3D shapes and views is one of the standard non-verbal reasoning families in GL-style 11+ papers, and it is the type where a calm, systematic method beats raw talent every time. Children are asked to match a solid to its plan or side view, count the blocks in a stack, decide which 2D net folds into a given cube, or picture a shape rotated in the hand. NVR rewards process over instinct more than any other 11+ subject, and pupils who learn to interrogate a shape step by step routinely overtake "naturally spatial" peers who guess. This guide breaks the whole 3D family into named question types, gives you a repeatable method for each, and points you to free practice for exactly these questions.
Where 3D questions sit in the GL NVR paper
GL Assessment is now the dominant 11+ provider across most regions after CEM withdrew its separate tests around 2022–2023, so most families preparing today will meet GL-format non-verbal reasoning. A typical GL NVR paper is multiple-choice, answered on a separate answer sheet, runs to roughly 50 minutes, and gives you only about 35–50 seconds per question. In reasoning-heavy areas such as Lincolnshire, NVR can carry around half the total marks, so the 3D spatial types genuinely move the needle. GL does not tell you in advance which question families will appear, so it pays to be fluent in all of them rather than hoping 3D shapes stay off the paper.
The 3D question types you will meet
"3D shapes and views" is really a small cluster of related tasks. Knowing which one you are looking at is half the battle, because each has its own reliable method.
| Type | What it asks | Key move |
|---|---|---|
| Plan / side views | Match a solid to how it looks from above, the side or the front | Ask what that viewpoint flattens |
| Block counting | Count the cubes in a stack, including hidden ones | Count layer by layer, add hidden supporters |
| Nets and cubes | Match a 2D net to the folded cube (or vice versa) | Track which faces end up opposite |
| Rotating 3D shapes | Spot the same solid turned to a new orientation | Use a fixed feature as an anchor |
| Combining 3D shapes | Fit two pieces together to make a target solid | Match faces that must join |
A method for views and plan questions
The single most useful idea for view questions is that every viewpoint flattens something. The plan view (from directly above) removes all information about height, so a tall tower and a short block can share the same square plan. A side view removes depth. Work out what your viewpoint hides, then compare only the information that survives.
- Name the viewpoint first: above, front, or side, so you know what is being flattened.
- Sketch the outline the shape would cast — treat it like a shadow on the page.
- Check features that must appear from that angle: notches, holes, steps and overhangs.
- Eliminate any option that shows detail the viewpoint could not possibly reveal.
Block counting without losing marks
Block counting looks friendly and quietly trips up strong children. The classic trap is forgetting hidden supporting blocks — cubes you cannot see but which must exist, because a visible cube above them cannot float. Work bottom to top:
- Count the base layer, including cubes hidden behind the front row.
- Move up one layer at a time, adding each cube you can see.
- For every raised cube, ask "what is holding this up?" and add the supporter even if it is invisible.
- Total the layers, then re-count once — a single miscount is the most common wrong answer.
Nets, cubes and the opposite-faces rule
Nets and cubes questions become far easier once you learn one fact: there are exactly 11 distinct nets that fold into a cube, and on any net, faces that are directly opposite on the finished cube are never adjacent squares. A quick reliable check is to pick one face, find the face two squares away in a straight line, and treat those as an opposite pair — they can never touch on the solid. When a question shows symbols or shading on the faces, fold the net in your mind's eye one flap at a time and note which two symbols land back to back. If an answer option puts two symbols on adjacent faces that your net says are opposite, eliminate it immediately.
Rotation is not reflection
A frequent mix-up across all NVR, not just 3D, is confusing a rotation with a reflection. A rotation turns the shape (90°, 180° or 270°, clockwise or anticlockwise) but never flips it, so the order of features going round the shape stays the same. A reflection is a mirror image, so that order reverses. For a 3D rotation question, lock onto one distinctive feature — a coloured face, an arrow, a missing corner — and follow only that anchor from the original to each option. If the anchor could only reach that position by flipping, it is a reflection trap, not the rotated match.
The visual attributes to scan every time
Whatever the 3D task, run the same mental checklist so nothing slips past:
- Number of blocks or faces, and whether hidden ones are implied.
- Shading or fill on visible faces.
- Size and proportion of each element.
- Orientation — which way arrows, notches or steps point.
- Position of features relative to each other.
- Symmetry, and any added or missing lines.
How this feeds the Standardised Age Score
GL papers are marked using a Standardised Age Score (SAS), which adjusts each raw mark for the child's exact age in months, so younger pupils in the year group are not disadvantaged. Scores typically run from about 69 to 141, with 100 as the average, and many grammar schools look for roughly 111 and above — though exact pass marks vary by area and year, so never rely on a fixed number. The practical point for parents is that getting the harder 3D types right lifts the raw score that becomes the SAS, which is why targeted practice on this family is worth the effort.
How to practise this type
Do 3D work in short, focused bursts — ten questions, mark, then review every error out loud ("what property did I miss?"). Our free NVR worksheet sets isolate each pattern so your child drills views, nets and block counting one at a time, the full NVR types list maps the whole territory, and timed mock papers knit the types back together at exam pace. When you are ready to sit a full timed paper, the GL practice papers mirror the real format, and the revision hub helps you plan a Year 4 to Year 6 pathway. You can track progress and compete on the live leaderboard once you sign up free.
Frequently asked questions
How many nets fold into a cube?
There are exactly 11 distinct nets that fold into a cube. Learning to recognise them, and remembering that opposite faces are never adjacent on a net, turns most nets-and-cubes questions into a quick elimination.
Does GL tell you which question types will appear?
No. GL Assessment does not disclose in advance which NVR families will be in a given paper, so it is safest to be comfortable with every type, including all the 3D spatial variations, rather than revising selectively.
What score does my child need?
GL papers are reported as a Standardised Age Score, usually between about 69 and 141 with 100 as average. Many grammar schools look for around 111 or higher, but the exact qualifying mark changes by region and year, so check your specific school and centre.