Ratio: Fluency and Exam Drill - Worksheets, Questions and Revision

20 original exam-style questions - 6 pages of questions with a full mark scheme - free printable PDF.

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GCSE · EDEXCEL

3.5D Ratio: Fluency and Exam Drill

EDEXCEL 1MA1 · Calculator allowed · about 80 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write the ratio 18 : 24 in its simplest form.
(Total for Question 1 is 1 mark)
2
Write the ratio 6 : 15 in the form 1 : n.
(Total for Question 2 is 2 marks)
3
Amira and Ben share 96 pounds in the ratio 5 : 3. Work out how much each person receives.
(Total for Question 3 is 3 marks)
4
The exchange rate is 1 pound : 1.28 dollars. Nadia changes 250 pounds into dollars before a trip to New York. Work out how many dollars she receives.
(Total for Question 4 is 2 marks)
5
A community garden has 24 tulip bulbs and 18 daffodil bulbs. Write the fraction of the bulbs that are tulip bulbs. Give your answer in its simplest form.
(Total for Question 5 is 2 marks)
6
A prize fund of 180 pounds is split between three charities in the ratio 2 : 3 : 4. Calculate the amount each charity receives.
(Total for Question 6 is 3 marks)
7
On a school minibus, the ratio of adults to children is 2 : 5. There are 15 children on the minibus. Work out the total number of people on the minibus.
(Total for Question 7 is 3 marks)
8
A pancake recipe for 4 people uses 200 g of flour and 300 ml of milk. Freya wants to make pancakes for 10 people, using the same ratio of ingredients. Work out how much flour and how much milk she needs.
(Total for Question 8 is 3 marks)
9
A map has a scale of 1 : 25000. The distance between two villages on the map is 8.4 cm. Work out the real-life distance between the villages, giving your answer in kilometres.
(Total for Question 9 is 3 marks)
10
The cost of ribbon is directly proportional to its length. 3 metres of ribbon costs 5.40 pounds. Work out the cost of 8 metres of the same ribbon.
(Total for Question 10 is 3 marks)
11
An alloy is made from copper and tin in the ratio 7 : 3 by mass. A sample of the alloy has a mass of 450 g. Work out the mass of copper in the sample.
(Total for Question 11 is 3 marks)
12
A 750 ml bottle of squash costs 2.40 pounds. A 1.2 litre bottle of the same squash costs 3.60 pounds. By comparing the price per 100 ml, determine which bottle offers better value for money.
(Total for Question 12 is 4 marks)
13
In a choir, the ratio of sopranos to altos is 4 : 5. The ratio of altos to tenors is 3 : 2. Find the ratio of sopranos : altos : tenors in its simplest form.
(Total for Question 13 is 3 marks)
14
A small business shares its profit between two partners, Tom and Sara, in the ratio 3 : 4. This year Tom receives 2100 pounds. Next year the total profit is expected to increase by 20%, but the partners will keep the same ratio. Work out how much Sara will receive next year.
(Total for Question 14 is 4 marks)
15
A gardener mixes fertiliser and water in the ratio 1 : 24 to make feed for tomato plants. He has 6 litres of fertiliser.
(a)Work out the maximum volume of feed he can make using all 6 litres of fertiliser.(2)
(b)He decides to use only 250 ml of fertiliser at a time, mixed with water in the same ratio. Work out how many litres of water are needed for one 250 ml application.(2)
(Total for Question 15 is 4 marks)
16
The ratio (3x + 1) : (2x + 5) is equivalent to 2 : 3. Find the value of x.
(Total for Question 16 is 4 marks)
17
Ten years ago, the ratio of Priya's age to her mother's age was 1 : 4. Priya is now 25 years old. Find her mother's current age.
(Total for Question 17 is 4 marks)
18
Two similar cylinders have radii in the ratio 2 : 5.
(a)State the ratio of their surface areas.(1)
(b)State the ratio of their volumes.(1)
(Total for Question 18 is 2 marks)
19
Paint A is made from blue and white paint in the ratio 2 : 3. Paint B is made from blue and white paint in the ratio 5 : 1. 400 ml of Paint A is mixed with 300 ml of Paint B to make Paint C. Find the ratio of blue to white paint in Paint C, giving your answer in its simplest form.
(Total for Question 19 is 5 marks)
20
A company blends two teas, Assam and Ceylon, to make a house blend. Assam costs 8 pounds per kg and Ceylon costs 14 pounds per kg. The company wants to make a blend that costs exactly 10 pounds per kg by mixing Assam and Ceylon in the ratio a : c.
(a)Show that a : c = 2 : 1.(3)
(b)The company has 24 kg of Assam and 20 kg of Ceylon in stock. Using the ratio from part (a), work out the maximum mass of house blend that can be made, and state how much Ceylon, if any, will be left over.(3)
(Total for Question 20 is 6 marks)
Mark scheme · 3.5D Ratio: Fluency and Exam Drill

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20