problem
One or both
Age
14 to 16
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?
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
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
Different Digital Clock
Age
14 to 16
Challenge level
At how many times between 10 and 11 o'clock are all six digits on a digital clock different?
problem
Medal Ceremony
Age
14 to 16
Challenge level
The teacher has forgotten which pupil won which medal. In how many different ways could he give the medals out to the pupils?
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
Tying the Rope
Age
14 to 16
Challenge level
What is the probability that two pieces of rope are tied together, when Pat ties two loose ends together?
problem
Takeaway Time
Age
14 to 16
Challenge level
Pizza, Indian or Chinese takeaway? If everyone liked at least one, how many only liked Indian?
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
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
Mathsland National Lottery
Age
14 to 16
Challenge level
Can you work out the probability of winning the Mathsland National Lottery?
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
Descending Deal
Age
14 to 16
Challenge level
Four cards from a set numbered 1-36 are dealt. What is the probability that they are dealt in order?
problem
Two Girls
Age
14 to 16
Challenge level
There are 10 girls in a mixed class. If two pupils are selected, the probability that they are both girls is 0.15. How many boys are in the class?
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
Collecting Marbles
Age
14 to 16
Challenge level
How many marbles need to be taken out to ensure that at least three are of the same colour?
problem
Phone Call
Age
14 to 16
Challenge level
How many different phone numbers are there starting with a 3 and with at most two different digits?
problem
Switch On
Age
14 to 16
Challenge level
In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?
problem
Swapping Sweets
Age
14 to 16
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?
problem
Vegtown Elections
Age
14 to 16
Challenge level
What percentage of people voted for the Broccoli party in the Vegtown election?
problem
Counting Kangaroos
Age
14 to 16
Challenge level
Can you work out how many kangaroos Rachel draws in one colour?
problem
XOXOXO
Age
14 to 16
Challenge level
6 tiles are placed in a row. What is the probability that no two adjacent tiles have the same letter on them?
problem
Numbers or Letters?
Age
14 to 16
Challenge level
Which game offers you the best chance of winning?
problem
Domino Match
Age
14 to 16
Challenge level
If you take two dominoes from a set at random, what is the probability that they 'match'?
problem
CD collection
Age
14 to 16
Challenge level
How many different ways can I arrange the CDs in my collection?
problem
Flipping coins
Age
14 to 16
Challenge level
A coin is flipped 4 times. What is the probability of getting heads at least 3 times?
problem
Odd Dice
Age
14 to 16
Challenge level
These strange dice are rolled. What is the probability that the sum obtained is an odd number?
problem
Dropouts
Age
14 to 16
Challenge level
What percentage of students who graduate have never been to France?