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Shady Symmetry

Age 11 to 14
Challenge Level Yellow star
Secondary curriculum
  • Problem
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Begin by looking at all the patterns that can be made by colouring in just 1 cell, then 2, then 3, and so on...

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  • Working Systematically
  • Finding all solutions (Teacher)
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  • Finding all solutions
  • Working Systematically - Lower Secondary

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Eight Dominoes

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

Rhombicubocts

Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices does each solid have?

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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