When working mathematically, we use many different tools to help us to understand, like diagrams, tables of results, algebraic rules, graphs, and models. In these problems, we invite you to use a range of different tools and find out how switching between different ways of working can help you to crack tricky challenges!

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Play this game and see if you can figure out the computer's chosen number.

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Can you find examples of magic crosses? Can you find all the possibilities?

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I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

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Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

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When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

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Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

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Quadratic graphs are very familiar, but what patterns can you explore with cubics?