How many different triangles can you make on a circular pegboard
that has nine pegs?
What does the overlap of these two shapes look like? Try picturing
it in your head and then use the interactivity to test your
Can you find all the different triangles on these peg boards, and
find their angles?
Use the interactivity to investigate what kinds of triangles can be
drawn on peg boards with different numbers of pegs.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
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?
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
Use your mouse to move the red and green parts of this disc. Can
you make images which show the turnings described?
The aim of the game is to slide the green square from the top right
hand corner to the bottom left hand corner in the least number of
Can you cover the camel with these pieces?
What happens when you try and fit the triomino pieces into these
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
Use the clues to colour each square.
An odd version of tic tac toe
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Can you fit the tangram pieces into the outline of Granma T?
Take it in turns to make a triangle on the pegboard. Can you block
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....?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?
Can you fit the tangram pieces into the outline of Little Fung at the table?
Can you fit the tangram pieces into the outline of this telephone?
Can you fit the tangram pieces into the outlines of these people?
Can you fit the tangram pieces into the outlines of these clocks?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outline of the child walking home from school?
Use the interactivity to make this Islamic star and cross design.
Can you produce a tessellation of regular octagons with two
different types of triangle?
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?
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?
This 100 square jigsaw is written in code. It starts with 1 and
ends with 100. Can you build it up?
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.
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
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
How many different rhythms can you make by putting two drums on the
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
How many trains can you make which are the same length as Matt's,
using rods that are identical?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Can you fit the tangram pieces into the outline of these convex shapes?
Can you fit the tangram pieces into the outline of Little Ming and Little Fung dancing?
Can you fit the tangram pieces into the outlines of the workmen?