Maths worksheets · lesson 31 of 64 · free

Patterns and symmetry — Maths worksheet

A shape has a line of symmetry if folding it along that line makes the two halves match exactly. The letter A has one (down the middle), a rectangle has two and a square has four. Number patterns follow a rule: add the same number, multiply by the same number, or add one more each time.

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The method

Fold and match — “a line of symmetry folds a shape into two halves that match exactly”

  1. Line of symmetry: fold along it and the two halves match.
  2. Square 4 lines, rectangle 2, triangle with equal sides 3, regular hexagon 6.
  3. Number pattern: check the gaps (+), the times (×) or a growing gap (+1, +2, +3 …).

Use it for: Rangoli, butterflies and kites, letter shapes, and the patterns and symmetry chapter of Class 4 maths.

Worked example: How many lines of symmetry does a rectangle that is not a square have? → 2

  1. Fold it across the middle the long way and the short way — both make matching halves.
  2. Folding corner to corner does not match, so it has 2.

Check: A paper rectangle folded corner to corner leaves bits sticking out — not a match ✓

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🏁 Lesson 31 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Class 4 Maths Worksheet: Patterns and Symmetry

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