Proportion worksheet
9 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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4 marks
Here is a list of the ingredients needed to make 6 pancakes.
plain flour 156 g milk 48 ml sugar 36 g (a)Callum wants to make 16 pancakes.
Calculate how much milk he needs.
(b)On another day Callum has 624 g of plain flour and plenty of the other ingredients.
Find the greatest number of pancakes he can make.
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4 marks
Priya buys 6 bottles of water. She pays £3.30 altogether.
All the bottles of water cost the same.
(a)Find the cost of 4 bottles of water.
(b)Work out how many bottles of water can be bought for £4.95.
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3 marks
A machine prints labels at a steady rate. The table should show how many labels it prints.
One of the four values in the second column is wrong.Time (min) Labels 4 56 6 84 9 126 16 232 (a)Which row of the table is wrong?
You must show your working.
(b)Find the value that should be there.
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3 marks
A school disco must have at least one staff member for every 19 pupils.
(a)99 pupils want to take part.
Calculate the smallest number of staff members needed.
(b)On a different day only 3 staff members are available.
Calculate the greatest number of pupils who can take part.
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3 marks
It takes 10 machines 32 minutes to fill 5000 bottles.
Calculate how long it would take 8 machines to fill the same 5000 bottles.
Assume that all the machines work at the same rate.
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4 marks
The mass of a steel bar is directly proportional to its length.
Write \(x\) for the length in metres and \(y\) for the mass in kilograms.
When \(x = 2\), \(y = 18\).
(a)Work out a formula for \(y\) in terms of \(x\).
(b)Find the value of \(y\) when \(x = 19\).
(c)Find the value of \(x\) when \(y = 162\).
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5 marks
A field kitchen has enough drinking water to last 16 walkers for 34 days.
Every walker uses the same amount of drinking water each day.
The drinking water can be counted in walker days: one walker using it for one day.
(a)Calculate how many walker days of drinking water are left after 13 days.
(b)At that point 8 more walkers arrive.
Calculate how many more days the drinking water will last.
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5 marks
9 glassblowers make 126 vases in 2 days.
Every glassblower makes vases at the same steady rate.
(a)Work out how many vases one glassblower makes in one day.
(b)Work out how many vases 3 glassblowers would make in 8 days.
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4 marks
Here is a list of the ingredients needed to make 12 biscuits.
flour 216 g butter 144 g caster sugar 60 g (a)Marcus wants to make 20 biscuits.
Work out how much butter he needs.
(b)On another day Marcus has 432 g of flour and plenty of the other ingredients.
Calculate the greatest number of biscuits he can make.
Answers
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(a) \(128\ \text{ml}\)
(b) \(24\) -
(a) \(\text{£}2.20\)
(b) \(9\) -
(a) The row for \(16\), which gives \(232\)
(b) \(224\ \text{labels}\) -
(a) \(6\ \text{staff members}\)
(b) \(57\ \text{pupils}\) - \(40\ \text{minutes}\)
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(a) \(y = 9x\)
(b) \(171\)
(c) \(18\) -
(a) \(336\ \text{walker days}\)
(b) \(14\ \text{days}\) -
(a) \(7\ \text{vases}\)
(b) \(168\ \text{vases}\) -
(a) \(240\ \text{g}\)
(b) \(24\)