Ratio and Proportion Depth - Worksheets, Questions and Revision

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

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11+ · Number - Ratio and Proportion

EP.M40 Ratio and Proportion Depth

GL ASSESSMENT EP.M40 · Calculators not allowed · about 65 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Simplify the ratio 42 : 56 to its simplest form.
(Total for Question 1 is 1 mark)
2
Which of these is the simplified form of the ratio 28 : 35?
  • A) 4 : 5
  • B) 7 : 8
  • C) 4 : 7
  • D) 2 : 3
(Total for Question 2 is 1 mark)
3
A bakery tray holds 14 blueberry muffins and 21 chocolate muffins. Write the ratio of blueberry muffins to chocolate muffins in its simplest form.
(Total for Question 3 is 1 mark)
4
Which of these ratios is equivalent to 5 : 6?
  • A) 10 : 11
  • B) 15 : 18
  • C) 20 : 25
  • D) 25 : 36
(Total for Question 4 is 1 mark)
5
Complete the missing number: 7 : 9 = ___ : 63
(Total for Question 5 is 1 mark)
6
On a school trip, the ratio of teachers to pupils must be at least 1 : 8. If 6 teachers go on the trip, what is the maximum number of pupils allowed?
  • A) 14
  • B) 42
  • C) 48
  • D) 56
(Total for Question 6 is 1 mark)
7
A publisher prints fiction and non-fiction books in the ratio 5 : 3. Calculate how many of each type of book are printed if the total print run is 96 books.
(Total for Question 7 is 2 marks)
8
A youth club has 63 members. The ratio of members aged under 13 to members aged 13 and over is 2 : 5. Calculate the number of members aged 13 and over.
(Total for Question 8 is 2 marks)
9
The ratio of red counters to green counters in a jar is 3 : 5. There are 40 counters in the jar altogether. How many green counters are there?
  • A) 15
  • B) 20
  • C) 24
  • D) 25
(Total for Question 9 is 1 mark)
10
9 identical rulers cost £5.85 in total. Calculate the cost of 4 of these rulers.
(Total for Question 10 is 2 marks)
11
A decorator mixes blue paint and white paint in the ratio 3 : 8 to make a particular shade of grey. Calculate how much white paint is needed for 45 ml of blue paint.
(Total for Question 11 is 2 marks)
12
£1 is worth $1.25. Calculate how many dollars a tourist receives for £68.
(Total for Question 12 is 2 marks)
13
A cake recipe for 8 people uses 200 g of butter, 320 g of sugar, 4 eggs and 360 g of flour. Rewrite the recipe for 12 people.
(a)Calculate the mass of butter needed for 12 people.(1)
(b)Calculate the mass of sugar needed for 12 people.(1)
(c)Calculate the number of eggs needed for 12 people.(1)
(d)Calculate the mass of flour needed for 12 people.(1)
(Total for Question 13 is 4 marks)
14
Cereal A costs £2.40 for a 750 g box. Cereal B costs £1.75 for a 500 g box. Work out which cereal offers better value for money, showing your working.
(Total for Question 14 is 3 marks)
15
A map has a scale of 1 : 20 000. Two campsites are 8.5 cm apart on the map. Calculate the real distance between the campsites, giving your answer in kilometres.
(Total for Question 15 is 3 marks)
16
A bag of mixed nuts contains almonds, cashews and peanuts in the ratio 2 : 3 : 5. Calculate what fraction of the nuts in the bag are peanuts.
(Total for Question 16 is 2 marks)
17
A ribbon of length 84 cm is cut into three pieces in the ratio 2 : 3 : 7. Calculate the length of the longest piece.
(Total for Question 17 is 2 marks)
18
A train travels at a constant speed and covers 154 km in 3.5 hours. Calculate how far the train would travel in 5 hours at the same speed.
(Total for Question 18 is 3 marks)
19
It takes 6 machines, working at the same constant rate, 10 hours to complete an order. Calculate how long it would take 4 machines, working at the same rate, to complete an identical order.
(Total for Question 19 is 3 marks)
20
A fruit squash is made from concentrate and water in the ratio 1 : 6. A jug holds 2.8 litres of squash in total. Calculate how much concentrate is in the jug.
(Total for Question 20 is 2 marks)
21
A printer prints pages at a constant rate. It prints 156 pages in 12 minutes. Calculate how many pages it would print in 20 minutes at the same rate.
(Total for Question 21 is 2 marks)
22
Two numbers are in the ratio 5 : 8. Their difference is 39. Calculate the sum of the two numbers.
(Total for Question 22 is 3 marks)
23
A sum of money is shared between Ade and Bo in the ratio 7 : 5. Ade then gives Bo £24, after which they have equal amounts of money. Calculate the original total sum of money shared between them.
(Total for Question 23 is 4 marks)
24
A company's profit of £900 is divided between three partners, Owen, Priya and Zack, in the ratio 4 : 5 : 6. Zack donates one third of his share to charity and keeps the rest. Calculate how much money Zack keeps.
(Total for Question 24 is 3 marks)
25
In a factory, the ratio of day-shift workers to night-shift workers is 7 : 3. The ratio of night-shift workers to weekend-only workers is 2 : 5. Calculate the ratio of day-shift to night-shift to weekend-only workers, giving your answer in its simplest form.
(Total for Question 25 is 3 marks)
26
A sum of money is divided between Grace and Kwame in the ratio 9 : 4. Grace receives £70 more than Kwame. Calculate the total sum of money.
(Total for Question 26 is 4 marks)
27
A stadium has 450 seats reserved for home fans, away fans and neutral fans in the ratio 7 : 2 : 1. Before kick-off, 30 neutral seats are reallocated equally between home fans and away fans, while the total number of reserved seats stays at 450. Calculate the new ratio of home to away to neutral seats, giving your answer in its simplest form.
(Total for Question 27 is 4 marks)
Mark scheme · EP.M40 Ratio and Proportion Depth

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

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27