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?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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.
Can you make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
A variant on the game Alquerque
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
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.
An odd version of tic tac toe
A card pairing game involving knowledge of simple ratio.
How many right angles can you make using two sticks?
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?
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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Can you fit the tangram pieces into the outline of Little Ming?
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
Match the halves.
Exchange the positions of the two sets of counters in the least possible number of moves
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
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!
Move just three of the circles so that the triangle faces in the
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.
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
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. . . .
An interactive activity for one to experiment with a tricky tessellation
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?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
A generic circular pegboard resource.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
What does the overlap of these two shapes look like? Try picturing it in your head and then use the interactivity to test your prediction.
Work out the fractions to match the cards with the same amount of
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Train game for an adult and child. Who will be the first to make the train?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
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?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?