Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...

How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its vertical and horizontal movement at each stage.

A game for two or more players that uses a knowledge of measuring tools. Spin the spinner and identify which jobs can be done with the measuring tool shown.

Can you create a story that would describe the movement of the man shown on these graphs? Use the interactivity to try out our ideas.

Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?

If you have only four weights, where could you place them in order to balance this equaliser?

Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.

Can you find all the different ways of lining up these Cuisenaire rods?

An environment which simulates working with Cuisenaire rods.

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!

Can you find all the different triangles on these peg boards, and find their angles?

Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?

Try out the lottery that is played in a far-away land. What is the chance of winning?

How many different triangles can you make on a circular pegboard that has nine pegs?

Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.

This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?

Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.

How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?

A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

Practise your diamond mining skills and your x,y coordination in this homage to Pacman.

A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .

Our 2008 Advent Calendar has a 'Making Maths' activity for every day in the run-up to Christmas.

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

Use the interactivity to move Mr Pearson and his dog. Can you move him so that the graph shows a curve?

Here is a chance to play a version of the classic Countdown Game.

An interactive activity for one to experiment with a tricky tessellation

Can you complete this jigsaw of the multiplication square?

Exchange the positions of the two sets of counters in the least possible number of moves

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?

A tetromino is made up of four squares joined edge to edge. Can this tetromino, together with 15 copies of itself, be used to cover an eight by eight chessboard?

Train game for an adult and child. Who will be the first to make the train?

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

Ahmed has some wooden planks to use for three sides of a rabbit run against the shed. What quadrilaterals would he be able to make with the planks of different lengths?

A game for 1 person to play on screen. Practise your number bonds whilst improving your memory