Spotting a constant rotation in an abstract reasoning sequence
A single radius rotates by a constant 45 degrees anticlockwise at each step.
Which figure completes the sequence?
?
Worked solution
Correct answer: the second option
The principle
A single radius rotates by a constant 45 degrees anticlockwise at each step.
Steps
- In the first figure the radius points to 3:00. In the second it points to 1:30, a rotation of 45 degrees anticlockwise.
- In the third figure it points to 12:00, again 45 degrees anticlockwise. The rule is a constant 45 degree anticlockwise rotation.
- A further 45 degrees anticlockwise from 12:00 gives 10:30.
- The correct figure shows a single radius pointing to 10:30, so it is the answer.
Heuristic to carry forward
Read rotation as clock positions rather than degrees: fix the step size from the first two figures, confirm it on the third, then extend it once. Check the number of line segments too, since a rotation series is often paired with a distractor that changes the count rather than the angle.
Why each other answer is wrong
- the third option
- Applies a rotation of 90 degrees rather than 45, treating the gap from the third figure to the answer as two steps instead of one.
- the first option
- Rotates clockwise instead of anticlockwise, reversing the direction established by the sequence.
- the fourth option
- Points at the correct angle but is drawn as a full diameter rather than a single radius, changing the number of line segments rather than only the angle.
Practise more questions like this one at the Wamberry practice page.