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

Hidden Treasures

Hidden Treasures

To celebrate NRICH's 20th birthday, we've taken a look back in the archives and dusted off some problems from the early days, freshened them up, and added some new ideas. We hope your students will enjoy working on these hidden treasures!

Calendar Capers 
Age 11 to 14
Challenge Level Yellow star

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

Counting Factors 
Age 11 to 14
Challenge Level Yellow starYellow star

Is there an efficient way to work out how many factors a large number has?

Latin Numbers 
Age 14 to 16
Challenge Level Yellow starYellow starYellow star

Can you create a Latin Square from multiples of a six digit number?

Building Tetrahedra 
Age 14 to 16
Challenge Level Yellow starYellow star

Can you make a tetrahedron whose faces all have the same perimeter?

Gift of Gems 
Age 14 to 16
Challenge Level Yellow starYellow star

Four jewellers share their stock. Can you work out the relative values of their gems?

Rationals Between... 
Age 14 to 16
Challenge Level Yellow starYellow star

What fractions can you find between the square roots of 65 and 67?

Related

  • What we think and why we think it - Secondary
  • Enriching the Secondary Curriculum
  • 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