GCSE 9-1 Maths Revision Guide - Sir Thomas Fremantle

GCSE 9-1 Maths Revision GuidePrimrose KittenYouTube tutorials forscience and maths.

Previously published. Maths and Calculator skills for Science StudentsMarch 2016http://amzn.to/2xgED3Q Maths (The Chemistry bits) for GCSE ScienceMay 2016http://amzn.to/2jJxyWc Science revision GuideApril 2017http://amzn.to/2fS0pD2 Maths Revision GuideApril 2017 Summer Start for A-Level ChemistryMay 2017http://amzn.to/2suR1e5 Atoms, Electrons, Structure and Bonding WorkbookJune 2017http://amzn.to/2tn8Rji GCSE Maths Grade 7, 8 and 9 Revision QuestionsSeptember 2017http://amzn.to/2fGQrrzComing soon Complete Maths workbookdue Christmas 2017 Organic Chemistry Workbook Maths for A-Level Chemistry Maths (The Physics bits) for GCSE Combined Science Maths (The Physics bits) for GCSE Triple Science Summer Start for A-Level PhysicsChances are if you want a maths/science book I’ve written it or I am writing it.For full book listings visit www.PrimroseKitten.com and follow @primrose kittenFirst published 2017Copyright; Primrose Kitten Image credits, Images by Lemberg Vector studio, by Macrovector, used under license fromShutterstock.com. Pixabay. -RoomAcknowledgementsThank you to my husband for putting up with my spending every night writing this and for correctingall of my SPG mistakes. To my sons for being the inspiration behind Primrose Kitten.Primrose KittenYouTube tutorials for science and maths.1

Hello Lovely KittensThank you so much for purchasing this revision booklet. Many items covered in here is also covered ina corresponding set of videos which I have made neat and accessible on my terrific partner platform:TuitionKit.On TuitionKit you’ll be able to schedule many of my revision videos and partner content to help youorganise your revision better, breaking it down into easy to handle bitesize chunks. You’ll also findmany of my other playlists and great resources from other Science and Maths teachers, as well assuper English teachers too.My videos are free when you sign up at www.tuitionkit.com/primrosekitten Using the discount code“kitten” will also give you a 20% discount on all the other material on the site for all your core GCSEsubject revision.To get a flavour for how TuitionKit’s great features will help you revise, go to www.tuitionkit.com andsign up for your free 48-hour trial.Wishing you all the best with your revision!Primrose KittenxoxoPrimrose KittenYouTube tutorials for science and maths.2

Table of ContentsRevision Techniques . 4Revision Timetable . 5Planning Tips. 5Weekday . 6Weekend . 7Number - Knowledge Checklist . 9Algebra - Knowledge Checklist .12Algebra Practice Questions .16Ratio, Proportion and Rates of Change - Knowledge Checklist .17Geometry and Measures - Knowledge Checklist .19Probability - Knowledge Checklist .25Statistics - Knowledge Checklist .26Primrose KittenYouTube tutorials for science and maths.3

Revision Techniqueshttps://www.youtube.com/playlist?list PL7O6CcKg0HaEAmHG0SbleDHfdJOQvUcnM Why do you need to revise effectively? Revision techniques #1When should I start revising? Revision Techniques #2 How to find your motivation and stay motivated. Revision Techniques #3 5 easy and effective ways to revise and study. Revision Techniques #4Flashcards. Revision Techniques #5Using past exam papers to study. Revision Techniques #6Colour - The easiest way to make study interesting. Revision Techniques #7 How to revise for the new specification maths exams. Revision Techniques #8How to fill MASSIVE gaps in your knowledge. Revision Techniques #9 How to best use your revision guide. Revision Techniques #10How best to use your revision guide, part 2. Revision techniques #11The easiest way to improve your grades, which you're going to hate!! Revision Techniques #12 Study timetable. Revision techniques #13Study Timetable - Plan with Me. Revision Techniques #13Another easy way to improve your grades, which you're going to hate!! Revision Techniques #14Study Space. Revision Techniques #15Don’t believe me? – here are some more links to help you.The science of revision: nine ways pupils can revise for exams more effectively.The Guardian. Bradley Busch Psychologist @Inner drive Tuesday 19 April 2016Ditch the highlighter and teach a friend. Psychology shows us a lot about how to improve our memoryand avoid distractions – here are some dos and e?CMP share btn twPrimrose KittenYouTube tutorials for science and maths.4

Revision TimetablePlanning Tips1. Write your timetable in pencil (or make a version on the computer) so you can change thingsaround if necessary.2. Start by thinking about what activities you can’t miss (dinner, clubs or TV programs) and putthese into your timetable.3. Plan in when you need to do your homework to get it in on time4. On top of your homework time, aim for a minimum of 2 extra hours on a weekday and 4 hourseach day over the weekend.5. Plan to revise for 1 hour per subject each week (this is in addition to homework) fill in thetable below to help you work out how much time you need to spend on revision6. Fill in the timetable spreading out the subjects (e.g., don’t do a whole day of Maths, do a biteach day) put contrasting subjects next to each other, to give your brain a break (e.g. Englishand Physics)7. Stick to the timetable, it will help ensure you cover each subject and spread out your revision.SubjectGroupPriorityMathsEnglish LanguageEnglish LiteratureCoreCoreCoreA-level choiceA-level choiceA-level choiceA-level choiceSubject I struggle withSubject I struggle withSubject I struggle withSubject I struggle withHigh ( 2 hours)High ( 2 hours)High ( 2 hours)High ( 2 hours)High ( 2 hours)High ( 2 hours)High ( 2 hours)Medium ( 1 hour)Medium ( 1 hour)Medium ( 1 hour)Medium ( 1 hour)Primrose KittenNumber of hourseach weekYouTube tutorials for science and maths.5

WeekdayTime4.00 - 4.25MondayTuesdayWednesdayThursdayFriday5-minute break4.30 – 4.555-minute break5.00 – 5.255-minute break5.30 – 5.555-minute break6.00 – 6.255-minute break6.30 – 6.555-minute break7.00 – 7.255-minute break7.30 – 7.555-minute break8.00 – 8.255-minute break8.30 – 9.00Primrose KittenYouTube tutorials for science and maths.6

WeekendTimeSaturdayTimeSunday5-minute break5-minute break5-minute break5-minute break5-minute break5-minute breakPrimrose KittenYouTube tutorials for science and maths.7

Join my lovely, friendly community over athttps://www.patreon.com/PrimroseKittenFind out what happens behind thescenesGet a first look at new videosGet advanced copies of sheets andbooksSpread out your revision and get sentflash cards and predicted papers each monthPrimrose KittenYouTube tutorials for science and maths.8

Number - Knowledge ChecklistKnowledge ChecklistThese are the bits the examboard wants you to know, makesure you can do all of these Self-assessmentSecondreview1-2monthsbeforeexam FinalreviewWeekbeforeexamI can define the term integerI can order positive integersFirstreview4-7monthsbeforeexam I can order negative integers I can order fractionsI can order decimalsI can use , , , , , I can define the mathematicalterm operationI can add, subtract, divide andmultiply integers I can add, subtract, divide andmultiply fractions I can add, subtract, divide andmultiply decimals I can order operations; andidentify which should be usedfirst.I can recognise oppositeoperationsI can define and identify primenumbers I can define and identify factors Primrose Kitten Bits to help if you don’tunderstandPrimrose KittenOther GH4OYouTube tutorials for science and maths.9

I can define and identify multiplesI can define and identify commonfactorsI can define and identify commonmultiplesI can define and identify highestcommon factor (HCF)I can define and identify lowestcommon multiple (LCM)I can define and identify primefactorisation I can identify and calculate squarenumbers I can identify and calculate cubenumbers I can identify and calculate squareroots I can identify and calculate cuberoots I can calculate powers of 4 orhigher I can calculate rootsI can calculate using fractions I can calculate using πI can calculate and interpretstandard form I can convert fractions todecimals and decimals to fractionsFlashcards to help with thisavailable to download fromwww.primrosekitten.comI can use fractions in ratios Primrose //bit.ly/2wp2vklYouTube tutorials for science and maths.10

I can use percentages I can recall and convert standardunits for massI can recall and convert standardunits for timeI can recall and convert standardunits for lengthI can recall and convert standardunits for moneyI can use estimation to calculatequantitiesI can round numbers to aspecified number of decimalplaces or significant figuresI can use inequalities to show theinterval a number might fallbetweenI can interpret limits of accuracyHigher tier onlyI can estimate powers and rootsfor a given positive numberI can calculate with surds I can simplify expression involvingsurds I can change recurring decimals tofractions and fractions in torecurring decimals I can determine upper and lowerbound of accuracyI can use the product rule forcountingI can use fractional indices Primrose ttp://bit.ly/2x3HakSYouTube tutorials for science and maths.11

Algebra - Knowledge ChecklistWhere to go if you don’t understandSelf-assessmentKnowledge ChecklistFirstreview4-7monthsbeforeexam Secondreview1-2monthsbeforeexam I can put numbers into analgebraic expression and ifneeded calculate an answerI can collect like terms in analgebraic expressionI can multiply out a number infront of a bracket I can factorise an algebraicexpression by taking out commonfactorsI can multiply two expressions These are the bits the examboard wants you to know, makesure you can do all of these I can recognise that a x b is equalto abI can recognise that 4a is equal toa a a a or 4 x aI can recognise that y2 is equal toyxyI can recognise that b𝑎𝑏is equal to aI can use a x b is equal to abI can use 4a is equal to a a a a or 4 x aI can use y2 is equal to y x y𝑎I can use 𝑏 is equal to a bPrimrose KittenFinalreviewWeekbeforeexamPrimrose KittenOther places be tutorials for science and maths.12

I can factorise x2 bx c I can simplify an algebraicexpressionI can rearrange an algebraicexpression to change the subject https://youtu.be/L--GzM nddEI can use and manipulate surds https://youtu.be/KfCtSYdvQocI can use the laws of indices I can use functions I can plot and determinecoordinate from a graphI can plot a line from theexpression y mx c I can identify parallel lines fromthe expression y mx c I can determine the expression y mx c from a graph I can find the gradient of a line I can find the intercept of a lineI can identify roots from a graphI can identify intercepts from agraphI can identify turning points froma graphI can recognise and sketch thegraphs for linear functionsI can recognise and sketch thegraphs for quadratic functions Primrose //bit.ly/2yNtzvsYouTube tutorials for science and maths.13

I can recognise and sketch thegraphs for cubic functionsI can recognise and sketch the I can plot graphsI can interpret distance-timegraphsI can interpret velocity-timegraphsI can solve an equation I can find approximate solutionsto an equation from a graph I can solve quadratic equations byfactorisingI can solve two simultaneousequations I can make equations from asituation given in textI can solve linear inequalities andshow the answer on a number line I can find terms in a sequencefrom the nth term I can find the nth term from asequenceI can recognise and use squarenumbersI can recognise and use cubenumbersI can recognise and use triangularnumbersHigher tier onlyI can simplify algebraicexpression involving fractionsI can factorise quadraticequations (ax2 bx c) graphs for1𝑥Primrose ttp://bit.ly/2fFU7d4YouTube tutorials for science and maths.14