IGCSEMaths: ExtendedCIEExam Questions1. Number1.9 Working with Ratios

Syllabus Edition

First teaching 2021

Last exams 2024

|

Working with Ratios (CIE IGCSE Maths: Extended)

Exam Questions

1 hour22 questions
Easy
Medium
Hard
1
Sme Calculator2 marks

Divide $24 in the ratio 7 : 5.
 

$ ................... , $ ...................

How did you do?

Did this page help you?

2
Sme Calculator1 mark

The fares for a train journey are shown in the table below.

From London to Marseille Standard fare Premier fare
Adult $84 $140
Child $60 $96

For the standard fare, write the ratio    adult fare : child fare    in its simplest form.
 

..................... : .....................

How did you do?

Did this page help you?

3
Sme Calculator2 marks

A plane has 14 First Class seats, 70 Premium seats and 168 Economy seats.

Find the ratio   First Class seats : Premium seats : Economy seats.
Give your answer in its simplest form.
 

............... : ............... : ...............

How did you do?

Did this page help you?

4
Sme Calculator3 marks

For a morning flight, the costs of tickets are in the ratio

First Class : Premium : Economy = 14 : 6 : 5.

The cost of a Premium ticket is $114.

Calculate the cost of a First Class ticket and the cost of an Economy ticket.

 

  First Class $ ................................................

Economy $ .................................................

How did you do?

Did this page help you?

5
Sme Calculator2 marks

Kristian and Stephanie share some money in the ratio 3 : 2.
Kristian receives $72.

Work out how much Stephanie receives.

 

$ ...............................................

How did you do?

Did this page help you?

1
Sme Calculator2 marks

The table shows the surface area of some countries and their estimated population in 2017.

Country Surface area (km2) Estimated population in 2017
Brunei 5.77 × 103 433 100
China 9.60 × 106 1 388 000 000
France 6.41 × 105 67 000 000
Maldives 3.00 × 102 374 600

The ratio       surface area of the Maldives : surface area of China can be written in the form   1 : n.

Find the value of n.


n space equals ................................................

How did you do?

Did this page help you?

2a
Sme Calculator1 mark

Mohsin has 600 pear trees and 720 apple trees on his farm.

Write the ratio pear trees : apple trees in its simplest form.

 

........................ : .......................

How did you do?

2b
Sme Calculator2 marks

One week, the total mass of pears picked was 18 540 kg.
For this week, the ratio mass of apples : mass of pears = 13 : 9.

Find the mass of apples picked that week.

 

............................................... kg

How did you do?

Did this page help you?

3
Sme Calculator3 marks

In a cycling club, the number of members are in the ratio males : females = 8 : 3.
The club has 342 females.

i)

Find the total number of members.

[2]

ii)

Find the percentage of the total number of members that are female.

................................................ % [1]

How did you do?

Did this page help you?

4
Sme Calculator3 marks

One day, the newspaper had 60 pages of news and advertisements.
The ratio  number of pages of news : number of pages of advertisements =  5 colon 7.

i)
Calculate the number of pages of advertisements. 
 
[2]
ii)
Write the number of pages of advertisements as a percentage of the number of pages of news. 
 
........................................... % [1]

How did you do?

Did this page help you?

5
Sme Calculator2 marks

Amol and Priya deliver 645 parcels in the ratio Amol : Priya = 11 : 4.

Calculate the number of parcels Amol delivers.

How did you do?

Did this page help you?

6
Sme Calculator2 marks

Marianne sells photos.
The selling price of each photo is $6.

The selling price for each photo is made up of two parts, printing cost and profit.
For each photo, the ratio       printing cost : profit = 5 : 3.
 

Calculate the profit she makes on each photo.
 

$ ...............................................

How did you do?

Did this page help you?

7
Sme Calculator3 marks

A school has 240 students.
The ratio   girls : boys = 25 : 23.

i)
Show that the number of boys is 115.
 
 

[1]

ii)
One day, there are 15 girls absent and 15 boys absent.
 
Find the ratio   girls : boys in school on this day.
Give your answer in its simplest form.
 
 

..................... : ..................... [2]

How did you do?

Did this page help you?

8a
Sme Calculator1 mark

Adele, Barbara and Collette share $680 in the ratio 9 : 7 : 4.

Show that Adele receives $306.

How did you do?

8b
Sme Calculator3 marks

Calculate the amount that Barbara and Collette each receives.

 Barbara $ ...............................................

Collette $ ...............................................

How did you do?

Did this page help you?

9
Sme Calculator5 marks

Here is a list of ingredients to make 20 biscuits.

cie-igcse-2018-may-jun-2-p4-q1a

i)
Find the mass of butter needed to make 35 of these biscuits.


............................................. g [2]

ii)
Michel has 2 kg of each ingredient.

Work out the greatest number of these biscuits that he can make.


[3]

How did you do?

Did this page help you?

10
Sme Calculator2 marks

The Muller family are on holiday in New Zealand.

The family visit two waterfalls, the Humboldt Falls and the Bridal Veil Falls.
The ratio of the heights Humboldt Falls : Bridal Veil Falls = 5 : 1.
The Humboldt Falls are 220 m higher than the Bridal Veil Falls.

Calculate the height of the Humboldt Falls. 

.............................................m

How did you do?

Did this page help you?

1
Sme Calculator2 marks

Alex and Chris share sweets in the ratio    Alex : Chris = 7 : 3.
Alex receives 20 more sweets than Chris.

Work out the number of sweets Chris receives.

How did you do?

Did this page help you?

2
Sme Calculator4 marks

Arjun and Gretal each pay rent.

In 2018, the ratio of the amount each paid in rent was Arjun : Gretal = 5 : 7.
In 2019, the ratio of the amount each paid in rent was Arjun : Gretal = 9 : 13.

Arjun paid the same amount of rent in both 2018 and 2019.
Gretal paid $290 more rent in 2019 than she did in 2018.

Work out the amount Arjun paid in rent in 2019.


$ ................................................

How did you do?

Did this page help you?

3
Sme Calculator5 marks

Some visitors to a campsite are in the ratio

men space colon space women equals 5 space colon space 4 and women space colon thin space children equals 3 space colon space 7.

i)

Calculate the ratio space men space colon thin space women space colon thin space children space in its simplest form.
 

................... : ................... : ................... [2]

ii)

There are 224 children at the campsite.

Calculate the total number of men and women.
 

[3]

How did you do?

Did this page help you?

4
Sme Calculator3 marks

One day Dhanu plays with his model railway from 06 50 to 11 15.
He then rides his bicycle for 3 hours.

Find the ratio t i m e space p l a y i n g space w i t h space m o d e l space r a i l w a y space colon space t i m e space r i d i n g space b i c y c l e.
Give your answer in its simplest form.


......................... : .........................

How did you do?

Did this page help you?

5
Sme Calculator3 marks

Ali and Mo share a sum of money in the ratio Ali : Mo = 9 : 7.
Ali receives $600 more than Mo.

Calculate how much each receives.

Ali $ ...................................................

Mo $ ...................................................

How did you do?

Did this page help you?

6
Sme Calculator5 marks

The fares for a train journey are shown in the table below.

From London to Marseille Standard fare Premier fare
Adult $84 $140
Child $60 $96

For one journey from London to Marseille, the ratio

number of adults : number of children = 11 : 2.
 

There were 220 adults in total on this journey.
All of the children and 70% of the adults paid the standard fare. 
The remaining adults paid the premier fare.

Calculate the total of the fares paid by the adults and the children.
 

$ .............................................

How did you do?

Did this page help you?

7
Sme Calculator6 marks

Some people who work for a company are in the following age groups.

Group A Group B Group C
Under 30 years 30 to 50 years Over 50 years


The ratio of the number in group A to the number in group B is  7 : 10.
The ratio of the number in group B to the number in group C is  4 : 3.

i)
Find the ratio of the number in group A to the number in group C.
Give your answer in its simplest form.


....................... : ....................... [3]

ii)
There are 45 people in group C.

Find the total number of people who work for the company.


[3]

How did you do?

Did this page help you?