EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: Scale Drawings and Bearings
Scale drawings and bearings · Transformations and constructions · Lesson 5 of 8 · 15 marks · 30 minutes
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Instructions
• Answer all the questions.
• Write your answers in the spaces provided.
• The marks for each question are shown in brackets - use this as a guide to how much to write.
• The answers are on separate pages at the back. Attempt every question before you look at them.
• Answer all questions. Show your working.
Question 1 NON-CALCULATOR (2 marks)
The scale on a map is 1 : 50 000. Two towns are 3.2 cm apart on the map. Work out the real distance between the towns, in kilometres.
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(Total for Question 1 = 2 marks)
Question 2 NON-CALCULATOR (2 marks)
Two villages are 4.5 km apart. Work out the distance between them on a map with scale 1 : 25 000. Give your answer in centimetres.
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(Total for Question 2 = 2 marks)
Question 3 NON-CALCULATOR (3 marks)
The diagram shows two points, A and B. The bearing of B from A is 072°. Work out the bearing of A from B.
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(Total for Question 3 = 3 marks)
Question 4 CALCULATOR (4 marks)
A ship sails 8 km on a bearing of 070°. It then sails 6 km on a bearing of 160°. Work out the distance of the ship from its starting point.
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(Total for Question 4 = 4 marks)
Question 5 NON-CALCULATOR (2 marks)
A lighthouse is due south-west of a harbour. Write down the bearing of the lighthouse from the harbour.
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(Total for Question 5 = 2 marks)
Question 6 NON-CALCULATOR (2 marks)
The bearing of Q from P is 250°. Work out the bearing of P from Q.
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(Total for Question 6 = 2 marks)
TOTAL FOR PAPER = 15 MARKS
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Answers and mark scheme
Check your answer only once you have written one.
Question 1 (2 marks)
3.2 × 50 000 = 160 000 cm = 1.6 km.
• 3.2 × 50 000 M1
• 1.6 A1
Question 2 (2 marks)
4.5 km = 450 000 cm. 450 000 ÷ 25 000 = 18 cm.
• 450 000 seen M1
• 18 A1
Question 3 (3 marks)
72 + 180 = 252°. The north lines are parallel, so the co-interior angles add up to 180°.
• 180 + 72 or 360 − (180 − 72) M1
• 252 A1
• A reason: parallel lines or back bearing C1
Question 4 (4 marks)
The two bearings differ by 160 − 70 = 90°, so the path forms a right angle. Distance = √(8² + 6²) = √100 = 10 km.
• Right angle found M1
• 8² + 6² M1
• 100 A1
• 10 A1
Question 5 (2 marks)
225°.
• 225 B2
Question 6 (2 marks)
250 − 180 = 070°.
• 250 − 180 M1
• 070 A1