show the same Great Wheel at different positions. Which picture is different?
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Question 3

Rossitza wants exactly two coins in every row and every column. Which labelled coin must she move to an empty cell?

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  1. A
  2. B
  3. C
  4. D
  5. E

Question 4

What is the smallest number of boxes Bill must move to open the dark TRAIN box?

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

Question 5

Kengu always makes one large jump followed by two small jumps, as shown. Starting at 0, she ends at 16. How many jumps does she make?

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  1. 4
  2. 7
  3. 8
  4. 9
  5. 12

Question 6

Anna completes the number jigsaw so no two squares sharing a side contain the same number. Which piece must she use?

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Question 7

2022+□=2020+□. Which pair of numbers can fill the boxes and make this true?
  1. 3 and 5
  2. 4 and 1
  3. 3 and 4
  4. 7 and 2
  5. 9 and 8

Question 8

John builds the tower shown. What does he see when looking straight down from above?

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Question 9

Cars 1,2,3,4,5 move in the same direction. The last car 5 overtakes two cars. Then the second-last car overtakes two cars. Finally the middle car overtakes two cars. What is the order from front to back?

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  1. 1,2,3,5,4
  2. 2,1,3,5,4
  3. 2,1,5,3,4
  4. 3,1,4,2,5
  5. 4,1,2,5,3

Question 10

Six kangaroos have ages 2,4,5,6,8,10. Four of their ages sum to 22. What are the ages of the other two?

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  1. 2 and 8
  2. 4 and 5
  3. 5 and 8
  4. 6 and 8
  5. 6 and 10

Question 11

Five postcards go to five friends. Mike’s has no ducks; Cara’s has the sun; Paula’s has exactly two living creatures; Lexi’s has a dog; Heather’s has kangaroos. Which card does Mike get?
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Question 12

Mosif wants every row sum and every column sum to be equal. He made one numerical mistake. Which entry must he correct?

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  1. 1
  2. 3
  3. an entry marked 4
  4. 5
  5. an entry marked 7

Question 13

Aladdin’s square carpet has equal numbers of dots in two rows along each side. The carpet is partly folded. How many dots are on the whole carpet?

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  1. 48
  2. 44
  3. 40
  4. 36
  5. 32

Question 14

Joanna folds the numbered square twice as shown, then punches the black spot. Which original numbers are punched?

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  1. 8,11,26,29
  2. 14,17,20,23
  3. 15,16,21,22
  4. 14,16,21,23
  5. 15,17,20,22

Question 15

A class sits in equal rows. Robert has two rows in front and one behind. In his own row, three pupils sit to his left and five to his right. How many pupils are in the class?
  1. 10
  2. 17
  3. 18
  4. 27
  5. 36

Question 16

The teacher folds the paper along the red line. How many shapes on the left fall exactly on matching shapes on the right?

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  1. one
  2. two
  3. three
  4. four
  5. five

Question 17

Wanda chooses shapes so exactly two are coloured, two are large, and two are round. What is the smallest number of shapes she can choose?

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  1. 2
  2. 3
  3. 4
  4. 5
  5. 6

Question 18

Complete the star on the left so it matches the star on the right. Which piece must be used?

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Question 19

Karin sails around four buoys along the route shown. Which buoys does she circle counterclockwise?

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  1. 1 and 3
  2. 2 and 3
  3. 3 and 4
  4. 1 and 2
  5. 2 and 4

Question 20

Alma may rotate a road piece and place it in the central gap. A child at A must be able to reach B and E, but not D. Which two pieces work?

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  1. 1 and 2
  2. 2 and 3
  3. 1 and 4
  4. 4 and 5
  5. 1 and 5