If you're curious about why something works, it can really help to find different ways of showing (or representing) your thinking. For example, you might draw a picture or use some equipment. The problems below will give you chance to think carefully about different representations, whether they are created by you or by someone else.

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How would you find out how many football cards Catrina has collected?

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Here is a selection of different shapes. Can you work out which ones are triangles, and why?

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It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?

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Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

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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?