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11+ area and perimeter questions

Area and perimeter comes up in the maths paper of every major 11+ format. Here is what the questions look like, the method that works under time pressure, and five worked examples with the full reasoning, from a gentle start to a hard paper.

Maths · examined by GL and CEM · 5 worked examples

What your child needs to know

Where marks get lost: Watch the units: cm for perimeter, cm² for area.

Worked examples

Every question below is generated by the same engine your child practises on, and every answer is derived by our checker rather than written by hand — which is why we can put them on a public page at all.

Example 1 · level 1a gentle start

A card is 5cm by 11cm. What is its area, in cm²?

  • 110
  • 16
  • 55
  • 32

Answer: 55 Area is 5 × 11 = 55cm².

Example 2 · level 2typical of early practice

A card is 7cm by 6cm. What is its area, in cm²?

  • 42
  • 84
  • 13
  • 26

Answer: 42 Area is 7 × 6 = 42cm².

Example 3 · level 3standard paper difficulty

A rectangle is 19cm by 12cm. What is its area, in cm²?

  • 228
  • 31
  • 62
  • 456

Answer: 228 Area is 19 × 12 = 228cm².

Example 4 · level 4a harder paper

A triangle has a base of 16cm and a height of 14cm. What is its area, in cm²?

  • 60
  • 224
  • 30
  • 112

Answer: 112 Area of a triangle is ½ × base × height = ½ × 16 × 14 = 112cm².

Example 5 · level 5the level that separates candidates

A triangle has a base of 30cm and a height of 68cm. What is its area, in cm²?

  • 1020
  • 2040
  • 98
  • 196

Answer: 1020 Area of a triangle is ½ × base × height = ½ × 30 × 68 = 1020cm².

How to practise this at home

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