IKMC 2020 - Grades 5-6 - Set 2 - Self-study

Question 1

Which piece completes the pattern?

Question 2

1. Atown 2 km; Betown 9 km
   
   
2. Atown 3 km; Betown 8 km
   
   
3. Atown 5 km; Betown 6 km
   
   
4. Atown 8 km; Betown 3 km
   
   
5. Atown 9 km; Betown 4 km
   
   

Question 3

A large square is made up of smaller white and grey squares. What does the large square look like if the colours of the white and grey squares are interchanged?

Question 4

1. 1
2. 2
3. 3
4. 4
5. 8

Question 5

Flora reflects the letter F in the two lines shown. What will the reflections look like?

Question 6

Kim has several chains of length 5 and of length 7. By joining chains one after the other, Kim can create different lengths. Which of these lengths is impossible to make?

1. 10
2. 12
3. 13
4. 14
5. 15

Question 7

1. 3
2. 2
3. 6
4. 7
5. 8

Question 8

Cindy colours each region of the pattern below either red, blue or yellow. She colours regions that touch each other different colours. She colours the outer region blue. How many regions of the completed pattern are coloured blue?

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

Question 9

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

Question 10

A dog and a cat walk in the park along the path marked by the thick black line. The dog starts from P at the same time as the cat starts from Q. The dog walks three times as fast as the cat. At which point do they meet?

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

Question 11

The numbers from 1 to 10 have to be placed in the small circles, one in each circle. Numbers in any two neighbouring circles must have the same sum as the numbers in the two diametrically opposite circles. Some of the numbers are already placed. What number should be placed in the circle with the question mark?

1. 3
2. 4
3. 6
4. 7
5. 8

Question 12

When Elise the bat leaves her cave, a digital clock shows 20:20. When she returns and is hanging upside down, she sees 20:20 on the clock again. How long has she been away from her cave?

1. 3 hours and 28 minutes
2. 3 hours and 40 minutes
3. 3 hours and 42 minutes
4. 4 hours and 18 minutes
5. 5 hours and 42 minutes

Question 13

1. I am telling the truth.
2. You are telling the truth.
3. We both are telling the truth.
4. I always lie.
5. One and only one of us is telling the truth.

Question 14

Question 15

Question 16

1. 5
2. 6
3. 7
4. 13
5. 14

Question 17

Giorgio has two equal pieces of wire of the shape shown. Which of the following shapes cannot be obtained by putting together these two pieces?

Question 18

Amy glues the six stickers shown onto the faces of a cube. The pictures show the cube in two different positions. Which sticker is on the face opposite the face with the mouse on?

1. Elephant
   
   
2. Duck
   
   
3. Ladybird
   
   
4. Dog
   
   
5. Fly
   
   

Question 19

The picture shows the friendships of the six girls Ann, Beatrice, Chloe, Diana, Elisabeth and Fiona. Each number represents one girl and each line joining two numbers represents a friendship between those two girls. Chloe, Diana and Fiona each have four friends. Beatrice is friends with only Chloe and Diana. Which number represents Fiona?

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

Question 20

Mary put the same amount of liquid in three rectangular vessels. Viewed from the front, they seem to have the same size, but the liquid has risen to different levels in the three vessels. Which of the following images represents the three vessels when viewed from above?