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Grade 9 Assessmentof MathematicsWinter 2009

SAMPLE ASSESSMENTQUESTIONS

Education Quality andAccountability Office

EE4AO

Record your answers to the multiple-choice questionson the blank Student Answer Sheet (Winter 2009, Academic).

Please note: The format ofthis booklet is different fromthat used for the assessment.The items themselves remainthe same.

Multiple-ChoiceGrade 9 Assessment of rAathematics, Winter 2009

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S Alfredo and his wife. Jody. work in arestaurant.

Last week Alfredo received an average of$15 in tips for each of the 55 tables lieserved. Jody received an average of $20 intips for each of the 60 tables she served.

They are planning a weekend trip. Alfredowill pay a total of $220 for their hotel roomand Jody will pay a total of$ 160 for theirrental car.

I Tow much of their combined tips will beleft over after they have paid for their hotelroom and rental car?

a $1620

C $2025 5t lao- 320d $2405 - ui-fC

fi What is the value of (x2)3 when x = 4-?a

S The cone shown below is 20 cm high andhas a total volume of 1000 cm3.

El A box with a volumeshown below.

A

of 11v2v2 is

1

=7

What is the width of the box?

V= 12x2v2

2v

trWhich of the following is closest to thelength of the rad ins, r?

a 6.9 cm

Ii 6.2 cm

cm

d 2.3 cm

a 2xi’

C 4x3v

d 8x3v’

Hint: I - = lit’?,

I

iS(sE)i- 20(to)

2

Grade 9 Assessment at Mathematics, Winter 2009 Open—Response

S CD Sell-OffJuan belongs to a CD club that sells CDs for $11.44 each before tax. Ills first shipment ofcDs costs$90.49 including 13% tax.

I low many CDs are in his first shipment?

Show your work.

t. i14Q

C 6i.+)(i. (3)

7o

7od9

CDs

3

Grade 9 Assessment of Mathernaics, Winter 200?

Which of the following could be the slopeoVa line of best lit (hr the data shown iiithe scatter plot below?

11

3,14

12

10

8

6

4

2

Multiple-Choice

S Which table of values represents a linearre la[io 1’?

L

—4— 73[2-

—

a 1r3

_______¶

:s

DillI o

P24 19j1N1i i

o J

o r-V p

- t

LHj

0 I2 4 6 8 10 12 14

a —2

b-I

4

Multiple-ChoiceGraje 9 Assessment ci Mathema:cs, Winter 2009

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HB

3Ea

CUC

0

a

S hi an investigation, a student holds a Which of the (bllowing graphs would bemotion detector. points it at a vall and produced on the graphing calculator?walks toward the wall.

a 1)

wat

The student walks slowly at First and thenspeeds tip as lie approaches the wall.

0 Time (s)

0 Time (s)

C D

rspC’’d e

Time (s)

d D

F

360

0)UC

00

0 Time (s)

5

Multiple-Choice Grade 9 Assessment cf Mathematics, Winter 2009

U The table of values below displaysthe cost of renting a bicycle.

Time,i Cost,C

4 -t

Which equation models the cost ofrenting a bicycle?

a C’=5t

E25

d G25rt5—

6

Grade 9 Assessment cf Mathematics, Winter 2Q09 Open-Response

Picture Perfect

The cost oF producing a Family photo album is $0.50 per photo. plus a Fixed cost For the album.

— I- -—

Number

otphotosfj

I>$40.00

$42.50 1

$4j

Optc& 3 /LZ4J

k’ 4j2t

‘C)

(.4CUJAJ b

I AA/&L

Circle the table below that represents this scenario

ni tAO.Option 1

Cost, C

Option2

5

10

15

OptionS

rNumbejrCost, Cof photos,p

5 $35.5076 — — So

10 $36.00-

-—

15 $36.50a.5 F-———-- —b I >15r

[__20 j $37.OO_j20

Cost, C

Justil, your choice and

Number

of photos, p

5

10

L 15

20

2.c

‘2.So

2-

include an explanation of why you did not choose the other options.

Ct o.5+b (p r)

a

&3S.(tb

cLo&L( cf-In

—dAD 1o156/9k01o

cost (Q&AscL

yJaA cA

J9Y

cwfVt3LA

QLLJ-JC,

C% Di

7

Multiple-Choice Gr3e 9 Assessment of Mathematics, Winter 2009

iii Which of the Following statements is true Forthe line it — — 12 = 0?

-% ?5Yhj 7a The slope is and the i-intercept is 12.

b The slope is --5 and the i-intercept is 6.

c The slope is 5 and the v-intercept is —12.

)The slope is and the i-intercept is —6.

For the slope of a line, the change in xis greater than the change in y. Whichot’the Following could represcnt theslope of this line?

at

b2

The graph of a line is shown below.

If the slope is doubled and the v-interceptremains constant, which graph below bestrepresents the new line?

E1 3 2 1%

>1: /T4

a2

4--5 -4 3 2—i S

+ -I

-- if

illa

C

C

1’

xci

x345 4-3-2 10

-2

I

S

Multiple-choiceGrade 9 Assessment of Mathematics, Winter 2009

Consider the Ibilowing linear relations.

y

S

Which line represents the graph of theequation y = —Zr + 5?

a Linep

b Lineq

icr

d Lines

The following table shows values fora linear relation.

[xTh71 A

___

,

11%-N

L2 3]

\Vhieh of the INlowing equationsrepresents the relationship shown inthe table of valLies?

a y= 16

by=x-l3)

)t_±i t__±

-ThfS 6 2

J=mfl

3C)3z 16t63H’io-t

9

Open-Response Grade 9 Assessment of Mathematics, Winter 2009

Cellphone Plans

Serge is choosing a celiphonc plan and wants the lowest cost. Cell-a-Bration charges $12 per monthplus $0.05 per minute for cellphone service. F—Phone charges $28 per month for unlimited minutes.

Monthly Cost vs.

Oo zoo

U)

En0U

C0

CNumber of Minutes

-a- 5nMnE- Fkone

Number of minutes

Determine under which conditions Serge should choose Cell-a—Bration and tinder which conditionsSerge should choose F-Phone.

Justify your answer.

E-Ph31R’

ccs

,I4p 0

(AJ1L

0 50 100 150 200 250 300 350

ZIt J}A&)

V10

Grade 9 Assessment cf Mathematics, Winter 2009 Multiple-Choice

Which oF the Following is closest to theperimeter of triangle KLM?

a 12.6cm

b 16.3 cm

5crn

d 21.0cm

that form the shaded interior triangle?

a 3.7 iii

b 6.1 in

5l

d 18.3 in

CoEli Triangle K LM is shots ii below.

M 7.3cm L

7.3’K

7C

nsider the following diagram.

1200_ 28z_610a

What is the value ofx?

a 14°

ii 28°

d 76°

Consider the diauram below.

A &3’\12o H

The Frame of the roof of a small house isbeing constructed. A portion of the frameconsists of four isosceles triangles asshown below.

7.4

H— 12.2 m——-————-— —H

\Vhat is the total length of the three sides

What is the value ofx?

a 80°

b 120°

d 170°

11

Open-Response Grade 9 Assessment of Mathematics, Winter 2009

1 Something’s MissingThe semicircle in tie diaararn below has a radius o14 cm.

What is the area of’ the shaded region?

AA

3z

j%+ 32 -

12

21t

±c_r_.— 14cm

2÷

Show your work.

At

‘24\t JJ

cc0

3(q)

-ETh

2-

2

;2.2 cm

C

12