This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.
Scroll down to see the complete collection, or explore our subcollections on Perimeter and Area in two dimensions, and Surface Area and Volume in three dimensions.
problem
Flippin' discs
Age
11 to 14
Challenge level
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
problem
Interactive spinners
Age
11 to 14
Challenge level
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
problem
Sociable cards
Age
11 to 14
Challenge level
Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
problem
Do you feel lucky?
Age
11 to 14
Challenge level
Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?
problem
What does random look like?
Age
11 to 14
Challenge level
Engage in a little mathematical detective work to see if you can spot the fakes.
problem
At least one...
Age
11 to 14
Challenge level
Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?
problem
Statistical shorts
Age
11 to 16
Challenge level
Can you decide whether these short statistical statements are always, sometimes or never true?
problem
Two's company
Age
11 to 14
Challenge level
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
problem
Cosy corner
Age
11 to 14
Challenge level
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
problem
Non-transitive dice
Age
11 to 14
Challenge level
Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?
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You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.