When children are curious about why something works, multiple ways of representing the same concept or idea can offer insights and deepen understanding. The problems below will give your learners opportunities to consider different representations, whether they are created by the children themselves 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?