IKMC 2022 - Grades 3-4 - Self-study

Question 1

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

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

Question 2

Question 3

Rossitza wants to put 2 coins in each row and in each column of the grid. Which coin does she need to move to an empty cell?

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

Question 4

What is the smallest number of boxes that Bill has to move to be able to open the dark TRAIN box?

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

Question 5

Kengu always makes one large jump followed by two small jumps on the number line, as shown in the picture. Kengu starts at 0 and ends on 16. What is the number of jumps that Kengu makes?

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

Question 6

Anna makes a jigsaw where two squares with common sides do not contain the same number. Which piece should she use to complete her jigsaw?

Question 7

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 will he see if he looks at his tower from above?

Question 9

Five cars numbered 1, 2, 3, 4 and 5 are moving in the same direction.
First, the last car (5) overtakes the two cars ahead of it. Next, the second last car overtakes the two cars ahead of it. Finally, the middle car overtakes the two cars ahead of it. In what order are the cars now?

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

The ages of a family of kangaroos are 2, 4, 5, 6, 8 and 10 years. The sum of the ages of four of them is 22 years. What are the ages of the other two kangaroos?

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

Question 11

Question 12

Mosif wanted the sum of the three numbers in each row and in each column of the grid to be the same. He made one mistake. Which number must he correct?

1. 1
2. 3
3. one of the 4s
4. 5
5. one of the 7s

Question 13

Aladdin has a square carpet. There are the same number of dots, arranged in two lines, along each side of his carpet. Unfortunately, the carpet has folded. How many dots are there on Aladdin’s carpet?

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

Question 14

Joanna folds the number square twice as shown. Then she punches a hole through the black spot shown by the arrow. Which numbers does she also punch through?

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

1. 10
2. 17
3. 18
4. 27
5. 36

Question 16

Some shapes are drawn on a piece of paper. The teacher folded the paper along the red line. How many of the shapes on the left will fall exactly on top of shapes on the right?

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

Question 17

Wanda chose a few of the following shapes and said “Amongst the shapes I have chosen, there are 2 coloured ones, 2 large ones and 2 round ones.” What is the smallest number of the following shapes that Wanda could have chosen?

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

Question 18

The puzzle on the left should be completed to look like the puzzle on the right. What piece should be used?

Question 19

Karin sailed around four buoys, as shown. Which buoys did Karin sail around in a counterclockwise direction?

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

Question 20

Alma wants to put one of the pieces shown in the middle of the picture so that a child in A is able to travel to B and to E, but not to D. She can rotate the pieces. Which two pieces could she use?

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