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0580/32 Feb/Mar 2021, Question 8: Direct Proportion in Real Life

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 13 marks

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The question, in short

A baker bakes cakes at 5.50 pm for 20 minutes, scales a 550 g flour recipe to 360 cakes, compares three flour bags' value, finds percentage profit on a 24 cent cake sold at 65 cents, and interprets a Venn diagram of cake preferences.

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

Part (a) · 1 mark

Complete a blank clock face to show the time the cakes finish baking.

  1. 15.50 pm + 20 minutes = 6.10 pm
  2. 2Draw the minute hand pointing to 2 and the hour hand just past 6

Answer10 past 6 shown on clock face diagram

Part (b) · 3 marks

Find the flour mass in kilograms needed for 360 cakes, given 550 g makes 8 cakes.

  1. 1Flour for 1 cake = 550 ÷ 8 = 68.75 g
  2. 2360 cakes: 68.75 × 360 = 24 750 g
  3. 324 750 ÷ 1000 = 24.75 kg

Answer24.75

Part (c) · 3 marks

Determine which of bags A (850 g, 55 cents), B (950 g, 60 cents) and C (1250 g, 80 cents) is best value, showing working.

  1. 1A: 850 ÷ 55 = 15.45 g per cent
  2. 2B: 950 ÷ 60 = 15.83 g per cent
  3. 3C: 1250 ÷ 80 = 15.63 g per cent
  4. 4B gives the most flour per cent, so B is best value

AnswerB

Part (d) · 2 marks

Calculate the percentage profit per cake when production costs 24 cents and selling price is 65 cents.

  1. 1Profit = 65 − 24 = 41 cents
  2. 2Percentage profit = 41 ÷ 24 × 100 = 170.8…%
  3. 3≈ 171%

Answer171 or 170.8…

Part (ei) · 1 mark

Complete the statement giving n(ℰ), the total number of customers surveyed.

  1. 16 + 2 + 3 + 1 = 12

Answer12

Part (eii) · 1 mark

Find the fraction of customers who like lemon or chocolate cake but not both.

  1. 1L or C but not both = 6 + 3 = 9
  2. 29/12 = 3/4

Answer3/4

Part (eiii) · 1 mark

Use set notation to complete the statement for the set {Jai, Nera}.

  1. 1Jai and Nera are in both L and C
  2. 2{Jai, Nera} = L ∩ C

AnswerL ∩ C

Part (eiv) · 1 mark

State what the Venn diagram shows about Taj.

  1. 1Taj is outside both circles, so Taj does not like lemon cake or chocolate cake

AnswerCorrect statement

Stuck on a step? Read the free lesson: Direct Proportion in Real Life

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Also searched as: 0580/32/F/M/21 · 0580_m21_qp_32 · 0580 m21 32 · question 8.
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