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IKMC 2025 - Grades 3-4 - Set 2 - Self-study

Question 1

Mia adds small cubes one at a time to build a 3 × 3 × 3 cube. She takes these five pictures at different times. Which is the fourth picture?
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Question 2

Simona puts the digits 2, 0, 2, 5 in the boxes of □ + □ − □ + □. Which order gives the largest result?
  1. 0, 2, 2, 5
  2. 0, 5, 2, 2
  3. 2, 5, 2, 0
  4. 5, 0, 2, 2
  5. 5, 2, 0, 2

Question 3

Which rope ties into a knot when its two ends are pulled?
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Question 4

Larissa spins her sail. Which sail could be hers?

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Question 5

On a normal die, opposite faces have a total of 7 spots. Which die could be normal?
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Question 6

Alex steps on the tracks shown. Which pattern is hidden beneath her shoe?

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Question 7

Kenny jumps from School to Zoo: ↑ 2, ↖ 2, ↙ 1, ← 4, as drawn. From Zoo he then jumps → 3, ↗ 2, ↑ 2. Which house does he reach?

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Question 8

Which pinwheel can Jorge build using the three rods shown?

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Question 9

Each shell is worth 6 and each marble is worth 1. Which collection has total value 16?
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Question 10

Anna, Bonnie and Caspar have the cookies shown on their plates. They share the 15 cookies on the tray so that all three finish with equal numbers. How many more cookies does Anna get?

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

Question 11

Five identical phones were fully charged in the morning. Bob talks as much as Ann and Cristina together and runs out of power. David does not use his phone. Which phone belongs to Edward?

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

Question 12

Which two pieces complete the chessboard?

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

Question 13

Renée gives 210 grams of food to six sheep. The smallest sheep gets twice as much as each of the other five. How much does the smallest get?

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  1. 55 grams
  2. 60 grams
  3. 70 grams
  4. 75 grams
  5. 80 grams

Question 14

Tom wants one straight cut to divide the pizza into two halves with equal numbers of tomatoes. Which two marked lines could he use?

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

Question 15

Maria uses each of 1, 2, 3, 4, 5, 6, 7 once. Each lower circle is the sum of the two connected circles above it. What is the starred number?

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  1. 2
  2. 3
  3. 4
  4. 5
  5. 7

Question 16

Bob makes a square using four rectangular pieces. Three are shown. Which is the fourth piece?

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Question 17

Six ladybirds have 1, 2, 3, 4, 5 and 6 spots. Marta takes four photos of three ladybirds each. Every ladybird appears equally often. How many spots are in the fourth photo?

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  1. 9
  2. 10
  3. 11
  4. 12
  5. 23

Question 18

Nela folds a square in half, then in half again as shown. She cuts the folded paper and unfolds the pictured snowflake. Which cut folded piece did she use?

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Question 19

Leonia builds the pyramid using black and grey cubes. Cubes that share a face have different colours. The marked cube is black. What is the view from above?

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Question 20

The two shaded dates on this calendar total 29. On which weekday is the first of the month?

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  1. Monday
  2. Tuesday
  3. Wednesday
  4. Thursday
  5. Sunday