One or Both
Age 14 to 16 Short
Challenge Level
Problem 1 was solved by 70% of the pupils. Problem 2 was solved by 60% of them. Can you work out how many pupils took the exam?
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?
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?
The Better Choice
Age 14 to 16
Challenge Level
Here are two games you can play. Which offers the better chance of winning?
Which Spinners?
Age 14 to 18
Challenge Level
Can you work out which spinners were used to generate the frequency charts?
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?
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?
Mathsland National Lottery
Age 14 to 16
Challenge Level
Can you work out the probability of winning the Mathsland National Lottery?
Who's the Winner?
Age 14 to 16
Challenge Level
When two closely matched teams play each other, what is the most likely result?
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.
Swapping Sweets
Age 14 to 16 Short
Challenge Level
If two girls each take a sweet from each other's bags, what is the probability that they end up with what they started with?
Vegtown Elections
Age 14 to 16 Short
Challenge Level
What percentage of people voted for the Broccoli party in the Vegtown election?
Counting Kangaroos
Age 14 to 16 Short
Challenge Level
Can you work out how many kangaroos Rachel draws in one colour?
XOXOXO
Age 14 to 16 Short
Challenge Level
6 tiles are placed in a row. What is the probability that no two adjacent tiles have the same letter on them?
Numbers or Letters?
Age 14 to 16 Short
Challenge Level
Which game offers you the best chance of winning?
Domino Match
Age 14 to 16 Short
Challenge Level
If you take two dominoes from a set at random, what is the probability that they 'match'?
CD Collection
Age 14 to 16 Short
Challenge Level
How many different ways can I arrange the CDs in my collection?
Flipping Coins
Age 14 to 16 Short
Challenge Level
A coin is flipped 4 times. What is the probability of getting heads at least 3 times?
Odd Dice
Age 14 to 16 Short
Challenge Level
These strange dice are rolled. What is the probability that the sum obtained is an odd number?
Dropouts
Age 14 to 16 Short
Challenge Level
What percentage of students who graduate have never been to France?
NRICH is part of the family of activities in the Millennium Mathematics Project.