Shape Rotation Sequences
6 Class 6 IMO Mathematics Olympiad practice questions on shape rotation sequences, part of the Visual & Spatial Reasoning topic area. Every question below includes the correct answer and a full explanation.
Practice this topic interactively →1. The arrow shown points in its starting direction (0°). If it rotates 90° clockwise, which of the following shows its new direction?
- A.
- B.
- C.
- D.
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Answer: A
Rotating 90° clockwise from 0° gives 90°, matching option A. Each option here shows a different clockwise rotation from the starting arrow.
2. The flag shown points in its starting direction (0°). If it is rotated 180°, which of the following matches?
- A.
- B.
- C.
- D.
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Answer: B
Rotating 180° from the starting position always points the flag in the exact opposite direction, at 180° — option B.
3. The arrow shown points at 45° clockwise from its starting direction. If it continues rotating in steps of 45° clockwise, what will it look like after 2 more steps?
- A.
- B.
- C.
- D.
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Answer: B
45° plus two more 45° steps: 45 + 45 + 45 = 135°, matching option B.
4. An arrow starts pointing in the direction shown (0°) and rotates 60° clockwise at each step. Which of the following shows its direction after 4 steps?
- A.
- B.
- C.
- D.
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Answer: B
Rotating 60° clockwise four times: 60 × 4 = 240°, matching option B.
5. The arrow shown points 90° clockwise from the reference direction. If it rotates 90° anticlockwise (counter-clockwise), which of the following matches?
- A.
- B.
- C.
- D.
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Answer: A
Rotating 90° anticlockwise from 90° brings it back to 90 − 90 = 0°, the starting direction — option A.
6. The flag shown points 30° clockwise from the reference direction. After rotating 270° more clockwise, which of the following matches its final direction?
- A.
- B.
- C.
- D.
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Answer: A
30° plus a further 270° clockwise rotation is 30 + 270 = 300°, matching option A.