Ratio worksheet
10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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5 marks
Layla and Sam share 72 sweets in the ratio \(2 : 7\).
(a)Work out how many sweets Sam gets.
(b)Sam then gives 11 of his sweets to Layla.
Work out the new ratio of Layla's sweets to Sam's sweets. Give your answer in its simplest form.
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4 marks
Owen and Priya share some money in the ratio \(3 : 2\).
Owen gets £18.
(a)Calculate how much money Priya gets.
(b)Calculate how much money they shared altogether.
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5 marks
Jamal, Katie and Liam share £105 in the ratio \(5 : 7 : 9\).
(a)Work out how much money Liam gets.
(b)Work out how much more money Liam gets than Jamal.
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4 marks
A triangle has angles in the ratio \(9 : 16 : 20\).
(a)Work out the size of each of the three angles.
(b)Write down whether the triangle is acute-angled, right-angled or obtuse-angled.
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3 marks
Jack and Nadia share some money in the ratio \(1 : 7\).
Nadia gets £78 more than Jack.
Calculate how much money they share altogether.
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4 marks
A bag holds blue chips and yellow chips.
The ratio of blue chips to yellow chips is \(7 : 5\).
\(20\) more yellow chips are put into the bag.
The ratio of blue chips to yellow chips is now \(7 : 9\).
(a)Work out how many blue chips are in the bag.
(b)Work out how many chips are in the bag altogether at the end.
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4 marks
Concrete is made by mixing cement and gravel in the ratio \(2 : 3\).
Joel has 38 kg of cement and 75 kg of gravel.
Find the greatest amount of concrete he can make.
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6 marks
A photograph is a rectangle with a perimeter of 128 cm.
The ratio of its length to its width is \(9 : 7\).
(a)Find the width of the photograph.
(b)Find the area of the photograph.
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4 marks
Anya spends 2 hours 49 minutes revising.
She divides that time between history and geography in the ratio \(6 : 7\).
Calculate how long she spends on geography. Give your answer in minutes.
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4 marks
A walking group is given a donation.
£520 is shared between the leaders and the walkers in the ratio \(6 : 7\).
There are 5 leaders and 5 walkers.
The leaders share their part of the money equally between them, and the walkers share their part equally between them.
Calculate how much money each walker gets.
Answers
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(a) \(56\)
(b) \(3 : 5\) -
(a) \(\text{£}12\)
(b) \(\text{£}30\) -
(a) \(\text{£}45\)
(b) \(\text{£}20\) -
(a) \(36^\circ\), \(64^\circ\) and \(80^\circ\)
(b) acute-angled - \(\text{£}104\)
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(a) \(35\ \text{chips}\)
(b) \(80\ \text{chips}\) - \(95\ \text{kg}\)
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(a) \(28\ \text{cm}\)
(b) \(1008\ \text{cm}^2\) - \(91\ \text{minutes}\)
- \(\text{£}56\)