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4MA1/2HR Jan 2019, Question 5: Three-Figure Bearings

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks

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The question, in short

Using a scale drawing where 1 cm represents 20 metres, locate a post box 140 metres from the library on bearing 220°, then measure the hall's distance and bearing from it.

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

Part (a) · 2 marks

Mark the post box on the drawing with a cross labelled P, using the given distance and bearing from the library.

  1. 1140 ÷ 20 = 7 cm
  2. 2Draw line at bearing 220° from library
  3. 3Mark point P 7 cm from library along this line
  4. 4Label P

AnswerP in correct region on overlay

Part (bi) · 1 mark

From the drawing, find the real distance in metres between the hall and the post box.

  1. 1Measure distance from hall to P on scale drawing
  2. 2Convert cm to metres using scale (×20)
  3. 3154 m

Answer154 (accept 150 to 158)

Part (bii) · 1 mark

From the drawing, find the bearing of the hall as measured from the post box.

  1. 1Measure angle clockwise from north at P to hall
  2. 2Bearing of hall from post box is 332°

Answer332 (accept 330 to 334)

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

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