YEAR 7 MATHEMATICS EXAMINATION SEMESTER 2 2019 …

YEAR7MATHEMATICSEXAMINATIONSEMESTER22019

QUESTIONANDANSWERBOOKLET

STUDENTNAME:

TEACHER:

DATE:

TIMEALLOWEDFORTHISPAPERReadingtimebeforecommencingwork:10minutesWorkingtimeforthispaper:90minutesMaterialtobeprovidedbythesupervisor:• ThisQuestion/AnswerBooklet

Materialtobeprovidedbythecandidate:• Pen/pencilforansweringquestions.• Erasingstationery.• Uptotwoscientificcalculators.• WrittennotesononeunfoldedA4sizedpaper;canbedouble-sided.

TOTALQUESTIONS:63TOTALMARKS:130

Section1:NON-CALCULATOR

50Minutes

33questions,65marks Section2:CALCULATOR

50minutes

30questions,65marks

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Donotturnthispageuntilyouareaskedto.

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Section1:NON-CALCULATOR(TotalMarks65)1.[1mark]Whatisthemedianofthefollowingnumbers? 2, 2, 3, 3, 6, 7, 5, 3, 8

�6�3�5�nomedian

2.[1mark]Inwhichoftheseequationsdoes𝑚 = 7?

�3𝑚 – 6 = 9�12 – 2𝑚 = 32�𝑚 + 5 = 25�2𝑚 – 6 = 8

3.[1mark]

Aliketermfor22𝑐is:

� 16�16𝑎𝑏𝑐

� 37𝑐 �5𝑎

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4.[1mark]

Whatisthevalueof𝑎and𝑏?

�a =125! and b = 55! �b =125! and a = 55! �a =125! and b =125!

� a = 55! and b = 55!

5.[1mark]

HowmanyaxesofsymmetrydoesfigureEhave?

�4�6�8� Infinitenumber

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6.[1mark]

16+ −3 + (−5)isthesameas: �16− 3 + 5 �16 – 3+ 2 �16− 8 �16− 3+ 157.[1mark]

Solve!!= 17: �!"

!

�8.5�34�54

8.[1mark]Theratioofgirlstoboysatapartyis5:4.Ifthereare20girlsintheclass,howmanyboysarethere?

�16�28�24�12

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9.[1mark]Considerthedotplotgiven.Fromwhichscorecanadotberemovedsothatthemean,medianandmoderemainunchanged?

�200�250�300�350

10.[1mark]

Thelinegraphshowstheamountofpetrolinacar’stank.

Whathappenedat9amand1pm?

� Thedriverfilledthetank.

� Theamountofpetrolbeingusedincreased.

� Theamountofpetrolbeingusedincreased.

� Thecarwastravellingatafastspeed.

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11.[1mark]

ThegraphgivenshowsthemedianhousepricesperquarterforthefouryearstoSeptember2013.

Therangeofpricesoverthefouryearperiodisapproximately:

�$200000�$400000�$300000�$100000

12.[1mark]Whichofthefollowingpairsofanglesaresupplementary?

�98°, 98°�23°, 67°�119°, 151°�105°, 75°

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13.[1mark]Ifthevalueof𝑎=15andthevaluefor𝑏=7thenwhatwouldbetheanswerto𝑎+3×𝑏? �55

�57

�36

�46

14.[1mark]Whichofthefollowingstatementsisincorrect?

�−3 > −8� 0 < 1�0 < −2�−1 < 4

15.[1mark]

Whichsetofnumbersisinascendingorder? �0, 7, 2, 5�13, 12, 11, 10�−10,−9, 8, 17�2,−3, 7, 15

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16.[2mark]When$240isdividedintheratio5:7,theresultis: 17.[1mark]Oneextranumberisaddedtothedataset20,16,50,10andthiscausesthemeantochangeto20.Whatisthenumber?

18.[2mark]Whatisthevalueof𝑎?

19.[2mark]Melindanoticesthatthreeoutofeverytenpassingcarsarered.Whatpercentageofcarsthatpassarenotred?

20.[2mark]Solvethefollowing: 𝟔𝟑 = 𝟗+ 𝒅

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21.[4mark]Simplifythefollowingbycollectingliketerm: a) 8𝑛 + 3− 2𝑛 + 9b) 5𝑔 + 13+ 7𝑔 − 3𝑔 + 8

c) ℎ + 4− 4ℎ + 11

d) 14𝑦 + 14𝑦 − 7𝑦 + 9

22.[2mark]Dariais5yearsolderthanherbrotherJamesandthesumoftheiragesis35years.HowoldisJames?

23.[4mark]Fortheexpression−3𝑥 + 12𝑦 + 𝑧 + 5,state:

a)Thecoefficientof𝑥b)Thecoefficientof𝑦.c)Thenumberofterms.

d)Theconstant

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24.[4mark]Withoutusingaprotractor,findthevalueofeachunknownangleinthefollowingdiagrams.Giveareasonforeachanswer. a)

b)

z=__________

b=__________

25.[3mark]

Thefollowingtableshowsthenumberoftrainsarrivingeitherontimeorlateataparticularstation.

a) How many trains were late on Friday?

b) How many trains passed through the station on Wednesday?

c) How many trains were on time throughout the entire week?

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26.[3mark] BradandJackdosomefundraisingfortheirsportingteam.Togethertheyraised209dollars.IfBradraisedmdollars,andJackraised73dollars:

a)Writeanequationthatrepresentstherelationshipbetweentheamountseach

contributed.(Notethatwearenotlookingtosolveformyet.)

b)Now,findm.

27.[3mark]Writethecoordinatesofeachpointbelow. A:___________B:___________C:___________D:___________

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28.[2mark]Writeanequationtosuitthefollowingproblemandthensolvetheequation.Sammultipliedanumberby5,subtracted11andthendividedby2.Hisfinalanswerwas19.Whatwashisoriginalnumber?

29.[2mark]Judycompletesadive8mbelowsealevel;shecomesup1mevery3seconds.After15seconds,whatpositionwillshebeat?

30.[2mark]Writeasanequationandstatethevalueof𝑎.

31.[2mark]Lucyspent$11.35atafastfoodshop.Howmuchchangedoesshereceivefrom$50?

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32.[4mark]Calculatetherange,mean,medianandmodeforthefollowingsetofdata:

11, 11, 25, 12, 16, 18

a) Range:

b) Mean:

c) Median:

d) Mode:

33.[4mark]WritethelettersA,B,C,Donthegraphbelowtomatchthecoordinatesgiven:

A:(2,2)B:(-3,-2)C:(6,-3)D:(-4,3)

STOP–ENDOFSECTION1–NON-CALCULATOR

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Section2:CALCULATORALLOWED(Total-Marks65)

1.[1mark]Therangeofthenumbers8,11,3,9,12,41,57is

�40 �54 �12

�49

2.[1mark]Anegativenumbermultipliedbyanegativenumberequals:

�anegative�zero

�apositive �itdependsonthenumbers

3.[1mark]ThetemperatureinsideMrsMac’sclassroomis-3°C.Afterheatingtheroomfor2hoursthetemperaturerisesto11°C.Howmuchhasthetemperaturechanged?

�11°C �-8°C �14°C

�22°C

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4.[1mark]Michaelhasninebirds,sevendogsandeightcatsaspets.Theratioofdogstocatstototalnumberofpetsis?

�8:9:22�7:8:24

�9:8:24 �8:7:22

5.[1mark]If20dogseat60kgofmeat,howmuchmeatwould15dogseat?

�10kg�30kg

�45kg �0.3kg

6.[1mark]Thesumoftheinterioranglesofarectangleisalways: �360° �180° �90° �noneoftheabove

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7.[1mark]Aidenhasaslotcarsetandwantstoextendhistrack.Heneeds7.3metresoftrack,whichwillcosthim$13.5permetre.Howmuchwilltheextensionscost?

�$50�$98.55

�$49.45 �$95.55

8.[1mark]John’smobilephoneplanchargesa25-centsconnectionfeeandthen15centsperminuteforeverycall.Ifacallcost2dollarsand20cents,howlongdiditlast?

�80seconds �4minutes �3minutes

�13minutes

9.[1mark]Anisoscelestrianglehasaperimeterof625mm.Ifthebaseis125mm,findthelengthoftheothertwosides.

�250mm�234mm�520mm�125mm

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10.[1mark]If𝑎 = 5and𝑏 = −3,findthevalueof𝑎! + 𝑏!

�−17�20�34�50

11.[2mark]Gavinmows75%ofthelawnin42minutes.Howlongwillittakehimtomowtheentirelawnifhemowsataconstantrate?

12.[ 12 , 12 , 12 , 12 = 2mark]Usetherule𝑦 = 𝑥 + 6tocompletethetableofvaluesbelow.

x 2 4 8 12

y

13.[2mark]Ethanhasadebtof$55onhiscreditcard.Hebuysanotheritemusinghiscreditcard,whichaddsanextradebtof$40.Attheendofthemonth$17ispaidback.WhatisthefinalbalanceonEthan’screditcard?Pleaseshowyourworking.

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14.[2,2,3=7mark]Calculatetheanswertothefollowing:

15+ 2×(−6)! 9! − 72÷ 12+ 11! 13 × 5÷ 9+ 7− 7! + 13! =

15.[2mark]Simplifybycollectingliketerms𝟓𝒂𝒃+ 𝟑𝟕𝒂− 𝟐𝒂𝒃+ 𝟏𝟎𝒂

16.[3mark]Whatisthemean(correctto1d.p.),modeandmedianofthefollowingdata?

41, 43, 43, 43, 45, 48, 51, 52, 55, 55 Mean: Mode: Median:

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17.[2mark]

If𝑚 = −4and𝑛 = 9,then𝒎𝒏–𝒏isequalto:

18.[2mark]

Enriquescoredamarkof 6280

onhisMathstest.Whatisthisasapercentage?

19.[3mark]Lookatthefollowingdiagramandstatewhichangleis: Alternatetou:____________________Correspondingtos:__________________Co-interiortov:_____________________

20.[2mark]Anumberisdoubledandthen13isadded.Theresultisthentripled.Ifthenumberisrepresentedby𝑘,thenwriteanexpressionforthisdescription.

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21.[4mark]Writethesefractionsintheirsimplestform.

a) !!"=b) !

!"=

b) !"!=d)!"

!=

22.[2mark]Theset3,7,9,10hasoneextranumberaddedtoit,andthiscausesthemeantobedoubled.Whatisthenumber?

23.[2mark]Simplifybygatheringtheliketerms:

22𝑝 + 12𝑚 + 9𝑝 + 12+ 4𝑚

24.[2mark]Calculatethevalueoftheunknownangle.

b=___________

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25.[6mark]

Tombeginsahillclimbat10am.Afterclimbingfor1hour,herests,thencontinueshisclimb.Hehaslunchthenreturnstothebaseofthehill.Thisinformationisshownonthetravelgraphbelow.

a) Whattimesarerepresentedbythefollowingletters?

i) A_________________ii) C_________________

b)HowlongdidTomfirstrestfor? c)Howmuchtimedidthehikeupthehilltake? d)Whatwasthedistancetravelleddownhill? e)Howlongwastheentiretrip,includingreststopsandlunch

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26.[2mark]

An18-caratgoldnecklaceismadeof55.5%gold,22.5%silverandtherestiscopper.Whatpercentageofthenecklaceiscopper?

27.[2mark]

Chelseawantstobuysometights.Onestoreissellingthreepairsfor$7.99or$2.99each.Chelseahas$35.20andbuysasmanypairsasshecan.

a)Howmanypairsoftightscanshebuy?

b)Howmuchmoneydoesshehaveleftafterwards?

28.[2mark]Findthevalueofthepronumeralsineachofthefollowingdiagrams.

n=___________p=____________

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29.[3mark]

Tomworksasalabourer,earning$25anhouronweekdaysand$60anhouronweekends.

a. Duringaparticularweek,Tomworks7:00amto2:00pmMondaytoThursday.Howmanyhoursdoesheworkthatweek?

b. HowmuchdoesTomearnforthiswork?

c. IfTomworks5hoursonSaturdayinthesameweek,whatishistotalincomefortheweek?

30.[2,2=4mark]Apatternisshownusingmatchsticks.

a)Howmanymatchsticksareneededtobuildthe4thterminthispattern?

b)Whichterminthispatternusesexactly86matchsticks?

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ENDOFEXAMINATION