Scale Drawings: Fluency and Exam Drill - Worksheets, Questions and Revision

12 original exam-style questions - 3 pages of questions with a full mark scheme - free printable PDF.

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GCSE · Geometry and Measures

3.11D Scale Drawings: Fluency and Exam Drill

EDEXCEL 1MA1 · Calculator allowed · about 45 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
On a map the scale is 1:50 000. How many kilometres does 3 cm on the map represent?
(Total for Question 1 is 1 mark)
2
A map scale is 1:25 000. A straight road between two villages is 7.5 km in reality. What is the length of this road on the map, in centimetres?
(Total for Question 2 is 2 marks)
3
A scale drawing uses 1 cm to represent 2 m. On the drawing a fence is 9.5 cm long. Work out the actual length of the fence in metres.
(Total for Question 3 is 1 mark)
4
Write 1:125 as a statement giving how many metres 1 cm on the drawing represents.
(Total for Question 4 is 1 mark)
5
On a map with scale 1:40 000, the distance between two stations is 4.8 cm on the map. Work out the real distance in kilometres, giving your answer to 2 significant figures.
(Total for Question 5 is 2 marks)
6
A model car is made to a scale of 1:18. The real car is 4.2 m long. Calculate the length of the model to 3 significant figures, in centimetres.
(Total for Question 6 is 2 marks)
7
A rectangular field measures 180 m by 120 m in reality. A plan is drawn to scale 1:600. Work out the length and width of the field on the plan, giving your answers in centimetres.
(Total for Question 7 is 3 marks)
8
A map is at scale 1:100 000. A straight railway line between two cities is 72 km in reality. What is the length of this railway on the map, in millimetres?
(Total for Question 8 is 2 marks)
9
On a map with scale 1:5000 a small building is shown with dimensions 3.6 cm by 2.4 cm. Calculate the actual area of the building in square metres.
(Total for Question 9 is 3 marks)
10
A road on a map with scale 1:20 000 measures 12 cm between two villages. If the speed limit on this road is 30 km/h, calculate how long, to the nearest minute, it takes to drive from one village to the other at the speed limit.
(Total for Question 10 is 3 marks)
11
A triangular feature on a site has side lengths 6 m, 8 m and 10 m in reality. A scale drawing is required at scale 1:200. Work out the lengths of the three sides on the drawing, giving your answers in centimetres.
(Total for Question 11 is 3 marks)
12
A large rectangular plot is shown on a plan at scale 1 cm: 250 m. The plot measures 6.4 cm by 3.75 cm on the plan. A diagonal path across the plot will be surfaced with gravel at a cost of £12 per metre. Calculate the total cost to the nearest pound.
(Total for Question 12 is 5 marks)
Mark scheme · 3.11D Scale Drawings: Fluency and Exam Drill

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12