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?
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....?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Use the interactivities to complete these Venn diagrams.
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?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
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?
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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.
If you have only four weights, where could you place them in order to balance this equaliser?
Can you complete this jigsaw of the multiplication square?
A card pairing game involving knowledge of simple ratio.
A train building game for two players. Can you be the one to complete the train?
A simulation of target archery practice
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 everybody knows. You can play with a friend or online. If you play correctly you never lose!
Use the interactivity or play this dice game yourself. How could you make it fair?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
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.
A generic circular pegboard resource.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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?
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
Use the Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?
An interactive activity for one to experiment with a tricky tessellation
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?
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 spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
Can you explain the strategy for winning this game with any target?
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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. . . .
Try out the lottery that is played in a far-away land. What is the chance of winning?
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?