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.
Stop the Clock game for an adult and child. How can you make sure you always win this game?
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
Move just three of the circles so that the triangle faces in the
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?
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!
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?
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?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Exchange the positions of the two sets of counters in the least possible number of moves
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to 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?
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?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Find out what a "fault-free" rectangle is and try to make some of
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
A train building game for 2 players.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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.
Can you find all the different ways of lining up these Cuisenaire
A game for two or more players that uses a knowledge of measuring
tools. Spin the spinner and identify which jobs can be done with
the measuring tool shown.
Can you find all the different triangles on these peg boards, and
find their angles?
How many different triangles can you make on a circular pegboard that has nine pegs?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
How many different rhythms can you make by putting two drums on the
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Match the halves.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
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?
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 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?
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?
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?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Work out the fractions to match the cards with the same amount of