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With just some simple arithmetic, Julia introduces us to a basic mathematical model of the spread of infectious diseases, and then introduces us to R, one of the most important numbers in disease modelling.

How many winning lines can you make in a three-dimensional version of noughts and crosses?

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

How many solutions can you find to this sum? Each of the different letters stands for a different number.

How many faces can you see when you arrange these three cubes in different ways?

This task combines spatial awareness with addition and multiplication.