Maths Olympiad · topic 6 of 33 · free

Sides, corners and cubes — Maths Olympiad practice

Shape questions often ask you to count sides or corners for several shapes at once. Learn how many each shape has, multiply for each kind of shape, then add.

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How to solve it

Know the shape numbers — “triangle 3, square 4, pentagon 5, hexagon 6, octagon 8; a cube has 6 faces, 12 edges and 8 corners”

  1. Sides: triangle 3, square and rectangle 4, pentagon 5, hexagon 6, octagon 8. A flat shape has as many corners as sides.
  2. Several of one shape: multiply (3 triangles → 3 × 3 = 9 sides).
  3. Two kinds of shape: work each out, then add. A cube has 6 faces, 12 edges and 8 corners.

Use it for: Geometry counting questions in Class 2–5 papers, and spotting shapes around you.

Worked example: How many sides do 3 triangles and 2 hexagons have altogether? → 21

  1. 3 triangles: 3 × 3 = 9 sides.
  2. 2 hexagons: 2 × 6 = 12 sides.
  3. Altogether: 9 + 12 = 21.

Check: 3 + 3 + 3 + 6 + 6 = 21 ✓

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✓ Written and checked by the TalentJR team · Updated 13 Oct 2026 · How we make our lessons

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🖨️ Shapes Worksheet for Maths Olympiad Class 4

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