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

Secondary Live Problems

Each time you visit the NRICH site there will be some activities which are 'live'. This means we are inviting students to send us solutions, and we will publish a selection of them, along with each student's name and their school, a few weeks later. If you'd like to know more about what we're looking for, read this short article.

The last day for sending in solutions to these live problems is Monday 27 November.

Xavi's T-shirtLive

Age 7 to 16
Challenge Level Yellow star

How much can you read into a T-shirt?

A Powerful MatrixLive

Age 14 to 18
Challenge Level Yellow star

What happens when you find the powers of this matrix?

Markov MatricesLive

Age 14 to 18
Challenge Level Yellow star

Use matrices to find out how much cake I eat.

The MatrixLive

Age 14 to 18
Challenge Level Yellow star

Explore a new way of multiplying with matrices.

Flipping Twisty MatricesLive

Age 14 to 18
Challenge Level Yellow star

Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.

Square PairLive

Age 14 to 18
Challenge Level Yellow starYellow star

Explore the shape of a square after it is transformed by the action of a matrix.

Two and Four Dimensional NumbersLive

Age 16 to 18
Challenge Level Yellow star

Matrices and Complex Numbers combine to enable us to create four dimensional numbers.

Pass the ParcelLive

Age 16 to 18
Challenge Level Yellow starYellow star

Use matrices to model this popular party game.

Fix Me or Crush MeLive

Age 16 to 18
Challenge Level Yellow starYellow star

Can you make matrices which will fix one lucky vector and crush another to zero?

Matrix MeaningLive

Age 16 to 18
Challenge Level Yellow starYellow star

Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.

Transformations for 10Live

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

Explore the properties of matrix transformations with these 10 questions.

You may also like

Secondary Students' Solutions

Recently solved Secondary problems.

Try out the mathematically creative tasks on our new Wild Maths site

Why not get your creative juices flowing by trying out some of the tasks on our new website Wild Maths?

Short Problems for Practice and Revision

A collection of short problems for Stages 3 and 4.

  • 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