# Direct and Inverse Proportion

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

##### Level 1Level 2Level 3Unitary MethodDescriptionHelpExam QuestionsMore Ratio Activities

This is level 2; Inverse proportion. You can earn a trophy if you get at least 9 correct.

 1. If $$a$$ is inversely proportional to $$b$$ and $$a=3$$ when $$b=8$$       find $$a$$ when $$b=8$$ and find $$b$$ when $$a=6$$ 2. If $$c$$ is inversely proportional to $$d$$ and $$c=4$$ when $$d=42$$       find $$c$$ when $$d=7$$ and find $$d$$ when $$c=6$$ 3. If $$e$$ is inversely proportional to $$f$$ and $$e=5$$ when $$f=56$$       find $$e$$ when $$f=8$$ and find $$f$$ when $$e=7$$ 4. If $$g$$ is inversely proportional to $$h$$ and $$g=6$$ when $$h=63$$       find $$g$$ when $$h=0.9$$ and find $$h$$ when $$g=0.7$$ 5. A teacher shared some cherries between a group of children on the playground. There were six children in the group and they got four cherries each. How many cherries would they have got each if there were eight children in the group? 6. A fish pond can be filled in ten hours by three identical hose pipes. How many hours would it take to fill the pond by five identical hose pipes? 7. The volume V of a given mass of gas varies inversely as the pressure P. When V = 10m3, P = 100 Nm-2. Find the volume in cubic metres when the pressure is 250 Nm-2. 8. Click or tap on the graph which could represent inverse proportion. A B C D E
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This is Direct and Inverse Proportion level 2. You can also try:
Level 1 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.

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#### Vinculum

This activity comprises of five challenges each one requiring you to type in one more fraction than the previous challenge and each starting with a different fraction. The starting fractions are one tenth, one quarter, one third, one half and four sevenths.

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## 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

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## 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:

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## Description of Levels

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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.

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