IKMC 2016 - Grades 3-4 - Self-study

Question 1

Amy, Bert, Carl, Doris and Ernst each rolled two dice and added the number of dots. Who rolled the largest total?

1. Amy
2. Bert
3. Carl
4. Doris
5. Ernst

Question 2

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

Question 3

What number replaces the question mark in the calculation diagram?

1. 24
2. 28
3. 36
4. 56
5. 80

Question 4

What does Pipo see when he looks at himself in the mirror?

Question 5

Geoff goes with his father to a circus. Their seats are numbered 71 and 72. Which way should they go?

Question 6

1. 2 and a half
2. 3
3. 4
4. 5
5. 6

Question 7

A rectangle is partly hidden behind a curtain. What shape is the hidden part?

1. A triangle
2. A square
3. A hexagon
4. A circle
5. A rectangle

Question 8

Which one of the following sentences correctly describes the picture?

1. There are as many circles as squares.
2. There are fewer circles than triangles.
3. There are twice as many circles as triangles.
4. There are more squares than triangles.
5. There are two triangles more than circles.

Question 9

1. 2007
2. 2025
3. 2034
4. 2108
5. 2134

Question 10

The mouse wants to escape from the maze. How many different paths can the mouse take without passing through the same gate more than once?

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

Question 11

Zoe has two cards. She wrote a number on both sides of each card. The sum of the two numbers on the first card equals the sum on the second card. The sum of all four numbers is 32. What could be the two numbers on the sides that we cannot see?

1. 7 and 0
2. 8 and 1
3. 11 and 4
4. 9 and 2
5. 6 and 3

Question 12

Which tile fits in the middle such that only lines with the same colour touch each other?

Question 13

Five children had a paper square, a paper triangle and a paper circle. Every child placed their own papers in a pile, as shown. How many children placed the triangle above the square?

1. 0
2. 1
3. 2
4. 3
5. 4

Question 14

Which three of the five jigsaw pieces shown can be joined together to form a square?

1. V, X and Y
2. V, U and Y
3. V, Z and Y
4. X, Z and Y
5. U, X and Y

Question 15

Loes has started to write some numbers in the table. She decides that each row and column will contain the numbers 1, 2 and 3 exactly once. What is the sum of the numbers that she will write in squares A and B?

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

Question 16

John has a board with 11 squares. He puts a coin in each of eight neighboring squares without leaving any empty squares between the coins. What is the maximum number of squares in which one can be sure that there is a coin?

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

Question 17

Having turned a card over around its right side, we see what is drawn in the figure. What shall we see if we turn this card over around its upper side?

Question 18

1. 25
2. 27
3. 29
4. 30
5. 60

Question 19

Magic trees grow in a magic garden. Each tree contains either 6 pears and 3 apples or 8 pears and 4 apples. There are 25 apples in the garden. How many pears are there?

1. 35
2. 40
3. 45
4. 50
5. 56

Question 20

1. 4
2. 5
3. 6
4. 8
5. 9