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
Chances are
Age
14 to 16
Challenge level
Which of these games would you play to give yourself the best possible chance of winning a prize?
problem
Favourite
The better choice
Age
14 to 16
Challenge level
Here are two games you can play. Which offers the better chance of winning?
problem
Favourite
Which spinners?
Age
14 to 18
Challenge level
Can you work out which spinners were used to generate the frequency charts?
problem
Favourite
Last one standing
Age
14 to 16
Challenge level
Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
problem
Favourite
Who's the winner?
Age
14 to 16
Challenge level
When two closely matched teams play each other, what is the most likely result?
problem
Favourite
In a box
Age
14 to 16
Challenge level
Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
problem
Favourite
Same number!
Age
14 to 16
Challenge level
If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
problem
Favourite
Odds and evens made fair
Age
14 to 16
Challenge level
In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
problem
Favourite
Mathsland national lottery
Age
14 to 16
Challenge level
Can you work out the probability of winning the Mathsland National Lottery?
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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.