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
Favourite
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
Favourite
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
Favourite
Statistical shorts
Age
11 to 16
Challenge level
Can you decide whether these short statistical statements are always, sometimes or never true?
problem
Favourite
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
Favourite
Odds and Evens
Age
11 to 14
Challenge level
Are these games fair? How can you tell?
problem
Favourite
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
Favourite
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
Favourite
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
Favourite
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?
problem
Favourite
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
Favourite
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?
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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.