The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Direct Proportion

In this worksheet, students study direct proportion.

'Direct Proportion' worksheet

Key stage:  KS 3

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Solve Problems Involving Direct and Inverse Proportion

Difficulty level:  

Worksheet Overview

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?

 

Answer

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?

 

Answer

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).

CORRECT 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).

CORRECT 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).

CORRECT 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).

CORRECT 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).

 

CORRECT 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).

CORRECT 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).

 

CORRECT 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).

CORRECT 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).

 

CORRECT 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).

 

 

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

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Start your £1 trial today.
Subscribe from £10/month.