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0580/32 Feb/Mar 2023, Question 3: Unit Conversions

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 11 marks

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The question, in short

Recipe ratios and scaling for biscuits, plus bread loaves from a 16 kg flour sack and a percentage decrease from 16 kg to 15 kg.

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

Part (ai) · 2 marks

Simplify the ratio flour : butter : sugar for a 20-biscuit recipe using 150 g, 125 g and 50 g.

  1. 1flour : butter : sugar = 150 : 125 : 50
  2. 2Divide by 25: 6 : 5 : 2

Answer6 : 5 : 2

Part (aii) · 3 marks

Scale the 20-biscuit recipe quantities to find flour, butter and sugar needed for 50 biscuits.

  1. 1Multiplier = 50 ÷ 20 = 2.5
  2. 2Flour = 150 × 2.5 = 375 g
  3. 3Butter = 125 × 2.5 = 312.5 g
  4. 4Sugar = 50 × 2.5 = 125 g

Answer375, 312.5, 125

Part (bi) · 4 marks

With 600 g flour per loaf and a 16 kg sack, find the maximum loaves and leftover flour in grams.

  1. 116 kg = 16000 g
  2. 216000 ÷ 600 = 26.66…, so a maximum of 26 loaves
  3. 3Flour used = 26 × 600 = 15600 g
  4. 4Left over = 16000 − 15600 = 400 g

Answer26, 400

Part (bii) · 2 marks

Find the percentage decrease when the sack amount falls from 16 kg to 15 kg.

  1. 1Decrease = 16 − 15 = 1 kg
  2. 2Percentage decrease = 1/16 × 100 = 6.25%

Answer6.25

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