IKMC 2020 - Grades 3-4 - Set 2 - Self-study

Question 1

Question 2

Which piece completes the pattern?

Question 3

Tysger shades every square whose calculation equals 20. Which shape does he get?

Question 4

Question 5

You can make figures using all the pieces shown. Which figure can you make?

Question 6

Elli starts on 1. Each jump takes her to a number 3 greater than the current number. What is the largest number she can land on in this grid?

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

Question 7

Jorge sticks the six pictures on the faces of a cube. Two views are shown. Which picture is opposite the duck?

Question 8

Casper has the seven pieces shown. He covers the whole row without overlap, using as many different pieces as possible. How many pieces does he use?

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

Question 9

Cindy colours every region red, blue or yellow. Regions sharing a boundary have different colours. The outer ring is red. How many regions are red?

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

Question 10

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

Question 11

Dennis ties a dog 1 metre from a corner of a 7 m by 5 m hut, as shown, with an 11 m leash. Five treats are placed at the marked positions. How many can the dog reach?

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

Question 12

Lonneke builds a fence from 1 m poles. The picture shows a 4 m fence. How many poles does a 10 m fence of the same design require?

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

Question 13

Each time the kangaroo climbs 7 steps, the rabbit comes down 3 steps. They start at the bottom and step 100 as shown. 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 builds a crown from ten copies of the numbered token. Numbers on shared sides must match. Four tokens are already placed. Which number belongs in the triangle marked X?

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

Question 16

Farid has 1 cm short sticks and 3 cm long sticks. Which listed combination can form a square using all those sticks, without breaking or overlapping them?

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

Opposite faces of a standard die sum to 7. The die rolls to the right from the first square to the last as shown. What is the sum of the three faces marked with question marks?

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

Question 18

Six people order one scoop each:3 vanilla,2 chocolate,1 lemon. They use 3 cherries,2 wafers,1 chocolate chip, one topping per scoop, with no two identical flavour–topping combinations. Which combination is impossible?

1. chocolate with cherry
2. vanilla with cherry
3. lemon with wafer
4. chocolate with wafer
5. chocolate with 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 numbers 1 through 8 are covered by four triangles, three squares and one circle. The triangle numbers sum to 10, and the square numbers to 20. Which number is under the circle?

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