Ratio and Proportion (KS2 Maths (SATs)) - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDF Jump to mark scheme (page 5)Ratio and Proportion (KS2 Maths (SATs)) revision guide

This topic is chapter 11 of KS2 Maths: Fractions, Ratio and proportion, and Algebra Practice Book.

5.2 Ratio and Proportion

Calculators not allowed · about 55 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Share 80 sweets between Aisha and Luis in the ratio 3:5. How many sweets does Luis get?

(2)

A class of 30 children have pets in the ratio cats:dogs = 2:3. How many children have cats?

(2)

Two quantities are in the ratio 5:8. If the smaller quantity is 35, find the larger quantity.

(2)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

A chemist mixes X and Y in the ratio 7:2. If there are 63 ml of X, how much Y is needed?

(2)

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)

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)

Mark scheme · 5.2 Ratio and Proportion

Question 1

M1 Divide 80 into 8 equal parts or show 80 ÷ (3+5) seen
B1 Luis gets 50 sweets cao
Answer: 50

Question 2

M1 Total parts 2+3 = 5, 30 ÷ 5 = 6
B1 Cats = 2 × 6 = 12 cao
Answer: 12

Question 3

M1 Find 1 part: 35 ÷ 5 = 7
B1 Larger = 8 × 7 = 56 cao
Answer: 56

Question 4

M1 Show factor 12 ÷ 20 or equivalent
B1 Scale factor 3/5 cao
Answer: 3/5

Question 5

M1 Total parts 5+12=17, find 1 part = 170 ÷ 17 = 10 or show equivalent
M1 Calculate sugar 5 × 10 or equivalent method
B1 Sugar = 50 g cao
Answer: 50

Question 6

M1 Multiply 8 × 2.5 or show method
B1 New length 20.0 cm or 20 cm cao
Answer: 20

Question 7

M1 Total parts 4+3+1=8, 320 ÷ 8 = 40
B1 Pears = 1 × 40 = 40 cao
Answer: 40

Question 8

M1 Divide both parts by their highest common factor (3) or state dividing by 3
B1 Simplified ratio 2:3 cao
Answer: 2:3

Question 9

M1 Show 50 corresponds to 5 parts so 1 part = 10 or equivalent
M1 Multiply 8 × 10 or state 8 parts = 80 but show reasoning about units
B1 Conclude height = 80 cm and explain this is correct cao
Answer: 80

Question 10

M1 Find red count: total parts 3+4=7, 63 ÷ 7 = 9, red = 3 × 9 = 27
M1 Form fraction 27/63 or equivalent
B1 Simplify fraction to 3/7 cao
Answer: 3/7

Question 11

M1 Use ratio 2:7 so water corresponds to 7 parts; find 1 part = 63 ÷ 7 = 9
B1 Milk needed 2 × 9 = 18 ml cao
Answer: 18

Question 12

M1 Convert: 4.8 cm at 1:25 000 is 4.8 × 25 000 cm or show method
B1 Actual length 1,200 m cao
Answer: 1200

Question 13

(a) B1 90 points cao
(a) Answer: 90
(b) M1 Find original totals for 4 parts and 5 parts (4×30 and 5×30) or equivalent
(b) B1 New totals 4-part friend 140, 5-part friend 130 cao
(b) Answer: 140 and 130

Question 14

M1 Scale lengths by 3 so new width 18 and height 12, or state area scale factor is 9
B1 Area = 216 cm2 cao
Answer: 216

Question 15

M1 Divide 95 into total parts 1+1+3=5, 95 ÷ 5 = 19
B1 Each smaller box gets 19 m cao
Answer: 19

Question 16

M1 63 corresponds to 7 parts so 1 part = 9
B1 Y = 2 × 9 = 18 ml cao
Answer: 18

Question 17

M1 State that 2:6 can be simplified by dividing both parts by 2 (or show equivalent simplification)
M1 Show 1+3 = 4 parts and 48 ÷ 4 = 12 or equivalent
B1 Give final amounts: Emma 12, Noah 36 cao
Answer: Emma 12, Noah 36

Question 18

M1 Scale 1:50 so actual = 18 × 50 cm = 900 cm or equivalent
B1 900 cm = 9 m cao
Answer: 9

Ratio and Proportion (KS2 Maths (SATs)) - Worksheets, Questions and Revision

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