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Number and algebra

  • The Number System and Place Value
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For younger learners

  • Early Years Foundation Stage

Reasoning with Numbers

Reasoning with Numbers

Here are a variety of numerical activities that will challenge you to explore, explain and reason mathematically.

Magic Letters 
Age 11 to 14
Challenge Level Yellow star

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

What Numbers Can We Make? 
Age 11 to 14
Challenge Level Yellow star

Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

Method in Multiplying Madness? 
Age 7 to 14
Challenge Level Yellow starYellow star

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

Always a Multiple? 
Age 11 to 14
Challenge Level Yellow starYellow star

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Take Three from Five 
Age 11 to 16
Challenge Level Yellow starYellow star

Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?

Related

  • Place Value, Integers, Ordering & Rounding
  • Factors, Multiples and Primes
  • Number Operations & Calculation Methods

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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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