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?

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?

Challenge Level

Which of these games would you play to give yourself the best possible chance of winning a prize?

Challenge Level

Here are two games you can play. Which offers the better chance of winning?

Challenge Level

Can you work out which spinners were used to generate the frequency charts?

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?

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?

Challenge Level

Can you work out the probability of winning the Mathsland National Lottery?

Challenge Level

When two closely matched teams play each other, what is the most likely result?

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.

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?

Challenge Level

What percentage of people voted for the Broccoli party in the Vegtown election?

Challenge Level

Can you work out how many kangaroos Rachel draws in one colour?

Challenge Level

6 tiles are placed in a row. What is the probability that no two adjacent tiles have the same letter on them?

Challenge Level

Which game offers you the best chance of winning?

Challenge Level

If you take two dominoes from a set at random, what is the probability that they 'match'?

Challenge Level

How many different ways can I arrange the CDs in my collection?

Challenge Level

A coin is flipped 4 times. What is the probability of getting heads at least 3 times?

Challenge Level

These strange dice are rolled. What is the probability that the sum obtained is an odd number?

Challenge Level

What percentage of students who graduate have never been to France?