Grade 9 Assessment of Mathematics Winter 2009...
Transcript of Grade 9 Assessment of Mathematics Winter 2009...
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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)
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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
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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
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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
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Multiple-ChoiceGraje 9 Assessment ci Mathema:cs, Winter 2009
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HB
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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)
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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—
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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
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C% Di
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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
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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&)
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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°
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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
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