Working with Ratios (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 .

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

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

Find the total number of members.

[2]

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

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

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

Calculate the number of parcels Amol delivers.

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.
 

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

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

[1]

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

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

Show that Adele receives $306.

Calculate the amount that Barbara and Collette each receives.

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

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

Here is a list of ingredients to make 20 biscuits.

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

[3]

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

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.

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.

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

Some visitors to a campsite are in the ratio

and .

i)

Calculate the ratio  in its simplest form.
 

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

ii)

There are 224 children at the campsite.

Calculate the total number of men and women.
 

[3]

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 .
Give your answer in its simplest form.

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

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

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.

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

[3]