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IKMC 2023 - Grades 3-4 - Set 2 - Self-study

Question 1

Akira lights five identical candles at the same time. They stop burning at different times and now look as shown. Which stopped first?

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

Question 2

The two coins marked ? have equal values. What is the value of each?

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

Question 3

A grey circle with two holes covers the clock face as shown. It turns about its centre. Which two numbers can be seen together?

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  1. 4 and 9
  2. 5 and 9
  3. 5 and 10
  4. 6 and 9
  5. 7 and 12

Question 4

Alice has the four puzzle pieces shown. Which two can she join to make the square?

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

Question 5

The theatre lights follow the plan shown. For how many minutes in total are exactly two lights on together?

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

Question 6

Kristoffer folds the transparent paper along the dashed line as shown. What can he then see?

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Question 7

Anna has four discs of different sizes. She makes a tower using three discs, each smaller than the one below it. How many different towers can she make?

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

Question 8

Danny glues the grey semicircle and white quarter-circle on top of the black disc. Which picture cannot result?

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Question 9

The L-shape is covered by the five pieces shown. Which piece covers the dot?

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Question 10

Rossitza has weights of 1,2,3,4,5,6 kg. She puts five on the balanced scales as shown and leaves one aside. Which weight is left aside?

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  1. 1 kg
  2. 2 kg
  3. 3 kg
  4. 4 kg
  5. cannot be sure

Question 11

Some markings on Ali’s 60 cm ruler have faded. Using it once, he can measure each of 10,20,30,40,50,60 cm. Which ruler is his?
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Question 12

There are 7 houses north of Road A,5 south of Road A, and 8 east of Road B. How many are west of Road B?

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

Question 13

Eight cars wait for the ferry. Each contains two or three people, and there are 19 people altogether. How many cars contain exactly two?
  1. 2
  2. 3
  3. 4
  4. 5
  5. 6

Question 14

A train stops at stations A, B, C, D, E, F in a line, turning around at each end. It starts at B and its first stop is C. Which station is its 96th stop?

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

Question 15

Hatice colours the circles so circles joined by a line have different colours. What is the smallest number of colours needed?

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

Question 16

Sam walks through the two-storey maze from IN to OUT, passing three wall stickers. In what order does she see them?

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Question 17

Six beavers and two kangaroos stand in a line. Any three consecutive animals include exactly one kangaroo. Which numbered animal is a kangaroo?

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

Question 18

Rebecca folds a square twice as shown, then cuts off the indicated corner. What does the paper look like when unfolded?

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Question 19

Hermione, Harry and Ron enter one at a time. Hermione is never first, Harry never second, and Ron never third. How many entry orders are possible?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 6

Question 20

Of the five clocks, one is an hour fast, one an hour slow, one correct, and two have stopped. Which shows the correct time?

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