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ClubMaths™ activities

ClubMaths™ activity ClubMaths™ activity ClubMaths™ activity ClubMaths™ activity ClubMaths™ activity

ClubMaths™ activities are designed for secondary mathematics teachers who need quality extension or enrichment materials, or who are looking for rich mathematical tasks. Each activity is on a well-researched mathematical theme and includes materials ready for use with pupils.

Unlike traditional sources of material, each issue of ClubMaths™ is self-contained and includes comprehensive support for the teacher in the form of four pages of Teacher’s Notes.

Teachers are using ClubMaths™ to raise standards of achievement and to strengthen and develop the teaching of mathematics, for example with a maths club or for Gifted & Talented provision. The rich tasks may also be used as extension or enrichment material in the normal mathematics classroom.

ClubMaths™ activities are available as digital downloads in PDF format—ideal for printing or interactive whiteboard use.

A sample problem appears below. Visit the ClubMaths™ Gallery to see further samples of the activities and notes.

“Being a language, mathematics may be used not only to inform but also, among other things, to seduce.”—Benoit Mandelbrot

What is included?

Each ClubMaths issue is packaged as a single PDF file and includes:

You can see full-page samples of the activities and notes by going to the ClubMaths™ Gallery:

Sample problem

As an example to show what ClubMaths™ activities are like, here is one of the problems from an issue of ClubMaths™.

From ClubMaths™ 10: Symmetry Patterns
Counters on a grid

Find the smallest number of counters that need to be added to create a pattern with a line of symmetry.

Who are ClubMaths™ activities for?

The activities are designed to be suitable for pupils aged 11 to 14, but teachers also use them in the mathematics classroom with other age groups, as maths enrichment or extension materials.

Many of the tasks are investigative in nature so that ClubMaths™ activities work well with pupils of varying abilities. Some of the tasks involve ideas of proof and all are a valuable resource for those learning the art of problem solving.

In each issue the tasks are graded in difficulty, which helps to ensure that there is something accessible to all.

How long do ClubMaths™ activities take to do?

Of course, a lot depends on the age and ability of the pupils. Most users find that there is enough material in the activities themselves to last for two sessions, sometimes more.

In addition the topics are rich in possibilities and include ideas and suggestions for follow-up activities in the Teacher's Notes, so that more can be gained from each issue.

  1. Trapezium Dissections

    Shape, Dissection

    • Dissecting a trapezium into a parallelogram.
    • Dissecting a trapezium into a triangle.
  2. Sixteen Squares

    Spatial, Combinatorics

    • Arranging sixteen squares so that patterns occur in each row and column.
    • Arranging sixteen squares so that lines continue unbroken across the grid.
  3. Sliding Coins

    Spatial, Logic

    • Changing one pattern into another on a triangular grid.
    • Changing one pattern into another on a square grid.
  4. Strategy Games

    Strategy, Logic

    • Bachet’s game—taking counters from a pile.
    • A harder take-away game.
  5. Card Tricks


    • Three piles—dealing 21 cards into three piles three times.
    • Stacks—dealing 26 cards into stacks predicts a card.
  6. Fold and Cut

    Spatial, Shape

    • Fold and cut a square; fold and cut a rhombus and kite.
    • Fold and cut a hexagon; fold and cut a pentagon, rectangle, isosceles triangle, trapezium and right-angled triangle.
  7. Matchsticks

    Spatial, Logic

    • Removing matches from a 2 x 3 rectangular grid to leave squares.
    • Removing matches from a 3 x 3 square grid to leave squares.
  8. Magic Octagrams


    • Panmagic octagrams.
    • Magic octagrams with given corner sum.
  9. A Polyhedron Model without glue

    Shape, 3D

    • Polyhedron Instructions.
    • Polyhedron Template.
  10. Symmetry Patterns

    Spatial, Logic

    • Adding counters to patterns to create line symmetry.
    • Adding counters to patterns to create rotational symmetry.
  11. Triangular Solitaire

    Spatial, Logic

    • Peg solitaire on a triangular board with four hexagons along an edge.
    • Peg solitaire on a triangular board with five hexagons along an edge.
  12. N-ominoes and Rectangles

    Shape, Combinatorics

    • Making rectangles with tetrominoes; making rectangles with hexominoes.
    • Making rectangles with 9-ominoes.
  13. Primes and Sums


    • Placing numbers in a rectangular grid so that adjacent sums are prime.
    • Magic squares of primes; heterosquares of primes.
  14. Dominono and Chomp


    • The game Dominono on small boards.
    • The game Chomp on small boards.
  15. Square Flexagons


    • How to make a flexagon; how to flex a flexagon.
    • Flexagons A and B.
    • Flexagon C.
    • Flexagon D.
  16. Division into Triangles

    Shape, Combinatorics

    • Dividing a triangle into triangles.
    • Dividing a square into triangles.
  17. Folding Curves and Thirds


    • Folding a parabola; folding an ellipse.
    • Trisecting a rectangle by folding; trisecting an angle by folding.
  18. Matchstick Triangles

    Shape, Combinatorics

    • Using matchsticks to make polyiamonds.
    • Using eighteen matchsticks to make arrangements of triangles.
  19. Polyhedron Puzzles

    Shape, 3D

    • Fit three pyramids together to form a cube.
    • Fit four shapes together to form a tetrahedron.
  20. Digits, Products and Squares


    • Problems involving digits, products and squares of whole numbers.
    • Using a rule to generate a sequence of numbers.
  21. Hexagon and Octagon Dissections

    Shape, Dissection

    • Two hexagons into a triangle; three hexagons into one; two hexagons into one.
    • One octagon into two; two octagons into one.
  22. Rook's Tours

    Spatial, Logic, Combinatorics

    • Closed tours on rectangular boards with some squares removed.
    • Enumerating closed tours on rectangular boards.
  23. Folding Stamps and Maps

    Spatial, Combinatorics

    • Possible orderings when a strip of stamps is folded.
    • Possible orderings when a rectangular map is folded in sections.
  24. Polyiamonds

    Shape, Tiling, Combinatorics

    • Tetriamonds & Pentiamonds: making shapes; enumerating pentiamonds; tiling the plane.
    • Hexiamonds & Heptiamonds: enumerating hexiamonds; making shapes; tiling the plane.
  25. Heads and Tails

    Spatial, Logic, Strategy

    • Transforming patterns by sliding pairs of coins; the game Dodgem
    • Turning over coins in a circle; the puzzle Blet.
  26. Dots

    Spatial, Combinatorics, Strategy

    • Drawing a broken line through patterns of dots.
    • Tactics and strategy for the Dots and Boxes game.
  27. Constructing Numbers

    Number, Fractions

    • Constructing numbers using four digits and the four arithmetic operations.
    • Egyptian Fractions: writing fractions as a sum of different unit fractions.
  28. Chains and Jugs


    • Joining and breaking pieces and closed loops of chain.
    • Measuring water and dividing milk using jugs.
  29. Eight Tetrahedra

    Shape, 3D

    • The Compound of Eight Tetrahedra.
    • Tetrahedron with one dimple.
    • Tetrahedron with two dimples.
  30. Neighbours

    Number, Logic

    • Odd Neighbours: placing counters in a grid.
    • Neighbour Puzzles: placing digits in a grid and removing counters from a grid.

“Whenever I use the ClubMaths materials in class I have a very good response – they are accessible to all initially and lead to lots of good discussion.”

More testimonials

Visit the ClubMaths™ Gallery to see samples of the activities and notes.

ClubMaths™ Gallery

“I like these a lot, and I will definitely be using them in my Inter Tutor Group Challenge.

They are accessible to all levels of ability, and can be either practical – with real matchsticks, or done by drawing, which is great.”

More testimonials

We are always pleased to receive comments about ClubMaths™ activities and their use in schools.

Contact us

The purchaser of a ClubMaths™ PDF file is licensed to use, print or photocopy the material for educational purposes only within the institution named on the invoice or for personal study.

One digital copy of the file may be made as a backup otherwise no part of the file may be reproduced or distributed by any electronic or digital means.

The contents of the file are subject to copyright and all rights in respect of copyright are reserved.

“I used the material today with a group of talented year 7, 8 and 9 pupils who appeared to enjoy it very much. Thank you.”

More testimonials

Each ClubMaths issue is packaged as a single PDF file.

Free software to read and print PDF documents may be downloaded from Adobe: Get Adobe Reader