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

Networks and Graph Theory


This feature introduces students to the topic of networks, which has many real life applications.

The problems in this feature will encourage students to experiment, conjecture and deduce general relationships for networks in different contexts.

You can find out more about real life applications of networks in these Plus articles.

You can also watch a recording of the webinar in which we discussed the mathematical thinking which can be prompted by these activities.

Sprouts

Age 11 to 16
Challenge Level Yellow starYellow star
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.

Who's Who?

Age 11 to 16
Challenge Level Yellow starYellow star
Can you solve the clues to find out who's who on the friendship graph?

The Bridges of Konigsberg

Age 11 to 18
Challenge Level Yellow star
Investigate how networks can be used to solve a problem for the 18th Century inhabitants of Konigsberg.

Can You Traverse It?

Age 14 to 18
Challenge Level Yellow star
How can you decide if a graph is traversable?

Network Trees

Age 14 to 18
Challenge Level Yellow star
Explore some of the different types of network, and prove a result about network trees.

Euler Meets Schlegel

Age 16 to 18
Challenge Level Yellow starYellow star
Discover how networks can be used to prove Euler's Polyhedron formula.

If I Share, Will My Friends Share Too?

Age 11 to 18
Read about how mathematicians used network theory to predict the spread of disease among teenagers.

You may also like

Introducing Complex Numbers

These resources are designed to introduce students to complex numbers in an exploratory way.

Statistical Investigations

A chance for students to use statistical skills to answer some interesting questions.

Maths for Champions

Can you win the Maths Olympics?

  • 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