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 the interactivity to move Mr Pearson and his dog. Can you move
him so that the graph shows a curve?
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?
Sort the houses in my street into different groups. Can you do it in any other ways?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
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?
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
Stop the Clock game for an adult and child. How can you make sure you always win this game?
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.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
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?
A variant on the game Alquerque
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
An interactive activity for one to experiment with a tricky tessellation
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.
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Exchange the positions of the two sets of counters in the least possible number of moves
How many different rhythms can you make by putting two drums on the
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. . . .
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Can you find all the different ways of lining up these Cuisenaire
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.
A game for 2 players. Can be played online. One player has 1 red
counter, the other has 4 blue. The red counter needs to reach the
other side, and the blue needs to trap the red.
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.
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?
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
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.
A simulation of target archery practice
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 make a triangle on the pegboard. Can you 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!
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
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?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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 in them?
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?
Can you find all the different triangles on these peg boards, and
find their angles?
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?