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Maths Quiz - Scale Drawings and Maps (F) (Questions)

Understand scale drawings and maps: read ratios, convert units, and use scale factors to find real distances, lengths and areas.

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Fascinating Fact:

For a hiking route, a map distance of 12.4 cm at 1:25,000 equals 12.4 × 250 m which equals 3,100 m which equals 3.1 km. Multiply then convert.

In GCSE Maths, scale drawings and maps use ratios to represent real objects. You’ll read map scales, apply scale factors to find actual distances, and convert between centimetres, metres and kilometres.

Key Terms

Map scale: A ratio comparing drawing to real life, e.g., 1:25,000 (1 cm on the map is 25,000 cm in reality).
Scale factor: The number you multiply by to move between the drawing and real size.
Unit conversion: Changing between units, such as cm to m (÷100) and m to km (÷1,000).

Frequently Asked Questions (Click to see answers)

How do I use a map scale like 1:25,000?

Multiply the map distance by the scale factor. At 1:25,000, 1 cm represents 25,000 cm = 250 m. So real distance = map cm × 250 m.

How do I turn centimetres on a map into kilometres?

First multiply by the scale to get centimetres in real life, then convert: ÷100 to metres, ÷1,000 to kilometres. Example: 12 cm at 1:25,000 ? 3.0 km.

Do areas scale the same way as lengths?

No. Lengths scale by the scale factor, but areas scale by the scale factor squared. For example, factor 3 for length gives factor 9 for area.

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Maths Quiz - Scale Drawings and Maps (F) (Questions)

Fascinating Fact:

Key Terms

Frequently Asked Questions (Click to see answers)

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