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IKMC 2021 - Grades 3-4 - Set 2 - Self-study

Question 1

How many fish will point their heads towards the ring when the line is straightened?

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

Question 2

Erik has the four bricks shown: one white and three grey. Which cube can he build using them?

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Question 3

The four puzzle pieces form a rectangle showing a calculation. What is its result?

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  1. 6
  2. 15
  3. 18
  4. 24
  5. 33

Question 4

Alaya draws the sun shown. Which option is a part of her picture?

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Question 5

Five boys shoot at targets. Ricky scores the most points. Which target is his?
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Question 6

A measuring tape is wrapped around a cylinder. Which number belongs at the question mark?

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  1. 33
  2. 42
  3. 48
  4. 53
  5. 69

Question 7

Denise fires a silver and a gold rocket. Together they make 20 stars. The gold rocket makes 6 more stars than the silver. How many stars does the gold rocket make?
  1. 9
  2. 10
  3. 12
  4. 13
  5. 15

Question 8

Balls of the same colour have equal weight. The three scales show the totals. What is the weight of one white ball?

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

Question 9

Nisa swaps exactly two cards. She wants all cards showing the same fruit to be together. For which starting row is this impossible?
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Question 10

Sofie picks one shape from each box and wants five different shapes. Which shape must she pick from box 4?

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Question 11

Eighteen cubes, coloured white, grey or black, form the block shown. The separate white and black parts are shown. Which option is the grey part?

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Question 12

Five balls move in the directions shown. When oppositely moving balls collide, the larger swallows the smaller and adds its value, then keeps its original direction. What is the final result?

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Question 13

An ice-cream shop has 70 euros in its drawer after selling 6 ice creams, and 120 euros after selling 16 in total. How much money was in the drawer at the start?
  1. 20
  2. 30
  3. 40
  4. 50
  5. 60

Question 14

A koala eats from three branches, each initially holding 20 leaves. It eats some leaves from the first branch, then eats from the second as many leaves as remain on the first. Finally it eats 2 from the third. How many leaves remain altogether?
  1. 20
  2. 22
  3. 28
  4. 32
  5. 38

Question 15

Four fire-escape ladders are shown. Three heights are marked. What is the height of the shortest ladder?

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  1. 12
  2. 14
  3. 16
  4. 20
  5. 22

Question 16

Nora repeatedly takes the leftmost cup, turns it upside down, and places it to the right of the others. The first move is shown. What do the cups look like after 10 moves?

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Question 17

Eva places the five stickers, one in each square 1–5. The star is not in square 5; the apple is in square 1; the flower is adjacent to both the circle and triangle. Which square contains the flower?

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  5. 5

Question 18

Seven cards are arranged as shown. Each has one upright and one upside-down number. The teacher turns just one card upside down so the top-row sum equals the bottom-row sum. Which card does she turn?

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  1. A
  2. C
  3. D
  4. F
  5. G

Question 19

The digits 1 through 9 are placed once each in the nine squares. All adjacent-pair sums are shown. Which number is in the shaded square?

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

Question 20

Mia hits balloons worth 3,9,13,14 and 18 points. She scores 30 in total. Which balloon must she have hit?

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  1. 3
  2. 9
  3. 13
  4. 14
  5. 18