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Complete the Square

Age 5 to 7
Challenge Level Yellow starYellow starYellow star
Primary curriculum
  • Problem
  • Getting Started
  • Student Solutions
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Jamie from Great Hilton High School sent in some pictures of his solutions. He says

When trying to make a square, there are 2 rules to follow, which are:
1. All the sides need to be the same size.
2. There must be 4 perpendicular angles (or right angles).

To complete the squares, see how many grid squares 1 line takes up and rotate the line 90 degrees. Keep doing this until you get a full square.

Solution for first squareSolution for second square
Solution for third squareSolution for fourth square
Solution for fifth square

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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