Chapter 7

Problem Solving

Let's solve word problems about shapes, polygons and symmetry, step by step!

Solving shape word problems

For word problems about shapes, use 4 steps:

  • Understand — what does the question ask?
  • Plan — which shape fact will help? (sides, faces, symmetry)
  • Solve — do the counting or working.
  • Check — is the answer sensible?

Worked example

Aina draws a regular polygon. It has 8 equal sides. How many corners does it have? Understand: we need the number of corners. Plan: a polygon has the same number of corners as sides. Solve: 8 sides means 8 corners. Check: corners = sides, so 8 is correct.

Worked example

A window is shaped like a rectangle. How many lines of symmetry does it have? A rectangle folds to match top-to-bottom and left-to-right, so it has 2 lines of symmetry.

Remember

  • Read carefully and picture the shape.
  • Use the shape rule you know, then check your answer.

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