Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?
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.
Use the blue spot to help you move the yellow spot from one star to
the other. How are the trails of the blue and yellow spots related?
Try this interactive strategy game for 2
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
A collection of our favourite pictorial problems, one for each day
An animation that helps you understand the game of Nim.
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Can you make the green spot travel through the tube by moving the
yellow spot? Could you draw a tube that both spots would follow?
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?
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?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
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 right angles can you make using two sticks?
Match the halves.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Can you find just the right bubbles to hold your number?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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?
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....?
Work out the fractions to match the cards with the same amount of
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?
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?
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 game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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?
Play a dice game of chance
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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 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 two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
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 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?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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.
Can you fit the tangram pieces into the outline of this telephone?