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Symmetry Challenge

Age 7 to 11
Challenge Level Yellow starYellow starYellow star
Primary curriculum
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Symmetry Challenge printable sheet

In this activity, we are going to shade the squares of this grid with one colour to make different designs.

There are a few rules that our designs need to follow:

  • Whole squares have to be shaded, rather than parts of squares.
  • Each design must have at least one line of symmetry.
  • Each new design you come up with must be different from all of the others. If two designs would look the same if you rotated or reflected them, they do not count as different designs in this task.

Have a go at making some designs. How many can you find? You might like to shade your designs on squared paper or on this sheet of blank grids.

If you wanted to find every possible design, how would you do this?

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Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

Eight Dominoes

Using the 8 dominoes make a square where each of the columns and rows adds up to 8

Prime Magic

Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?

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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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