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CAIE IGCSE Mathematics Extended E1.11 Ratio and Proportion Questions

Practise simplifying ratios, sharing totals, linking two ratios through a common part and converting comparisons to forms such as 1:n.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Extended

Exam points

  • convert quantities to matching units before simplifying their ratio with a common factor
  • divide a total by the sum of ratio parts and multiply by each required share
  • scale linked ratios to a common person's part before combining them into one ratio

Covered syllabus points

E1.11.1 Understand and use ratio and proportion to: • give ratios in their

Question 1

[Maximum number: 3]

Jo and Mo share $ 26.
Jo receives $ 5 more than Mo.
Find the ratio Jo's money: Mo's money.
Give your answer in its simplest form.

Question 2

[Maximum number: 3]

Three taxi drivers travel a total of 8190 km in the ratio 5:2:7.
Calculate the distance each driver travels.

Driver 1 km
Driver 2 km
Driver 3 km

Question 3

[Maximum number: 2]

Joseph spends 524\frac{5}{24} of one week's earnings to buy a jacket.
The cost of the jacket is $56.50.
Calculate the amount Joseph earns in a week.
$

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