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For younger learners

  • Early Years Foundation Stage

Finding All Solutions

These problems invite you to find all possible solutions. One of the best answers to "How do you know you have found them all" is to be able to say "I worked systematically!"

Shady Symmetry

Age 11 to 14
Challenge Level Yellow star

How many different symmetrical shapes can you make by shading triangles or squares?

Isosceles Triangles

Age 11 to 14
Challenge Level Yellow star

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

M, M and M

Age 11 to 14
Challenge Level Yellow star

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Peaches Today, Peaches Tomorrow...

Age 11 to 14
Challenge Level Yellow starYellow star

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

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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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