Scale Drawings worksheet
10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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4 marks
A plan of a field is drawn to a scale of 1 cm to 25 m.
(a)On the plan, the track is \(7\) cm long.
Find the real length of the track.
(b)The real fence is \(50\) m long.
Calculate how long the fence should be on the plan.
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4 marks
The diagram is a scale drawing of a rectangular field. The scale is 1 cm to 10 m.
On the drawing the field is \(9\) cm long and \(7\) cm wide.
(a)Find the real length of the field.
(b)A barn in the field is \(30\) m across.
Work out how wide the barn should be drawn on the scale drawing.
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4 marks
Part of a plan of a school is shown in the table. The scale of the plan is 1 cm to 3 m.
Room Length on the plan Real length Corridor 6 cm 18 m Classroom 2 cm Hall 21 m (a)Calculate the real length of the classroom.
(b)Calculate the length of the hall on the plan.
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3 marks
A map is drawn to a scale of \(1 : 25000\).
On the map, the distance from Garsdale to Hollowbrook is \(16\) cm.
Calculate the real distance from Garsdale to Hollowbrook, in kilometres.
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3 marks
A map is drawn to a scale of \(1 : 25000\).
The real distance from Garsdale to Hollowbrook is \(0.75\) km.
Find the distance from Garsdale to Hollowbrook on the map, in centimetres.
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3 marks
Priya builds a model sailing boat.
The model is \(20\) cm long. The real sailing boat is \(7.4\) m long.
Write the scale of the model as a ratio in the form \(1 : n\).
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4 marks
A plan of a playground is drawn to a scale of 1 cm to 4 m.
(a)On the plan, the running track is \(6\) cm long.
Calculate the real length of the running track.
(b)The real wall is \(16\) m long.
Work out how long the wall should be on the plan.
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4 marks
The diagram is a scale drawing of a rectangular playground. The scale is 1 cm to 2 m.
On the drawing the playground is \(8\) cm long and \(6\) cm wide.
(a)Work out the real length of the playground.
(b)A climbing frame in the playground is \(4\) m across.
Work out how wide the climbing frame should be drawn on the scale drawing.
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4 marks
Part of a plan of an office is shown in the table. The scale of the plan is 1 cm to 3 m.
Room Length on the plan Real length Corridor 2 cm 6 m Meeting room 6 cm Reception 15 m (a)Find the real length of the meeting room.
(b)Find the length of the reception on the plan.
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3 marks
A map is drawn to a scale of \(1 : 25000\).
On the map, the distance from Ashford to Bramley is \(14\) cm.
Calculate the real distance from Ashford to Bramley, in kilometres.
Answers
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(a) \(175\ \text{m}\)
(b) \(2\ \text{cm}\) -
(a) \(90\ \text{m}\)
(b) \(3\ \text{cm}\) -
(a) \(6\ \text{m}\)
(b) \(7\ \text{cm}\) - \(4\ \text{km}\)
- \(3\ \text{cm}\)
- \(1 : 37\)
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(a) \(24\ \text{m}\)
(b) \(4\ \text{cm}\) -
(a) \(16\ \text{m}\)
(b) \(2\ \text{cm}\) -
(a) \(18\ \text{m}\)
(b) \(5\ \text{cm}\) - \(3.5\ \text{km}\)