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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
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?
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.
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Watch this film carefully. Can you find a general rule for
explaining when the dot will be this same distance from the
How many right angles can you make using two sticks?
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?
How many different rhythms can you make by putting two drums on the
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.
Try this interactive strategy game for 2
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.
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?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
An interactive activity for one to experiment with a tricky tessellation
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
How many different triangles can you make on a circular pegboard that has nine pegs?
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
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?
A generic circular pegboard resource.
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
Move just three of the circles so that the triangle faces in the
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?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
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!
Exchange the positions of the two sets of counters in the least possible number of moves
Match the halves.
Choose a symbol to put into the number sentence.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
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?
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
Use the clues to colour each square.
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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?
Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?
Stop the Clock game for an adult and child. How can you make sure you always win this game?