Card set a pairs activity is really useful when youve taught fractional and negative indices. Indices edexcel foundation practice sheets maths tutor2u. Example of inverse functions which are the image of each other in the line yx. These laws only apply to expressions with the same base, for example, 3 4 and 3 2 can be manipulated using the law of indices, but we cannot use the law of indices to manipulate the expressions 3 5 and 5 7 as their base differs their bases are 3 and 5. Tes global ltd is registered in england company no 02017289 with its registered office. Indices also known as powers or exponents studywell. Decimals and standard form top a multiplying and dividing i move the decimal points to the right until each is a whole number, noting the total number of moves, perform the multiplication, then. Index mathematics methodology 1 table of contents introduction 4 different varieties of indices 4 the index divisor 5 supporting documents 5 capitalization weighted indices 6 definition 6 adjustments to share counts 6 divisor adjustments 7 necessary divisor adjustments 8 capped market capitalization indices 10.
Indices or powers mctyindicespowers20091 a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. We can see that b 2 x b 5 b 7 simply by writing out the expressions in full ie b x b x b x b x b x b x b. If you didnt enjoy it before, maybe this is your chance to chance your views of it learn one of the most rewarding disciplines. A rational number is one that can be expressed as a fraction, where a and b are integers. Indices gcse maths revision higher level worked exam questions inc fractional and negative powers duration. Practice questions on indices problem solving questions for new 91 spec. The marks for the parts of questions are shown in round brackets, e. Exam questions on indices videos, worksheets, solutions. We use the laws of indices to simplify expressions involving indices.
The square root of 3 is the number that, when multiplied by itself, equals 3 and is written as. In pairs or otherwise, try and match the blue and orange cards. Sep 07, 20 indices gcse maths revision higher level worked exam questions inc fractional and negative powers duration. All books are in clear copy here, and all files are secure so dont worry about it.
N ax log a n x 100 102 log 10 100 2 64 43 log 4 64 3 0. In this section of text you will learn about powers and rules for manipulating them through a number of worked examples. Indices or powers a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. This section covers indices and the uses of indices in algebra. Pearson edexcel mathematics gcse 91, exam questions by. Convert the following numbers from standard form to the normal decimal format. Helping your child learn mathematics helping your child learn mathematics fore word contents we know from research that children are more likely to be successful learners of any subject when parents actively support their learning1. Write each of the following as fractions a b c d e f question 1. Surds and indices points to remember page 2 surds and indices examples page 3 surds and indices important questions page 5.
Write each of the following as fractions a b c d e f question 10. A power, or an index, is used to write a product of numbers very compactly. If you divide 2 numbers with the same base you subtract the powers. A booklet mathematical formulae and statistical tables might be needed for some questions. Use the rules of indices to simplify each of the following and where possible evaluate. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. There are three rules that should be used when working with indices. Revision of indices, surds and functions maths tuition for. Surds and indices shortcuts, tricks, pdf and formulas.
The concepts relating to indices are relatively easy to explain from first principles. The reasoning behind the index laws is straightforward. Expand the following boxes for the laws of indices. The index laws apply to fractional indices as well as positive and negative integer indices. If you stop the indexing process, you cannot resume the same indexing session but you dont have to redo the work. Convince me in my opinion, this is the ultimate way to use tarsia jigsaw activities. Indices practice questions evaluate the following expressions without your calculator. The following are the rules that you need to learn and practice.
Any expression written as a n is defined as the variable a raised to the. Higher tier questions and model answers 2 pdf files editable questions 1 word 2016 file this resource contains 15 higher tier questions, in the style of the aqa gcse exam papers. Year 8 calculator 2018 more algebra and indices test. In this section of text you will learn about powers and rules for. Term surds is not often used, instead term roots is used. This video shows an animated guide to indices for higher tier exams. Mathematics revision guides indices, surds and functions page 4 of 12 author. Hegartymaths is totally committed to helping students improve at maths.
Read each question carefully before you begin answering it. Multiplying and dividing indices, raising indices to a power and using standard form are explained. Providing study notes, tips, and practice questions for students preparing for their o level or upper secondary examinations. Covers laws of indices including fractional and negative indices, solving. Dec 31, 2014 the first is indices dominoes by teachit maths a really nice activity, with the added bonus that the answer is written backwards so students cant cheat by guessing the words. Today, helping children to make the effort to learn, appreciate and master mathematics is more important than ever. Ele page csm1027 maths 1a foundation coefficients of terms are divided as normal eg. Covers laws of indices including fractional and negative indices, solving equations involving indices igcse fm syllabus and raising a single term to a power.
This site is like a library, you could find million book here by using search box in the header. An integer is a whole number positive, negative or zero. An index number is a number which is raised to a power. Exam questions ao2 problem solving indices teaching resources. Pearson edexcel mathematics gcse 91, exam questions by topics. Read online 1 indices mep pupil text 1 maths tallis book pdf free download link book now. The power, also known as the index, tells you how many times you have to multiply the number by itself. Simplify each of the following a b c d e f question 8. This website and its content is subject to our terms and conditions. Based on questions appearing in edexcel papers and mocks.
Indices all our lesson starter activities together in one handy place. Literacy activities find a word study stack quizlet crossword fill in the blanks. Any positive number raised to the reciprocal of a power m is equivalent to the mth root of that number. Indices gcse maths revision higher level worked exam questions include fractional and negative powers examples. Mathematics higher tier, indices uk 0775 950 1629 page 11 question 15 a simplify p 5 x p 4 b simplify q 5. Mathematics linear 1ma0 fractional and negative indices materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Puzzles, team games, numeracy gems and other quick activities to kick off your maths lessons. If the answer is not exact give the decimal approximation to two decimal places. They also present us with many useful properties for manipulating them using what are called the law of indices.
And if you do enjoy it, then this is a fantastic opportunity to master it. To manipulate expressions, we can consider using the law of indices. You can find notes and exam questions for additional math, elementary math, physics, biology and chemistry. In english, when a letter is smaller and on the upper right side of the bigger letter, we call it. The first is indices dominoes by teachit maths a really nice activity, with.
Indices are a useful way of more simply expressing large numbers. Create a tarsia or adapt an original one so that it contains at least 5 mistakes, and ensure these mistakes highlight common misconceptions students have with a. Fractional indices page 3 of 3 june 2012 exercises exercise 1 evaluate the following expressions. Exam questions ao2 problem solving indices teaching. On completion of this tutorial you should be able to do the following. Section a multiple choice questions 9 marks circle the letter corresponding to the correct response. The basic arithmetic operations of addition, subtraction, multiplication, and division are discussed, along with exponents and roots. Click build, and then specify the location for the index file. The highest common factor of 16m2n, 28mn and 40m is.
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