Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Use the interactivity or play this dice game yourself. How could
you make it fair?
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Play a dice game of chance
Terry and Ali are playing a game with three balls. Is it fair that
Terry wins when the middle ball is red?
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. . . .
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
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.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
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.
Twenty four games for the run-up to Christmas.
A generic circular pegboard resource.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
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?
How many different rhythms can you make by putting two drums on the
An interactive activity for one to experiment with a tricky tessellation
If you have only four weights, where could you place them in order
to balance this equaliser?
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
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?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
What are the coordinates of the coloured dots that mark out the
tangram? Try changing the position of the origin. What happens to
the coordinates now?
Choose the size of your pegboard and the shapes you can make. Can
you work out the strategies needed to block your opponent?
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?
Take it in turns to make a triangle on the pegboard. Can you block
Use the Cuisenaire rods environment to investigate ratio. Can you
find pairs of rods in the ratio 3:2? How about 9:6?
How many different triangles can you make on a circular pegboard
that has nine pegs?
Can you find all the different triangles on these peg boards, and
find their angles?
Move just three of the circles so that the triangle faces in the
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
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?
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
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.
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?
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!
Explore this interactivity and see if you can work out what it
does. Could you use it to estimate the area of a shape?
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
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.
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 right angles can you make using two sticks?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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?
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?
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....?
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?