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IKMC 2027 - Grades 3-4 - Self-study SET 17 - Thematic Batch 3

Question 1

The diagram shows Peter’s home and school. Each city block is a square with side length 100 m. What is the length, in metres, of the shortest street route Peter can take to school?

Question illustration
  1. 100
  2. 200
  3. 350
  4. 450
  5. 500

Question 2

A magic square board contains numbers. In every row and every column, the middle number is the sum of the two numbers beside it. A witch has hidden some entries with spiders. Which numbers are hidden?

Question illustration
  1. 1; 2; 3; 4
  2. 8; 3; 4; 7
  3. 4; 5; 7; 2
  4. 5; 6; 8; 3
  5. 1; 2; 4; 5

Question 3

Four numbered gears are arranged as shown. Gear 1 has 40 teeth, gear 2 has 20, gear 3 has 80 and gear 4 has 10. When gear 1 makes one complete turn, how many turns does gear 4 make?

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

Question 4

Peter and Paul share 140 cookies. Peter, the younger brother, receives 20 more cookies than Paul. How many cookies does Peter receive?

Question illustration
  1. 60
  2. 50
  3. 80
  4. 20
  5. 90

Question 5

Witch Litz gives Mickey a 3-by-3 square board and a blue pencil. Mickey colours some cells, then writes numbers below the columns and to the left of the rows to show how many coloured cells each contains. Litz makes the blue colour disappear. Which of the following numbered boards could Mickey have coloured?
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Question 6

Which numbers in the diagram lie inside both the rectangle and the circle, but outside the triangle?

Question illustration
  1. 5 and 11
  2. 1 and 10
  3. 13 and 4
  4. 3 and 9
  5. 6 and 4

Question 7

Sylvia uses hexagonal tiles to make the figures shown. How many tiles does she need for the fifth figure?

Question illustration
  1. 37
  2. 49
  3. 57
  4. 61
  5. 64

Question 8

Mike sets the table with plates, forks and knives as shown. At how many place settings is the fork on the left of the plate?

Question illustration
  1. 5
  2. 4
  3. 6
  4. 2
  5. 3

Question 9

A digital clock displays hours and minutes as two numbers. For example, at 10:03 p.m. it displays 22:03. How many times in one day are the hour number and minute number equal?

Question illustration
  1. 12
  2. 25
  3. 23
  4. 24
  5. 13

Question 10

In the multiplication table below, which two letters represent equal numbers?

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  1. L and M
  2. X and N
  3. R and P
  4. K and P
  5. M and S

Question 11

A large cube is made from 64 equal small cubes. Five faces of the large cube are painted grey. How many small cubes have exactly three grey faces?

Question illustration
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

Question 12

Leonie has ten stamps, one for each digit 0,1,2,3,4,5,6,7,8,9. She wants to stamp Kanga’s birthday as shown. How many different stamps must she use?

Question illustration
  1. 5
  2. 6
  3. 7
  4. 9
  5. 10

Question 13

Maria describes one of the shapes: “It is not a square. It is shaded grey. It is not a triangle.” Which shape does she describe?

Question illustration
  1. Shape A
  2. Shape B
  3. Shape C
  4. Shape D
  5. Shape E

Question 14

Carlo wants to make shapes using the two triangles shown. Which of the following shapes can he not make?

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Question 15

Eve arranges letter cards in the row shown. In one move she may swap any pair of cards. What is the minimum number of moves needed to spell KANGAROO?

Question illustration
  1. 2
  2. 3
  3. 4
  4. 5
  5. 6

Question 16

A digital clock can show times from 0:00 to 23:59. It currently shows 20:12. After at least how many minutes will it display a time using the same digits as now?

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  1. 68 minutes
  2. 138 minutes
  3. 129 minutes
  4. 50 minutes
  5. Another answer

Question 17

Sofiko rolls a die four times and gets a total of 23 dots. How many times does she roll a six?

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

Question 18

Three camels, Gopal, Ropal and Kopal, cross the Sahara together. Gopal leads, Ropal walks in the middle and Kopal is last. Gopal is 100 kg heavier than Ropal, and Ropal is 300 kg lighter than Kopal. Which picture shows them in the correct order?
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Question 19

What is the value of 2 + 2 − 2 + 2 − 2 + 2 − 2 + 2?

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  1. 0
  2. 2
  3. 4
  4. 12
  5. 20

Question 20

An ant starts at M and may travel only along the paths in the arrow directions shown. How many different routes can it take from M to N?

Question illustration
  1. 5
  2. 6
  3. 7
  4. 12
  5. 14