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0580/32 Oct/Nov 2023, Question 3: Multiplication and Division of Fractions

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

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The question, in short

Answer eight short questions covering place value, multiples, percentages, powers, fractions, factorising, rearranging a formula and an index equation.

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

Part (a) · 1 mark

Write fourteen thousand and ninety-seven using digits.

  1. 114 000 + 97 = 14097

Answer14097

Part (b) · 1 mark

State a number that is a multiple of both 17 and 5.

  1. 117 × 5 = 85, so 85 (or any multiple of 85)

AnswerAny correct multiple i.e. 85k

Part (c) · 1 mark

Convert 0.25 into a percentage.

  1. 10.25 × 100 = 25%

Answer25

Part (di) · 1 mark

Work out the value of 7⁵.

  1. 17⁵ = 7 × 7 × 7 × 7 × 7 = 16807

Answer16807

Part (dii) · 1 mark

Work out the value of 8⁰.

  1. 1Any non-zero number to the power 0 is 1: 8⁰ = 1

Answer1

Part (e) · 2 marks

Ranjit sells 5/11 of his plants, which is 190 plants; find the total number he bought.

  1. 15/11 of the plants = 190, so 1/11 = 190 ÷ 5 = 38
  2. 2Plants bought = 38 × 11 = 418

Answer418

Part (f) · 2 marks

Factorise 15x³y − 3x fully.

  1. 1HCF of 15x³y and 3x is 3x
  2. 2= 3x(5x²y − 1)

Answer3x(5x²y − 1)

Part (g) · 2 marks

Rearrange V = 3n + t to make n the subject.

  1. 1V − t = 3n
  2. 2n = (V − t)/3

Answer(V − t)/3

Part (h) · 1 mark

Given 7¹⁵ ÷ 7ˣ = 7⁹, find x.

  1. 115 − x = 9
  2. 2x = 6

Answer6

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Also searched as: 0580/32/O/N/23 · 0580_w23_qp_32 · 0580 w23 32 · question 3.
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