Ratio and Proportion - Worksheets, Questions and Revision

18 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

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KS2 · Ratio and Proportion

KS2.M-Y6N5 Ratio and Proportion

Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Share 80 sweets between Aisha and Luis in the ratio 3:5. How many sweets does Luis get?
(2)
2
A recipe uses milk and water in the ratio 2:7. If you have 63 ml of water, how much milk do you need?
(2)
3
A map is drawn with scale 1:25 000. A straight road on the map is 4.8 cm long. Work out the actual length of the road in metres.
(2)
4
Three friends share a prize of 360 points in the ratio 4:3:5.
Part a: How many points does the friend with 3 parts get?
Part b: If the friend with 5 parts gives 20 points to the friend with 4 parts, what are their new totals?
(a)How many points does the friend with 3 parts get?(1)
(b)If the friend with 5 parts gives 20 points to the friend with 4 parts, what are their new totals?(2)
5
A rectangular photo is enlarged by a scale factor of 3. The original photo has width 6 cm and height 4 cm. What is the area of the enlarged photo in square centimetres?
(2)
6
Share 95 metres of ribbon between three boxes in the ratio 1:1:3. How many metres does each of the smaller two boxes get?
(2)
7
A chemist mixes X and Y in the ratio 7:2. If there are 63 ml of X, how much Y is needed?
(2)
8
Emma and Noah share a box of 48 pencils in the ratio 2:6.
Explain why sharing in the ratio 1:3 gives the same result. Give the number of pencils each gets as part of your explanation.
(3)
9
A model plane is made with a scale of 1:50. The model wingspan is 18 cm. What is the real wingspan in metres?
(2)
10
A class of 30 children have pets in the ratio cats:dogs = 2:3. How many children have cats?
(2)
11
Two quantities are in the ratio 5:8. If the smaller quantity is 35, find the larger quantity.
(2)
12
A picture is reduced so that its width becomes 12 cm from an original 20 cm. What scale factor was used? Give your answer as a fraction in simplest form.
(2)
13
A mixture contains sugar and water in the ratio 5:12. A chef needs 170 g of mixture. How much sugar should he use? Show your method.
(3)
14
A drawing is enlarged by a scale factor of 2.5. The original length is 8 cm. What is the new length in centimetres? Give your answer as a decimal.
(2)
15
A school orders fruit boxes in the ratio apples:bananas:pears = 4:3:1. If the school orders 320 pieces of fruit in total, how many pears do they order?
(2)
16
Tom says that if two quantities are in the ratio 6:9, you can write it as 2:3. Explain the mathematical step he uses and show the simplified ratio.
(2)
17
A poster is printed so that its width and height are in the ratio 5:8. The width is 50 cm. Explain whether the height could be 80 cm, showing your reasoning and giving the correct height if needed.
(3)
18
A bag contains red and blue counters in the ratio 3:4. If there are 63 counters altogether, what fraction of the counters are red? Give your answer in simplest form.
(3)
Mark scheme · KS2.M-Y6N5 Ratio and Proportion

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