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4MA1/1F Nov 2021, Question 6: Three-Figure Bearings

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 7 marks

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The question, in short

Use a centimetre grid map of an island with points A and B to read coordinates, measure bearing and length, convert to real distance, and find a journey time.

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

Part (a) · 1 mark

State the grid coordinates of point A.

  1. 1Read the coordinates of point A from the grid.
  2. 2The horizontal (x) coordinate is 1, the vertical (y) coordinate is 4.
  3. 3(1, 4)

Answer(1, 4)

Part (b) · 2 marks

Measure and give the bearing of A as seen from B.

  1. 1Draw a north line at B
  2. 2Measure clockwise from north round to the line BA
  3. 3Bearing of A from B = 248° (246° to 250° accepted)

Answer248 (accept 246 to 250)

Part (c) · 1 mark

Measure the straight line AB and give its length in centimetres to one decimal place.

  1. 1Place the ruler's zero on A and read the length at B
  2. 2AB = 5.4 cm

Answer5.4 (accept 5.2 to 5.6)

Part (d) · 1 mark

Using 1 cm represents 5 km, calculate the real distance Aaron cycled from A to B.

  1. 1AB measures 5.4 cm on the map
  2. 21 cm represents 5 km, so 5.4 × 5 = 27 km

Answer27

Part (e) · 2 marks

Find how long the ride took from 10 45 am to 1 05 pm, in hours and minutes.

  1. 110 45 am to 12 45 pm is 2 hours
  2. 212 45 pm to 1 05 pm is 20 minutes
  3. 3Total: 2 hours 20 minutes

Answer2 hours 20 minutes or 2:20

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