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Maths · Geometry

Rotate a shape

Identify the result of one stated rotation.

Free to use and free to share. There is no sign-up, no score, and nothing a child does here is recorded or sent anywhere.

Practise it now

Exactly one of these readings comes out different. Which one?

This exercise practises rotate a shape alongside its own main skill, What Stays the Same When a Shape Moves.

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A worked example

One question of the kind this skill is tested with, worked all the way through: the reasoning, and what the wrong answers are there to catch.

Turning a shape a half-turn

Watch how the shape changes after a 180 degree clockwise rotation.

  1. turned 180° clockwise
  2. turned 270° clockwise
  3. left exactly as it is
  4. turned 90° clockwise

Answer: turned 180° clockwise

How you get there

Turning a half-turn moves every part of the shape around the centre together, which means the shape keeps its size while its corners swap places.

Why the other answers tempt

The shape turns as one piece - it is never reflected or resized.

If they are stuck, say this

Follow one corner of the shape as it turns a half-turn around the centre.

Now do it live in Spot the Changed Reading

How each of these 3 exercises teaches it

Spot the Changed Reading

Exactly one of these readings comes out different. Which one?

This engine’s own main skill is What Stays the Same When a Shape Moves. It practises rotate a shape alongside it.

The programme is “Slide 4 right”, then “Slide 2 right”, then “Flip in the line x = 4”. Every move on that list picks the outline up and puts it down without changing its size or shape, so the lengths of the sides, the angles at the corners and the area inside are all exactly what they were. What a rigid motion does change is WHERE things are, and here that is the coordinates of corner A. There is one more thing a flip changes and a slide or a turn never does: the letters ran anticlockwise round the outline and now run clockwise. The exam-safe habit is to sort every reading into "about the shape itself" or "about where the shape is": the first kind always survives, the second kind is the only place an answer can hide.

  1. Step 1. Watch it move. Play the cards and watch the readings.
  2. Step 2. The odd one out. Which single reading came out different?

What to say if they get stuck

  1. Tap a reading and it is drawn twice: once on the faint outline where the shape started, once on the solid one where it is now. Scrub slowly and watch whether the two marks stay the same.
  2. A slide, a turn and a flip all pick the outline up without stretching or squashing it, so every length, every angle and the area come through untouched.
  3. A flip is the only one of the three that reverses the outline, and this programme has one of them, so the letters end up reading round the other way.

Open Spot the Changed Reading on its own page to share it

Rotation Dial

Turn the dial until the blue shape matches the target.

This engine’s own main skill is Rotation & Reflection. It practises rotate a shape alongside it.

Rotation turns a shape but never flips it. If no amount of turning makes it match, you are looking at a reflection - a mirror image.

  1. Step 1. Match it. Turn the dial until the blue shape matches the target.
  2. Step 2. The impostor. Same game… or is it? Match the shape - or call out the trick.

What to say if they get stuck

  1. Grab the orange ring and drag it around.
  2. Look at the longest point of the shape - where does it point on the target?
  3. In step 2, try flipping it in your head. Rotating never flips a shape!

Open Rotation Dial on its own page to share it

Which Card Was Played?

The move has already happened. Play each card on the outline and find the one that lands on the ghost exactly.

This engine’s own main skill is Identifying Transformations. It practises rotate a shape alongside it.

The move was “Turn 90° anticlockwise about (-4, 2)”. The card beside it, “Turn 90° clockwise about (4, 3)”, is the same kind of move, so calling it a turn settles nothing: what has to be read is which way round it turns, and which point it turns about. It comes down to one corner. A starts at (-1, -3) and the ghost has it at (1, 5); the other card sends it to (-2, 8) instead. That card does get one corner exactly right, which is why one corner is never enough on its own. That is the exam-safe method: settle what is different about the two cards, then pin it down with a single corner.

  1. Step 1. Look at it. Drag the track to play a card and watch where the outline goes. Scrub back to try another.
  2. Step 2. Name the move. Which card was played? Pick the one that lands the outline exactly on the ghost.

What to say if they get stuck

  1. Both cards play the same kind of move, so deciding it was a turn does not choose between them. What is different is which way round it turns, and which point it turns about.
  2. Follow one corner. A starts at (-1, -3) and the ghost has it at (1, 5), so the right card has to send it exactly there.
  3. Check a second corner before you lock in. The wrong card here lands one corner exactly where the ghost has it and every other corner somewhere else.

Open Which Card Was Played? on its own page to share it

What usually goes wrong here

  • Mirrors a figure instead of preserving orientation through a turn.

This is the wrong answer 11+ papers are built to offer, so it is worth watching for directly: a child who does this will look confident and still lose the mark. If it keeps happening on rotate a shape, the fix is the misunderstanding rather than more questions.

Where rotate a shape sits in the 11+

The 11+ does not test these skills in isolation, and practising one in the wrong order wastes the practice. These are the skills the curriculum map connects this one to.

Commonly mixed up with

Reflect a shape

Rotation and reflection are commonly confounded.

The same thinking carries into

Rotate a visual figure

A geometric rotation can transfer to provider-style marked-figure reasoning.

How rotate a shape differs from the skills beside it

The same exercise practises several skills, and telling them apart is often the difficulty rather than the exercise itself. On this page the skill is: identify the result of one stated rotation, and it stops where centre, direction, and turn are fixed.

  • Identify a shape property

    Identify one stated property of a 2D or 3D shape. Excludes calculating measure.

  • Identify a geometric transformation

    Identify the translation, rotation, or reflection relating a shape and its image. Identifies the transformation from supplied figures or coordinates. It does not execute the transformation.

  • Preserve measure under a rigid transformation

    Use the fact that translation, rotation, and reflection preserve lengths and angles. Excludes calculating an unknown measure from unrelated angle or length rules.

  • Reflect a shape

    Identify the result of one reflection in a stated mirror line. Excludes rotation and translation.

  • Reflect a visual figure

    Track all marked parts through one reflection. No rotation or attribute change.

Related maths skills

All maths 11+ skills

Questions parents ask about rotate a shape

Answered from what the skill map records about this skill, not from a template. Every answer here is on the page, and the same questions are the page's FAQ structured data.

Identify the result of one stated rotation. It is one of 55 named maths skills in the 11+, in the geometry strand, and this page carries 3 interactive exercises that practise it.

Is it rotate a shape they find hard, or telling it apart from reflect a shape?

Those two look like one weakness on a practice paper and need completely different practice. A free diagnostic tells them apart across all four subjects.