Spatial reasoning and nets of cubes: the hardest 11+ NVR topics (and how to crack them)

Almost every parent I work with reaches the same point. Their child is doing well with codes, sequences and analogies, then a nets-of-cubes question appears and everything stalls. There is a long pause, a bit of guessing, and afterwards the child says the honest thing: "I just couldn't see it." That reaction is completely normal. Spatial reasoning, and nets of cubes in particular, is the part of Non-Verbal Reasoning that children find hardest, and it is the one that most rewards a clear method rather than raw talent. This post explains what these questions actually are, why they cause so much trouble, and the exact approach I teach so a child can work them out on purpose instead of hoping.

What spatial reasoning actually is

Spatial reasoning is the ability to picture shapes in your mind and imagine how they move: rotating them, reflecting them, folding them, or seeing what they would look like from a different angle. In the 11+, this shows up in the Non-Verbal Reasoning paper through a handful of question types:

• Nets and cubes — folding a flat net into a cube, or unfolding a cube back into its net.
• 3D rotation — deciding which picture shows the same 3D shape turned to a new position.
• Paper folding and hole punching — folding paper, punching a hole, then predicting the pattern when it opens out.
• Combining and cross-sections — joining 2D pieces into a shape, or seeing what a solid looks like from above.

All of these appear in both the GL and CEM style exams, and increasingly in on-screen adaptive tests too. If your child is still getting to grips with the wider paper, my Non-Verbal Reasoning guide walks through every question type; this post zooms in on the one that causes the most worry.

Why nets of cubes trip children up

The difficulty is not really about intelligence. It is about how the brain is being asked to work. Most of a child's school day is spent reading, calculating and writing — flat, sequential tasks. Nets of cubes ask for something schools rarely practise: holding a 3D image in your head and mentally folding it. That is a genuinely different skill, and it does not come free with being good at maths.

A few things make it harder still:

• Children try to see the whole answer at once. They stare at the net, wait for the cube to "appear", and when it doesn't, they guess.
• Opposite faces are counter-intuitive. Two faces sitting side by side on a flat net often end up on opposite sides of the finished cube, where you can never see them together. This single idea explains most wrong answers.
• Orientation is easy to miss. An arrow or an L-shape can be on the correct face but pointing the wrong way, and children skim past the direction.
• Time pressure. These questions eat up seconds, so children rush exactly the ones that most need care.

A method to solve nets of cubes

I never ask a child to "just picture it". Instead we follow the same steps every time, until the steps become automatic. Here is the method, in the order I teach it:

• Pick a base face. Choose one face on the net and imagine it as the bottom of the cube. Everything else folds up around it.
• Find the opposite pairs. On a cube, faces come in three opposite pairs. On the net, opposite faces are the ones with exactly one face between them in a straight line. A quick trick: two faces that are directly next to each other on the net can never be opposite on the cube — so they must be able to touch.
• Check for a "dud". Scan the answer options for any face showing a symbol, shape or shading that simply isn't on the original net or cube. Cross those out first — it is the fastest way to remove wrong answers.
• Test the opposites rule. Eliminate any option where two faces that should be opposite are shown side by side (you can never see two opposite faces at the same time on a real cube).
• Test the orientation rule. For anything still standing, check that arrows, points and asymmetric shapes face the right way, not just sit on the right face.

Notice that four of the five steps are about eliminating wrong answers rather than conjuring the right one. That reframing takes enormous pressure off a child. They are no longer trying to build the cube perfectly in their head — they are being a detective, ruling options out one by one.

Common traps to watch for

Once a child knows the method, most remaining mistakes come from a small, predictable set of traps. We name them so they become easy to spot:

• The opposites trap: two faces are placed as though visible together on the cube when they are actually on opposite sides.
• The orientation trap: the right symbol on the right face, but rotated the wrong way.
• The mirror trap: a pattern that has been flipped rather than rotated — it looks close but is reversed.
• The rushed dud: an extra dot or shape that the child would have caught if they had scanned all six faces instead of the first three.

How to practise at home

This is the good news. Spatial reasoning responds beautifully to short, hands-on practice, and none of it needs to feel like exam prep. What matters is regular exposure to 3D thinking, not long sessions.

• Fold real cubes. Cut a net out of card, mark or colour the faces, and fold it up together. Nothing builds intuition faster than watching which faces end up opposite in real life. You can also unfold an empty cereal or tissue box.
• Colour the joins. On a practice net, use the same colour for edges that meet when folded, and the same symbol for faces that end up opposite. This makes the invisible rules visible.
• Play, don't drill. Building blocks, Lego, tangrams, jigsaw puzzles, origami and construction games all strengthen the same mental muscles.
• Keep sessions short. Ten to fifteen focused minutes, a few times a week, beats a marathon on a Sunday. Follow a short set of questions with a calm look back at any that went wrong.
• Talk it through out loud. Ask your child to explain why they ruled an option out. If they can teach the rule back to you, they own it.

For how nets of cubes fit into the whole 11+ picture — timings, formats and what different schools ask for — my 11+ exam guide gives the wider context so your home practice is pointed in the right direction.

When a bit of structured help makes the difference

Some children get spatial reasoning quickly once they have the method; others need a few weeks of guided practice with someone watching how they think and gently correcting the habit of guessing. Because these topics are so self-contained, they suit focused teaching well. Alongside one-to-one lessons, I run short group courses specifically on Spatial Reasoning and Nets of Cubes — small groups, a clear method, and lots of worked practice so children stop dreading these questions and start looking forward to them. You can see dates and details on the group courses page.

Frequently asked questions

At what age should my child start spatial reasoning practice?

There is no need to rush, but Year 4 and Year 5 are a comfortable time to begin with playful, hands-on activities. By the time formal 11+ preparation starts in Year 5, a child who has folded a few real cubes already has a head start. Even a term of light practice before the exam can make a clear difference.

Is my child at a disadvantage if they find these questions really hard?

No. In my experience the children who struggle most at the start often improve the most, precisely because there is a clear method to learn. Nets of cubes reward practice and technique far more than natural flair, so early difficulty is not a ceiling.

Do all 11+ exams include nets and cubes?

Most exams that include a Non-Verbal Reasoning section will feature some spatial reasoning, and nets or 3D shapes are a common part of that. The exact balance varies between GL, CEM style and individual school papers, so it is worth checking which format your target schools use and practising accordingly.

How much practice is enough?

Little and often is the rule. A short set of questions a few times a week, with a calm review of any mistakes, does far more than occasional long sessions.