All topics

Direct proportion

proportions, directly proportional quantities, dividing in a given ratio, map and plan scale

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Problem

A recipe for 7 portions needs 1330 g of flour. How many grams are needed for 2 portions?

2

Choose the correct answer

Which quantities are directly proportional?

3

Problem

A distance of 2.5 km on the ground is drawn on a map with scale 1:50 000. How many centimetres long is the segment?

4

Problem

On a map with scale 1:1000 a segment is 9 cm long. How many metres is that distance on the ground?

5

Solve the proportion

x : 2.4 = 8 : 4

6

Problem

The angles of a triangle are in the ratio 2 : 9 : 7. Find the smallest angle of this triangle.

7

Complete the proportion

3/2 = 27/☐

8

Problem

An amount of money was split into two parts in the ratio 3 : 5. The smaller part is 360 zł. What was the whole amount?

9

Problem

A car uses 6 litres of petrol per 100 km. How many litres will it use on a 500 km route?

10

Choose the correct answer

A segment 5 cm long on a map matches a distance of 1.25 km on the ground. What is the scale?

This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.

PhiBoard is a free online whiteboard for maths

These exercises are part of it. On the board itself you can plot a function, write a formula in LaTeX, or solve a problem together with a teacher or a friend - live, in the browser. Our app is completely free.

Create a free account
See what the board can do
PhiBoard

A modern, interactive board for study and work. Create, teach and collaborate - completely free.

PhiBoard

Tools

Capabilities

Knowledge base

Support

FAQ

Our mission

Contact

More

Our goalFor schoolsNewsOur coursesExercise bankWorksheets

Documents

TermsPrivacy policy

office@phiboard.com

Support the project

© 2026 PhiBoard. All rights reserved.

Online math whiteboardOnline tutoring whiteboardWhiteboard for teachersFunction graphs online

We Use Cookies

To improve the quality of our services, we use cookies. Cookies help us tailor our website to your preferences, analyze how you use the site, and provide a better user experience. By accepting cookies, you consent to their use for optimizing functionality and content on the site.

We use cookies to keep the site working and to improve it. Choose which ones you accept.

Direct proportion - exercises with solutions | PhiBoard