Mathematics linear 1ma0 fractional and negative indices. And if you do enjoy it, then this is a fantastic opportunity to master it. Read each question carefully before you begin answering it. Surds and indices points to remember page 2 surds and indices examples page 3 surds and indices important questions page 5. If you stop the indexing process, you cannot resume the same indexing session but you dont have to redo the work. If the answer is not exact give the decimal approximation to two decimal places. The square root of 3 is the number that, when multiplied by itself, equals 3 and is written as. This video shows an animated guide to indices for higher tier exams. There are a number of important rules of index numbers. Exam questions on indices videos, worksheets, solutions.
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. Write each of the following as fractions a b c d e f question 1. The reasoning behind the index laws is straightforward. The index laws apply to fractional indices as well as positive and negative integer indices. Use the rules of indices to simplify each of the following and where possible evaluate. The laws of indices introduction a power, or an index, is used to write a product of numbers very compactly. Indices edexcel foundation practice sheets maths tutor2u. 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. For example, 2 5 means that you have to multiply 2 by itself five times 2.
Literacy activities find a word study stack quizlet crossword fill in the blanks. Indices all our lesson starter activities together in one handy place. A power, or an index, is used to write a product of numbers very compactly. We use the laws of indices to simplify expressions involving indices. Pearson edexcel mathematics gcse 91, exam questions by. 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. Section a multiple choice questions 9 marks circle the letter corresponding to the correct response. They also present us with many useful properties for manipulating them using what are called the law of indices.
An integer is a whole number positive, negative or zero. To manipulate expressions, we can consider using the law of indices. Write each of the following as fractions a b c d e f question 10. A booklet mathematical formulae and statistical tables might be needed for some questions.
This site is like a library, you could find million book here by using search box in the header. Revision of indices, surds and functions maths tuition for. N ax log a n x 100 102 log 10 100 2 64 43 log 4 64 3 0. This section covers indices and the uses of indices in algebra. All books are in clear copy here, and all files are secure so dont worry about it. Indices materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. 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. This website and its content is subject to our terms and conditions. Indices are also known as powers, exponents or sometimes even orders. Multiplying and dividing indices, raising indices to a power and using standard form are explained. In this section of text you will learn about powers and rules for manipulating them through a number of worked examples. Indices or powers mctyindicespowers20091 a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. Practice questions on indices problem solving questions for new 91 spec.
The following are the rules that you need to learn and practice. 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. 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. A rational number is one that can be expressed as a fraction, where a and b are integers. Tes global ltd is registered in england company no 02017289 with its registered office. The basic arithmetic operations of addition, subtraction, multiplication, and division are discussed, along with exponents and roots. Read online 1 indices mep pupil text 1 maths tallis book pdf free download link book now. Indices also known as powers or exponents studywell.
Indices are a useful way of more simply expressing large numbers. Hegartymaths is totally committed to helping students improve at maths. Tutorial 5 indices, logarithms and function this is the one of a series of basic tutorials in mathematics aimed at beginners or anyone wanting to refresh themselves on fundamentals. 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. Fractional indices page 3 of 3 june 2012 exercises exercise 1 evaluate the following expressions. The power, also known as the index, tells you how many times you have to multiply the number by itself. The first is indices dominoes by teachit maths a really nice activity, with. Pearson edexcel mathematics gcse 91, exam questions by topics.
The concepts relating to indices are relatively easy to explain from first principles. Covers laws of indices including fractional and negative indices, solving equations involving indices igcse fm syllabus and raising a single term to a power. The highest common factor of 16m2n, 28mn and 40m is. You can find notes and exam questions for additional math, elementary math, physics, biology and chemistry. Any positive number raised to the reciprocal of a power m is equivalent to the mth root of that number. Ele page csm1027 maths 1a foundation coefficients of terms are divided as normal eg.
Any expression written as a n is defined as the variable a raised to the. In pairs or otherwise, try and match the blue and orange cards. Exam questions ao2 problem solving indices teaching. Indices gcse maths revision higher level worked exam questions inc fractional and negative powers duration. An index number is a number which is raised to a power.
Simplify each of the following a b c d e f question 8. Card set a pairs activity is really useful when youve taught fractional and negative indices. Convince me in my opinion, this is the ultimate way to use tarsia jigsaw activities. Providing study notes, tips, and practice questions for students preparing for their o level or upper secondary examinations. Year 8 calculator 2018 more algebra and indices test.
Click build, and then specify the location for the index file. Puzzles, team games, numeracy gems and other quick activities to kick off your maths lessons. Based on questions appearing in edexcel papers and mocks. Tips and notes for english, general paper, and composition writing are also provided. Expand the following boxes for the laws of indices. There are three rules that should be used when working with indices. Mathematics higher tier, indices uk 0775 950 1629 page 11 question 15 a simplify p 5 x p 4 b simplify q 5. 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. Indices practice questions evaluate the following expressions without your calculator. On completion of this tutorial you should be able to do the following. In english, when a letter is smaller and on the upper right side of the bigger letter, we call it. Convert the following numbers from standard form to the normal decimal format.
Today, helping children to make the effort to learn, appreciate and master mathematics is more important than ever. Mathematics revision guides indices, surds and functions page 4 of 12 author. Exam questions ao2 problem solving indices teaching resources. Indices or powers a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. Sep 07, 20 indices gcse maths revision higher level worked exam questions inc fractional and negative powers duration. 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. Surds and indices shortcuts, tricks, pdf and formulas. In this section of text you will learn about powers and rules for. 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. Indices gcse maths revision higher level worked exam questions include fractional and negative powers examples. Covers laws of indices including fractional and negative indices, solving. Term surds is not often used, instead term roots is used.
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