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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Take a Fresh Look

### Writing Digits

### Eightness of Eight

### Wallpaper

### Swimming Pool Tiles

### Birthday Cake Candles

### Tumbling Down

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Just because a situation is familiar doesn't mean it has to be dull! These problems invite you to look again at ideas you may think you know inside-out, and see what new discoveries you can make.

Age 5 to 7

Challenge Level

Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?

Age 5 to 7

Challenge Level

What do you see as you watch this video? Can you create a similar video for the number 12?

Age 5 to 7

Challenge Level

These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

Age 7 to 11

Challenge Level

This activity creates an opportunity to explore all kinds of number-related patterns.

Age 7 to 11

Challenge Level

This challenge involves calculating the number of candles needed on birthday cakes. It is an opportunity to explore numbers and discover new things.

Age 7 to 11

Challenge Level

Watch this animation. What do you see? Can you explain why this happens?