Rotation Puzzles
Turn the figure and pick what you would see. Or say how far it has already gone. Or spot which one has been flipped over instead of turned — the mistake this whole item type is built to catch. Sixty patterns, with the turn worked out after every attempt.
Also known as rotation of figures and group rotation.
A Whole-Canvas Turn, Never A Flip
A rotation puzzle shows a figure and asks what it looks like after a turn of 45°, 90°, 135° or 180°. The shape and its markings move together, rigidly. Nothing reflects, nothing resizes — and the options are built to exploit the difference between a turn and a flip.
How To Solve Rotation Puzzles
- Note the angle and the direction of the turn.
- Track one distinctive marking, not the whole outline.
- Check the marking lands where the angle puts it.
- Compare against every option, not just the first plausible one.
Track one point, not the shape. Following a single corner through the turn is faster and more reliable than rotating the whole figure in your head.
| Family | What it covers |
|---|---|
| Quarter turns | The 90° family — the turns you can check against the edge of the screen. |
| Half turns | 180°, where the figure ends up upside down and symmetry is easiest to mistake. |
| Eighth turns | 45° and its multiples, where under-counting the turn is the standard error. |
| Spot the rotation | Which of these is a genuine turn — and which has been flipped instead. |
| How far has it turned | Two pictures, and the angle between them. |
| Busier figures | More detail on the figure, so there is more to keep track of as it goes round. |
How Far, Which Way
The turns here run in 45° steps, and the distractors include the same angle turned the other way and the reflection at each angle — the two mistakes that feel right. Naming the direction out loud before you look is the cheapest defence.
Rotation Of Figures Puzzles Frequently Asked Questions
How do I tell a rotation from a reflection?
By handedness. Pick two details and note which side of one the other sits on. Turning never changes that; flipping always does.
Why does the outline sometimes not help?
Because shapes with rotational symmetry map onto themselves. A square is unchanged by a quarter turn, so only the marker and other details show that anything moved.
Is a 270° clockwise turn the same as 90° anticlockwise?
Yes — they land in the same place. The puzzles here state turns clockwise, but you are free to count whichever way is shorter.
How many puzzles are there?
There is no fixed number. Each puzzle is rebuilt from the short seed in the page address, so the supply is effectively unlimited.
How do I work out how far a figure has turned?
Pick one detail that appears only once — the ringed marker is ideal — and follow it from the first picture to the second. Count round clockwise in quarter turns first, then in eighths if it lands between them. Do not try to hold the whole figure in your head.
Why do some figures look the same after being turned?
A shape with rotational symmetry maps onto itself. A square looks identical after a quarter turn and a hexagon after a sixth of a turn, so the outline tells you nothing. In those questions the answer has to come from a detail such as the marker or a corner dot, which is exactly why every figure here carries one.
Is it free and does it need an account?
It is completely free and there is no account. Nothing is uploaded; your score is kept only in your own browser.
What is rotational symmetry?
A figure has rotational symmetry when turning it lands it back on a picture identical to the one you started with. The order is how many times that happens in a full turn — a square has order 4, an equilateral triangle order 3. It matters here because a figure with rotational symmetry cannot make a fair rotation question: several different turns would give the same picture, so more than one option would be right.