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Alternative Education Equivalency Scheme (AEES)
YEAR 10 GENERAL MATHEMATICS
Practice TestVersion 01
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01
Page 3 of 20
Practice Test Instructions 1. Thereare30questionsinthisPracticetest(and30questionsinthefinaltest).
2. TherearefivealternativeanswersmarkedA,B,C,DandEforeveryquestion.
3. EveryquestionhasonlyONEcorrectanswer.
4. Enteryouranswerselectionontheanswersheetprovidednexttothequestionnumber.
Example:
Question 1. 4 + 3 =
a. 8b. 6c. 9d. 7e. 5
Thecorrectansweris7whichisprintednexttoD.
Enter‘D’ontheAnswerSheetnextto‘Question1’asfollows:
Question 1. D
Question 2.
5. Makesureyoumarkyouransweragainstthecorrespondingquestionontheanswer sheetprovided,especiallyifyouskipbetweenquestions.
6. Giveyourself30minutestocompletethePracticeTest(asthereare30minutesinthe finaltest).
Wesuggestsettingupatestenvironmentandtimingyourselfsoit’ssimilartothefinal test.
7. Donotwastetimeifyoudonotknowtheanswer.Moveontothenextquestionandifyou havetimeattheendofthetest,gobacktothequestionsyouskipped.
8. Workasquicklyandaccuratelyasyoucan.
9. Westronglyrecommendusingasilent,batteryoperated,non-programmable scientific calculator.Toobtainanaccurateresult,no other resource or device should be used for this Practice test. 10. FormulaeareprovidedatthestartofthePracticetest(andinthefinaltestbooklet).
11. Diagramsarenotnecessarilydrawntoscale.
10. Afteryoufinishthetest,usetheAnswerKeyprovidedtocheckyouranswers.
11. ThescoreyouachieveonthePracticetestisanindicationonlyofhowyoumayperform onthefinaltest.
12. ThePracticetestscorecannotbeusedinplaceofsittingthefinaltest.
13. ThetopicslistedontheAnswerKeycangiveyouanindicationoftheareasyoucan improve.
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01
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FORMULAE SHEETThefollowingformulaemaybeusedinyourcalculations:
Area and volume• Areaofrectangle=length x width• Areaoftriangle=½ base x height • Volumeofanyregularprism=Area of base x height
Theorem of Pythagoras• Inanyright-angledtriangle:c2 = a2 + b2
Temperature conversion formulaDegreesCelsiustodegreesFahrenheit:
• ºF = (ºCx1.8)+32
TrigonometryInanyright-angledtriangle:
sinθ=opposite
hypotenuse
cosθ=adjacent
hypotenuse
tanθ=oppositeadjacent
Growth and decay formulae• Simplegrowthordecay:A = P(1± ni)• Compoundgrowthordecay:A = P(1± i)n Where:
A=amountattheendofnyears
P=principal
n=numberofyears
i=interestrateperyear,r% = r
100
c b
a
Opposite side Hypotenuse
Adjacent side
θ
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01
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Question 1 Whichlisthasthenumbersinorderfromgreatest to leastvalue?
a. 2.58 2.5 2.08 2.8 2.508 b. 2.8 2.508 2.08 2.5 2.58 c. 2.5 2.58 2.508 2.08 2.8 d. 2.8 2.58 2.508 2.5 2.08 e. 2.8 2.508 2.58 2.5 2.08
Question 2 Writtenasamixednumber 329
is:
a. 3 59
b. 3 29
c. 4
d. 5 13
e. 932
Question 3 Asapercentage 512
is:
a. 48.5% b. 41.7% c. 45% d. 58.3% e. 36.5%
Question 4 Thelabelona600mlshampoobottlestatesthatthereisenoughshampoofor 80washes.Approximatelyhowmuchshampoohasbeenallowedforeachwash?
a. 7mlb. 9 mlc. 48mld. 70mle. 80ml
Question 5 1.3km+200m+200cm=
a. 1322mb. 1502mc. 1520md. 1401me. 1700m
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01Page 8 of 20
Question 6 Thefloorofarectangularroom12mx6mistobetiled.Thetilestobeusedare rectangularwithdimensions60cmx30cm.Thenumberoftilesrequiredis:
a. 200 b. 300 c. 360 d. 400 e. 720
Question 7 Ifa = 5 and b = 6 then 3ab =
a. 30 b. 14c. 90 d. 105e. 33
Question 8 Danamultipliedanumberby5.Thenshemultipliedtheresultby3.Thenshemultiplied thisresultby2.Herfinalanswerwas
a. twicetheoriginalnumberb. 10timestheoriginalnumberc. 16timestheoriginalnumberd. 20timestheoriginalnumbere. 30timestheoriginalnumber
Question 9 If10workersplantoutagardenin3days,6workerswillcompletethesameplantingtask, workingatthesamerate,inhowmanydays?
a. 6daysb. 1.8daysc. 5daysd. 7dayse. 3days
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01
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Question 10 is notequalto
a. b. c. d. 8e.
Question 11 (3 × 1010)×(2.4×1012)=
a. 5.4 × 10120 b. 7.2 × 1022
c. 7.2 × 102
d. 7.2 × 10120
e. 5.4 × 1022
Question 12 Thenumber0.000000617writteninscientificnotationandroundedto2significant numbersis
a. 6.1 × 10-7
b. 6.17 × 109
c. 0.62 × 10-6
d. 6.2 × 10-7
e. 6.17 × 10-9
Test continued on the next page
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01Page 10 of 20
Question 13 Determinethevolumeofthegiventriangularright-prism.
a. 460cm3
b. 960cm3
c. 240cm3
d. 272cm3
e. 480cm3
Question 14 Ifanathleteisabletosprint100metresin10seconds,theaveragespeedoftheathlete is:
a. 36km/hb. 36m/sc. 6km/hd. 60km/he. 38km/h
Question 15 Abushwalkerwalks3kmsouththen2kmeastandfinally5kmnorth.Thebearingofthe bushwalkerfromherstartingpointis:
a. Nb. NWc. NEd. N30°We. SE
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01
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Question 16 The distance (sinkm)ofacarfromMelbourneasittravelsontheM31toAlburyisgiven
bys = 60t + 46 (tinhours).Ifittakesthecar4 14
hourstoreachAlbury,howfaris AlburyfromMelbourne?
a. 255kmb. 295kmc. 300kmd. 316kme. 301km
Question 17. Theformulathatdescribestherelationshipbetweenthevariables,x and yinthetable,is:
x 0 1 2 3y 2 3 6 11
a. y = x + 2b. y = x2 + 2c. y = ½x2 + 4d. y = 3x + 2e. y = 2x2 + 2
Question 18. Ifthetotalcost$CiscalculatedasC=13 n,wherenisthenumberofitemspurchased,
thenthegraphrepresentingthissituationis:
a. Line 1 b. Line 2 c. Line 3 d. Line 4 e. Line 5
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01Page 12 of 20
Question 19 Ralphandhisbrother,Charles,havetoshare$140inthesameratioastheirages. DetermineCharles’shareifRalphisexactly15yearsoldandCharlesis13yearsold.
a. $70.00b. $68.50c. $60.00d. $62.00e. $65.00
Question 20 FromNovembertotheendofFebruary,theaveragewaterconsumptionofafamilyis 56.46kLpermonth.FromMarchtoOctober,theiraverageconsumptionis43.78kLper month.Calculatetheiraveragemonthlywaterconsumptionforthatyear.
a. 48.01kLb. 50.12kLc. 49.99kLd. 57.61kLe. 100.24kL
Question 21 Ifyouinvest$500.00atafixedrateof10%compoundinterest,compoundedyearly,how muchinterestwillyouhaveearnedafter3years?
a. $150.00b. $665.50c. $165.50d. $155.50e. $160.50
Question 22 Theworkastudentdoesinclasscontributes75%tohisfinalmark.Atestcontributesthe other25%.Thestudentgetsamarkof52%forhisclasswork.Whatmarkmusthegetin thetestsothathisfinaloverallmarkis60%?
a. 68% b. 80% c. 96% d. 81% e. 84%
Test continued on the next page
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01
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Question 23 Ifthe‘originalfigure’shownbelowisreducedinsizebyafactorof 34
thentheresulting figureis:
a. Figure1b. Figure2c. Figure3d. Figure4e. Figure5
Test continued on next page
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01Page 14 of 20
Question 24 WhichoneofthefollowingtrianglesissimilartotriangleABC?
a. triangleDEFb. triangleGHIc. triangleJKLd. triangleMNOe. trianglePQR
Test continued on next page
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01
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Question 25 Thegraphshowsthedistanceanobjectmovesduringatimeinterval.Whichstatement aboutthemovementoftheobjectiscorrect?
a. BetweenAandBtheobjecttravelsat150km/h.b. BetweenDandEtheobjectisslowingdown.c. Theobjectisinmotionthroughouttheentiretime.d. Thetotaldistancetravelledis200km.e. BetweenDandEtheobjecttravelsat100km/h.
Question 26 Davecycledfor30minutesat24km/handthencontinuedtowalkfor20minutes.Inall hecovered14km.Atwhatspeeddidhewalk?
a. 6.8km/hb. 4km/hc. 6km/hd. 2.5km/he. 2km/h
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01Page 16 of 20
Question 27 Acable,50mlongfromthetopofawind-turbinetoweris30mfromthefootoftheturbine onthesamehorizontallevel.Determinetheheightofthetower.
a. 36mb. 48mc. 45md. 40me. 44m
Question 28 Afairdiceisrolled6timeswiththefollowingoutcomes:1,1,3,4,2,1.Thelikelihood ofrollinga6withthe7throllis:
a. 16
b. 14
c. 23
d. 13
e. 12
Test continued on the next page
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01
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Question 29 Thisgraphisshowingtherainfallinmmperdayforaweek.Thetrendcanbedescribed as:
a. anincreasingdecreaseb. anincreasingincrease c. a constant increase d. adecreasingincrease e. adecreasingdecrease
Question 30 ThestrawberriesintwopunnetsAandBareweighed(ingrams)andtheresultsare showninthetablebelow.
WeightsofstrawberriesinPunnetA(ingrams)
23,21,14,21,12,15,22,17,18,10,12,15
WeightsofstrawberriesinPunnetB(ingrams)
24,22,10,11,14,1615,22,14,18,16,12
Whichstatementiscorrect?
a. ThenumberofstrawberriesinPunnetAisgreaterthaninPunnetB.b. Thereare10strawberriesinPunnetA.c. ThecontentsofPunnetAweighlessthanthoseinPunnetB.d. ThemeanweightofstrawberriesinPunnetBis194grams.e. ThemeanweightofstrawberriesinPunnetAis16.67grams.
END OF TEST
Alternative Education Equivalency (AEE) AssessmentsYear 10 General Mathematics - Version 01Page 18 of 20
Year 10 General Mathematics Practice Test: Answer Key
Question # Answer Topic AreaQ 1. D workingwithnumbers
(fractions,decimals,percentages)Q 2. A workingwithnumbers
(fractions,decimals,percentages)Q 3. B workingwithnumbers
(fractions,decimals,percentages)Q 4. A workingwithnumbers(computations)
Q 5. B calculatemeasurements
Q 6. D area(shapes)
Q 7. C patternsandalgebra
Q 8. E patternsandalgebra
Q 9. C ratioandscalefactors
Q 10. A workingwithnumbers(computations)
Q 11. B applyindexlaws
Q 12. D scientificnotation
Q 13. E volume
Q 14. A workingwithnumbers(rates)
Q 15. C workingwithnumbers (location&direction)
Q 16. E patternsandalgebra
Q 17. B patternsandalgebra
Q 18. A linearandnon-linearrelationships
Q 19. E ratioandscalefactors
Q 20. A workingwithnumbers(computations)
Q 21. C moneytransactions
Q 22. E workingwithnumbers (fractions,decimals,percentages)
Q 23. C ratioandscalefactors
Q 24. C space:symmetry
Q 25. E patternsandalgebra
Q 26. C workingwithnumbers(rates)
Q 27. D pythagorasandtrigonometry
Q 28. A chance
Q 29. B datarepresentationandinterpretation
Q 30. E datarepresentationandinterpretation
© 2011 Vocational Education and Training Assessment Services - Level 5, 478 Albert Street, East Melbourne Victoria 3002.
All rights reserved. No part of this test may be reproduced without written permission from VETASSESS.
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