Indices

A self marking exercise on indices including evaluating expressions and solving equations.

Level 1Level 2Level 3Level 4Level 5Level 6Level 7DescriptionHelpGameMore Indices

This is level 5: mixed questions involving integer, negative and fractional indices. You can earn a trophy if you get at least 12 out of the 15 questions answered correctly and you do this activity online.

 1-⅓ 90 4-½ 16-½ 25-½ 1-½ 64⅔ 16-¼ 27⅔ 8-⅔ 271 8-⅓ 1-⅔ 16¾ 64-⅓
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This is Indices level 5. You can also try:

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.

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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 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

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!!"

Snooker Angles

This must be the most enjoyable way to practise estimating angles and learn about bearings. Snooker Angles is an interactive game for one or two players.

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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.

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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:

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.

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Description of Levels

Level 1 - Evaluating simple positive indices without a calculator

Level 2 - Evaluating positive indices with a calculator

Level 3 - Evaluating negative and zero indices

Level 4 - Evaluating indices expressed as fractions

Level 5 - Mixed questions involving integer, negative and fractional indices

Level 6 - Multiplying, dividing and raising to another power

Level 7 - Solving simple equations involving indices

Game - Three levels of the Indices Pairs Game.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Examples

 52 = 5 x 5 = 25 53 = 5 x 5 x 5 = 125 54 = 5 x 5 x 5 x 5 = 625 51 = 5 50 = 1 5-1 = 1⁄5 5-2 = 1⁄5x5 = 0.04 5a × 5b = 5a+b 5a ÷ 5b = 5a-b (5a)b = 5ab

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. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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