A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Play a dice game of chance
Use the interactivity or play this dice game yourself. How could
you make it fair?
Terry and Ali are playing a game with three balls. Is it fair that
Terry wins when the middle ball is red?
Use this animation to experiment with lotteries. Choose how many
balls to match, how many are in the carousel, and how many draws to
make at once.
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
Explore this interactivity and see if you can work out what it
does. Could you use it to estimate the area of a shape?
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
A tool for generating random integers.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
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.
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
Match the halves.
How many right angles can you make using two sticks?
Work out the fractions to match the cards with the same amount of
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....?
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?
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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Explore the different tunes you can make with these five gourds.
What are the similarities and differences between the two tunes you
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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 work out how to balance this equaliser? You can put more
than one weight on a hook.
A metal puzzle which led to some mathematical questions.
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
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 find just the right bubbles to hold your number?
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?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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?
Can you fit the tangram pieces into the outlines of these clocks?
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 spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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.
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.
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 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?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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?
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?