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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
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

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Advanced mathematics

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  • Advanced Probability and Statistics
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For younger learners

  • Early Years Foundation Stage

Upper Secondary - Complete Article Index

The complete list our upper secondary student articles
  • Challenging Data Tasks: The Making of "Where Are You Flying?"
  • 3D Drawing
  • A Brief History of Time Measurement
  • A Computer Program to Find Magic Squares
  • A Curious Collection of Bridges
  • A Journey Into stemNRICH
  • A Knight's Journey
  • A Method of Defining Coefficients in the Equations of Chemical Reactions
  • A Probability Conundrum
  • A Rolling Disc - Periodic Motion
  • A Story about Absolutely Nothing
  • About Pythagorean Golden Means
  • AC/DC Circuits
  • Adding with the Abacus
  • All about Infinity
  • An Alphanumeric
  • An Introduction to Complex Numbers
  • An Introduction to Computer Programming and Mathematics
  • An Introduction to Differentiation
  • An Introduction to Galois Theory
  • An Introduction to Irrational Numbers
  • An Introduction to Magic Squares
  • An Introduction to Mathematical Induction
  • An Introduction to Mathematical Structure
  • An Introduction to Modular Arithmetic
  • An Introduction to Number Theory
  • An Introduction to Polar Coordinates
  • An Introduction to Proof by Contradiction
  • An Introduction to Tree Diagrams
  • An Introduction to Vectors
  • Ancient Astronomical Terms
  • Approximations, Euclid's Algorithm & Continued Fractions
  • Arclets Explained
  • Behind the Rules of Go
  • Binomial Coefficients
  • Card Shuffle
  • Choosing Questions
  • Conditional Probability Is Important for All Students!
  • Conic Sections
  • Continued Fractions I
  • Continued Fractions II
  • Coordinates and Descartes
  • Corresponding Sudokus
  • Cricket Ratings
  • Curiosity: the Journey from Novice to Expert
  • Curvature of Surfaces
  • Dancing with Maths
  • Decathlon: the Art of Scoring Points
  • Difference Dynamics Discussion
  • Ding Dong Bell
  • Divided Differences
  • Divisibility Tests
  • Drawing Doodles and Naming Knots
  • Elastic Maths
  • Electromagnetism
  • Euclid's Algorithm I
  • Euclid's Algorithm II
  • Euler's Formula
  • Euler's Formula and Topology
  • Evidence and Headlines
  • Example STEP Differential Equation Questions
  • Fantastic Fractals
  • First Order Differential Equations
  • Fractional Calculus I
  • Fractional Calculus II
  • Fractional Calculus III
  • Frieze Patterns in Cast Iron
  • From A Random World to a Rational Universe
  • From WOW to WHY?
  • Generic Examples: Seeing Through the Particular to the General
  • Genetic Intrigue
  • Geometry and Gravity 1
  • Geometry and Gravity 2
  • Geometry: A History from Practice to Abstraction
  • Getting Started with Solving Rich Tasks
  • Getting to Grips with Trigonometry
  • Going First
  • Golden Mathematics
  • Grouping Transformations
  • High Jumping
  • Hilbert's Hotel
  • History of Morse
  • History of Trigonometry - Part 2
  • History of Trigonometry - Part 3
  • How Many Elements Are There in the Cantor Set?
  • How Many Geometries Are There?
  • How the Velodrome Found Its Form
  • How to Sketch Graphs
  • How to Solve Unusual Exams Questions
  • I've Submitted a Solution - What Next?
  • If I Share, Will My Friends Share Too?
  • Impossible Polyhedra
  • Impossible Sandwiches
  • Impuzzable
  • Incircles Explained
  • Infinite Continued Fractions
  • Influenza Virus: It's All in the Packaging
  • Inspect Your Gadgets
  • Integration
  • Investigating Solids with Face-transitivity
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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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