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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
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Probability and statistics

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Advanced mathematics

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For younger learners

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Upper Secondary - Complete Article Index

The complete list our upper secondary student articles
  • Keeping it Safe and Quiet
  • Latin Squares
  • Learn about Number Bases
  • Leonardo of Pisa and the Golden Rectangle
  • Links and Knots
  • Logic, Truth Tables and Switching Circuits
  • Logic, Truth Tables and Switching Circuits Challenge
  • Low Threshold High Ceiling Tasks for Secondary Classrooms
  • Magic Squares
  • Magic Squares for Special Occasions
  • Magic Squares II
  • Magic Sums and Products
  • Mathematical Issues for Chemists
  • Mathematics in the Financial Markets
  • Maths and Climate Change: the Melting Arctic
  • Maths at Home
  • Maths in the Undergraduate Physical Sciences
  • Modelling Assumptions in Mechanics
  • Modelling with Differential Equations
  • Modulus Arithmetic and a Solution to Differences
  • Modulus Arithmetic and a Solution to Dirisibly Yours
  • More Old Chestnuts
  • More Sums of Squares
  • Mouhefanggai
  • Muggles, Logo and Gradients
  • Multiplication of Vectors
  • Neural Nets
  • Olympic Measurements
  • On the Importance of Pedantry
  • Paint Rollers for Frieze Patterns.
  • Paper Folding - Models of the Platonic Solids
  • Phiddlywinks - a Tribute to John Conway
  • Picturing Pythagorean Triples
  • Playing Squash
  • Polar Coordinates
  • Powerful Properties
  • Preparing for Interviews
  • Preparing Students for STEM at University
  • Probability Questions as Counting Problems
  • Probability Through Problems: a new approach to teaching probability
  • Programming: MoirĂ© Patterns
  • Proofs with Pictures
  • Public Key Cryptography
  • Pythagorean Triples I
  • Pythagorean Triples II
  • Raffles and Strings
  • Randomness and Brownian Motion
  • Reaction Rates!
  • Recent Developments on S.P. Numbers
  • Recent Developments on S.P. Numbers
  • Resilience and Perseverance: the Journey from Novice to Expert
  • Roasting Old Chestnuts
  • Second Order Differential Equations
  • Seeing Is Believing
  • Seven Core Tips for Effective Studying
  • Shaping the Universe I - Planet Earth
  • Shaping the Universe II - the Solar System
  • Shaping the Universe III - to Infinity and Beyond
  • Small Groups
  • Solving Problems with Vectors
  • Solving the Genome Puzzle
  • Some Circuits in Graph or Network Theory
  • Some Induction Examples
  • Some Thoughts on Teaching about Area
  • Sperner's Lemma
  • Sprouts Explained
  • Statistics in Exams: Discrete and Continuous Random Variables
  • Statistics in Exams: Hypothesis Testing
  • STEP Advice
  • STEP Stats Questions with Hints
  • Stretching Fractions: A Discussion
  • Sufficient but Not Necessary: Two Eyes and Seki in Go
  • Sum the Series
  • Sums and Products of Digits and SP Numbers
  • Sums of Powers - A Festive Story
  • Sums of Squares and Sums of Cubes
  • Supporting Highly Able Mathematicians - Books for KS3-5
  • Symmetric Tangles
  • Taking Chances Extended
  • Tangles
  • Teacups: A Maths Challenge with History
  • Telescoping Functions
  • The Chinese Remainder Theorem
  • The Cyclic Quadrilateral
  • The Development of Algebra - 1
  • The Development of Algebra - 2
  • The Dodecahedron Explained
  • The Eternity Puzzle
  • The Four Colour Theorem
  • The Frieze Tree
  • The Golden Ratio, Fibonacci Numbers and Continued Fractions.
  • The Harmonic Triangle and Pascal's Triangle
  • The History of Trigonometry- Part 1
  • The Knapsack Problem and Public Key Cryptography
  • The Kth Sum of N Numbers
  • The Mathematical Problems Faced by Advanced STEM Students
  • The Mean Game
  • The Naked Pair in Sudoku
  • The Power of Dimensional Analysis
  • The Random World
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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.

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