When we meet something for the first time, we are curious to know more. We hope that the new ideas or new situations that you meet in these activities will hook you in by stirring your sense of wonder.

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### One Big Triangle

Make one big triangle so the numbers that touch on the small triangles add to 10.

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### If the World Were a Village

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

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### Possible Pieces

Can you create jigsaw pieces which are based on a square shape, with at least one peg and one hole?

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### Little Man

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

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### Overlaps

What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.

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### Bundles of Cubes

Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?

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### Take a fresh look

These problems invite you to look again at ideas you may think you know inside-out.