Mental Math Grade 9 Mathematics - Province of Manitoba · Mental Math Grade 9 Mathematics (10F) Substrand: Variables and Equations Specific Learning Outcome: 9.PR.3 General Questions

Mental MathGrade 9 Mathematics (10F)

Substrand: Variables and Equations Specific Learning Outcome: 9.PR.3

General Questions Answers

1. Whatnumbersatisfiestheequation49 27

x? x = 12

2. If35outof54studentsinGrade9participateinafter-schoolsports,howmanystudentsdonotparticipateinafter-schoolsports? 19students

3. IfyoubuyFrenchfriesthatcost$2.63witha$5bill,howmuchmoneywillyougetback? $2.37

4. Divideabillof$93equallyamong3people.Howmuchdoeseachpersonpay? $31

5. Simplify:12

25

÷54

114

or

6. Howmanycentimetresareequivalentto8km? 800000cm

Unit Questions

7. Solve:3x = 12 x=4

8. Solve:4x -2=18 x = 5

9. Solve:5x -6=4 x = 2

10. Solve:2(x -3)=8 x=7

Other Questions

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1. Evaluate:2+6´ 5 32

2. Paulsayshisannualsalaryisequaltothree-fourthsof$60,000. Whatishisannualsalary? $45,000

3. Whatistheareaofagymnasiumthatmeasures30mby50m? 1500m2

4. Damienis12yearsold.HiscousinRolandis18yearsoldandhisunclePatrickis30yearsold.WhatistheaverageageofDamien,Roland,andPatrick?

20years

5. Franciscogotamarkof4650onhissocialstudiesexam.Expresshis

resultsasapercentage.92%

6. Express35asanumberindecimalform. 0.6

Unit Questions

7. Isx = -3thesolutiontotheequation2x+6=12?Justifyyouranswer. No,since 2(-3)+6¹ 12.

8. Solve:x8

12 x=96

9. Solve:24

6x

x=4

10. Solve:3

6x

x 12

Other Questions

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1. Thereare9boysand13girlsintheclassroom.Whatistheprobabilityofrandomlychoosingagirl?

1322

2. Ifthebalanceofyoursavingsaccountis$80andyouwithdraw$43withyourdebitcard,howmuchmoneyisleftinyoursavingsaccount? $37

3. Jonathancantype40wordsperminuteonthecomputer.Afteronehour,howmanywordswillhetype? 2400words

4. Tristanhas256hockeycards.Erichastwotimesthatnumberofhockeycards.HowmanyhockeycardsdoesErichave? 512cards

5. Whatisthenextnumberinthefollowingpattern:56,50,44,38, ? 32

6. Express320asanumberindecimalform. 0.15

Unit Questions

7. Solve:3x=10+x x = 5

8. Solve:-2x = -8-3+5 x = 3

9. Whatistheoppositeofadding14? subtracting

14

10. Solve:2(x+2)=18 x=7

Other Questions

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1. Reducethefraction50450

.19

2. Ifthepriceofan$800canoeisreducedby25%,whatisthefinalpriceofthecanoe? $600

3. Howmanyminuteselapsebetween12:15p.m.and4:00p.m.? 225 minutes

4. Whatisthemedianofthefollowingsetofnumbers:1,6,8,and10? 7

5. Howmuchwilleachpersonreceiveif$640isdividedequallyamongeightpeople? $80

6. Howmanyweekswillittaketorepayadebtof$500ifyoumakepaymentsof$25/week? 20weeks

Unit Questions

7. Solve:0.7x+1.8x=10 x=4

8. Solve:x3

5 20+ = x=45

9. Findthevalueofxiftheperimeteroftherectangleshownmeasures46units.

��

�� x = 5

10. Isx=2thesolutionfortheequation2(x+3)+5x = 3x+14?Justifyyouranswer.

Yes,bothsides equal20.

Other Questions

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1. Add:$4.99+$0.99+$5.99 $11.97

2. Howmuchmoneywillyouearnpermonthifyouearn$24,000peryear? $2000

3. Express920indecimalform.

0.45

4. Whichofthefollowingfractionsissmaller: 49

15

or ?15

5. Ifyoursavingsaccountbalanceis$430andyoudepositachequefor$210,whatisyournewaccountbalance? $640

6. Ifyouarechargeda2%deliverychargeonanew$250bike,whatisthecostofthedeliverycharge? $5.00

Unit Questions

Solve and show your answer on a number line.

7. 2x ³4x ³ 2

�

�

8. -3x £ 15x ³ -5

�

��

9. 3+2x < x+5x < 2

�

10. 5- 5x>10-4xx < -5

��

Other Questions

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1. Waterbottlescost$1.30each.Howmanywaterbottlescouldyoubuywith$5.20? 4bottles

2. Evaluate:149 1

3. Write 28indecimalform. 0.25

4. Estimateatipof10%onabillof$48.75. »$5

5. Reducetheratio24:18toitssimplestform. 4:3

6. Whatnumberisfoundhalfwaybetween8and20? 14

Unit Questions

7. Whendividingbyanegativenumberonbothsidesofalinearinequality,whathappenstotheinequalitysymbol?

Itchangesdirection.

8. Youhave$5andwanttospendsomeofittobuyxbarsofchocolate,whichcost0.67¢each.Writeaninequalitythatrepresentsthis.

67x £500or0.67x £ 5

9. Ifx=2,then3x > 2x+3.Trueorfalse? False

10. Ifx = -2,then-2x+5>5.Trueorfalse? True

Other Questions

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1. Youarechargedadeliveryfeeof6%onthevalueofasofacosting$500.Howmuchareyourdeliverycharges? $30

2. Solve:18+w=30 w = 12

3. Ifthebalanceinyourchequingaccountis$410andyoudeposit$34.70,whatisyournewaccountbalance? $444.70

4. Howmanycentimetresareequivalentto49.4m? 4940cm

5. Alexspendsonehourreading22pagesofanovel.Atthisrate,howmanypageswillhereadin5hours? 110pages

6. Writethenumberequivalentto915indecimalform. 0.6

Unit Questions

7. Inthesolutiontoaninequality,explainthedifferencebetween x>5andx ³ 5.

x>5doesnot include5.x ³ 5 includes5.

8. Youhaveatmost$110tospendonanumberofpizzasthatcost$12each.Thedeliverychargeis$7.Writeaninequalitythatmodelsthissituation.

12x+7£ 110

9. Determinethemaximumnumberofpizzasyoucouldbuyandhavedeliveredasdescribedinquestion8. 8pizzas

10. Isx=1thesolutiontotheequation3(x+4)+2x<4x+9?Justifyyouranswer. No,17 13 .

Other Questions

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1. Atarestaurant,youwanttoleaveatipof15%onabillof$12.05.Estimatethevalueofyourtip. »$1.80

2. Add:23

16

56

3. Multiply:5´82´ 2 820

4. Whatistheperimeterofaschoolyardthatmeasures900mby300m? 2400m

5. Youtake2minutestocomplete3mathproblems.Atthisrate,howmanyminuteswillittakeyoutocompleteyourhomeworkifyouhave18problems?

12 minutes

6. In280days,KamalistravellingtoAsia.Howmanyweeksuntilsheleaves? 40weeks

Unit Questions

What name do you give to each of the parts of the expression 4x2 + 8?

7. 4 coefficient

8. x variable

9. 2 exponent

10. 8 constant (orterm)

Other Questions

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1. Ifyoursavingsaccountbalanceis$240andyoumakeawithdrawalof$42,whatisyournewaccountbalance? $198

2. Evaluate:31.54´10 315.4

3. Express457asanimproperfraction.

337

4. InyourFrenchclassof20students,18havealreadyreadtheplay Les Misérables.Whatfractionofstudentsdoesthatrepresent?

910

1820

or

5. Whichisthebetterbuy:6doughnutsfor$2.75or12doughnutsfor$5? 12doughnutsfor$5

6. Multiply:35

23

´25

Unit Questions

7. Ifxisyourcurrentage,writeanexpressionforyouragein10years. x+10

8. One-quarterofanumberequals3.Expressthisinanequation. x4

3

9. Writeanexpressiontodescribetheperimeterofthetriangleshownontheright.

��

��

��3x+7

10. Howmanytermsareintheexpression4x3 -8x+6y? 3 terms

Other Questions

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12.

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1. Evaluate:6´0´ 5 ´245 0

2. Nadiais17yearsyoungerthanRiley.IfRileyis35yearsold,whatageisNadia? 18yearsold

3. Thepriceofa$420stereoisreducedby20%.Whatistheamountofthereduction? $84

4. Ifyouwork12hoursatanhourlyrateof$6perhour,whatisyourtotalpay? $72

5. Convert1cm2toanequivalentamountinmm2. 100mm2

6. Whichofthefollowingfractionsissmallest:1345

613

, , ?13

Unit Questions

7. Identifytheconstantintheexpression8x -16+3y. -16

8. Writeanequivalentexpressionto2 12

x .

Examples:

xx

1

24 24

or

9. Identifythelike-term(s)to3xamongstthefollowingterms: -2x 6x2 3y -2x

10. Writeanexpressiontodescribetheperimeterofthetriangleshownontheright.

�

��

�x+y+4

Other Questions

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1. Cecilswims25lengthsofthepool3timesaweek.Howmanylengthsofthepoolwillheswimin10weeks? 750lengths

2. HowmuchGST(5%)doyoupayonapurchaseof$5? $0.25

3. Whattwoconsecutivenumbershaveaproductof12andasumof7? 3and4

4. Estimatethesalepriceonan$89.95baseballgloveifitisonsalefor10%off. »$81.00

5. Estimatethevalueoftheproductof42and38. »1600

6. Estimatethesquarerootof80. »9

Unit Questions

7. Simplify:3x -7x -4x

8. Simplify:x+3x+6x 10x

9. Simplify:4x+5x - 2x - x 6x

10. Whichterminthepolynomial,3x - 5x2+6,hastheexponentwiththehighestdegree? -5x2

Other Questions

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1. Ifyoubuy4boxesofcerealat$2.99perbox,whatisthetotalcostofyourpurchase? $11.96

2. Writeanexpressiontorepresentthesumofxanditssquare. x+x2

3. Whatisthemaximumnumberofpeoplethatcouldeatatthesametimeinarestaurantwith32tableslargeenoughtosit4people? 128people

4. InaGrade9classwith65students,20%wearglasses.Howmanystudentsdoesthatrepresent? 13students

5. Simplifythefraction1216.

34

6. Asweaterthatcosts$48isonsalefor10%off.Findthesaleprice. $43.20

Unit Questions

7. Simplify:(2x+6)-(5x -4) -3x +10

8. Simplify:4x+5+8x2+3x -4-10x2 -2x2+7x+1

9. Simplify:3x2+3x+3-(2x2+4x+2) x2 - x+1

10. Findthebinomialthatismissing:(3x+1)+( ) = 2x+3 -x+2

Other Questions

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1. Ifaherdof32sheepjoinaherdof62cows,howmanyanimalsarethereintotal? 94animals

2. Ifyoupayforamealof$11.35witha$20bill,howmuchmoneywillyougetback? $8.65

3. Inalakethatcontains560fish,290werecaught.Howmanyfisharestillinthelake? 270fish

4. WhatistheamountofGST(5%)ona$9000boat? $450

5. Whatisthenextnumberinthesequence:3,8,13,18, ? 23

6. Express25asapercent. 40%

Unit Questions

7. Simplify:(3x2+2x+6)-(5x2 - 3x+12) -2x2 +5x -6

8. 5x2 -4isequivalentto(3x2+4x -7)-(-2x2+4x -3).Trueorfalse? True

9. Whichexpressionisequivalentto- - -

-6 4 12

2

2x x?

a) 3x2 -4x - 12 b) 3x2+2x+6 c) 3x2 - 2x -6

b) 3x2+2x+6

10. Simplify:3x2+3x+3+2x2+4x+2 5x2+7x+5

Other Questions

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1. Convert8.5cmintomm. 85mm

2. Whatpercentagerepresentsthreemonthsoutofoneyear? 25%

3. Evaluate:4+6´ 2 16

4. Whatistheareaofarectangularcakethatmeasures20cmby60cm? 1200cm2

5. If30m3ofsoilcosts$900,whatisthepriceperm3? $30/m3

6. Howmanyminutespassbetween3:55p.m.and6:00p.m.? 125 minutes

Unit Questions

7. Findtheproductof8xand3x. 24x2

8. Simplify:(4ab)(3ab) 12a2b2

9. Simplify:248

2x yx

3xy

10. Simplify:(-5y)(-8x2y) 40x2y2

Other Questions

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1. Whatnumbercorrespondstotwotimesthereciprocalof4? 12

2. If12outof30studentsfromyourEnglishclassaregoingtothetheatre,whatfractionofstudentsdoesthisrepresent?

25

3. Whatisyourtotalsumofmoneywhenyouhave10quarters,12dimes,and6pennies? $3.76or376¢

4. Calculatetheproductof46and0.5. 23

5. Howmanygramsareequalto64kg? 64000g

6. Thepriceofan$80cushionwasreducedby40%.Whatisthesalepriceofthecushion? $48

Unit Questions

7. Simplify:2(x+2y) 2x+4y

8. Simplify:3x(2x -4y+1) 6x2 - 12xy+3x

9. Simplify:-5(8+2) -50

10. Simplify:-5x(z2 -4x+3) -5xz2+20x2 - 15x

Other Questions

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1. Add:35

710

1310

2. HowmuchPST(8%)doyouhavetopayonapurchaseof$30? $2.40

3. Ifyouearn$35aftereachshift,howmuchmoneywillyouearnafter4shifts? $140

4. Thereare20studentsinyourmathematicsclassand14ofthemare

absentoneday.Howmanystudentsareabsent?5students

5. Anenclosurecontains23horses.Howmanylegscanyoucount? 92legs

6. Evaluate:40

Thereisnosuchnumber.

Unit Questions

For questions 7 and 8, find the value of the polynomials knowing that x = 3 and y = 2.

7. x2+y2 13

8. -x -3y -9

9. Writeanexpressionequivalentto-(x - 3). 3 - xor -x+3

10. Expresstheareaofthefollowingrectangleintermsofaandb.

��

�� 14ab

Other Questions

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Documents

Mental Math Grade 9 Mathematics - Province of Manitoba · Mental Math Grade 9 Mathematics (10F) Substrand: Variables and Equations Specific Learning Outcome: 9.PR.3 General Questions