11+ Cube Nets: Opposite Faces, Folding and Rotations

By Jonathan Strange

To solve a cube-net question, check two things separately: which faces meet and which way the markings face after folding. A cube can contain the right symbols and still be the wrong answer if their orientation is impossible.

In our teaching, children often overlook opposite faces or forget that the individual figures turn as the net folds. This guide focuses on those two difficulties. Redbridge Publishing’s spatial resources were created to help busy parents understand the question types as well as support practice.

Cube net: predict the opposite faces

	E ↓
A	B	C	D
	F

Start with opposite faces

A cube has three pairs of opposite faces. Opposite faces never share an edge. In the usual drawing showing three faces meeting at one corner, no two of those visible faces can be an opposite pair.

This gives you a useful first check: if an answer shows two faces sharing an edge that must be opposite, eliminate it before considering the smaller details.

Try a folding activity

On squared paper, draw four equal squares in a horizontal row. Label them A, B, C and D from left to right. Add a square labelled E directly above B and a square labelled F directly below B. This is a cube net. Leave space around it for cutting, and ask an adult to help if needed.

1. Before cutting, predict which face will be opposite B.
2. Fold along the square edges to make a cube, keeping the letters on the outside.
3. Find all three pairs of opposite faces.
4. Open it out and check whether you can explain each pair without folding again.

Answers: A is opposite C, B is opposite D, and E is opposite F. If B is the base, A and C become opposing side walls, E and F form the other pair of walls, and D closes the top.

Check your reasoning: could A and C share an edge in a proposed answer? No. Could A and B share one? Yes, but that alone does not prove the whole answer correct.

Track the markings, not just the faces

Add an arrow inside E, pointing towards the edge it shares with B. Fold the net again. That arrow must still point towards the E–B shared edge on the folded cube. It does not independently turn away from that edge.

Now rotate the whole cube in your hand. The arrow may look different on the page or from your viewpoint, but its relationship to the shared edge stays the same. This is why “the arrow points up” is less useful than “the arrow points towards the edge beside B”.

A three-check method for exam-style questions

1. Opposites: rule out answers that place opposite faces next to one another.
2. Neighbours: check that the remaining faces can occupy the positions shown.
3. Orientation: follow a distinctive arrow, corner or asymmetric symbol through the fold.

Passing the opposite-face check is necessary but not sufficient. Two options may show possible neighbours, while only one has the markings in the correct orientation. Symmetric symbols can hide rotation, so start with the most distinctive marking.

Watch the cube-net walkthrough

Watch Redbridge Tuition’s cube nets tutorial on YouTube. Pause before each explanation, choose an answer and name the rule you used. Then compare your reasoning with the walkthrough.

Work through a cube-net question without guessing

The tempting approach is to stare at all the options until one looks familiar. Give your child a more useful job: find a reason to reject an answer. One clear contradiction is enough to eliminate an option; a general feeling that it “looks right” is not enough to choose it.

Step 1: keep one face still

Use B as the base in the labelled net above. Imagine A and C rising on either side of it, followed by E and F. D folds across to close the cube. Keeping a reference face still gives the other movements something to relate to. Trying to rotate every face in your head at once makes the task harder to track.

Step 2: test a proposed corner

Suppose an option shows A, B and C meeting at one corner. Can it be correct? No: A and C are opposite. You do not need to work out the arrow’s direction to reject this answer.

Now consider A, B and E. These three faces can meet at a corner in this net. That passes the first test, but their positions and markings must still agree with the folded cube. A possible set of faces does not automatically make every drawing of those faces correct.

Step 3: follow one marking to its edge

Return to the arrow on E. Its tip points towards the edge shared with B. If a proposed cube shows E and B sharing an edge but the arrow points away from that edge, the marking is wrong. Rotating the entire cube cannot fix this: the arrow and its face move together.

This is the distinction children often miss. The arrow’s direction on the page can change, while its relationship to the neighbouring face stays fixed. Use that relationship as your evidence.

Three short challenges to try together

Use the labelled net above. Say your answer and your reason before checking the explanations.

1. An option shows B touching D along an edge. Keep it or reject it?
2. The whole cube turns, and an arrow that looked upright now looks sideways. Must the option be wrong?
3. An option contains no opposite faces at its visible corner. Is that enough to prove it correct?

Answers and explanations

1. Reject it. B and D are opposite faces in this net, so they cannot share an edge. Point to the fold that makes D the lid above B.

2. Not necessarily. A change of viewpoint can change how the arrow looks. Check the edge it points towards instead of comparing “up” and “sideways” in isolation.

3. No. The arrangement and orientation can still be wrong. This is why the method has three checks: opposites, neighbours and markings.

How parents can help without giving away the answer

When a child gets stuck, ask a question that reduces the next step: “Which face will we keep still?” or “Which pair must be opposite?” Wait for them to make that decision before offering another prompt.

After an error, ask them to finish the sentence “I chose this because…”. Their explanation helps you choose the next activity. If they did not identify the opposite pairs, return to folding. If the pairs were right but the symbol was wrong, concentrate on one arrow and one shared edge.

For a short practice session, follow this sequence:

• Make: fold the paper model and name the opposite pairs.
• Predict: open it out, choose a marking and say where it will point.
• Check: fold again and compare the result with the prediction.
• Explain: attempt a fresh drawn question and give a reason for eliminating each impossible option.

Avoid rushing from a corrected answer straight to the next question. Ask your child to explain the correction while the model is open. That shows whether they can connect the flat net with the finished cube.

Common questions about 11+ cube nets

Should my child memorise a net’s appearance?

Recognising a familiar layout can help, but the markings may change. Your child still needs to work out opposite faces and follow the symbols through each fold. Memorising the outline alone does not solve a marked-net question.

Is using a paper cube cheating?

A paper model is a learning aid for practice at home. Use it to make predictions and check reasoning, then move back to questions without the model. Follow the actual exam’s instructions about what materials are allowed.

What if my child can fold the model but cannot imagine it?

Reduce the jump between the two tasks. Ask them to predict just one face before folding to check it. Then predict two. Gradually remove the physical support while keeping the same clear reference face.

Further spatial practice

Our 3D & Spatial Papers provide further practice across cube nets and other spatial question types. Check the sample pages and available formats to judge suitability. You can also explore our free reasoning resources and overview of spatial reasoning.

• 3D shape rotations and elevations tutorial
• Plan views and bird’s-eye views tutorial
• Compound shapes tutorial

For help with your child’s next step, enquire about classes in Ilford or Loughton.