O LevelMathsCambridgeTopic QuestionsNumberWorking with Ratios

Working with Ratios (Cambridge O Level Maths)

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1
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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]

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2
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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.
 

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

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3
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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

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

Show that Adele receives $306.

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4b
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Calculate the amount that Barbara and Collette each receives.

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

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

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52 marks

Two numbersspace x space and y are such that

  • x space colon space y space equals space 5 space colon space 11

and

  • x space plus y equals space 112.

Find x and y.

x = .................................................
y = .................................................

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1
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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.
 

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

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2
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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.

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3
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Divide $24 in the ratio 7 : 5.
 

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

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4
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Kristian and Stephanie share some money in the ratio 3 : 2.
Kristian receives $72.

Work out how much Stephanie receives.

 

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

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1
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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]

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2
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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.


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

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3
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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 $ ...................................................

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