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Hex

Age 11 to 14
Challenge Level Yellow star
  • Problem
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If the original hexagon has sides of length 3 units what is the length of the sides of the smaller hexagons?

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How Big?

If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?

Triangular Tantaliser

Draw all the possible distinct triangles on a 4 x 4 dotty grid. Convince me that you have all possible triangles.

Guillotine

Weekly Problem 9 - 2006
What fraction of the area of the rectangle is shaded?

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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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