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0580/33 Oct/Nov 2024, Question 5: Currency Conversions

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 11 marks

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The question, in short

Use a pictogram with a key of 8 cars per symbol to compare colours, convert a price between dollars and euros, simplify a vehicle ratio, find a triangle side from its area, and convert metres to centimetres.

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

Part (ai) · 1 mark

Identify which colour of toy car has the greatest number of symbols in the pictogram.

  1. 1Blue has the most symbols (4)
  2. 2Blue

AnswerBlue

Part (aii) · 1 mark

Work out how many yellow toy cars are represented, using the key of 8 cars per symbol.

  1. 12 symbols and 1 quarter = 2 1/4 × 8
  2. 2= 18

Answer18

Part (aiii) · 1 mark

Find how many more red cars than white cars there are.

  1. 1Red = 3 × 8 = 24, White = 1/2 × 8 = 4
  2. 224 − 4 = 20

Answer20

Part (b) · 3 marks

Convert both prices to euros using 1 euro = $1.12 and calculate the difference, rounded to 2 decimal places.

  1. 1$12.40 = 12.40 ÷ 1.12 = 11.071… euros
  2. 211.50 − 11.071… = 0.428…
  3. 3= 0.43 euros

Answer0.43

Part (c) · 2 marks

Write the ratio 57 : 12 : 42 in its simplest form.

  1. 157 : 12 : 42
  2. 2÷ 3: 19 : 4 : 14

Answer19 : 4 : 14

Part (di) · 2 marks

Given the shelf area 0.3 m² and a right-angled triangle with one side 0.75 m, calculate y.

  1. 11/2 × y × 0.75 = 0.3
  2. 20.375y = 0.3
  3. 3y = 0.8

Answer0.8

Part (dii) · 1 mark

Convert 1.35 metres into centimetres.

  1. 11.35 × 100 = 135 cm

Answer135

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