Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
If you have only four weights, where could you place them in order to balance this equaliser?
The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?
Can you complete this jigsaw of the multiplication square?
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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Here is a chance to play a version of the classic Countdown Game.
What happens when you turn these cogs? Investigate the differences between turning two cogs of different sizes and two cogs which are the same.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Use the interactivity or play this dice game yourself. How could you make it fair?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
An interactive game to be played on your own or with friends. Imagine you are having a party. Each person takes it in turns to stand behind the chair where they will get the most chocolate.
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?
Work out the fractions to match the cards with the same amount of money.
Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?
How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!
A train building game for 2 players.
A generic circular pegboard resource.
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
An interactive activity for one to experiment with a tricky tessellation
Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
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.
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. . . .
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
What are the coordinates of the coloured dots that mark out the tangram? Try changing the position of the origin. What happens to the coordinates now?
What shaped overlaps can you make with two circles which are the same size? What shapes are 'left over'? What shapes can you make when the circles are different sizes?
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?
You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2? How about 9:6?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
A card pairing game involving knowledge of simple ratio.
This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
A simulation of target archery practice
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Train game for an adult and child. Who will be the first to make the train?
What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.