This activity challenges you to make collections of shapes. Can you
give your collection a name?
What shape is the overlap when you slide one of these shapes half
way across another? Can you picture it in your head? Use the
interactivity to check your visualisation.
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
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.
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?
Complete the squares - but be warned some are trickier than they
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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?
Sort the houses in my street into different groups. Can you do it in any other ways?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
Investigate how the four L-shapes fit together to make an enlarged
L-shape. You could explore this idea with other shapes too.
What is the greatest number of squares you can make by overlapping
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.
Find out what a "fault-free" rectangle is and try to make some of
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?
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?
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?
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.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Can you match the mass and length or height of these things to
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?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Can you fit the tangram pieces into the outline of this telephone?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Can you fit the tangram pieces into the outlines of these clocks?
Try this interactive strategy game for 2
A variant on the game Alquerque
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 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 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
How many different rhythms can you make by putting two drums on the
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
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.
Play a dice game of chance
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
Can you fit the tangram pieces into the outlines of these people?
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 the child walking home from school?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.
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 fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outline of Little Fung at the table?