IKMC 2016 — Grades 3–4

Question 1

Amy, Bert, Carl, Doris and Ernst each rolled two dice and added the numbers 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

Which answer completes the calculation tree?

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

Question 4

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

| Direction | Seats |
| --- | --- |
| ↑ | 1 to 20 |
| → | 21 to 40 |
| ← | 41 to 60 |
| ↗ | 61 to 80 |
| ↖ | 81 to 100 |

Question 5

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

Question 6

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

Question 7

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

1. Triangle
2. Square
3. Regular hexagon
4. Circle
5. 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 each side of both cards. The sum of the two numbers on the first card is equal to the sum of the two numbers on the second card. The sum of the four numbers is 32. What are the two numbers on the sides that are not shown in the picture?

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 in the pictures.

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 pieces shown can be joined together to form a square?

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

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, each number exactly once. What is the sum of the numbers that she will write in the two shaded squares?

| Column 1 | Column 2 | Column 3 |
| --- | --- | --- |
| 1 | | |
| | 2 | Shaded |
| | | Shaded |

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

Question 16

John has a game board with 11 cells. He places one coin in each of eight cells that lie next to each other. He can choose the cell to place his first coin in. No matter where John starts, some cells will definitely have a coin. How many cells will definitely have 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

Tim, Tom and Jim are triplets (three brothers were born on the same day). Their brother Paul is exactly 3 years older. Which of the following numbers can be the sum of the ages of the four brothers?

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

Question 19

My dogs have 18 more legs than noses. How many dogs do I have?

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

Question 20

Rachel adds seven numbers and gets 2016. One of the numbers in the addition is 201. She replaces the number 201 with 102. What new sum does she get?

1. 1815
2. 1914
3. 1917
4. 2115
5. 2118