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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Dicey Perimeter, Dicey Area

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### Geoboards

### Tiles on a Patio

### Pebbles

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Age 7 to 11

Challenge Level

- Game
- Getting Started
- Teachers' Resources

How can the dice help you draw a shape with that area?

Have you got all the shapes with that area/perimeter? How do you know?

How could you 'tweak' that shape to get another with the same perimeter?

Have you got all the shapes with that area/perimeter? How do you know?

How could you 'tweak' that shape to get another with the same perimeter?

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

How many ways can you find of tiling the square patio, using square tiles of different sizes?

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?