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11+ Maths Guide · Year 5–6 · Free lesson

Nets

A net is a 3D shape unfolded flat — and deciding whether a net folds correctly is a favourite exam puzzle. This lesson teaches the face-count check and the mental folding trick.

G7Nets
Unfold a 3D shape flat.
A net is a 2D pattern that folds up to make a 3D shape.
The cube net — 6 squares that fold into a box.
A cross of 6 squares → folds into a cube
A cube has 11 different possible nets — but every one has exactly 6 squares.
1

Learn the Method

1Count the faces first.

The net must have exactly as many shapes as the solid has faces — 6 squares for a cube.

6 squares

2Fold it in your head.

Pick a base, fold the neighbours up, and check nothing overlaps.

fold 🧠

3Match shapes to faces.

Cylinder: 2 circles + 1 rectangle. Square-based pyramid: 1 square + 4 triangles.

⭕▭⭕
💡 Key IdeaNot every 6-square arrangement works — four squares in a 2×3 block overlap when folded. Mentally fold to check.
2

Worked Example

What solid does each net make?

6 squares in a cross
cube
1 square + 4 triangles
square-based pyramid
2 circles + 1 rectangle
cylinder
2 triangles + 3 rectangles
triangular prism
3

Watch Out! Common Mistakes

Wrong number of faces.

Count first! A net with 5 squares can never make a cube — a cube needs exactly 6 faces.

Assuming every arrangement folds.

Careful! Six squares in a 2×3 grid do NOT fold into a cube — faces overlap. Mentally fold to check.

Rectangle sizes that don’t match.

Check edges! In a cuboid net, faces that fold together must share edges of the same length.

📄 Free printable: Download the Nets cheat sheet (PDF) — keep it by your child's desk.

Quick summary

Frequently asked questions

What is a net in maths?

A flat (2D) arrangement of shapes that folds up to make a 3D solid — like a cardboard box opened out flat.

How many nets does a cube have?

Eleven different arrangements of six squares fold into a cube. Many other six-square arrangements don't work because faces overlap.

How can children check if a net works?

Count the faces first, then mentally fold: fix one shape as the base and fold the neighbours up one at a time, watching for overlaps and gaps.

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