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4MA1/1F Jun 2018, Question 9: Conversion Graphs

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks

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The question, in short

Use the Celsius-Fahrenheit conversion graph to convert a 20 °C rise into Fahrenheit, and judge whether doubling 30 °C to 60 °C doubles 86 °F to 172 °F.

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

Part (a) · 2 marks

Find the Fahrenheit value matching a 20 °C temperature increase, using the graph's conversion line.

  1. 1Read temperature in °F at 0°C: approximately 32°F
  2. 2Read temperature in °F at 20°C: approximately 68°F
  3. 3Calculate difference: 68 − 32 = 36

Answer36

Part (b) · 1 mark

Decide if Maninder's claim about 60 °C equalling 172 °F is right, giving a reason.

  1. 1Read 60 °C from the graph: it is about 140 °F
  2. 2°F is not proportional to °C (the line does not pass through (0, 0)), so doubling fails
  3. 3No, 60 °C is about 140 °F, not 172 °F

AnswerNo, 60 °C is about 140 °F, not 172 °F

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