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4MA1/2FR Jan 2022, Question 17: Scale Drawings

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks

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The question, in short

Using an accurate scale drawing where 1 cm represents 500 m, find the bearing of station S from college C, then calculate how many of Charles's 0.44 m steps the straight walk from C to S takes.

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

Part (a) · 1 mark

Measure the bearing of S from C using the scale drawing and its North lines.

  1. 1Measure angle clockwise from north line at C to line joining C to S
  2. 2Obtain angle in range 138 to 142
  3. 3Answer given as 140

Answer140 (accept 138 to 142)

Part (b) · 4 marks

Find the real distance from C to S using the scale, then divide by 0.44 m to get Charles's steps, rounded to a whole number.

  1. 1Measure distance between C and S on diagram in cm, obtain value in range 5.8 to 6.2
  2. 2Multiply measured distance by 500 to convert to metres: e.g. 6.0 × 500 = 3000 m
  3. 3Divide total distance in metres by step length: 3000 ÷ 0.44 = 6818.18...
  4. 4Round to nearest whole number: 6818

Answer6818 (accept 6591 to 7045)

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