Probability

problem
Favourite

Fa cup

Age

16 to 18

Challenge level

In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!
problem

Bet you a million

Age

14 to 16

Challenge level

Heads or Tails - the prize doubles until you win it. How much would you pay to play?
problem

Magic bag

Age

16 to 18

Challenge level

A weekly challenge concerning combinatorical probability.
problem

Stage 5 cipher challenge

Age

16 to 18

Challenge level

Can you crack these very difficult challenge ciphers? How might you systematise the cracking of unknown ciphers?
game

Scissors, paper, rock

Age

5 to 7

Challenge level

Play this well-known game against the computer where each player is equally likely to choose scissors, paper or rock. Why not try the variations too?
problem

Probable words

Age

5 to 7

Challenge level

If you asked your mum/dad/friend to take you to the park today, what sort of response might you get?
problem
Favourite

All change

Age

5 to 7

Challenge level

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?
problem
Favourite

Domino pick

Age

5 to 7

Challenge level

Are these domino games fair? Can you explain why or why not?
problem

Two and one

Age

5 to 7

Challenge level

Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?
problem
Favourite

In the playground

Age

5 to 11

Challenge level

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?