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Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
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  • Properties of Numbers
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Probability and statistics

  • Handling, Processing and Representing Data
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Working mathematically

  • Thinking mathematically
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Advanced mathematics

  • Decision Mathematics and Combinatorics
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For younger learners

  • Early Years Foundation Stage

From Introduction to Deeper Understanding

These tasks all encourage you to explore and describe number patterns, and in particular to use what you know about factors and multiples. They would be best done in the order below as you will find that the later tasks build on ideas from the earlier ones.

As a set, these activities will give you opportunities to work on all five key ingredients that make a successful mathematician: understanding, skills, problem solving, reasoning and attitude. To find out more about these five ingredients and suggestions about how you can reflect on becoming a better mathematician, take a look at our short article What Makes a Good Mathematician?.

Lots of Lollies

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Times Tables Shifts

Age 7 to 11
Challenge Level Yellow star

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Satisfying Four Statements

Age 7 to 11
Challenge Level Yellow star

Can you find any two-digit numbers that satisfy all of these statements?

Statement Snap

Age 7 to 14
Challenge Level Yellow star

You'll need to know your number properties to win a game of Statement Snap...

Charlie's Delightful Machine

Age 11 to 16
Challenge Level Yellow star

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

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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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