This activity challenges you to make collections of shapes. Can you
give your collection a name?
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?
Complete the squares - but be warned some are trickier than they
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
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 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?
A generic circular pegboard resource.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
How many different triangles can you make on a circular pegboard
that has nine pegs?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
Terry and Ali are playing a game with three balls. Is it fair that
Terry wins when the middle ball is red?
A card pairing game involving knowledge of simple ratio.
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?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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.
An odd version of tic tac toe
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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 all the different right-angled
triangles you can make by just moving one corner of the starting
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!
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Take it in turns to make a triangle on the pegboard. Can you block
An interactive activity for one to experiment with a tricky tessellation
How many different rhythms can you make by putting two drums on the
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?
Exchange the positions of the two sets of counters in the least possible number of moves
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Match the halves.
A variant on the game Alquerque
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.
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....?
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.
Work out the fractions to match the cards with the same amount of
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. . . .
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?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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!
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?
Choose the size of your pegboard and the shapes you can make. Can
you work out the strategies needed to block your opponent?
Arrange any number of counters from these 18 on the grid to make a
rectangle. What numbers of counters make rectangles? How many
different rectangles can you make with each number of counters?
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?