This includes the laws of algebraic indices algebraic indices is used here to describe the topic where indices are involved with any algebraic expression. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. Multiplying and dividing indices, raising indices to a power and using standard form are explained. Edexcel gcse 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. The corbettmaths video tutorial on laws of indices.
Gcse maths solutions, examples, worksheets, videos, games. This video shows an animated guide to indices for higher tier exams. Higher maths indices maths activity workshops, gcse papers. The multiplication law when you multiply terms, you add the powers. Index laws are the rules for simplifying expressions involving powers of the same base. Using an index or power laws of indices edexcel gcse. Maths made easy complete tuition ltd 2017 rules of indices powers 1. Indices or powers mctyindicespowers20091 a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. An index is a power of numbers that indicate how many times it has been multiplied by itself. The reasoning behind the index laws is straightforward. Here is a refresher of what you need to know when starting your alevel maths after having completed your gcse maths. The concepts relating to indices are relatively easy to explain from first principles.
The whole of gcse 91 maths in only 2 hours higher and foundation revision for edexcel, aqa or ocr duration. Aqa, ocr, edexcel gcse maths indices and powers questions. Full examples and questions for complete specification. There are three rules of indices or laws of indices which you have to know and be able to apply to problems involving both numbers and algebra. Examsolutions maths revision youtube video stuart the examsolutions guy 20200223t17. How to work with negative indices help with igcse gcse maths. Worksheet includes space for notes and supports the 5es instructional model. Raising to the power of zero, negative powers and fractional indices are explained with examples demonstrated. Reading this guide will give you a strong foundation from which to build your knowledge prior. Index laws mixed questions index laws i multiplication ii division iii raising a power to a power iv negative indices vi fractional indices vii mixed questions. Index laws gcse revision worksheets teaching resources. Lots of questions and examples at grades 7, 8 and 9. Laws of indices this worksheet has questions about the laws of indices.
Algebraic indices is used here to describe the topic where indices are involved with any algebraic expression. Concepts that you will need to know for the gcse maths. Tips and notes for english, general paper, and composition writing are also provided. Laws of indices laws of indices ocr gcse maths revision. Dec 31, 2014 the concepts relating to indices are relatively easy to explain from first principles. Indices gcse maths revision higher level worked exam questions include fractional and negative powers examples. If you study the first maths video in which i explain negative indices, you will understand that negative indices are closely related to the second law of indices. Mathematics higher tier, indices uk 0775 950 1629 page 11 question 15 a simplify p 5 x p 4 b simplify q 5. Online maths tests for gcse, alevel and university. Read each question carefully before you begin answering it.
Indices laws of indices index multiplication index division indices powersindices reciprocals, roots the laws of indices have been examined already with respect to number under. Example questions given with full solutions and an opportunity to practise your skills. The laws of indices introduction a power, or an index, is used to write a product of numbers very compactly. If you run out of time or get the question wrong, you sit down.
Law of indices, powers, roots, simplifying and expanding using law of indices. This worksheet is designed to give you extra practice on the laws of indices and using the laws of surds. Science and maths by primrose kitten 1,114,839 views. Without a calculator, use the laws of indices to help you evaluate the following. Corbett maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5aday. Collect like terms 1 worksheet 1 variable only collect like terms 2 worksheet 2 variables collect like terms 3 worksheet 2 variables, more complicated terms expanding single brackets worksheet. Past papers often involve questions with negative indices and also on future gcse igcse maths exams you will most likely have to answer questions with negative indices. Law of indices, solving exercises to simplify expressions, simplifying and expanding using. Visit the my tarsia page for lots of different ideas for using this wonderful free resource, and to get hold of. Oct 03, 2017 aiming for grade 3 and grade 5 worksheets provide structure to revision sessions on the laws of indices. Mixed questions index laws algebra free gcse maths.
The division law when you divide terms, you subtract the powers. Indices practice questions evaluate the following expressions without your calculator. To manipulate math expressions, we can consider using the law of indices. Sep 07, 20 indices gcse maths revision higher level worked exam questions inc fractional and negative powers duration. This gcse maths revision webinar is on cumulative frequency, box plots and histograms.
Indices usually appear in mathematics as a numerical superscript after a number or variable and are also known as powers or exponents. May 01, 2017 looking for free gcse or igcse maths help. Mathematics linear 1ma0 fractional and negative indices. Aug 24, 2012 the corbettmaths video tutorial on laws of indices. Providing study notes, tips, and practice questions for students preparing for their o level or upper secondary examinations. Mathematics higher tier, indices chatterton tuition. Worksheets are indices or powers, mathematics linear 1ma0 algebra indices, 3 indices and standard form mep y9 practice book a, indices and surds, laws of indices work, indices practice questions, 5h revision on indices, maths learning service revision index laws mathematics.
We have a collection of videos, games, activities and worksheets that are suitable for gcse maths or igcse maths. A power, or an index, is used to write a product of numbers very compactly. Indices materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Using an index or power laws of indices aqa gcse maths. Laws of indices f urther to my post yesterday ive put this worksheet together for my students that didnt get q9 on the edexcel march 20 non calculator paper correct, but will be equally useful for anyone that is teaching indices it includes a must. Indices rules worksheets questions and revision mme. The tutor2u maths team comprise experienced gcse and a level maths teachers and examiners with wide experience of all the main exam. Covers laws of indices including fractional and negative indices, solving equations involving indices igcse fm syllabus and raising a single term to a power. Index laws fractional indices index laws i multiplication ii division iii raising a power to a power.
Index laws order of operations bidmas percentages surds ratios search. 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. Indices, powers, roots, simplifying equations, law of indices, manipulating expressions with the same base higher foundation. Gcse maths indices expert guidance by mahima laroyia. Indices gcse maths revision higher level worked exam questions inc fractional and negative powers duration. Indices laws of indices index multiplication index division indices powers indices reciprocals, roots the laws of indices have been examined already with respect to number under. Gcse maths revision rules of indices powers questions author. Apr 09, 2014 the whole of gcse 91 maths in only 2 hours higher and foundation revision for edexcel, aqa or ocr duration. However, in this section indices will be looked at in more depth, this time. Fractional indices index laws algebra free gcse maths. Join s of fellow maths teachers and students all getting the tutor2u maths teams latest resources and support delivered fresh in their inbox every morning. Revise about how to multiply and divide indices, as well as apply negative and fractional rules of indices with this bbc bitesize gcse maths edexcel guide. In this section of text you will learn about powers and rules for manipulating them through a number of worked examples.
Indices or powers gcse maths study guide revision material. Laws of indices give rules for simplifying calculations or expressions involving powers of the same base. For any numbers, x, m, and n, those three rules are. I have included fluency, reasoning and problem solving questions. Learn about and revise how to multiply and divide indices, as well as apply negative and fractional rules of indices with gcse bitesize ocr maths. Indices and surds gcse a and a questions with answers. This section covers indices and the uses of indices in algebra. Pearson edexcel mathematics gcse 91, exam questions by topics.
Pearson edexcel mathematics gcse 91, exam questions by. What are the three laws of indices help with igcse gcse maths. 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 4 5 and 9 7 as their base differs their bases are 4 and 9, respectively. Laws of indices this guide describes how to work with and manipulate the laws of indices in mathematics. Effective resource to revise and prepare for maths exam. Index laws fractional indices index laws i multiplication ii division iii raising a power to a power iv negative indices vi fractional indices. Click to read more about indices and download our comprehensive gcse maths study guide. Indices show how many times a number or letter has been multiplied by itself. Aiming for grade 3 and grade 5 worksheets provide structure to revision sessions on the laws of indices. Exam questions on indices videos, worksheets, solutions.
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