What is the smallest number of jelly babies Tom must take, to be certain that he gets at least one of each flavour?

If two of these unusually numbered dice are thrown, how many different sums are possible?

How many routes are there in this diagram from S to T?

Two of the four small triangles are to be painted black. In how many ways can this be done?

The 30 students in a class have 25 different birthdays between them. What is the largest number that can share any birthday?

What is the probability that all three monkeys left the cafe wearing the wrong hats?

How many students are in the maths club and the science club?

Two of the triangles in the diagram are shaded black. What is the probability the resulting figure has at least one line of symmetry?

Our school dinners offer the same choice each day, and each day I try a new option. How long will it be before I eat the same meal again?

Can you work out how many children answered all the questions correctly?

How many 10-digit numbers containing only 1s, 2s and 3s can you write?

Is a score of 9 more likely than a score of 10 when you roll three dice?

Can you design a die which rolls 'fairly' against mine?

Can you work out the smallest number of socks Rachel needs to take out of the box to be guaranteed a pair?