WestbourneHouseSchool
Revision–SummerTerm
Y7Set1MATHSREVISIONCHECKLIST
TheExamwillconsistof:
Thisextensionpaperwillbein2sections.SectionAwillbeshortquestionsdesignedtotestyour
mathematicalskills.Thissectionwillincludethenumberworkwithfractionsanddecimals,algebraand
volumeandsurfacearea.SectionBisdesignedtotestyourthinkingskills.Whilewehavecoveredallthe
mathsrequiredtodothequestionsyouwillnotnecessarilycomeacrosssomeoftheparticulartypesof
questionsbefore.
Equipmentyouwillneedfortheexam:
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Ruler(15cmand30cm)
Pencil
Eraserandpencilsharpener
Compass
Protractor
TOPIC/PAPER
WHATTOREVISE
DONE?
Firstly,youshouldreviseallthetopicsthattherestofyear7are
revisingandmakesureyouarereallysecureonthecommonentrance
work.
Then,workthroughthesamplequestionsbelow–theyaresimilar
topicsbutthequestionsshouldbemoretesting.
NOTES/TIPS:
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Revisebypractisingthequestionsbelow,usingyournotebooksandappropriatewebsiteslike
www.mymaths.co.uk
TheCollinsKS3Maths(Advanced):All-in-OneRevisionandPracticeISBN9780007562794
providesgoodrevisionnotesandrevisionfortopicsaboveCE.
OnthisextensionpaperIcannotstressenoughtheneedforclearandlogicalworkings.Mayof
thesectionBquestionsareworthbetween5and10marksandthereforeneedbetween5and
10linesoflogicalclearworkings.No“doodles”–please.
Foranyfurtherinformationorguidanceaboutrevisionortheactualexam,pleasecontactthe
HeadofMaths–MrsBarbaraLangford([email protected])
PracticeQuestions
Fractions
1.Findthevalueofthefollowing
(Hint:exceptforaddingconverttoimproperfractionsfirstandrememberBIDMASstillapplies)
3
2
2 +4
4
3
1 7 5
9 – ×1
5 9 7
7 1
÷1
9 2
Fractions/Decimals/%
2.Placethefollowinginorderofsizestartingwiththesmallest
(Hint:usedecimalmultiplicationtoworkout%sordecimalsandshowALLyourworkings)
2
5 of60 26%of50
26÷0.5 25%of60
Numberwork
3.Ifweknowthat68x96=6528,findthevalueofthefollowing......
680x9.6=
6.8x9.6=
34x192=
3.4x1.92=
65.28÷6.8=
4
3
6 × 9 =
5
5
(rememberyouareNOTsupposedtobeworkingthesecalculationsoutlonghand,youaresupposedto
beabletousetheinformationinthequestion)
Percentages
4.Amanouts£120inthebankandearns5%interestayear.
a.Howmuchdoeshehaveattheendofthefirstyear?
b.Howmuchdoeshehaveattheendof2years?
c.Leavingyouranswerinindexformhowmuchdoeshehaveafter5years?
5.Acoatcosts£42.50ata15%discountinasale.Howmuchdiditcostoriginally?
6.IfIbuyajacketfor£85andsellitfor£78.Whatismypercentageloss?
Algebra
7.Simplifythefollowingexpressions
3a+2b+2a–b
5a–4b–a+b
3ax3a
5a2x4ab
30+4(x+3)
45–3(2x+5)
60–3(3x–7)
(3a2)3
(3x+4)(2x–5)
(2x+5)(3x+4)
8.Factorisethefollowingexpressions
(Hint:rememberthedifferencebetweenquadratics(intotwobrackets)andlinear(onebracket))
3x+6
3ab+6b
4a2b+6a+8ab
x2+3x+2
x2+6x–16
x2–16
x3–4x
Didyouspotallmyfavourite“differenceof2squares”?
9.Solvethefollowingequations
3x+5=8x–1
4x–11=7–2x
3(2x+4)=17+2(x–5)
Anglework
10.Findthesizeofeachoftheanglespandq
10.Findthevalueofs
11.Findthevalueofx
12.Thetilingpatternismadefromaregularpentagon,fivesquaresandfivetriangles.
Findthefollowingangles(theobtuseoracuteanglenotthereflexangle)
a.angleCDE
b.angleDLK
c.angleBGH
d.angleFAE
Averages
13.8peoplehaveanaveragescoreof25points.3morepeoplejointhegroupandtheaveragedropsto
23points.Whatmarkscouldtheextra3peoplehave?
14.Ithinkof5numbers.Theyhavearangeof8,amodeof8andameanof10.Whatcouldthe
numbersbe?
Averagespeed
Hint:ALWAYSfindtheTOTALDISTANCEandTOTALTIMEinordertoworkoutaveragespeed.
15.Itravel8kmat6km/hourand10kmat5km/hour.Whatishisaveragespeed?
16.Itravelat5km/hourfor10minsand10km/hourfor15mins.Whatismyaveragespeed?
Probability
17.InAladdin’scavetherewere10bagsofgold,12bagsofsilver,13bagsofemeraldsand2bagsof
diamonds.
a.Aladdinleftinarush.Whatistheprobabilityhetookabagofemeralds?
b.Ageniefollowedhimout.IfAladdinhadtakenabagofgoldwhatwouldtheprobabilitybethat
thegeniewouldalsotakeabagofgold?
c.Aladdintakes9bagsoftreasure.Theprobabilitythatthegenietakesabagofgold,orsilveror
emeraldsisnowthesame.Whatistheprobabilitythathetakesabagofdiamonds?
Areaandvolume
18.Findtheareaandperimeterofthefollowing.
a.
b.
19.Whatfractionoftheareaofthesquareisshaded?
AEishalfthelengthofADand
DFishalfthelengthofDC
B
A
E
D
C
F
20.Findthevolumeandsurfaceareaoftheofthefollowing
a.
b.
21.Findthevolumeofthefollowing