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0580/33 May/Jun 2023, Question 2: Number Review: Mixed Practice

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 17 marks

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The question, in short

Work through shop pricing problems: totals, discounts, price rises, delivery charges, bottle purchases, egg packing, and comparing juice bottle value.

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

Part (a) · 3 marks

Find the combined price of 3.5 kg of bananas at $1.20 per kg and 2 bags of apples at $2.25 each.

  1. 1Bananas: 3.5 × 1.20 = 4.20
  2. 2Apples: 2 × 2.25 = 4.50
  3. 3Total = 4.20 + 4.50 = $8.70

Answer8.70

Part (b) · 1 mark

Find the 10% discount amount on shopping costing $16.80 before the reduction.

  1. 110% of 16.80 = 16.80 ÷ 10 = $1.68

Answer1.68

Part (c) · 2 marks

Find the new price of a cabbage after a 15% increase from $1.80.

  1. 1Increase = 15% of 1.80 = 0.27
  2. 2New price = 1.80 + 0.27 = $2.07

Answer2.07

Part (di) · 1 mark

Show that delivery for a home 10 km away costs $20, using $5 plus $1.50 per km.

  1. 1Cost = 5 + 10 × 1.50
  2. 2= 5 + 15 = $20

Answer5 + 10 × 1.5 = 20

Part (dii) · 2 marks

On the grid, plot the delivery cost line for distances from 0 to 10 km.

  1. 1At 0 km the cost is $5; at 10 km it is $20
  2. 2Plot (0, 5) and (10, 20) and draw a ruled line between them

AnswerRuled line from (0, 5) to (10, 20)

Part (e) · 3 marks

Find how many $1.55 water bottles can be bought with $20 and the change left over.

  1. 120 ÷ 1.55 = 12.9…, so 12 bottles
  2. 212 × 1.55 = 18.60
  3. 3Change = 20 − 18.60 = $1.40
  4. 412 bottles, change $1.40

Answer12 bottles, change $1.40

Part (f) · 2 marks

Find the least number of eggs that fills trays of 50 and boxes of 12 exactly, with nothing left over.

  1. 1Number of eggs must be a multiple of both 50 and 12
  2. 250 = 2 × 5 × 5, 12 = 2 × 2 × 3
  3. 3LCM = 2 × 2 × 3 × 5 × 5 = 300

Answer300

Part (g) · 3 marks

Compare cost per litre for 0.5 litres at $1.30, 1.2 litres at $3.20, and 2 litres at $5.25, and state which is best value.

  1. 1Cost per litre: A = 1.30 ÷ 0.5 = $2.60
  2. 2B = 3.20 ÷ 1.2 = $2.666…
  3. 3C = 5.25 ÷ 2 = $2.625
  4. 4A is cheapest per litre, so bottle A is the best value

AnswerA, with correct comparisons made of the 3 bottles with suitable accuracy shown

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Also searched as: 0580/33/M/J/23 · 0580_s23_qp_33 · 0580 s23 33 · question 2.
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