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0580/43 Oct/Nov 2023, Question 2: Expressing One Quantity as a Percentage

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 11 marks

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The question, in short

Using a table of bird frequencies and pie chart angles, find a percentage, complete angles and the pie chart, calculate a percentage increase, and work with standard form and density.

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

Part (a) · 2 marks

Find the percentage of all the birds that are Starlings, using the frequencies in the table.

  1. 1Total = 8 + 6 + 11 + 5 = 30 birds
  2. 211/30 × 100 = 36.66… ≈ 36.7%

Answer36.7 or 36.66 to 36.67 or 36 2/3

Part (bi) · 2 marks

Complete the pie chart sector angle column for Jay, Starling and Robin in the table.

  1. 1360 ÷ 30 = 12° per bird (check: 8 × 12 = 96°)
  2. 2Jay = 6 × 12 = 72°, Starling = 11 × 12 = 132°, Robin = 5 × 12 = 60°

Answer72, 132 and 60

Part (bii) · 2 marks

Complete the pie chart, which already shows the Goldfinch sector, using the table data.

  1. 1Goldfinch: 96° for 8 birds, so each bird = 96 ÷ 8 = 12°.
  2. 2Jay = 6 × 12 = 72°, Starling = 11 × 12 = 132°, Robin = 5 × 12 = 60°.
  3. 3Draw these sectors next to the Goldfinch sector and label each: correct pie chart drawn

AnswerCorrect pie chart drawn

Part (c) · 2 marks

Calculate Tuesday's Goldfinch count after Monday's 8 increases by 262.5%.

  1. 1Multiplier = 1 + 262.5/100 = 3.625
  2. 28 × 3.625 = 29 Goldfinches

Answer29

Part (di) · 1 mark

Write 1500 million in standard form.

  1. 11500 million = 1 500 000 000 = 1.5 × 10⁹

Answer1.5 × 10⁹

Part (dii) · 2 marks

Work out the average number of Red-Billed Quelea per square kilometre given 1500 million birds over 21.2 million square kilometres.

  1. 11500 million ÷ 21.2 million = 1500 ÷ 21.2
  2. 2= 70.75… ≈ 70.8 birds per km²

Answer70.8 or 70.75…

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Also searched as: 0580/43/O/N/23 · 0580_w23_qp_43 · 0580 w23 43 · question 2.
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