What does a child have to do to rotate a shape in the 11+?

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 2 interactive exercises that practise it.

Why does my child keep getting rotate a shape questions wrong?

There is a specific mistake recorded against this skill: mirrors a figure instead of preserving orientation through a turn. 11+ papers are written to offer exactly that answer, so a child can be confident and still lose the mark. When it keeps happening, the fix is the misunderstanding rather than more questions.

Is rotate a shape the same as reflect a shape?

No. To rotate a shape is to identify the result of one stated rotation. To reflect a shape is to identify the result of one reflection in a stated mirror line. Rotation and reflection are commonly confounded. Telling the two apart is often the real difficulty in the question.

What can I say if my child is stuck on rotate a shape?

Point at the next move rather than explaining the whole rule. Follow one corner of the shape as it turns a half-turn around the centre.

What is not part of rotate a shape in the 11+?

The skill map draws the line here: Centre, direction, and turn are fixed. A question past that line is testing a different named maths skill, which is worth knowing before you spend a week practising the wrong one.

Which other 11+ skills should we practise alongside rotate a shape?

The skill map connects it to rotate a visual figure. A geometric rotation can transfer to provider-style marked-figure reasoning. That skill has its own page here.

How can my child practise rotate a shape for free?

Use Rotation Dial and Which Card Was Played?, embedded on this page. They are the exercises the skill map attaches to rotate a shape, they run in the browser with no account to make, these exercises are not scored and do not save learner records. The separate quiz sends answers for marking and shows a score, without saving an assessment record. Each also has its own link, so you can send one to a child without sending them anywhere else first.

Maths · Geometry

Rotate a shape

Identify the result of one stated rotation.

Watch the worked example

Turn, Don't Flip!

This video shows how to identify the image of a shape after turning it through a rotation. Watch an 11+ maths question solved step by step.

Open video page and transcript

Keep practising with Smart Cub Learning. Find topics to practise next

Quick quiz: Rotate a shape

10 questions, with feedback after each one. No sign-up needed.

Read the questions in this quiz

Question 1
Which option shows the shape after a 90 degree clockwise rotation?
TransformRotate 90 degrees clockwise
- A.Option A
- B.Option B
- C.Option C
- D.Option D
Question 2
Which option shows the shape after a 270 degree clockwise rotation?
TransformRotate 270 degrees clockwise
- A.Option A
- B.Option B
- C.Option C
- D.Option D
Question 3
Which option shows the shape after a 180 degree clockwise rotation?
TransformRotate 180 degrees clockwise
- A.Option A
- B.Option B
- C.Option C
- D.Option D
Question 4
Which option shows the shape after a 90 degree clockwise rotation?
TransformRotate 90 degrees clockwise
- A.Option A
- B.Option B
- C.Option C
- D.Option D
Question 5
Which option shows the shape after a 180 degree clockwise rotation?
TransformRotate 180 degrees clockwise
- A.Option A
- B.Option B
- C.Option C
- D.Option D
Question 6
Which option shows the shape after a 90 degree clockwise rotation?
TransformRotate 90 degrees clockwise
- A.Option A
- B.Option B
- C.Option C
- D.Option D
Question 7
Which option shows the shape after a 180 degree clockwise rotation?
TransformRotate 180 degrees clockwise
- A.Option A
- B.Option B
- C.Option C
- D.Option D
Question 8
Which option shows the shape after a 180 degree clockwise rotation?
TransformRotate 180 degrees clockwise
- A.Option A
- B.Option B
- C.Option C
- D.Option D
Question 9
Which option shows the shape after a 180 degree clockwise rotation?
TransformRotate 180 degrees clockwise
- A.Option A
- B.Option B
- C.Option C
- D.Option D
Question 10
Which option shows the shape after a 180 degree clockwise rotation?
TransformRotate 180 degrees clockwise
- A.Option A
- B.Option B
- C.Option C
- D.Option D

Practise it now

Turn the dial until the blue shape matches the target.

This exercise practises rotate a shape alongside its own main skill, Rotation & Reflection.

Loading the interactive exercise. Nothing you do here is saved or scored.

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.

TransformRotate 180 degrees clockwise

Option Aturned 180° clockwise
Option Bturned 270° clockwise
Option Cleft exactly as it is
Option Dturned 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 Rotation Dial

Kitchen-table script for parents

Try this together

A friendly mini script for the breakfast table, school run or a quiet two minutes. Read it aloud as written, or make it your own.

Ready? Let's have a go at Rotate a shape together. Take a look at the picture. Here is what matters: Shape picture with transform Rotate 180 degrees clockwise made from 0 parts. Here comes the question: Watch how the shape changes after a 180 degree clockwise rotation. Before we race ahead, let us choose one good first step. Here is a helpful clue: Follow one corner of the shape as it turns a half-turn around the centre. Nice work. Now let us follow the thinking: 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. So our answer is: turned 180° clockwise. There is one sneaky trap to watch for: The shape turns as one piece - it is never reflected or resized. Can you show me that first move again in your own words? Brilliant. No rush; we are practising a method you can reuse, not trying to win a speed contest.

How each of these 2 exercises teaches 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.

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

What to say if they get stuck

Grab the orange ring and drag it around.
Look at the longest point of the shape - where does it point on the target?
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 puts two corners on spots the ghost also covers, but with the wrong letters, which is why a matching spot 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.

Step 1. Look at it. Drag the track to play a card and watch where the outline goes. Scrub back to try another.
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

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.
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.
Check a second corner before you lock in. The wrong card here puts two corners on spots the ghost also covers, but each one carries the wrong letter, so check the letter as well as the spot.

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 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.
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.
Rotate a visual figure
Track all marked parts through one rotation. No reflection or attribute change.

Related maths skills

Classify an angleClassify one angle by size or compare it with a reference turn.
Compose coordinate transformationsApply two stated coordinate transformations in order.
Identify a cube netDetermine whether a net folds to a cube.
Identify a shape propertyIdentify one stated property of a 2D or 3D shape.
Identify line symmetryIdentify or complete a reflection across one mirror line.
Plot or read a coordinateRead or place one point on a coordinate grid.
Preserve measure under a rigid transformationUse the fact that translation, rotation, and reflection preserve lengths and angles.
Reflect a coordinateDetermine a point image after reflection in a stated coordinate axis.
Rotate a coordinateDetermine a point image after a stated rotation about the origin.
Solve an angle relationCalculate one unknown angle using a stated line, point, triangle, or quadrilateral relation.

All maths 11+ skills

Questions parents ask about rotate a shape

What this skill involves, common mistakes and ways to practise it at home.

: 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 2 interactive exercises that practise it.
: There is a specific mistake recorded against this skill: mirrors a figure instead of preserving orientation through a turn. 11+ papers are written to offer exactly that answer, so a child can be confident and still lose the mark. When it keeps happening, the fix is the misunderstanding rather than more questions.
: No. To rotate a shape is to identify the result of one stated rotation. To reflect a shape is to identify the result of one reflection in a stated mirror line. Rotation and reflection are commonly confounded. Telling the two apart is often the real difficulty in the question.
: Point at the next move rather than explaining the whole rule. Follow one corner of the shape as it turns a half-turn around the centre.
: The skill map draws the line here: Centre, direction, and turn are fixed. A question past that line is testing a different named maths skill, which is worth knowing before you spend a week practising the wrong one.
: The skill map connects it to rotate a visual figure. A geometric rotation can transfer to provider-style marked-figure reasoning. That skill has its own page here.
: Use Rotation Dial and Which Card Was Played?, embedded on this page. They are the exercises the skill map attaches to rotate a shape, they run in the browser with no account to make, these exercises are not scored and do not save learner records. The separate quiz sends answers for marking and shows a score, without saving an assessment record. Each also has its own link, so you can send one to a child without sending them anywhere else first.

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.