WestbourneHouseSchool Revision–SummerTerm Y7MATHSREVISIONCHECKLIST TheExam(s)willconsistof: OneNon-calculatorPaper–duration60minutes Onecalculatorpaper–duration60minutes OneshortMathsAural–duration20minutes(paperisdoneduringamathslesson) NB:Inadditiontotheabove,Y7MathsSet1willsitanadditionalextensionpaper. Equipmentyouwillneedfortheexam: • • • • • • Ruler(15cmand30cm) Pencil Eraserandpencilsharpener Compass Protractor Calculator(forthecalculatorpaper) TOPIC/PAPER WHATTOREVISE DONE? Non-Calculator Paper Decimaladdition,subtraction,multiplicationanddivision Fractions/decimals/%-orderingmixedvalues %ofanumber Wordyfractionquestionsinvolvingadditionandsubtraction Wordyfractionquestionsinvolvingmultiplicationordivisionwith fractionsandaninteger Reversecalculationsandnumberfacts Ratio BIDMAS Algebra substitution solvingequations Primefactors(cherrytreemethodorother) Averages–mean,mode,medianandrange Particularlyusingthetotalvaluefromthemean Calculatorpaper MathsAural Sequencesandseriesofnumbers Areaofatriangle Drawingandinterpretingpiecharts Convertingbetweenmetricunits Roundingtothenearest10,100anddecimalplace Finding%ofavalue Ratio Algebra–simplification Algebra–multiplyingoutbrackets Algebra–factorising Algebra–writingalgebra Time,distanceandspeed Convertingbetweenkm/hourandm/s Netsandsurfaceareaofcubesandcuboids Circlework–area,circumferenceandcompoundshapes Bearings Piecharts–interpretinganddrawing • Examtakeninclassroomunderexamconditions. • Questionsarereadoutbytheteacherandpupilsareallowedto showtheirworkings. • Nocalculatorstobeused. NOTES/TIPS: • • • • Revisebypractisingthequestionsbelow,usingyournotebooksandappropriatewebsiteslike www.mathletics.co.ukorwww.mymaths.co.uk Inallmathsexamsworkingsareessential.Itmustbeassumedthatanyquestionworthmore than1markrequiresatleastonelineofworking.Workingsshouldnotbe“doodle”likebutbe clearlysetoutinalogicalmanorpreferablystartingatthetopofthespaceprovidedand workinginadownwardsdirection. TheCollinsKS3Maths(Standard):All-in-OneRevisionandPractice(CollinsKS3Revisionand Practice-New2014CurriculumEdition)ISBN9780007562770providesgoodrevisionnotes andrevisionfortopicsaboveCE.Thisisanadditionalrevisionguidewhichcanbepurchased. Foranyfurtherinformationorguidanceaboutrevisionortheactualexam,pleasecontactthe HeadofMaths–MrsBarbaraLangford([email protected]) Numberwork Decimalcalculations 1.IbuyaCDcosting£4.99andabookcosting£8.54.HowmuchdoIpayaltogether? 2.Abookcosts£8.54andaCDcosts£.499.HowmuchmoreisthebookthantheCD? 3.Ibuy6bookseachcosting£8.54.HowmuchdoIspend? 4.If8CDscost£34.80.Howmuchdoes1CDcost? Fractions/Decimals/% 5.Write0.34asafractioninitslowestterms 6.Write7%asadecimal 7.Write10.5%asadecimal 8.Write 9.Write 4 asa% 25 7 asadecimal 20 BIDMAS 10.4–5+9= 11.4+5x3= 12.3+52+2= Primenumbers 13.Write42and28asproductsofprimenumbers(hintcherrytreeorequivalent) 14.UsingtheanswerabovewhatistheHighestCommonFactor(HCF)of42and28 15.UsingtheanswerabovewhatistheLowestCommonMultiple(LCM)of42and28 16.Whatisthelargestoddnumberthatdividesexactlyinto42? 17.WhatwouldIneedtomultiply28bytomakeaperfectsquare? Reversecalculationsandnumbersentences 18.IfIknowthat34x7=238thenwhatdoes a.3.4x7= b.2.38÷7= c.340x7= d.238,000÷70= (Hint:youshouldnotbeworkingtheseoutlonghand.……..youshouldbeusingtheinformationinthe question) Numberpatternsandrules(sequences) 19.Whatarethenext2termsofthefollowingsequences a.1,4,9,16,............. b.1,4,7,10,............ c.3,7,11,15,............... d.7,4,1,............ Topsets:Canyouwritethenthtermofthese? Fractionquestions 20.IfIeat 2 ofapacketofbiscuitsaday.HowmanypacketsofbiscuitswillIeatin6days? 3 21.Ihaveeaten18packetsofbiscuits.Ieat 22.Ieat 2 ofapacketaday.Howlongdidittakeme? 3 2 2 ofapieandbybrothereats . 5 7 a.Howmuchhaveweeatenaltogether? b.Howmuchisleft? c.My2sisterswanttosharetheremainder.Howmuchdotheyeachget? Ratio 23.Arecipefor3peoplesaysuse3eggs,120gflourand150gofcheese. HowmuchofeachingredientwillIneedfor a.12people b.10people 24.Chocolatesaresharedintheratio3:5betweenBillandPaul. a.IfBillgets15.HowmanydoesPaulget? b.Ifthereare64altogether.HowmanydoesBillget? c.Iftheyhaveadifferenceof6.Howmanyweretheretobeginwith? Speedanddistance 25.IfItravelat36kmperhour. a.HowfardoItravelin3hours? b.Howlongdoesittakemetogo105km? c.Whatismyspeedinmetrespersecond? Algebra Substitution 26.Ifa=4,b=5andc=–6,whatdothefollowingequal a+b+c= 3a= 3a2= (3a)2= b–c= 3bc= Simplification 27.Simplifythefollowingexpressions a+a+b+b= 2a–3b+4a+5b= axaxb= 2a2x3a= Solving 28.Solvethefollowingequations 3x+5=14 3x+7=x+13 3x+10=26–x 5x+10=–2–x Brackets 29.Multiplyoutthefollowingbrackets 3(x+4)= 30.Multiplyoutthefollowingbracketsandthensimplify 5–3(x+4)= (BecarefulyouMUSTdothebracketsfirst–rememberBIDMAS) 31.Factorisethefollowingexpressions 5x+15= 2x2+4x= Bearings 32.ThediagrambelowshowsthepositionsofAandB.Thediagramisdrawntoscalean1cm represents10km. a.UsethediagramtocalculatethedistancefromAtoB b.CisduesouthofB.WritethethreefigurebearingofCfromB c.Cisalsoonabearingof1500fromA.MarkthepositionConthediagram. d.WhatdistanceisCfromB? PieCharts 33.TranslatetheinformationsuppliedbelowofsomeofthePremiershipgoalscorersontoapie-chart. Player GarethBale RobinvanPersie SergioAguero TheoWalcott Total Goalsscoredinone calendaryear Degreesonpie chart 30 45 25 20 120 360° 34.Thefollowingpiechartshowsthetypeofpetthat60peoplehadathome Fillinthefollowingtable Pet Degrees Dog 1800 Cat 360 Budgie 360 Goldfish 360 Other 1person=_____° Value Averages 35.20childrenwereaskedhowmanyapplestheyateeachday.Theresultsarerecordedinafrequency tablebelow. a.Findthemeannumberofappleseatenperday. No.ofapples Children 0 4 1 2 2 4 3 4 4 6 TOTAL b.Whatisthemodalnumberofappleseaten c.Whatistherangeofappleseaten d.Whatisthemediannumberofappleseaten 36.Topsets……….If5peoplehaveanaverageof5petseachand10peoplehaveandaverageof2pets each.Whatistheaveragenumberofpetsinthewholegroup. (Hint:youneedtoworkoutthetotals) Circlequestions 37.Acirclehasaradiusof3cm.Whatisitsarea?Whatisitscircumference? 38.Findtheareaandperimeterofthefollowingshapes topsetsonly.............. Nets,volumesandsurfacearea 39.Acuboidmeasures8cmby6cmby10cm. a.Whatisitsvolume? b.Howmanymillilitres(ml)ofwaterwouldfillthecuboid? c.Whatisitssurfacearea? d.Drawthenetofthecuboid e.Getsomeisometric(dotty)paperandtryanddrawthecuboid.
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