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0580/33 May/Jun 2021, Question 5: Ordering Values

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 14 marks

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The question, in short

Answer a set of arithmetic questions: evaluate numerical expressions, insert brackets to make equations true, compare fractions, decimals and percentages, and work with prime factors, LCM and HCF.

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

Part (ai) · 1 mark

Find the square root of 320.41.

  1. 1√320.41 = 17.9

Answer17.9

Part (aii) · 1 mark

Evaluate 6.4² + 1.2³.

  1. 16.4² + 1.2³ = 40.96 + 1.728 = 42.688

Answer42.688

Part (aiii) · 1 mark

Find the reciprocal of 2.

  1. 1Reciprocal of 2 = 1/2

Answer1/2 or 0.5

Part (aiv) · 1 mark

Evaluate 9⁰.

  1. 1Any non-zero number to the power 0 is 1: 9⁰ = 1

Answer1

Part (av) · 1 mark

Find 3/7 of $42.

  1. 142 ÷ 7 × 3 = $18

Answer18

Part (avi) · 1 mark

Find 12% of $62.

  1. 10.12 × 62 = $7.44

Answer7.44

Part (bi) · 1 mark

Insert one pair of brackets so 20 − 5 ÷ 5 − 3 = 0.

  1. 1(20 − 5) ÷ 5 − 3 = 15 ÷ 5 − 3 = 3 − 3 = 0

Answer(20 − 5) ÷ 5 − 3 = 0

Part (bii) · 1 mark

Insert one pair of brackets so 20 − 5 ÷ 5 − 3 = 17.5.

  1. 120 − 5 ÷ (5 − 3) = 20 − 5 ÷ 2 = 20 − 2.5 = 17.5

Answer20 − 5 ÷ (5 − 3) = 17.5

Part (c) · 2 marks

Choose <, > or = for each: 7/10 and 0.07, 1/5 and 20%, 3/8 and 0.38.

  1. 17/10 = 0.7, so 7/10 > 0.07
  2. 21/5 = 0.2 = 20%, so 1/5 = 20%
  3. 33/8 = 0.375, so 3/8 < 0.38

Answer7/10 > 0.07 1/5 = 20% 3/8 < 0.38

Part (di) · 2 marks

Write 90 as a product of its prime factors.

  1. 190 = 2 × 45 = 2 × 3 × 15 = 2 × 3 × 3 × 5
  2. 2= 2 × 3² × 5

Answer2 × 3 × 3 × 5 or 2 × 3² × 5

Part (dii) · 1 mark

Find the LCM of 35 and 90.

  1. 135 = 5 × 7, 90 = 2 × 3² × 5
  2. 2LCM = 2 × 3² × 5 × 7 = 630

Answer630

Part (diii) · 1 mark

Find the HCF of 35 and 90.

  1. 1The only common prime factor is 5
  2. 2HCF = 5

Answer5

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Also searched as: 0580/33/M/J/21 · 0580_s21_qp_33 · 0580 s21 33 · question 5.
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