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Number and algebra

  • The Number System and Place Value
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Probability and statistics

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Working mathematically

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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

Seeing Mathematically

Seeing mathematically

The way we see a problem in our mind's eye can affect the way we find a solution. These activities all have a visual element, and we hope that by working on them you will realise the power of creating mental images.

Frogs 
Age 11 to 14
Challenge Level Yellow star

How many moves does it take to swap over some red and blue frogs? Do you have a method?

ACE, TWO, THREE... 
Age 11 to 14
Challenge Level Yellow star

Can you picture how to order the cards to reproduce Charlie's card trick for yourself?

Constructing Triangles 
Age 11 to 14
Challenge Level Yellow star

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

Attractive Tablecloths 
Age 14 to 16
Challenge Level Yellow starYellow star

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

Related

  • Visualising
  • Representing

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Patterns in Number Sequences

These resources are designed to get you thinking about number sequences and patterns.

Secondary Student Latest

Latest list for the Lower Secondary Student page

Curriculum Topics

Problems organised by curriculum topic for lower secondary students.

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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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