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

Question 1

[Maximum number: 2]

At a football club, season tickets are sold for seated areas and for standing areas.
The cost of season tickets are in the ratio seated : standing = 5 : 3.
The cost of a season ticket for the standing area is $45.
Find the cost of a season ticket for the seated area.

Question 2

[Maximum number: 3]

Dhanu has a model railway.

Dhanu plays with his model railway from 0650 to 1115 .

He then rides his bicycle for 3 hours.

Find the ratio time playing with model railway : time riding bicycle.
Give your answer in its simplest form.

Question 3

[Maximum number: 3]

Question (a)

(a)
Table for Question (a) — CAIE IGCSE Mathematics Extended

The table shows information about some of the planets in the solar system.

PlanetDiameter (km)Average distance from the Sun (km)
Earth128001.496×1081.496\times10^8
Mars68002.279×1082.279\times10^8
Jupiter1430007.786×1087.786\times10^8
Saturn1205001.434×1091.434\times10^9
Neptune495004.495×1094.495\times10^9
[ 3 ]

Question (i)

(i)

The ratio diameter of Neptune: diameter of Saturn can be written in the form 1: n.

Find the value of n.

n=

[ 1 ]

Question (ii)

(ii)

Distances within the solar system are also measured in astronomical units (AU). The average distance of Jupiter from the Sun is 5.20 AU.

Calculate the average distance of Mars from the Sun in astronomical units.

[ 2 ]
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