Lemmara logoLemmaraWorked solution

4MA1/2F Jan 2022, Question 20: Three-Figure Bearings

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Using a scale diagram where 1 cm represents 200 metres, locate house C from house A given a bearing of 110° and a distance of 700 m, and express the map scale as a ratio.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 3 marks

Mark and label a cross for the position of C, using the bearing 110° from A and distance 700 m with the given scale.

  1. 11 cm on the map represents 200 m
  2. 2700 ÷ 200 = 3.5, so A to C is 3.5 cm on the map
  3. 3Put a protractor on A with 0° on the North line and measure 110° clockwise
  4. 4Draw a line from A in that direction
  5. 5Measure 3.5 cm from A along the line and mark the point with a cross labelled C

AnswerA cross labelled C, drawn 3.5 cm from A on a bearing of 110° (so down and to the right of A, 20° below the East direction)

Part (b) · 1 mark

Write the map scale in the form 1 : n.

  1. 11 cm on the map represents 200 m on the ground
  2. 2200 m = 200 × 100 = 20 000 cm
  3. 31 cm represents 20 000 cm
  4. 4The scale is 1 : 20 000

Answer20 000

Stuck on a step? Read the free lesson: Three-Figure Bearings

Practise more three-figure bearings questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on three-figure bearings

Also searched as: 4MA1 2F January 2022 · 4MA1/2F · 4ma1 jan22 2f · question 20.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.