3. Factors Video 22 Questions Answers. The worksheets are designed in landscape so they can be conveniently displayed on screen, as well as printed. GCSE: (b) Deal with fractional exponents. The Negative index. With HegartyMaths you can 1. Division (long) Video 19a. Solutions. Increasingly Difficult Exercises: Indices. Interactive tools and activites to aid the teaching of mathematics. Adding and Subtracting with Negative Numbers Practice Strips ( Editable Word | PDF | Answers) Multiplying and Dividing with Negative Numbers Practice Strips ( Editable Word | PDF | Answers) Mixed Operations with Negative Numbers Practice Strips ( Editable Word | PDF | Answers) NEGATIVE INDICES Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. (c) Deal with problems involving a mixture of bases. Number F Standard Form v4 Number F Standard Form v4 SOLUTIONS. Indices Rule 10: Negative Powers. Passing N5 Maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. Integers, Powers and Roots - Medium Term Plan. 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. Good luck! 2 Identify the operation/s being undertaken between the terms. 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. Multiplication Textbook 1 and Textbook 2 - Corbett Maths; Multiplying positive integers - lessons from Boss Maths; Multiplication methods (teacher resource) Access Maths; Fractional and negative indices - @taylorda01 ; Fractional Indices Always/Sometimes/Never - MathsPad; (Level 5) 5 2 3 2 4 2 10 6 [2 marks] Answer 5 Write the following expression as a power of 5. 2. Im Kerry, a maths teacher with over 25 years experience including as Head of Mathematics and more recently ten years running a tuition centre. Log in above for the teachers version. No calculator allowed! The power, also known as the index, tells you how many times you have to multiply the number by itself. MASH also provides additional 1-1 support with any maths or stats related to your course. (Level 5) 255 53 [2 marks] Answer Turn over for docx, 11.59 KB. Write the following as fractions without indices: a. KS1 KS2 (Lower) KS2 (Upper) KS3 GCSE Foundation GCSE Higher. The base number is 3 and is the same in each term. Download the medium term plan by clicking on the button above. Laws of Indices. Posts about Worksheets written by corbettmaths. Hundreds of randomly generated questions and answers. The Corbettmaths Practice Questions on Negative Indices for Foundation GCSE Maths. A sound understanding of Indices is essential to ensure exam success. Post navigation. Answer the questions in the spaces provided there may be more space than you need. File Size: 257 kb. right!? 34 3 4. The temperature in Watford is 9C colder than Redtown Towns Temperature Leek -8C 3. Powers and Roots. Equations Video 21 Questions Answers. I have used other lessons from TES and added my own interpretation as well as added some additional questions. Algebra: substitution. This video shows a guide to indices and powers. There are daily questions found at www.corbettmathsprimary.com/5-a-day/ 1. Here is part of a number line 2. The thermometer below shows the temperature at 6am in a town The temperature increases by 7C by 10am Corbettmaths 2018 Diagrams are NOT accurately drawn, unless otherwise indicated. Increasingly Difficult Exercises: Negative Indices. Inequalities Line Number Practice Questions Answers Textbook Answers 178. x3 x4 = x xx x x xx x 3 x 4 = x x x x x x x. Division (short) Video 19 Questions Answers. Fractional and Negative Indices Name: _____ Instructions Use black ink or ball-point pen. The Corbettmaths Practice Questions on Fractional Indices. Caluculate a power raised to a power Corbett: Laws of Indices Collins: p50 Use Negative Indices. Information The marks for each question are shown in brackets Interactive Resources . pdf, 370.64 KB. The Textbook Exercise on Negative Indices. 24\times-4=-96 24 4 = 96. An index number is a number which is raised to a power. There are a number of important rules of index numbers: Lessons. Focus your time on the mistakes and misconceptions of your students and give them the feedback to improve. The farmer must pay 1p tax for each m 2 of land he owns. Then remember that multiplying a positive number by a negative number gives a negative, so the answer is: 2 4 4 = 9 6. When y = 18.3 then x = 3. The terms are being multiplied. Find the lower and upper bound. The plural of index is indices. Section A: GSCE-level maths. The plural of index is indices. 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. I have also included a BINGO activity to recap basic laws of indices before moving onto the more difficult content. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. A selection of some of my favourite, free maths activities to use in lessons. Negative Fractional Indices - Go Teach Maths: Handcrafted Resources for Maths Teachers From your 'My Account' page, you can give feedback, change I have tried out each and every one with my students. For example, 2 5 means that you have to multiply 2 by itself five times = 22222 = 32. An index is a small number that tells us how many times a term has been multiplied by itself. Topic ; Indices: Negative: Solutions: Mean: Solutions: Median: Solutions: Metric Units: Lengths: Solutions: Metric Units: Mass & Capacity: Solutions: Metric & Imperial Units: km and miles: Scroll down the page for more examples and solutions on fractional and negative indices. It really is one of the very best websites around. It's good to establish the laws of indices quickly when learning Indices. Covers laws of indices (including fractional and negative indices), solving equations involving indices (IGCSE FM syllabus) and raising a single term to a power. Previous Cube Roots Video. We get negative indices by dividing two terms with the same base where the first term is raised to a power that is smaller than the power that the second term is raised to. This worksheet features converting negative indices into fractions and vice-versa as well as converting decimals into index notation. Name. The marks for each question are shown Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. Indices Worksheets Example 2. Inequalities: (one sign) Practice Questions Answers Textbook Answers 179. Try our Maths Topic Sheets these are great whether you are struggling with a topic, or need to for revise and prepare for school tests. Use the "Contact PixiMaths" page to request any resources you can't find. All lessons I create I use myself as well as share to my own department. The following diagrams show fractional indices and how to evaluate them. Increasingly Difficult Exercises: Fractional Indices. 2b1 2 2 b 1 2. Just Maths Number H Product of Primes, HCF & LCM v2 Number H Product of Primes, HCF & LCM v2 SOLUTIONS 1.4 Calculating with Powers (Indices) - Use powers and roots in calculations - Multiply and divide using index laws - Work out a power raised to a power Dr Frost Powers, Roots & Laws of Indices Just Maths 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. Dr J Frost (jfrost@tiffin.kingston.sch.uk)@DrFrostMaths . Laws of Indices. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Objectives: (a) Understand laws for multiplying power expressions, raising a power to a power and dealing with 0 or negative exponents. E.g. We can however evaluate these calculations. Check out our other pages to find out how. There are several laws of indices (sometimes called indices rules), including multiplying, dividing, power of 0, brackets, negative and fractional powers. Increasingly Difficult Exercises: Indices. Tracing paper may be used. Further Maths; Powers are a shorthand way of expressing repeated multiplication. Download all files (zip) Negative indices are powers (also called exponents) with a minus sign in front of them. E.g. We get negative indices by dividing two terms with the same base where the first term is raised to a power that is smaller than the power that the second term is raised to. Question 12 Categorisation: Combine laws of indices with laws of surds, in particular recognizing that =( ) = , i.e. This page will give you the 7 easy rules to remember; there are. 2. The power, also known as the index, tells you how many times you have to multiply the number by itself. I have big plans for Blacksmith Maths. Show Step-by-step Solutions. Diagrams are NOT accurately drawn, unless otherwise indicated. Prerequisites. Find the amount of tax the farmer must pay. An index, or power, is the small floating number that appears after a number or letter. Anything with a * next to it represents content that is brand new to GCSE Maths for the 2017 exams. For example, 2 5 means that you have to multiply 2 by itself five times = 22222 = 32. Information come with answers. Some topics have additional worksheets which contain Challenge and Problem Solving questions. Write the following fractions in index form: (c) Deal with problems involving a mixture of bases. Set personalised, comprehensive and scaffolded work quickly from your markbook. Roots are ways of reversing this. Types of Numbers. 5-4 = j. Section C: Key topics from A-level maths. Indices: Negative Practice Questions Answers Textbook Answers 176. 3 3 further more complex rules which can be found in the laws of indices page. Indices Name: _____ Instructions Use black ink or ball-point pen. E.g. Below is an example of a term written in index form: 4 3 4 3. Inequality Practice Questions Answers Textbook Answers 177. Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes. Instructions Use black ink or ball-point pen. GCSE Maths Takeaway. . Worksheet - Negative and fractional indices. It's good to establish the laws of indices quickly when learning Indices. Indices show where a number has been multiplied by itself, eg squared or cubed, or to show roots of numbers, eg square root. Negative Indices 1. 3. These are the temperatures in towns cities on the same day. The laws of indices Introduction A power, or an index, is used to write a product of numbers very compactly. Last modified: 9th July 2021. Another way of expressing 4 3 is. Division (long) Video 19a. Increasingly Difficult Exercises: Fractional Indices. Level 9 GCSE Maths Papers 2022 are designed for students who want to achieve the top grades in their GCSE Maths exam. right!? Use the MTP in conjunction with assessment results and gap analyses to download required resources from below. Menu Skip to content. Indices or powers are used to write statements involving repeated multiplication in shorthand. 18.5 Calculating with Standard Form. N7a Calculating with positive and negative integer indices. Diagrams are NOT accurately drawn, unless otherwise indicated. GCSE :: Laws of Indices. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. You must show all your working out. Identify whether the base numbers for each term are the same. Using negative indices produces fractions. The plural of index is indices. GCSE Maths Specification and Awarding Body Information Videos . a) Perform the calculation as if the numbers were positive: 2 4 4 = 9 6. File Type: pdf. Multiplying and dividing indices, raising indices to a power and using standard form are explained. Increasingly Difficult Exercises: Negative Indices. A Level Revision A Level (Modular) Revision. square rooting has the effect of halving the power. Click here for Answers. An index number is a number which is raised to a power. Following Jo Morgan's workshop at MathsConf15, I've completely redesigned my lesson resources for this topic. 3-4 = c. 2-3 = d. 10-2 = e. 4-3 = f. 3-3 = g. 11-2 = h. 2-8 = i. In this leaet we remind you of how this is done, and state a number of rules, or laws, which can be used to simplify expressions involving indices. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards; Books; March 24, 2013 August 20, 2019 corbettmaths. And best of all they all (well, most!) You must show all your working out. Lower = 47.5 Upper = 48.5 Edges, Faces, Vertices Video 20 Questions Answers. Solutions. During these years I have helped literally hundreds (probably thousands) of students right through from year 3 up to those crucial years of GCSE and A level maths exams. find roots using indices. GCSE Papers . Level 2 - Evaluating positive indices with a calculator. Division (short) Video 19 Questions Answers. N7b Calculating with fractional indices. Dr J Frost (jfrost@tiffin.kingston.sch.uk)@DrFrostMaths . Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. Corbettmaths - This video goes through the laws of indices needed for both the foundation and higher tiers. Rich Tasks . Learn Maths, Boss Maths N7a - Calculating with positive and negative integer indices: 3-5: Squares roots, Cubes roots, Indices, Indexes, powers of a numbers: Number: N7b - Calculating with fractional indices: 5-7: Squares roots, Cubes roots, Indices, Indexes, powers, fractions of 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. I'm always looking to better my lessons in such elements as: the quality of content; quantity; engagement of the pupils; exam prep; efficiency of the lesson; retention curve; accessibility and challenge and various others. When we cancel the common factors of x. I have tried out each and every one with my students. KS3/4 :: Number :: Powers, Roots & Laws of Indices. 1 0. The following resources are ideal for your GCSE Maths Revision. GCSE :: Laws of Indices. Negative Indices x ^-n = 1/x^n x^0 = 1 Limits of accuracy The height of a lighthouse is 48m to the nearest metre. Indices refers to the power symbol we write just above numbers or terms. a means "a" squared which means "a" multiplied by "a". There are other names for an index, including power and also logarithm. It's good to establish the laws of indices quickly when learning Indices. Download File. You might just want some questions for a bit of practice. Probability and statistics refresher. y is directly proportional to x. 4 3 Simplify the following expression (Level 5) 5254 53 [2 marks] Answer 4 Simplify the following expression. We can read this as 4 to the power 3. Equations Video 21 Questions Answers. The Corbettmaths Practice Questions on Fractional and Negative Indices for Level 2 Further Maths. Whenever we multiply expressions together with the same index this operation is equivalent to adding the numbers in the index together. Objectives: (a) Understand laws for multiplying power expressions, raising a power to a power and dealing with 0 or negative exponents. x2 x 2. Further Maths 1; Further Maths 2; Extension Questions; A Level Practice Papers 2019 Specs; Tuition; Select Page. Worksheet Name 1 2 3 Indices Rules - Basics 1 2 3 Indices Rules - Advanced 1 2 3 Corbett Maths keyboard_arrow_up Back to Top Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. A level Maths (All Topics (brief)) Flashcards on Corbettmaths Flashcards, created by Holly Martin on 24/04/2018. Radio 4 podcast showing maths is September 2, 2019 corbettmaths. Recap of Fractional and Negative Indices with 2 sets of differentiated "Super 9" practice questions. Indices Worksheets Example 2. Menu Skip to content. A farm has an area of 12 km 2. - Write small numbers in standard form. 18.4 Writing Small Numbers in Standard Form. Next Negative Indices Practice Questions. GCSE: (b) Deal with fractional exponents. A Level Revision . Primary 5-a-day, videos, worksheets and more A selection of some of my favourite, free maths activities to use in lessons. A worksheet for practising the use of negative indices. There are a total of. Find how many yellow sweets are in the packet. Find the HCF and LCM of two numbers Corbett: Product of Primes LCM and HCF Collins: p10 Use powers and roots in calculations. Corbett maths trigonometry worksheet. I'm always looking to better my lessons in such elements as: the quality of content; quantity; engagement of the pupils; exam prep; efficiency of the lesson; retention curve; accessibility and challenge and various others. Section B: Higher GCSE and easier A-level. Lots of credit goes to her for resources and ideas used in these lessons. Answer all questions. 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. Unformatted text preview: Free GCSE Maths Video Maths Topics Videos Video Topic Video Topic _____ _____ _____ _____ Video 1 Algebraic Fractions Video 9 Indices Video 2 Arcs & Sectors Video 10 Percentages Video 3 BBC BiteSize Video 11 Similar Shapes Video 4 Changing the Subject Video 12 Straight Lines Video 5 Equations & Inequations Video 13 Surds Video 6 Exam Close. 1. Simplify 3 2 3 3. Answer all Questions. Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. How to solve negative indices. Write an equation for y in terms of x. - Multiply and divide numbers in standard form. GCSE Laws of Indices. Jumpstart University. This section covers Indices and the uses of Indices in algebra. View all students answers, scores and comments and hold them accountable for their effort. 3. 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 Laws of indices. Dividing by 10, 100, 1000 Video 18 Questions Answers. Answer the questions in the spaces provided there may be more space than you need. Negative powers flip the fraction and put 1 over the number. Questions. Level 4 - Multiplying, dividing and raising to another power. docx, 11.62 KB. Maths : Indices - Introduction. Edexcel Exam Papers OCR Exam Papers AQA Exam Papers. Welcome; Videos and Worksheets; Primary; 5-a-day. Edges, Faces, Vertices Video 20 Questions Answers. Corbett: Estimation Collins:p95 Write a number of the product of its prime factors. Categorisation: Identify a missing power when negative indices are involved. Answer the Questions in the spaces provided there may be more space than you need. Maths revision video and notes on the topic of Negative and Fractional Indices. 4 is the base and 3 is the index. Free resources for teachers and students to hopefully make the teaching and learning of mathematics a wee bit easier and more fun. All lessons I create I use myself as well as share to my own department. Level 5 - Evaluating indices expressed as fractions. New Further Maths. Answer all questions. Negative indices Video Videos; indices; negative; Post navigation. Grade 8/9 Topics. 24\times4 = 96 24 4 = 96. [Edexcel GCSE Nov2011-3H Q18b] 2 = 1 4 Write down the value of . Practice Questions. Level 1 - Evaluating positive indices without a calculator. Indices show how many times a It really is one of the very best websites around. 2 3-2 = k. 3 3-4 = l. 25 10-4 = 2. Thank you, Jo! Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes. pptx, 1.48 MB. A good pass at N5 Maths will set you up well for the fast paced Higher Maths Course next year should you be interested. Level 6 - Mixed questions involving integer, negative and fractional indices Corbett Maths 5-a-day 16 y View Week 2 Narrated PPT Lesson/Video Expanding double brackets 17 Factorising quadratic expressions 20 Expanding brackets involving surds 26 Negative indices 28 Corbett Maths 5-a-day 31 If you are looking for some maths to do over the half term break, take a look at the following Example 1: finding the value of an expression involving index notation and multiplication. Questions. negative_indices_answer_sheet.pdf. This section covers Indices revision. Videos, worksheets, 5-a-day and much more Just Maths. Multiply and divide using index laws. N6a Using powers and roots. Corbettmaths Videos, worksheets, 5-a-day and much more. A lesson I have prepared on Fractional and Negative Indices. Laws of Indices. After studying this section, you will be able to: divide and multiply algebraic expressions using indices. Give your answers as whole numbers or fractions where necessary. Previous Distance Time Graphs Practice Questions. Fractions: Adding (same denominators) Video 23 Questions Answers. 5-1 = b. Series of slides, questions/examples/starters I have used recently on negative/fractional indices. pptx, 240.35 KB. negative_indices.pdf. b) Perform the calculation as if the numbers were positive: Worksheets with answers . Factors Video 22 Questions Answers. You must show all your working out. Welcome; Videos and Worksheets; Primary; 5-a-day. This is the students version of the page. Laws of Indices: Worksheets with Answers. Level 3 - Evaluating negative and zero indices. There are a number of important rules of index numbers: y a y b = y a+b; Examples. 4 4 4 = 64 4 4 4 = 64. I have big plans for Blacksmith Maths. Description of Levels. Dividing by 10, 100, 1000 Video 18 Questions Answers. Whenever we multiply expressions together with the same index this operation is equivalent to adding the numbers in the index together. Fractions: Adding (same denominators) Video 23 Questions Answers. - Convert numbers from standard form with negative powers into ordinary numbers. GCSE Revision. Videos, worksheets, 5-a-day and much more Examples, solutions, videos, activities and worksheets that are suitable for A Level Maths to help students learn the multiplication rule, division rule and power rule of indices. Last modified: 9th July 2021. File previews. Number Algebra Ratio Measurement Geometry Probability Statistics Sets Calculus. 1. 10 10 indices rules. These sessions are free to all University of Sheffield students. Fractional and Negative Indices Instructions Use black ink or ball-point pen. Diagnostic Questions . The sweets are all red, yellow or green in the ratio of 4 : 2 : 3. Information Examples, solutions, and videos to help GCSE Maths students learn about negative and fractional indices. Negative Indices Practice Questions Corbettmaths. 4. Learn GCSE Maths Edexcel Exam Papers OCR Exam Papers AQA Exam Papers Edexcel IGCSE Maths GCSE Statistics. Corbettmaths Videos, worksheets, 5-a-day and much more. Welcome to MathsDIY.