What is Rotation?
Rotation questions ask you to identify what a shape looks like after it has been turned (rotated) by a certain amount – usually 90 degrees (quarter turn), 180 degrees (half turn), or 270 degrees (three-quarter turn).
The shape keeps its size and proportions – it just faces a different direction. Understanding rotation is essential for many non-verbal reasoning question types.
Step-by-Step Method
Identify the rotation amount
Is it 90 degrees (quarter turn), 180 degrees (half turn), or 270 degrees (three-quarter turn)? And which direction – clockwise or anticlockwise?
Pick a reference point
Choose a distinctive feature of the shape (like a corner, arrow, or dot) and track where it moves to after the rotation.
Rotate the whole shape
Turn the entire shape by the specified amount. Every part moves by the same angle.
Check the result
Verify that your rotated shape has all the features in the correct new positions.
Worked Examples
An arrow pointing up is rotated 90 degrees clockwise. Which direction does it point?
Working
- 90 degrees clockwise from up:
- Up turns to right.
- The arrow now points right.
A letter L (with the base going right) is rotated 180 degrees. What does it look like?
Working
- 180 degrees turns everything upside down.
- The L was going down then right.
- After 180 degrees, it goes up then left.
- It looks like a backwards and upside-down L (like the number 7 rotated).
A clock shows 3 o’clock (hands pointing at 12 and 3). After rotating the clock 90 degrees anticlockwise, where do the hands point?
Working
- 90 degrees anticlockwise: every position moves a quarter turn anticlockwise.
- The 12 position moves to the 9 position.
- The 3 position moves to the 12 position.
- So the hands now point at 9 and 12.
Common Mistakes
Confusing clockwise and anticlockwise rotation.
Clockwise follows the direction clock hands move (right, down, left, up). Anticlockwise is the opposite.
Reflecting the shape instead of rotating it.
Rotation turns the shape around a point. Reflection flips it across a line. They give different results.
Top Tips
- Use your hands: hold an imaginary shape and physically turn it to see where features end up.
- For 90 degrees clockwise: what was on top goes to the right, what was on the right goes to the bottom.
- For 180 degrees: everything flips to the opposite side (top to bottom, left to right).
- Practise with real objects – rotate a book or a piece of paper with a letter on it.
- Remember: rotating a shape does not change its size or proportions.
Ready to practise?
Put these techniques into action with our free practice papers.
Practise Non-Verbal Reasoning Questions