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IndicesA self marking exercise on indices including evaluating expressions and solving equations. |
This is level 1: evaluating positive indices without a calculator. You will be awarded a trophy if you get at least 12 correct and you do this activity online.
Simplify the following.
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 11 January 'Starter of the Day' page by S Johnson, The King John School: "We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory." Comment recorded on the 9 October 'Starter of the Day' page by Mr Jones, Wales: "I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!" |
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Go MathsLearning 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 MapAre 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. | ||
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Scan the QR code below to visit the online version of this activity.
https://www.Transum.org/go/?Num=380
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Level 1 - Evaluating positive indices without a calculator
Level 2 - Evaluating positive indices with a calculator
Level 3 - Evaluating negative and zero indices
Level 4 - Multiplying, dividing and raising to another power
Level 5 - Evaluating indices expressed as fractions
Level 6 - Mixed questions involving integer, negative and fractional indices
Level 7 - Multiplying, dividing and raising to another power with coefficients
Level 8 - Solving simple equations involving indices
Level 9 - Solving interesting equations involving indices
Indices Challenge - Dr Tim Honeywill has come up with these challenges to test your understanding of indices and algebra.
Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).
Game - Find the matching pairs of indices in this interactive online game.
Laws of Indices - a drag-and-drop true/false challenge.
More Indices including lesson Starters, visual aids, investigations and self-marking exercises.
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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.
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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Busolla, Australia
Saturday, August 22, 2020
"Thank you very much for providing these resources for free for teachers and students. It has been engaging for the students - all trying to reach their highest level and competing with their peers while also learning. Thank you very much!"