Mathematicians aren't usually satisfied with looking at a few examples and spotting patterns. That is just the start! They will form conjectures based on their noticings and they will want to know whether their conjectures are always true. The tasks in this feature give you the chance to identify patterns, make conjectures and then create mathematical arguments that will be convincing to mathematicians!

The last day for sending in solutions to the live problems is Monday 31 January.

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This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

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This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

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Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?

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Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

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What happens when you add three numbers together? Will your answer be odd or even? How do you know?

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

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

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I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

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Take three consecutive numbers and add them together. What do you notice?