IKMC 2027 - Grades 3-4 - Self-study SET 21 - Thematic Batch 3

Question 1

Zita walks home, moving only right or down through the grid. In each cell she may collect the number of mushrooms shown. What is the greatest number she can collect?

1. 6
2. 7
3. 8
4. 9
5. 10

Question 2

Place digits 0,1,2,3,4,5,6 in the seven empty cells to make the addition correct, using each digit once. Which digit goes in the grey cell?

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

Question 3

A square sheet is cut into three pieces. Two pieces are shown. Which pictured piece is the missing one?

Question 4

The 4 × 4 grid contains numbers in its unit cells. Mary seeks the 2 × 2 square with the largest sum. What is that sum?

1. 11
2. 12
3. 13
4. 14
5. 15

Question 5

Rain starts in Edinburgh at 17:00 on 15 March and stops at 15:00 on 17 March. For how many hours does it rain?

1. 22 hours
2. 44 hours
3. 46 hours
4. 48 hours
5. 50 hours

Question 6

Which of the following equalities is correct?

1. 12 ÷ (4 + 8) = 11
2. 8 × 2 + 3 = 40
3. 2 × 3 + 4 × 5 = 50
4. (10 + 8) ÷ 2 = 14
5. 18 − 6 ÷ 3 = 16

Question 7

Maria performs the subtractions shown and obtains the numbers 0 to 5. She then connects the points in order from result 0 to result 5. Which picture does she obtain?

Question 8

Five screws are fitted into a tabletop as shown. Four have the same length; one is shorter. Which screw is shorter?

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

Question 9

Vero’s mother makes sandwiches with two bread slices each. One bag contains 24 slices. How many sandwiches can she make from two bags?

1. 24
2. 30
3. 48
4. 34
5. 26

Question 10

A basketball team scores 356 points in four games. It scores 95 and 103 in the first two games, then equal numbers of points in the next two. How many points does it score in the last game?

1. 76
2. 78
3. 79
4. 82
5. 86

Question 11

Basil wants to write MATHEMATICS on paper so that different letters use different colours. The source repeats this condition. How many colours does he need?

1. 7
2. 8
3. 9
4. 10
5. 13

Question 12

Five children care for a large square garden divided into five plots as shown. Anne and Betty care for the two square plots, each with perimeter 720 m. Cindy, Debbie and Elsa care for three congruent rectangles. What is the perimeter of Elsa’s plot?

1. 600 metres
2. 560 metres
3. 440 metres
4. 360 metres
5. 300 metres

Question 13

Which of the pictured shapes has a different area from the others?

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

Question 14

Look at Figure 1. After gear A makes one full turn, to which labelled position a,b,c,d or e in Figure 2 does tooth x move?

1. a
2. b
3. c
4. d
5. e

Question 15

Eight kings are on the shown 4 × 4 board. In one move, a king may go to an empty cell sharing an edge or a corner. What is the fewest moves needed to leave exactly two kings in every row and every column?

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

Question 16

The first picture shows Sophia the ladybug. She turns left and right during her morning exercise. Which of the other pictures cannot show Sophia?

Question 17

A wall has a repeating pattern of large white squares, grey squares and small white squares with grey circles. Part of the wall is damaged. How many large white squares are needed to repair it?

1. 9
2. 8
3. 7
4. 6
5. 5

Question 18

Today is 15 March 2012 and my duck is exactly 20 days old. On what date did it hatch? February 2012 has 29 days because it is a leap year.

1. 19 February
2. 21 February
3. 23 February
4. 24 February
5. 26 February

Question 19

Max folds a square sheet and punches three circular holes as shown. Which picture appears when he opens the sheet?

Question 20

Chris builds the shown rectangular block from white and red unit cubes. All cubes on the outside are white; every cube strictly inside is red. How many red cubes does he use?

1. 12
2. 24
3. 36
4. 40
5. 48