If you asked your mum/dad/friend to take you to the park today, what sort of response might you get?
The class were playing a maths game using interlocking cubes. Can you help them record what happened?
What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?
What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?
You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.
Try out the lottery that is played in a far-away land. What is the chance of winning?
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?
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?
Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
Engage in a little mathematical detective work to see if you can spot the fakes.
Can you work out the probability of winning the Mathsland National Lottery? Try our simulator to test out your ideas.
Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
The NRICH Stage 5 weekly challenges are shorter problems aimed at Post-16 students or enthusiastic younger students. There are 52 of them.
Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!
10 starting points for risk vs reward
Invent a set of three dice where each one is better than one of the others?
Explore these X-dice with numbers other than 1 to 6 on their faces. Which one is best?
Calculate probabilities associated with the Derren Brown coin scam in which he flipped 10 heads in a row.