# Direct Proportion

In this worksheet, students study direct proportion.

Key stage:  KS 3

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Solve Problems Involving Direct and Inverse Proportion

Difficulty level:

### QUESTION 1 of 10

In this worksheet, we will learn how to use direct proportion to work out problems.

Example 1

A car uses petrol at the rate of 1 gallon for every 30 miles travelled (30 mpg)

How many gallons will it take to travel 177 miles?

1 gallon = 30 miles
30 miles = 1 gallon
1 mile = 1/30 gallon
177 miles = 1/30 × 177 = 177 ÷ 30 = 5.9 gallons

Example 2

How many miles can it travel on 5.9 gallons?

1 gallon = 30 miles
5.9 gallons = 30 × 5.9 = 177 miles

A car uses petrol at the rate of 1 gallon for every 40 miles travelled. How many gallons will it take to travel 136 miles? (just write the number is your answer).

A car uses petrol at the rate of 1 gallon for every 40 miles travelled. How many miles can it travel on 14 gallons? (just write the number is your answer).

A car uses petrol at the rate of 1 gallon for every 30 miles travelled. How many gallons will it take to travel 267 miles? (just write the number is your answer).

A car uses petrol at the rate of 1 gallon for every 30 miles travelled. How many miles can it travel on 8 gallons? (just write the number is your answer).

A car uses petrol at the rate of 1 gallon for every 30 miles travelled. How many gallons will it take to travel 150 miles? (just write the number is your answer).

A car uses petrol at the rate of 1 gallon for every 30 miles travelled. How many miles can it travel on 5 gallons? (just write the number is your answer).

A car uses petrol at the rate of 1 gallon for every 20 miles travelled. How many gallons will it take to travel 174 miles? (just write the number is your answer).

A car uses petrol at the rate of 1 gallon for every 20 miles travelled. How many miles can it travel on 8.7 gallons? (just write the number is your answer).

A car uses petrol at the rate of 1 gallon for every 40 miles travelled. How many gallons will it take to travel 72 miles? (just write the number is your answer).

A car uses petrol at the rate of 1 gallon for every 40 miles travelled. How many miles can it travel on 8.5 gallons? (just write the number is your answer).

• Question 1

A car uses petrol at the rate of 1 gallon for every 40 miles travelled. How many gallons will it take to travel 136 miles? (just write the number is your answer).

3.4
EDDIE SAYS
The scale factor we need to use here is 40 (40 ÷ 1) 136 ÷ 40
• Question 2

A car uses petrol at the rate of 1 gallon for every 40 miles travelled. How many miles can it travel on 14 gallons? (just write the number is your answer).

560
EDDIE SAYS
The scale factor we need to use here is 40 (40 ÷ 1) 14 x 40
• Question 3

A car uses petrol at the rate of 1 gallon for every 30 miles travelled. How many gallons will it take to travel 267 miles? (just write the number is your answer).

8.9
EDDIE SAYS
The scale factor we need to use here is 30 (30 ÷ 1) 267 ÷ 30
• Question 4

A car uses petrol at the rate of 1 gallon for every 30 miles travelled. How many miles can it travel on 8 gallons? (just write the number is your answer).

240
EDDIE SAYS
The scale factor we need to use here is 30 (30 ÷ 1) 8 x 30
• Question 5

A car uses petrol at the rate of 1 gallon for every 30 miles travelled. How many gallons will it take to travel 150 miles? (just write the number is your answer).

5
EDDIE SAYS
The scale factor we need to use here is 30 (30 ÷ 1) 150 ÷ 30
• Question 6

A car uses petrol at the rate of 1 gallon for every 30 miles travelled. How many miles can it travel on 5 gallons? (just write the number is your answer).

150
EDDIE SAYS
The scale factor we need to use here is 30 (30 ÷ 1) 5 x 30
• Question 7

A car uses petrol at the rate of 1 gallon for every 20 miles travelled. How many gallons will it take to travel 174 miles? (just write the number is your answer).

8.7
EDDIE SAYS
The scale factor we need to use here is 20 (20 ÷ 1) 174 ÷ 20
• Question 8

A car uses petrol at the rate of 1 gallon for every 20 miles travelled. How many miles can it travel on 8.7 gallons? (just write the number is your answer).

174
EDDIE SAYS
The scale factor we need to use here is 20 (20 ÷ 1) 8.7 x 20
• Question 9

A car uses petrol at the rate of 1 gallon for every 40 miles travelled. How many gallons will it take to travel 72 miles? (just write the number is your answer).

1.8
EDDIE SAYS
The scale factor we need to use here is 40 (40 ÷ 1) 72 ÷ 40
• Question 10

A car uses petrol at the rate of 1 gallon for every 40 miles travelled. How many miles can it travel on 8.5 gallons? (just write the number is your answer).

340
EDDIE SAYS
The scale factor we need to use here is 40 (40 ÷ 1) 6.5 x 40
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