Working with Ratios (Cambridge (CIE) IGCSE Maths: Extended)

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

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

Find the value of .

................................................

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

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

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

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

Amol and Priya deliver 645 parcels in the ratio Amol : Priya = 11 : 4.
Calculate the number of parcels Amol delivers.

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]

Here is a list of ingredients to make 20 biscuits.

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]

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.

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

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

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.  

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

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

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]