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Ratio Worksheet
Question 1
In a box of mixed nuts, the total number of almonds, cashews and peanuts is 1025.
The ratio of almonds to cashews is 1 : 3.
The ratio of cashews to peanuts is 5 : 7.
Calculate the number of cashews in the box.
.......................... cashews
(4 marks)
Question 2
In 2001, the club’s total income was £1000.
The club spent 60% of its total income on a hall.
It spent a further £250 on prizes.
Work out the ratio
The amount spent on the hall : the amount spent on prizes.
Give your answer in its simplest form.
................ : ................
(3 marks)
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Question 3
Azmol, Ryan and Kim each played a game.
Azmol’s score was four times Ryan’s score.
Kim’s score was half of Azmol’s score.
Write down the ratio of Azmol’s score to Ryan’s score to Kim’s score.
Input note: give your ratio in its simplest form.
................ : ................ : ................
(2 marks)
Question 4
The ratio of yellow sweets to purple sweets is 5: 4.
Alice eats 3 purple sweets and the ratio is now 5: 3.
Work out how many sweets there were at the beginning.
..........................
Question 5
Some biscuits contain only three ingredients: flour, butter and sugar.
• The ratio of flour to butter is 5 : 4.
• The ratio of butter to sugar is 2 : 1.
• The total weight of the flour, butter and sugar is 770 g.
Work out the weight of each of the ingredients.
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Flour .......................... g
Butter .......................... g
Sugar .......................... g
(4 marks)
Question 6
Given that 𝑥: 𝑦 = 1: 2 and 𝑦: 𝑧 = 3: 4, what is 𝑥: 𝑧?
................ : ................
Question 7
A bottle contains 750ml of mineral water. Rachel drinks 50% more than Ross, and these two
friends finish the bottle between them. How much does Rachel drink?
.......................... ml
Question 8
𝑥: 𝑦 = 3: 2
Write 𝑥 in terms of 𝑦.
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𝑥 = ..........................
(2 marks)
Question 9
Bag A contains 7𝑥 counters.
Bag B contains 2𝑥 counters.
Five counters are taken from bag A and put in bag B.
The ratio of counters in bag A to bag B is now 8: 3
Use algebra to work out the total number of counters in the bags.
..........................
(4 marks)
Question 10
When Ria and Flora compared the amounts of money in their savings accounts, they found
that their savings were in the ratio 5 : 3.
Then Ria took 160 euros from her savings to buy a tablet. The ratio of their savings then
changed to 3 : 5.
How many euros did Ria have before buying the tablet?
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.......................... euros
Question 11
I fill a glass with orange juice and lemonade in the ratio 1 : 4
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I drink 4 of the contents of the glass, then I fill the glass using orange juice.
Now what is the ratio of orange juice to lemonade in the glass?
Write the ratio in its simplest form.
................ : ................
Question 12
Boris has 65% more boys than girls in his class. What is the ratio of boys to girls?
[ ] 7: 33
[ ] 20: 13
[ ] 13: 6
[ ] 33: 20
[ ] 42: 17
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Question 13
Which of these is equivalent to an offer of:
"Buy one item, get another item at half price"
[ ] Three for the price of two.
[ ] Five for the price of four.
[ ] Two for the price of one.
[ ] Three for the price of one.
[ ] Four for the price of three.
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Answers
Question 1
375 cashews
Question 2
12: 5
Question 3
4: 1: 2
Question 4
27
Question 5
Flour 350 g and Butter 280 g and Sugar 140 g
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Question 6
3: 8
Question 7
450 ml
Question 8
𝑥=
3𝑦
2
Question 9
99
Question 10
250 euros
Question 11
2: 3
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Question 12
33: 20
Question 13
Four for the price of three.
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