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Edexcel IGCSE Math A Higher 1.7 Ratio and Proportion Questions

Use ratio-and-proportion questions to simplify ratios, share money, scale recipes and calculate unknown quantities from context.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Exam points

  • Simplify ratios from counts or tables and convert ratio parts into fractions of a total.
  • Share money or objects in two- and three-part ratios, then adjust the amounts.
  • Use scale factors in recipes, currencies or populations to calculate unknown quantities.

Covered syllabus points

1.7.A Ratio notation1.7.B Divide a quantity in a given ratio or ratios Share £4161.7.C The process of proportionality to evaluate unknown1.7.D Missing quantities in direct proportion1.7.E Word problems about ratio and proportion

Question 1

[Maximum number: 4]

Pau, Sam and Tia share £ 240 in the ratios 3: 4: 5
Sam and Tia each give £ 10 of their share to Pau.
Work out the ratios of the amounts of money that Pau, Sam and Tia now have.
Give your answer in its simplest form.

Question 2

[Maximum number: 2]

The table shows the populations of five countries.

Table for Question 2 — Edexcel IGCSE Math A Higher

Given that
population of Fiji=1k×population of Sweden\text{population of Fiji}=\frac{1}{k}\times\text{population of Sweden}

work out the value of k.
Give your answer correct to the nearest whole number.

k=…k=\ldots

Question 3

[Maximum number: 3]

Avril bakes a cake.
She uses flour, butter and sugar such that
weight of flour: weight of butter =6: 5
weight of butter: weight of sugar =3: 2
Avril uses 120 grams of sugar.
Work out the weight of flour Avril uses.
grams

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