IKMC 2019 - Grades 3-4 - Set 2 - Self-study

Question 1

The higher a step on the podium, the higher the runner’s rank. Who finished third?

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

Question 2

Each dot represents 1, and each bar represents 5. The example represents 8. Which picture represents 12?

Question 3

Question 4

A book cover has two holes. The open book is shown. Which pictures does Olaf see through the holes when he closes the book?

Question 5

Karina cuts out one piece consisting of two squares sharing an edge from the patterned sheet. Which piece can she obtain?

Question 6

Three people walked across snow wearing muddy shoes. Their overlapping footprints are shown. In what order did they walk?

Question 7

Pia makes shapes from the connected sticks shown. Which of the following shapes requires more sticks than she has?

Question 8

Complete all the intersecting calculations correctly. Which number replaces the question mark?

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

Question 9

Linda pins three photos in a row using eight pins as shown. Peter pins seven photos in the same way. How many pins does he need?

1. 14
2. 16
3. 18
4. 22
5. 26

Question 10

Dennis removes one square cell from the five-cell shape shown. How many of the five displayed four-cell shapes can he obtain, allowing a turn?

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

Question 11

Six strips are woven into the pattern shown. What does the pattern look like from the back?

Question 12

The toy dog’s weight is a whole number of kilograms. The balances are shown. How much does one toy dog weigh?

1. 7 kg
2. 8 kg
3. 9 kg
4. 10 kg
5. 11 kg

Question 13

1. 5
2. 10
3. 13
4. 15
5. 20

Question 14

Steven places the digits 2,0,1,9 once each in the four boxes to make the largest possible result. Which digit could be in the question-mark box?

1. Either 0 or 1
2. Either 0 or 2
3. Only 0
4. Only 1
5. Only 2

Question 15

A full glass of water weighs 400 g, and the empty glass weighs 100 g. How much does a half-full glass weigh?

1. 150 g
2. 200 g
3. 225 g
4. 250 g
5. 300 g

Question 16

An apple and a pear together cost 5 cents; a banana and an apple cost 7 cents; a pear and a banana cost 10 cents. What do all three fruits cost together?

1. 8 cents
2. 9 cents
3. 10 cents
4. 11 cents
5. 12 cents

Question 17

Each shape represents a different number. The three row sums are shown. Which number does the star represent?

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

Question 18

Anna uses 32 small white squares to frame a 7 × 7 picture as shown. How many white squares are needed to frame a 10 × 10 picture in the same way?

1. 36
2. 40
3. 44
4. 48
5. 52

Question 19

1. 49
2. 64
3. 66
4. 74
5. 80

Question 20

The hallway has the dimensions shown. A cat follows the dashed line along the middle of the hallway. How far does it walk?

1. 63 m
2. 68 m
3. 69 m
4. 71 m
5. 83 m