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0580/31 Oct/Nov 2021, Question 2: Pie Charts

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 12 marks

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The question, in short

Theatre statistics: write a number in figures, read a pie chart, find a share of 320 shows, use a 7 : 5 ratio, find an unknown ticket price and a percentage decrease.

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

Part (a) · 1 mark

Turn the yearly ticket total, given in words, into figures.

  1. 1Four hundred and ninety-six thousand = 496 000
  2. 2and fifty: 496 000 + 50 = 496 050

Answer496 050

Part (bi) · 2 marks

Which type of show has the biggest sector, and its angle.

  1. 1The largest sector is Musicals
  2. 2Measure its angle with a protractor: 135°

AnswerMusicals, 135

Part (bii) · 1 mark

Percentage of shows that are plays (a right-angle sector).

  1. 1Plays sector is a right angle = 90°
  2. 290/360 × 100 = 25%

Answer25

Part (biii) · 2 marks

Number of operas out of 320 from a 27° sector.

  1. 1Operas sector = 27°
  2. 227/360 × 320
  3. 3= 24

Answer24

Part (biv) · 2 marks

Popular concerts when classical : popular is 7 : 5 and there are 56 classical.

  1. 1One part = 56 ÷ 7 = 8
  2. 2Popular = 5 × 8 = 40

Answer40

Part (c) · 2 marks

Find the adult price from a $159.50 total for 2 adults, 3 children and 1 senior.

  1. 13 × 15.50 + 35 = 81.50
  2. 2159.50 − 81.50 = 78
  3. 3Adult ticket = 78 ÷ 2 = $39

Answer39

Part (d) · 2 marks

Percentage fall in price from $65 to $55.90.

  1. 1Reduction = 65 − 55.90 = 9.10
  2. 29.10/65 × 100
  3. 3= 14%

Answer14

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Also searched as: 0580/31/O/N/21 · 0580_w21_qp_31 · 0580 w21 31 · question 2.
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