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
Age 5 to 18
Article by Liz Woodham and Alison Kiddle

Published 2018

From WOW to WHY?


Curiosity is often triggered when something unexpected happens. The tasks in our current primary and secondary features aim to draw students in by offering that element of surprise.

Each task in the features stimulates mathematical activity which leads to an unexpected result or a surprising pattern, creating a 'wow!' moment. With your support, we hope that 'wow' will lead to 'why?' as students develop a desire to demystify what could, at first glance, look like magic, by using mathematics to explain what has happened.  

The excitement of students finding their own explanations rather than being shown or told by someone else cannot be underestimated. This ownership leads to another 'wow!' moment as all the pieces fall into place. You can support your students in making sense of these seemingly magical situations by encouraging them to:
  • use some equipment
  • find a useful picture, diagram or representation
  • form a generalisation
  • use algebra
  • create a proof
Once they have found explanations, perhaps they will be curious enough to ask new questions of their own and explore further. We hope you and your students are surprised and delighted by the tasks, and look forward to receiving their solutions.

Related Collections

  • More Stage 5 Students Articles
  • 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