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0580/32 Oct/Nov 2021, Question 6: Ordering Values

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 12 marks

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The question, in short

Order four given values from smallest to largest, round a decimal, find bounds for a measured height, write a population in standard form, and use a table of populations in standard form.

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

Part (a) · 2 marks

Arrange 0.5806, 11/19, 17/29 and 58% in ascending order, smallest first.

  1. 111/19 = 0.5789…, 17/29 = 0.5862…, 58% = 0.58
  2. 211/19 < 58% < 0.5806 < 17/29

Answer11/19 < 58% < 0.5806 < 17/29

Part (bi) · 1 mark

Round 0.004 973 to 3 decimal places.

  1. 10.004 973 = 0.005 (3 d.p.)

Answer0.005

Part (bii) · 1 mark

Round 0.004 973 to 2 significant figures.

  1. 10.004 973 = 0.0050 (2 s.f.)

Answer0.0050

Part (c) · 2 marks

Given h = 37.84 metres correct to 2 decimal places, complete the lower and upper bounds for h.

  1. 1Half of 0.01 is 0.005
  2. 237.84 − 0.005 = 37.835 and 37.84 + 0.005 = 37.845
  3. 337.835 ≤ h < 37.845

Answer37.835 ≤ h < 37.845

Part (d) · 1 mark

Write 201 000 000, given correct to 3 significant figures, in standard form.

  1. 1201 000 000 = 2.01 × 10⁸

Answer2.01 × 10⁸

Part (ei) · 1 mark

From the table of populations in standard form, identify the country with the smallest population.

  1. 1Smallest power of 10 is 10⁵: Maldives

AnswerMaldives

Part (eii) · 1 mark

From the table, identify the country whose population is closest to 5 million.

  1. 15 million = 5.00 × 10⁶: Eritrea 5.31 × 10⁶ is 0.31 million away, New Zealand 4.79 × 10⁶ is 0.21 million away
  2. 2New Zealand

AnswerNew Zealand

Part (eiii) · 1 mark

Find the difference between the populations of Brazil and France from the table.

  1. 12.12 × 10⁸ − 6.55 × 10⁷ = 212 000 000 − 65 500 000
  2. 2= 146 500 000

Answer146 500 000 or 1.465 × 10⁸

Part (eiv) · 2 marks

Find k, to 2 significant figures, where China's population equals k times Eritrea's population.

  1. 1k = (1.42 × 10⁹) ÷ (5.31 × 10⁶) = 267.4…
  2. 2k = 270 (2 s.f.)

Answer270

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Also searched as: 0580/32/O/N/21 · 0580_w21_qp_32 · 0580 w21 32 · question 6.
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