Estimate Powers and Roots
Estimate the powers and roots of the given positive numbers.
\( 1 \)
\( 2 \)
\( 3 \)
\( 4 \)
\( 5 \)
\( 6 \)
\( 7 \)
\( 8 \)
\( 9 \)
\( 10 \)
\( 11 \)
\( 12 \)
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.
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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Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:
"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."
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"I am an NQT and have only just discovered this website. I nearly wet my pants with joy.
"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."
Secondary National Strategy, Mathematics at key stage 3
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.
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.
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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Did you know that there is a quick way of squaring a two digit number which ends in .5?
Just multiply the first digit by that digit plus one then add a 0.25 to the result.
For example What is 8.5 squared?
8 x 9 + 0.25 = 72.25.
Here are some other tips and tricks from the Mathforum website:
You may also want to use a calculator to check your working. See Calculator Workout skill 6.
This video is from Khan Academy.
You may also want to use a calculator to check your working. See Calculator Workout skill 5.
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.