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 right angles can you make using two sticks?
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.
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
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
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.
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.
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 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
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
How many different rhythms can you make by putting two drums on the
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?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
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 generic circular pegboard resource.
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Move just three of the circles so that the triangle faces in the
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
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?
Can you find all the different triangles on these peg boards, and
find their angles?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
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!
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?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
How many different triangles can you make on a circular pegboard that has nine pegs?
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 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?
Can you put the 25 coloured tiles into the 5 x 5 square so that no
column, no row and no diagonal line have tiles of the same colour
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
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....?
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.
Here is a chance to play a version of the classic Countdown Game.
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
If you have only four weights, where could you place them in order
to balance this equaliser?
Twenty four games for the run-up to Christmas.
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?
Choose a symbol to put into the number sentence.
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?
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?