List

KS4 Roadshow

Two Stones
game

Two Stones

This game is known as Pong hau k'i in China and Ou-moul-ko-no in Korea. Find a friend to play or try the interactive version online.
Air Nets
problem

Air Nets

Age
7 to 18
Challenge level
filled star empty star empty star
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
Factors and Multiples Game
game
Favourite

Factors and Multiples Game

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

Prime Magic
problem

Prime Magic

Age
7 to 16
Challenge level
filled star filled star empty star
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?
Colour in the Square
problem

Colour in the Square

Age
7 to 16
Challenge level
filled star filled star empty star
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?
Dominoes
game

Dominoes

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.
Pentanim
game

Pentanim

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.
Low Go
game

Low Go

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.
Eight Dominoes
problem

Eight Dominoes

Age
7 to 16
Challenge level
filled star filled star filled star
Using the 8 dominoes make a square where each of the columns and rows adds up to 8
Two and Two
problem
Favourite

Two and Two

Age
7 to 16
Challenge level
filled star filled star filled star

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

Domino Magic Rectangle
game

Domino Magic Rectangle

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...

Are we nearly there?
problem
Favourite

Are we nearly there?

Age
11 to 16
Can you describe the route followed by the arrows?
Getting round the city
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?
What's it worth?
problem
Favourite

What's it worth?

Age
11 to 16
Challenge level
filled star empty star empty star

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

Square It
problem
Favourite

Square It

Age
11 to 16
Challenge level
filled star empty star empty star

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.

Take Ten Sticks
problem
Favourite

Take Ten Sticks

Age
11 to 16
Challenge level
filled star empty star empty star
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?
Marbles in a box
problem
Favourite

Marbles in a box

Age
11 to 16
Challenge level
filled star filled star empty star
How many winning lines can you make in a three-dimensional version of noughts and crosses?
Take Three From Five
problem
Favourite

Take Three From Five

Age
11 to 16
Challenge level
filled star filled star empty star

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?

Product Sudoku
problem
Favourite

Product Sudoku

Age
11 to 16
Challenge level
filled star filled star empty star

The clues for this Sudoku are the product of the numbers in adjacent squares.

Connect Three
problem
Favourite

Connect Three

Age
11 to 16
Challenge level
filled star filled star empty star
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
crossing the bridge
problem

crossing the bridge

Age
11 to 18
Challenge level
filled star filled star empty star
Four friends must cross a bridge. How can they all cross it in just 17 minutes?
Last Biscuit
game

Last Biscuit

Can you find a strategy that ensures you get to take the last biscuit in this game?

Who's who?
problem

Who's who?

Age
11 to 16
Challenge level
filled star filled star empty star

Can you solve the clues to find out who's who on the friendship graph?

Times right
problem

Times right

Age
11 to 16
Challenge level
filled star filled star filled star
Using the digits 1, 2, 3, 4, 5, 6, 7 and 8, mulitply a two two digit numbers are multiplied to give a four digit number, so that the expression is correct. How many different solutions can you find?
Nine Colours
problem
Favourite

Nine Colours

Age
11 to 16
Challenge level
filled star filled star filled star
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
One, Three, Five, Seven
game

One, Three, Five, Seven

A game for 2 players. Set out 16 counters in rows of 1,3,5 and 7. Players take turns to remove any number of counters from a row. The player left with the last counter looses.
Instant Insanity
problem

Instant Insanity

Age
11 to 18
Challenge level
filled star filled star filled star

Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.

How old am I?
problem
Favourite

How old am I?

Age
14 to 16
Challenge level
filled star empty star empty star
In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
Pair Products
problem
Favourite

Pair Products

Age
14 to 16
Challenge level
filled star empty star empty star

Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?

Warmsnug Double Glazing
problem
Favourite

Warmsnug Double Glazing

Age
14 to 16
Challenge level
filled star empty star empty star
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
Equal Equilateral Triangles
problem

Equal Equilateral Triangles

Age
14 to 16
Challenge level
filled star empty star empty star
Can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?
Iffy logic
problem
Favourite

Iffy logic

Age
14 to 18
Challenge level
filled star empty star empty star
Can you rearrange the cards to make a series of correct mathematical statements?
Curvy areas
problem
Favourite

Curvy areas

Age
14 to 16
Challenge level
filled star empty star empty star
Have a go at creating these images based on circles. What do you notice about the areas of the different sections?
What's Possible?
problem
Favourite

What's Possible?

Age
14 to 16
Challenge level
filled star filled star empty star
Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
Why 24?
problem
Favourite

Why 24?

Age
14 to 16
Challenge level
filled star filled star empty star
Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
Pick's Theorem
problem
Favourite

Pick's Theorem

Age
14 to 16
Challenge level
filled star filled star empty star
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
Kite in a Square
problem
Favourite

Kite in a Square

Age
14 to 18
Challenge level
filled star filled star empty star
Can you make sense of the three methods to work out what fraction of the total area is shaded?
Square Number Surprises
problem
Favourite

Square Number Surprises

Age
14 to 16
Challenge level
filled star filled star empty star
There are unexpected discoveries to be made about square numbers...
Doesn't add up
problem
Favourite

Doesn't add up

Age
14 to 16
Challenge level
filled star filled star empty star

In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

2-Digit Square
problem
Favourite

2-Digit Square

Age
14 to 16
Challenge level
filled star filled star filled star
A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?
Compare Areas
problem
Favourite

Compare Areas

Age
14 to 16
Challenge level
filled star filled star filled star
Which has the greatest area, a circle or a square, inscribed in an isosceles right angle triangle?