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Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
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  • Pythagoras and Trigonometry
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Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
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For younger learners

  • Early Years Foundation Stage

Sequences and Series

A Little Light Thinking

Age 14 to 16
Challenge Level Yellow star

This problem encourages students to think about the properties of numbers. It could be used to consolidate work on linear sequences.

Summing Geometric Progressions

Age 14 to 18
Challenge Level Yellow star

This problem provides an introduction to summing geometric series, and allows students to discover for themselves the formulae used to calculate such sums.

Difference Dynamics

Age 14 to 18
Challenge Level Yellow star

This is an engaging investigation that quickly yields results and leads to conjectures and a lot of mathematical thinking and discussion.

Mad Robot

Age 16 to 18
ShortChallenge Level Yellow star

This short problem can be given to students who have been working on sequences or algorithms.

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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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