UniGeniusGCSE Maths · Edexcel 1MA1

Worksheets · Foundation and Higher

Speed, density, pressure and unit pricing

3 exam-style questions. Answers and the mark for each step are on the last page.

  1. Question 1Non-calculator · 3 marks

    (a) A cyclist travels 18 km in 45 minutes. Work out the average speed in km/h. (3)

  2. Question 2Calculator · 3 marks

    (a) Rice costs £2.10 for 750 g in Pack A and £3.20 for 1.2 kg in Pack B. How much cheaper is buying exactly 6 kg using only Pack B than using only Pack A? (3)

  3. Question 3Non-calculator · 3 marks

    (a) A journey consists of two equal distances. The speeds on the two sections are v km/h and (v + 20) km/h, where v > 0. The average speed for the complete journey is 48 km/h. Find v. You must show your working. (3)

Answers and marks

Question 1

(a) 2424 km/h

  • P1 Establishing 45/6045/60 or an equivalent valid method.
  • P1 Establishing 18/0.7518/0.75 or an equivalent valid method.
  • A1 Correct answer: 2424 km/h

Question 2

(a) £0.80.8

  • P1 Establishing 6/0.75×2.16/0.75\times 2.1 or an equivalent valid method.
  • P1 Establishing 6/1.2×3.26/1.2\times 3.2 or an equivalent valid method.
  • A1 Correct answer: £0.80.8

Question 3

(a) 4040 km/h

  • P1 Establishing 2/(1/v+1/(v+20))=482/(1/v+1/(v+20))=48 or an equivalent valid method.
  • P1 Establishing v2−28v−480=0v^{2}-28v-480=0 or an equivalent valid method.
  • A1 Correct answer: 4040 km/h

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Speed, density, pressure and unit pricing

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