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Number and algebra

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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

Surface Area and Volume

Efficient Cutting

Age 11 to 14
Challenge Level Yellow starYellow starYellow star

Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

Gutter

Age 14 to 16
Challenge Level Yellow starYellow star

Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?

Fill Me up Too

Age 14 to 16
Challenge Level Yellow starYellow star

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

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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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