Skip to main content
Links to the University of Cambridge website Cambridge University Faculty of Mathematics Links to the NRICH website Home page NRich logo
Advent Calendars 2023
Primary | Secondary
menu
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us

Or search by topic

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
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

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

For younger learners

  • Early Years Foundation Stage

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

Thinking Mathematically - Secondary

Exploring, questioning, working systematically, visualising, conjecturing, explaining, generalising, justifying, proving... are all at the heart of mathematical thinking. 

These collections of activities are designed to develop your capacity to work as a mathematician.
Age 11 to 16

Exploring and Noticing

What do you notice as you explore these problems?

Age 11 to 16

Working Systematically

Work on these problems to improve your ability to work systematically.

Age 11 to 16

Conjecturing and Generalising

Work on these problems to improve your conjecturing and generalising skills.

Age 11 to 16

Visualising and Representing

Work on these problems to improve your visualising and representing skills.

Age 11 to 16

Reasoning, Convincing and Proving

Work on these problems to improve your reasoning skills.


Recommended Books
We have compiled a list of books for young people who are interested in mathematics.
 

  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Links to the NRICH Twitter account Twitter X logo
  • Links to the NRICH Facebook account Facebook logo

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.

Links to the University of Cambridge website University of Cambridge logo Links to the NRICH website Home page NRICH logo