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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

3D Investigations

This collection of investigational activities explore the world of 3D.  They are particularly good for challenging high-attaining primary children.

Holes

Age 5 to 11
Challenge Level Yellow star

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

Four Layers

Age 5 to 11
Challenge Level Yellow starYellow starYellow star

Can you create more models that follow these rules?

Cube Drilling

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

Imagine a 4 by 4 by 4 cube. If you and a friend drill holes in some of the small cubes in the ways described, how many will not have holes drilled through them?

Inky Cube

Age 7 to 14
Challenge Level Yellow starYellow starYellow star

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

More Pebbles

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

Have a go at this 3D extension to the Pebbles problem.

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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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