Explaining, convincing and proving

Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

Max and Bryony both have a box of sweets. What do you know about the number of sweets they each have?

How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?

Can you find different ways of creating paths using these paving slabs?

Use your logical reasoning to work out how many cows and how many sheep there are in each field.

Without doing lots of calculations, can you decide which of these number sentences are true? How do you know?

Can you describe what is happening as this program runs? Can you unpick the steps in the process?

Complete the Mathdoku grid using the clues. Can you convince us that the number you have chosen for each square has to be correct?

Do you agree with Badger's statements? Is Badger's reasoning watertight? Why or why not?