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BECE Mathematics 2012 Paper

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Question : 26

Total: 40

A map is drawn to the scale

1: 100,000

. What distance in kilometres is represented by 5 cm on the map?

$\;\;0.5\,\mathrm{km}$
$\;\;5.0\,\mathrm{km}$
$\;\;50.0\,\mathrm{km}$
$\;\;500.0\,\mathrm{km}$

Solution:

Concept:

A map scale of

1:100{,}000

means 1 cm on the map represents

100{,}000

cm on the ground.

Explanation:

Convert the scale into kilometres first.

100{,}000\,\mathrm{cm} = 1000\,\mathrm{m} = 1\,\mathrm{km}

So,

1\,\mathrm{cm}

on the map

= 1\,\mathrm{km}

on the ground.

Therefore,

5\,\mathrm{cm}

on the map

= 5 \times 1\,\mathrm{km} = 5\,\mathrm{km}

.

This matches option B.

Answer:

5.0\,\mathrm{km}

(Option B)

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