50065 maths test1 (1)
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Maths testTRANSCRIPT
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• Donotbeginoropenthisbookletuntiltoldtodoso• Youhave50minutestocompletethistest• Eitherring,underlineorwritethecorrectanswertoeachquestionasked• Workquicklyandcarefully• Roughworkingmaybedoneonaseparatepieceofpaper• Writeanswersclearlyandcrossoutanymistakes• Onlycrossoutmistakesifyouhaveanotheranswertoreplaceitwith• Thereare50questions,trytocompletethemall
Ithinkofanumber,halveitandadd4.Theansweris10.5.WhatnumberdidIthinkof?
Thereare50pupilsinmyyear.12areboys.Approximatelywhatproportionisthis?
1/21/3 1/4 1/5 1/6
Whatistheareaofthisshape?Givetheappropriateunits:
Whatistheperimeterofthisrectangle?
7/10ofpeoplelikechocolate.Writethisasadecimal:
Onthewaytoschool,Emmabuysacartonoforangejuice for37pandonthewayhome,shebuysachocolatebarfor 28p.Ifshedoesthiseveryschoolday,howmuchwouldshe spendinaweek?
Circletheratioequivalentto36:216
1:8 1:4 1:6 18:107 9:52
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Tuition For You 11+ Mathematics Practice Test 1
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13cm
2x+4
4x+3
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Thepiechartshowshowpupilstraveltoschool.How manycomebybusif380pupilswerequestioned?
Abookshelfholds26booksanditis338mminlength.Whatisthewidthofeachbook?
Write0.16asafractioninitssimplestform:
Whatpercentageofthisshapeisshaded?
Anumbermachinemultipliesby6andthensubtracts27.Whatnumbercomesoutif79goesin?
Asmallchocolatebarcosts12pandalargebarcosts22p.Ibuyoneofthecheaperbarsand8oftheothers.How muchchangewillIgetfrom£10?
Fillinthemissingnumber:
Whatistherangeofthissetofnumbers?
14 12 8 17 19 3 24
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Tuition For You 11+ Mathematics Practice Test 1
Bus90o
Car120o
Train60o
Walk45o
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196 186 176186 176176 166 156
Whatistheperimeterofthisshape?
Whichnumberisacubenumber?
6 12 27 36 49
Threelinesaredrawnonagridandmakethisshape.Iftheselinesarereflectedinthex-axis,whatshapewoulditmake?
Underlinethestatementswhichhasacertainchanceofhappening?
ItwillraintomorrowSchoolwillbeclosedtomorrowChristmasdaywillbeonthe26thDecember1stJanuarywillbeNewYear’sDayIwillgoshoppingonSaturday
Iget£5pocketmoneyeveryweek.HowmuchwillIgetinayear?
Thereare60CDsinmycollection.2/10areclassical,1/2arejazzandtherestarepop.Howmanyarepop?
Year7aregoingonaschooltrip.Itcosts£21.00forateacherbutforachildthereisa£5reduction.Thereare50pupilsandtheremustbeoneteacherforevery10pupils.Howmuchwilltheschoolhavetopayforthetrip?
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Tuition For You 11+ Mathematics Practice Test 1
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2cm
4cm3cm
Whatistheareaofthiscompoundshape?Statetheunits:
Thistableshowstheresultsoftheschool’sfootballteamlastseason.Howmanymatchesdidtheynotlose?
Thereare32pensinabox.Iftheschoolneeds516pens,howmanyboxesshouldtheybuy?
Howmanyminutesaretherein2hours?
Howmanydaysarethereinonefifthofayear?
Find angle P (it is not drawn to scale)
Howmanylinesofsymmetrydoesthisshapehave?
10%ofthisshapeneedstobeshaded.Howmanydegreesisthis?
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Tuition For You 11+ Mathematics Practice Test 1
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Won Draw Lost9 4 35 2 27 3 3
8cm
4cm
3cm
6cm
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80o
P
34/
Iftheareaoftherectangleis15cm2,whatistheareaofthetriangle?
Amapusesascaleof2cm:1km.Aroadhasbeendrawn5cmlongonthemap.Whatisthereallengthoftheroad?
Underlinetheshapewithrotationalsymmetry,order4:
Inasurveyof48people,6/8ofthempreferredfishandchipsfordinner.Howmanyisthis?
Amyhas57p.Shehas6coins,whatcouldthesecoinsbe?
Whatisthenextprimenumberafter19?
Underlinetheanswerequalto4cubed:
82 34 3x3x3x3 4+4+4 4x3
Tomranaracein2minutes.Howmanysecondsisthis?
Circlethenumberthatisdivisibleby3and6:
36 9 63 136 34
Giveananglesizethatcouldbeclassifiedasanobtuseangle:
Whatdoesthedigit7representin107631?
7700 7000 70 7631 7
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Tuition For You 11+ Mathematics Practice Test 1
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Abagof8identicalapplesweighs1kg.Threequartersoftheapplesareeaten.Howmuchdoesthebagweighnow?
Whatis0.0032x100?
Circlethetwonumbersthathavethesamevalue:
5.16 5.60 5.160 5.06 5.7
Simplifythisequation:2a+3b–4a–7b=5
Thebusleavestheshopsat09:15butIarrived27minuteslateandmissedthebus.WhattimedidIarriveattheshops?
Iweigh40.2kg,includingmy700gcoat.Whatismybodyweight?
Theperimeterofarectangleis30cm.Ifthelengthoftherectangleis12cm,whatisthearea?
Istandfacingnorth.Iturn90oclockwise,180oanti-clockwisethen45oclockwise.WhatdirectionamIfacing?
Iftheprobabilityofitrainingis0.45.Whatistheprobabilityofitnotraining?
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End of Maths Test 1
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Drawoutanumbermachineandthendoinverse(opposite)operations:
?→ ÷ 2→+4→10.5 inverse:10.5→-4→x2=
Donotguessmultiple-choicequestions,workouteachanswer:
1/2of50=25 toomany1/3of50=approximately16 toomany1/4of50=12.5 only0.5out1/5of50=10 toosmall1/6of50=approximately8 toosmall
Areaofaparallelogramisthesameastheareaofarectangle:
LengthxWidth=13cmx7cm=
Perimeteristhetotaldistancearoundtheoutsideedge.Youneedtoaddupallthesides:
2x+4+4x+3+2x+4+4x+3
Simplifybyaddingupthex’sandnumbers=
Thesefactsneedtoberemembered:1/10=0.1so
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Tuition For You 11+ Mathematics Practice Test 1
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1/4
12x + 14
7/10 = 0.7
91cm2
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Maths Test 1 Answers & Working
0.16canbewrittenas16/100Thiscanbesimplifiedbyfindingacommonfactororbycontinualhalving:
16/100=8/50=4/25
Thereare3trianglesshadedoutof6:
3/6=1/2andyouneedtoknowthat1/2= Drawoutthemachine,butnoneedfortheinversethistime.Wearetoldwhatnumbergoesin,sojustworkouttheoutput:
79→x6→-27→
Onecheaperbar=12p8oftheothers=8x22p=£1.76
Total=£1.76+12p=£1.88Change:£10.00-£1.88= Eachrowandcolumndecreasesby10so176-10=
Range:Differencebetweenbiggestandsmallest:24-3=
Perimeteristhetotaldistancearoundtheoutsideedge.Addcmunitstotheadditionofthesides;3cm+6cm+2cmetc
Weneed:3+6+2+4+4+2+6=
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Tuition For You 11+ Mathematics Practice Test 1
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Maths Test 1 Answers & Working
4/25
50%
447
£8.12
166
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27cm
Foroneday,shespends37p+28p=65p.Thereare5daysinaschoolweek(not7)Weneed65px5=
Tosimplifyratios,weneedtodividebyacommonfactor.Thecommonfactorof36and216is36
36÷36=1 216÷6=6 soratiois Youneedtoknowthat90degreesis14/ ofacircle(360degrees)Wewant14/ of380pupilsTofindafractionofanumber,wedividebythedenominator380÷4=
Weneedtodividethelengthofthebookshelfbythenumberofbooks:338÷26=
£3.25
95 pupils
13mm
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1:6
Workoutthefractionthatispop:Classical=2/10 Jazz=1/2=5/10 Pop=3/103/10of60CDs:dividebythebottomandmultiplybythetop:
1/10=60÷10=6 3/10=6x3= Workoutthepriceofapupil:£21.00-£5.00=£16.00Workouthowmanyteachersaregoing:50/10=5teachers5teachers=5x£21.00=£105.00 50pupils=50x£16.00=£800.00 Totalcost:teachers+pupils=
BothshapesarerectanglessouseArea=LengthxWidth
(3cmx6cm)+(4cmx8cm)=18cm2+32cm2=
Weareinterestedinhowmanytheydidn’tlose:Addupthenumberofmatchestheywonanddrew:
9+5+7+4+2+3=
Straightforward:516÷32=16.125(buy17boxes,16isnothaveenough)
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Tuition For You 11+ Mathematics Practice Test 1
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Maths Test 1 Answers & Working
18 CDs
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Acubenumberisanumbermultipliedbyitselfandthenmultipliedbyitselfagain:2cubed:2x2x2=8.Itcanbewrittenas23Learnthefirstfew:1cubed=1x1x1=1 4cubed=4x4x4=642cubed=2x2x2=8 5cubed=5x5x5=1253cubed=3x3x3=27
Youneedtoknowthatthex-axisisthehorizontalline---------Ifyouputamirrorontheline,youwillseea6-sidedshape
Certainmeans100%chanceofhappening.Theonlyonethatiscertain:
Needtoknowthatthereare52weeksinayear£5x52=
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Hexagon
1st January will be New Year’s Day
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Needtorememberthatthereare360oinacircle:
Tofind10%,weneedto÷by10 360÷10= Theareaofatriangleisalwayshalfthatofarectangle
Theformulaforatriangleis(basexheight)÷2 15cm2÷2= Firstfindwhat1cmisequalto:2cm=1km1cm=0.5kmor500m5cmis5x0.5km=
Rotationalsymmetrymeansthatasashapeisrotatedthrough360o itwilllookexactlythesameasbeforeitwasrotated.Fororder4,itmustlookexactlythesameforevery90°rotation.Theonlyshapethatfitsthiscriterionis:
6/8=3/4whichiseasiertoworkout:3/4of48is:48÷4=1212x3=
Possibilitiesare:
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Tuition For You 11+ Mathematics Practice Test 1
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Maths Test 1 Answers & Working
7.5cm2
2.5km or 2500m
20p, 10p, 10p 10p, 5p, 2p20p, 20p, 5p, 5p, 5p, 2p
50p, 2p, 2p, 1p, 1p, 1p etc
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Needtoknowthereare60minutesinonehour.
2hours=60x2=120minutes 3 4/ hour=45minutes120+45=
Needtoknowthereis365daysinayear.Tofind1/5,divideby5: 365÷5=
Thetriangleisanisoscelestriangle:2sidesand2anglesarethesame.Anglesinatriangletotal180degrees:180-80=100o 100÷2=50o Eachmissingangleinthetriangleis50o
Anglesonalinealsototal180o so 180-50=130o Rememberalineofsymmetryisalinethatcutstheshapeinto2piecesthatareamirrorimageofeachother:
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165 minutes
73 days
5 lines of symmetry
p = 130o
36o
The7isinthethousandscolumnsoitrepresents
Oneappleweighs1000g÷8=125g.¾havebeeneaten=6/8whichis6outof8apples
Whenwemultiplyadecimalby100,movethedecimalpoint2placestotheright:
Imaginethesenumbersrepresentmoneyandrememberthatanyzerosontheend(righthandside)canberemoved:
5.160isthesameas5.16(£5.16)
Collectthe‘like’terms:Imaginearepresentsapplesandbforbananas:
Wehave2a-4a=-2a and3b-7b=-4b 09:15+27minutes= Rememberthereare1000ginakg40.2kg=40200g
Subtracttheweightofthecoat:40200g-700g=
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Maths Test 1 Answers & Working
7000
250g
0.32
5.160 and 5.16
09:42
39500g or 39.5kg
-2a -4b = 5
Rememberthataprimenumberisanumberthatcanonlybedividedby1anditself,withnoremainder.
After19comes23as23onlyhasfactorsof1anditself(1x23=23) 4x4x4=64whichisthesameas8x8
Thereare60secondsinoneminuteso2minutes=120seconds
14/ minute=60÷4=15sec120+15= Theonlynumberthatcanbedividedby3andby6withnoremainderis
Anobtuseangleisbiggerthan90oandlessthat180o
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Any angle between 91o and179o would be acceptable
135 seconds
Ifonelengthis12cm,bothlengthstotal24cmBothwidthsneedtototal6cmtohaveaperimeterof30cm6cm÷2=3cm(tocheck:12+12+3+3=30cm)
Areaofarectangle=LengthxWidth=12cmx3cm= Rememberthecompassdirectionrhyme:NeverEatShreddedWheat
FromNorth,90oclockwiseturn=EastFromEast,180oanti-clockwise=WestFromWest,45oclockwise(12/ arightangle)=
Probabilitiesalwaysaddto1:
0.45+0.55=1
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Tuition For You 11+ Mathematics Practice Test 1
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Maths Test 1 Answers & Working
36 cm2
0.55
North-Westor NW
End of Answers and Working to Maths Test 1