50065 Maths Test1 (1)

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INSTRUCTIONS

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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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Tuition For You 11+ Mathematics Practice Test 1

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End of Maths Test 1

Hello!Hopefullyyouhaveusedouranswersandmarkedyourtest.Usethissectiontolearnthebestwaytocompletethetestintheshortesttime.Learnfromyourmistakes!

Goodluck!Fromyour

Personal Tutor

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

21

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

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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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Tuition For You 11+ Mathematics Practice Test 1

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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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82

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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