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### Number and algebra

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### Working mathematically

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### For younger learners

# Overarch 2

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### High Jumping

### Wobbler

### Well Balanced

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Age 16 to 18

Challenge Level

Bricks are 20cm long and 10cm high. If you built a tower of single bricks without using mortar on a flat horizontal surface, how tall would the tower have to be for it to overhang by 1 metre? How big an overhang is it possible to make like this?

How high can a high jumper jump? How can a high jumper jump higher without jumping higher? Read on...

A cone is glued to a hemisphere. When you place it on a table in what position does it come to rest?

Exploring balance and centres of mass can be great fun. The resulting structures can seem impossible. Here are some images to encourage you to experiment with non-breakable objects of your own.