IKMC 2020 - Grades 3-4 - Self-study

Question 1

Question 2

Which piece completes the pattern?

Question 3

Tysger shades all the squares in the grid where the result is 20. Which shape does he get?

Question 4

Question 5

You can make different figures by using these pieces. Which one of the figures below can you make with these pieces?

Question 6

Elli draws the big square with chalk on the pavement. She starts jumping from number 1. Each time she jumps, she always jumps to a number that is 3 more than the number she is standing on. What is the largest number Elli can jump onto?

1. 11
2. 14
3. 18
4. 19
5. 24

Question 7

Jorge glues these 6 stickers to the faces of a cube. The pictures show the cube in two positions. Which sticker is on the opposite face to the duck?

Question 8

Casper has the following 7 pieces. He uses some of these pieces to fully cover this grid without overlap. He uses as many different pieces as possible. How many pieces does Casper use?

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

Question 9

Cindy colours each region on the pattern either red, blue or yellow. She colours regions that touch each other with different colours. She colours the outer ring (region) of the pattern red. How many regions does Cindy colour red?

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

Question 10

Loes looks at the pyramid from above. What does Loes see?

Question 11

Dennis ties a dog 1 metre from a corner of a 7 metres by 5 metres hut as shown, using an 11 metres long leash. Dennis places 5 treats as shown. How many of the treats could the dog reach?

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

Question 12

Lonneke builds a fence using 1 metre long poles. The picture shows a 4 metres long fence. How many poles does Lonneke need to build a 10 metres long fence?

1. 22
2. 30
3. 33
4. 40
5. 42

Question 13

Every time the kangaroo goes up 7 steps, the rabbit goes down 3 steps. On which step do they meet?

1. 53
2. 60
3. 63
4. 70
5. 73

Question 14

1. 9
2. 11
3. 13
4. 17
5. 23

Question 15

Amelie wants to build a crown using 10 copies of this token. When two tokens share a side, the corresponding numbers match. Four tokens have already been placed. Which number goes in the triangle marked with an X?

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

Question 16

Farid has two types of sticks: short ones, measuring 1 cm, and long ones, measuring 3 cm. With which combination below can he make a square, without breaking or overlapping the sticks?

1. 5 short and 2 long
2. 3 short and 3 long
3. 6 short
4. 4 short and 2 long
5. 6 long

Question 17

A standard die has 7 as the sum of the dots on opposite faces. The die is put on the first square as shown and then rolls towards the right. When it gets to the last square, what is the total number of dots on the three faces marked with question marks?

1. 6
2. 7
3. 9
4. 11
5. 12

Question 18

6 people each order one scoop of ice cream: 3 scoops of vanilla, 2 scoops of chocolate and 1 scoop of lemon. They use 3 cherries, 2 wafers and 1 chocolate chip as toppings, one topping on each scoop, so that no two ice creams are alike. Which combination is not possible?

1. chocolate with a cherry
2. vanilla with cherry
3. lemon with a wafer
4. chocolate with a wafer
5. chocolate with a wafer

Question 19

1. Abbey Lilly Cora
2. Abbey Laura Cora
3. Adele Laura Cleo
4. Adele Lilly Cora
5. Abbey Laura Cleo

Question 20

The teacher writes the numbers from 1 to 8 on the board, then covers them with triangles, squares and a circle. The four numbers covered by triangles sum to 10. The three numbers covered by squares sum to 20. Which number is covered by the circle?

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