Y7 Maths - Westbourne House School

WestbourneHouseSchool
Revision–SummerTerm
Y7MATHSREVISIONCHECKLIST
TheExam(s)willconsistof:
OneNon-calculatorPaper–duration60minutes
Onecalculatorpaper–duration60minutes
OneshortMathsAural–duration20minutes(paperisdoneduringamathslesson)
NB:Inadditiontotheabove,Y7MathsSet1willsitanadditionalextensionpaper.
Equipmentyouwillneedfortheexam:
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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:
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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.