Scale drawings

Scale drawings

Secondary 2
TGM Original — E Math Summary Notes (4052), 2026 editorial manuscript

A scale \(1:n\) compares drawing length with actual length in the same units. Choose a scale that fits the paper, convert the dimensions before drawing, and measure only a drawing known to be at that scale.

Example

A rectangular room is \(8\text{ m}\) by \(5\text{ m}\). At scale \(1:100\), draw \(8\text{ cm}\) by \(5\text{ cm}\), using a set square for right angles. A measured \(2.4\text{ cm}\) doorway position represents \(240\text{ cm}=2.4\text{ m}\).

For a route or site plan, draw a north line and use the protractor clockwise from north for a bearing. For example, a \(3\text{ km}\) route on bearing \(060^\circ\), at \(1\text{ cm}:0.5\text{ km}\), is a 6 cm segment making \(60^\circ\) clockwise with north. Measurement introduces small errors; quote realistic accuracy.

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