Dr Tim's Indices ChallengeDr Tim Honeywill has come up with these challenges to test your understanding of indices and algebra. 
This is level 1: Dr Tim's tricky tasks. You can earn a trophy if you get at least 7 questions correct and you do this activity online.
The letters (variables) in your answers should be in alphabetical order with the constant term (if any) at the end.
This is Dr Tim's Indices Challenge level 1. You can also try:
Level 2
InstructionsTry 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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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 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales: "A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks." Comment recorded on the s /Coordinate 'Starter of the Day' page by Greg, Wales: "Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!" 
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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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Questions written by Dr Tim Honeywill (@HoneywillTim)
Background photograph by Yvonne Brown
© Transum Mathematics 19972024
Scan the QR code below to visit the online version of this activity.
https://www.Transum.org/go/?Num=857
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Indices  The traditional, easier indices questions.
Level 1  Dr Tim's tricky tasks
Level 2  Dr Tim's tortuous tasks
Exam Style Questions  A collection of problems in the style of GCSE or IB/Alevel exam paper questions (worked solutions are available for Transum subscribers).
More on this topic including lesson Starters, visual aids, investigations and selfmarking exercises.
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.
See the National Curriculum page for links to related online activities and resources.
$$5^1=5$$ $$5^0=1$$ $$5^{1}=\frac15$$  $$5^a \times 5^b = 5^{a+b}$$ $$5^a \div 5^b = 5^{ab}$$ $$(5^a)^b = 5^{ab}$$ 
The answers, particularly at level 2, can be written a variety of different forms even within the 'alphabetical order' constraint. If you get an answer marked wrong but are convinced it is correct try writing it in a different format.
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 doubleclick 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.
These exercises use MathQuill, a web formula editor designed to make typing Maths easy and beautiful. Watch the animation below to see how common mathematical notation can be created using your keyboard.
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