year 7 mathematics examination semester 2 2019 …
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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
ATTHEENDOFTHEEXAMINATIONAttachanyextrasheetsusedtothisQuestion/Answerbooklet.
IMPORTANTNOTETOCANDIDATESNootheritemsmaybetakenintotheexaminationroom.Itisyourresponsibilitytoensurethatyoudonothaveanyunauthorisednotesorotheritemsofanon-personalnatureintheexaminationroom.Ifyouhaveanyunauthorisedmaterialwithyou,handittothesupervisorBEFOREreadinganyfurther.
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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