Curiosity is triggered when something unexpected happens. These problems aim to draw students in by offering that element of surprise.

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Try out some calculations. Are you surprised by the results?

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Draw some angles inside a rectangle. What do you notice? Can you prove it?

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Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

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Can you work out the fraction of the original triangle that is covered by the inner triangle?

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Do you have enough information to work out the area of the shaded quadrilateral?

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Can you work out the fraction of the original triangle that is covered by the green triangle?