Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • 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
  • search

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

Advanced mathematics

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

For younger learners

  • Early Years Foundation Stage

Representing


Representing is part of our Thinking Mathematically collection.

Calendar Capers

Age 11 to 14
Challenge Level Yellow star

Choose any three by three square of dates on a calendar page...

Odds and Evens

Age 11 to 14
Challenge Level Yellow star

Are these games fair? How can you tell?

Sticky Numbers

Age 11 to 14
Challenge Level Yellow star

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

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...

Representing - Short Problems

Age 11 to 16

A collection of short Stage 3 and 4 problems on Representing.

Searching for Mean(ing)

Age 11 to 16
Challenge Level Yellow starYellow star

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

Factorising with Multilink

Age 14 to 16
Challenge Level Yellow star

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

Vector Journeys

Age 14 to 18
Challenge Level Yellow star

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Vector Walk

Age 14 to 18
Challenge Level Yellow star

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Related Collections

  • Thinking Mathematically
  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X 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.

University of Cambridge logo NRICH logo