Reasoning, convincing and proving

How do these modelling assumption affect the solutions?

Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?

What fractions can you divide the diagonal of a square into by simple folding?

Have a go at creating these images based on circles. What do you notice about the areas of the different sections?

Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Was it possible that this dangerous driving penalty was issued in error?

This group tasks allows you to search for arithmetic progressions in the prime numbers. How many of the challenges will you discover for yourself?

Can you match the charts of these functions to the charts of their integrals?

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

Sort these mathematical propositions into a series of 8 correct statements.