KS4 Maths Club Activities

These hands-on activities are ideal for students aged 14-16 to explore in maths clubs.

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Some Circuits in Graph or Network Theory

Eulerian and Hamiltonian circuits are defined with some simple examples and a couple of puzzles to illustrate Hamiltonian circuits.
game

Two Stones

Age

5 to 18

This game is known as Pong hau k'i in China and Ou-moul-ko-no in Korea. Why not challenge a friend to play it with you?
game
Favourite

Factors and Multiples Game

Age

7 to 16

Challenge level

A game in which players take it in turns to choose a number. Can you block your opponent?
problem

Air Nets

Age

7 to 18

Challenge level

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
problem
Favourite

Fruity Totals

Age

7 to 16

Challenge level

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
problem
Favourite

Xavi's T-shirt

Age

7 to 16

Challenge level

How much can you read into a T-shirt?
game

Dominoes

Age

7 to 16

Challenge level

Everthing you have always wanted to do with dominoes! Some of these games are good for practising your mental calculation skills, and some are good for your reasoning skills.
game

Pentanim

Age

7 to 16

Challenge level

A game for 2 players with similarities to NIM. Place one counter on each spot on the games board. Players take it is turns to remove 1 or 2 adjacent counters. The winner picks up the last counter.
game

Low Go

Age

7 to 16

Challenge level

A game for 2 players. Take turns to place a counter so that it occupies one of the lowest possible positions in the grid. The first player to complete a line of 4 wins.
problem

Prime Magic

Age

7 to 16

Challenge level

Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?
problem

Colour in the Square

Age

7 to 16

Challenge level

Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
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Domino Magic Rectangle

Age

7 to 16

Challenge level

An ordinary set of dominoes can be laid out as a 7 by 4 magic rectangle in which all the spots in all the columns add to 24, while those in the rows add to 42. Try it! Now try the magic square...
problem

Eight Dominoes

Age

7 to 16

Challenge level

Using the 8 dominoes, can you make a square where each of the columns and rows adds up to 8?
problem
Favourite

Two and Two

Age

7 to 16

Challenge level

How many solutions can you find to this sum? Each of the different letters stands for a different number.
problem

Areas on a Grid

Age

11 to 16

Take a look at the video showing areas of different shapes on dotty grids...
problem
Favourite

Are We Nearly There?

Age

11 to 16

Can you describe the route followed by the arrows?
problem

Getting Round the City

Age

11 to 16

In a city with a grid system of roads, how do you get from A to B?
problem
Favourite

What's It Worth?

Age

11 to 16

Challenge level

There are lots of different methods to find out what the shapes are worth - how many can you find?
problem
Favourite

Square It

Age

11 to 16

Challenge level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
problem
Favourite

Take Ten Sticks

Age

11 to 16

Challenge level

Take ten sticks in heaps any way you like. Make a new heap using one from each of the heaps. By repeating that process could the arrangement 7 - 1 - 1 - 1 ever turn up, except by starting with it?
problem
Favourite

Charlie's Delightful Machine

Age

11 to 16

Challenge level

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
problem
Favourite

Marbles in a Box

Age

11 to 16

Challenge level

How many winning lines can you make in a three-dimensional version of noughts and crosses?
problem
Favourite

Take Three From Five

Age

11 to 16

Challenge level

Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
problem
Favourite

Tourism

Age

11 to 16

Challenge level

If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.