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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The Remainders Game
Play this game and see if you can figure out the computer's chosen number.
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Remainders
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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Always a multiple?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
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Two-faced conic sections
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Which is cheaper?
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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Exploring cubic functions
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
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Which is bigger?
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
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Ways of Showing
The problems in this feature give you chance to consider different ways of showing (or representing) your thinking.