Transum Software

Direct and Inverse Proportion

A self-marking exercise in solving direct and inverse variation problems.

Level 1 Level 2 Level 3 Unitary Method Description Help Exam Questions More Ratio Activities

This is level 1; Direct proportion. You can earn a trophy if you get at least 7 correct.

1. If \(a\) varies directly with \(b\) and \(a=30\) when \(b=6\)

      find \(a\) when \(b=8\)
Correct Wrong

      and find \(b\) when \(a=55\)
Correct Wrong

2. If \(c\) varies directly with \(d\) and \(c=56\) when \(d=7\)

      find \(c\) when \(d=11\)
Correct Wrong

      and find \(d\) when \(c=24\)
Correct Wrong

3. If \(e\) varies directly with \(f\) and \(e=55\) when \(f=5\)

      find \(e\) when \(f=8\)
Correct Wrong

      and find \(f\) when \(e=121\)
Correct Wrong

4. If \(g\) varies directly with \(h\) and \(g=12.6\) when \(h=6\)

      find \(g\) when \(h=7\)
Correct Wrong

      and find \(h\) when \(g=18.9\)
Correct Wrong

5. The distance travelled by a train is directly proportional to the time taken.
If the train can travel 515 kilometers in 5 hours find how many kilometers it can travel in 7 hours.
Correct Wrong

6. The cost of a drain pipe is directly proportional to its length.
A pipe costing £26.10 is 45 centimetres long. How many centimetres long would a drain pipe costing £34.22 be?
Correct Wrong
Check

This is Direct and Inverse Proportion level 1. You can also try:
Level 2 Level 3

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

Email address

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy:

"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

Featured Activity

ChrisMaths

ChrisMaths

Christmas activities make those December Maths lessons interesting, exciting and relevant. If students have access to computers there are some online activities to keep them engaged such as Christmas Ornaments and Christmas Light Up.

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:

Subscribe

Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

Apple

©1997-2017 WWW.TRANSUM.ORG

Description of Levels

Close

Close

Level 1 - Direct proportion

Level 2 - Inverse proportion

Level 3 - Mixed non-linear questions

Unitary Method

Direct and Inverse Proportion

This video is from Mannel's Maths Music.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

Close

Close