Grade 9 Assessment of Mathematics • Academic

DIRECTIONS

Answering Multiple-Choice Questions

Answer all multiple—choice questions. II you till in more thanone answer to a question. or leave a qt’eslion blank, the questionwill be scored zero. Incorrect answers will also be scored zero.

Answering Open-Response Questions

Do all of your work for each question in the space providedfor the question only.

Write otir solutions. including all calculations, clearly andcompletely.

ATTENTION:

There are more open-response questions in thisbooklet than a regular booklet.

Education Quality andAccountability Office

EØAO

Record ALLyour answers to

multiple-choice andopen-response questions

in this booklet.

You are now ready to start.

Released Assessment Questions, 2016

ANSWE F. S

2

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Multiple-Choice

Remember to write your answersin your Answer Booklet.

page 2

( IH=25 —2What is the height of the ball after 4 bounces?

aN1-m6

b —rn15 t

25(L8 Ib)

C1

S Which of the following is equivalent to

S

a

b

C

d

A cube with a given side length is13

b 9x+4

C 21x— 13

d 2lx+4

3(5x— l)—2(3x+ 5)?

ISx-3- G-t

U A ball is dropped from a height of 25 m. Theballs height, H, in metres. after n bounces isrepresented by the equation below.

H A school is planning a car wash to raise $600.

• There will be 8 teams.

• Each team will wash 2 cars per hour.

• The car wash will last 5 hours.

Each team will take two 15-minute breaks.= c.cr

How much should the school charge per carto raise exactly 5600?

a 515.00 2S-O,S) y 7’oOOZ Up

C $6.82 (sOO

d $6.25 80

p9SO

t.zs

15ci z_m

I

pictured below.

+— v —H

Which algebraic expression representsthe area of one face of the cube?

it

4x1

J

Information about the relalionship between the

height of a plant and time is shown on the grid

below.

Height vs. Number of Weeksa

page 3

Which table of values shows only informationabout this relationship?

Number Heightof weeks (cm)

1 2

2 3

6 5

Height(cm)

Number Heightof weeks (cm)

2 1

3 2

4 4

Numberof weeks

2

3

5

Numberof weeks

2

4

Height(cm)

2

7

1

2

6

Multiple-Choice

4-

U

H

7

6

5

4

3

2

1

2U4-

C,a)I

0 1 2 3 4 5 6

Number of weeks

4.7

c

ci

1

Multiple-Choice

7-

S Two golf courses offe tmlem memberships.Information about t e tinear,relationshipsbetween the total cost, C, in dollars, and thenumber of games played. ii, at these two golfcourses is given below.

First Golf Course

,xl_- YI

=ttf

Which of the following statementsdescribes the two relationships?

Number of Total cost, Cgames, U (5)

51

85

153

204

They are both direct variations.

The first is ajE_variation, and the secondis a partial variation with an initial valueof $17.

c The flrst isa partial iation with an initialvalue of $ 10, and the second is a diptvariation.

d(, Thc flrsl is a partial variation with an initialvalue ofSlO. and the second is a partialvariation with an initial value ofSl7.

3

5

9

12

G The graph below represents Joe’s distancefrom a wall as he walks.

Distance From Wallvs. Time

0 2 4 6 8

Time (s)

Which statement could describe Joe’s walk?

A’ Joe walkbwQy the wall, stands still andthen walks away from the wall.

Joe walks y’from the wall, stands tilland then walks towpd the wall.

Joe walks t’&wazdhe wall, stands still andthen continues to walk toward the wall.

‘t Joe walks from the wall, stands illand then continues to walk awy fromthe wall.

N’ = r V -3-SI =Ct9)(3)-f-,bSI 514 b

C

—4

D

50

40

tOo 30U

20I

£6

I’:--4-

‘I0 1 2 34

Number of games

Second Golf Courseb

page 4

-N

J

\,A

N

correctly

1

:b=-o Co,seconô LS

Multiple-Choice

rS Consider the graph below.

P

6

5

4

3

2

1

0 1 2 3

NfUn

Os

Open-Response page 5

Go to the Answer Booklet and completethe six open-response questions beforecontinuing with question 15.

U Open-Response

E Open-Response

Which of the following isrepresenting this graph?

a P=2n+6

b P=n+6

= —2;; ± 6

d

an equation W Open-Response

EE Open-Response

‘I

E Open-Response

aI Open-Response

2

Multiple-Choice page 2

1

Please read the questions in the Question Booklet;then fill in your answers below.

To indicate your answer, use a pencil to fill in the appropriate circle below completely.

Like this: •Not like this: ® ©‘

Cleanly erase your answer if you wish to change it and fill in the circle for your new answer.

Fill in only one circle for each question.

ii •ooos oo•on o•ooEl *000

00•00

Li 0040

a o•ocn oo•o

Open-Response pageS-

o Floored AreasThe diagram of the floor shown below has algebraic expressions for the lengths of its sides. in metres.

4x—3

H’ t

Determine an unsimplifled expression for the total area of the floor, A, in m2.

A=(1d(3-3) +:sD

Simplify your expression fully. Show your work.

1.- —

=

5(t43) + ThC(3x-3)

= 20xZ ÷t

2(e,X oI’)C

ASix-2- ÷ +

=

-I

page 4Open-Response

Folding Time

A piece olpaper is f&ded in hail, which results in two layers of paper. Then the paper is folded inhalf again to make four layers, and so on.

You have the option of using the grid ii you wish.

0

a)Co

8

ç)oper, -c’cHnw’e( €

4

]. prts r(S0A4‘kcn 9X014cc)) *hccc

N

The number of layers and the number of folds are recorded in the chart.

Number Numberof folds of layers

0 1

1 2

‘2 4

3 g4

Number of Layers vs.

L Number of Folds

32

28

24

20

16

12

Determine whether this relationship is linearor non—linear. -

Circle one: Linear n-lineailinear

Justify your answer.

I

0

a,.0Ez

(r. 0-

0 1 2 3 4 5

it

.1

Number of folds

Is (van— iintar

Open-Response

Eli Theatre Programs

page 5

M1±‘xt- ‘x1

250- 22-o

500 —= 30

‘so

2L0r

2’Lo= b-i-b

Zlo-9oDt

Show your work.

You have the option of using the grid if you wish.

fPEE’FPEEEEEEEEEE

JtliEEEZEEZZZ

E Z fl-EL’-

J

A company charges schools to print programs for school plays. Information about the linear relationshipbetween the total cost and number of programs printed is shown below.

tx ‘

‘1Number of Total cost, Cprograms, ii ($)

350 220

500 250

750 300

= cDC O..lo - Co5tpcr P(°Cjor

5Determine an equation to represent this relationship.

C = O’lv ± 150

CII‘C.

-l4

tI

t

c°j3

cg

+

oi

cflj

-I

Itld

fc_

.

III

3-

-cJ’)

±

rl0

H

5)

-J

4-0-a

“l

t

Cr;

+

Co

000)

Coaa)0C0aU,a)Ca)aC

-oC-

C

ci

0

-GC-cI

C

C-cC,0

C

“4

C‘SLi

(3)

cm

Cl01

\jJ

f¼

-i

a—

In

-o000IC-

00-c0CU0CU0CI000

7-

.3tC0-o

II

o-C0

AU

oCE0

_I

0V1..

VC=

CoC

4—0H

9

U

U

0CI-

a0-CUCU:1:

CoIC

3240

5)G

e.J

It-S+j

4-

to

•—\fl

IiI

c’

1-

dv’)0

.‘

)Q

_4j

\PJUC

II2

*

HH

3

0II5

0

r

0Uc-i

0

4-Aen

—

Open-Response page 7

1’errific TsA school orders T-shirts from Terrific Ts. The total cost is made up of a set-up fee ofSl 15 and acost ofJ2cr T—shirt.

I’

Terrific Is requires a_miiñ.wuaurder of 25 I-shins. The school can spend a_maxjipuzofS8OO.

Determine all the possible values of the total cost, C, and (lie number ofT—shins, ii, for this situation.

Show your work. Coo = 4 ;ç 2<

= 3(Th(cfl 3r’

(cws_

3 3_> round diz’,r -f 2-2-?

bccc&ic 4o cot-FThe possible values ofn in this situation are =2 _9n g c

Ct “n

C fl4llS R&X Cz3(zz2+uSCr 3(26)4 tic c 4i KOz 9c+IIcC, 99

C 9o

eThe possible values of C in (his situation are 1 g g

(rr r’ rntsr.)

00CCaCDa,Ca,aC

00-c0(‘1C,-t00I00L-.WiI

0C0Wi

-JWi0I-.

C,

00C0I—C00p00Wi

Wi

CC,

0C,

CCt

C0C,

-J--aC

i

0Ct

0000-c0-CCi000CU

Ca

0

01)II

a

a3CC)

++0N)

-5-C

0U03eq

00-3CoII4’+3-)-F

0r1)

‘14

iiii

Ii

C’C

A

C

i:U

)

II

0a)00a)‘IU0C‘IC0

Ubo0II

IiII

0

II

o.

Multiple-Choice

E Information about four different linear

40g

nCu

5-

relationships between (‘and ii is shown below.

Flow many of the linear relationships havea rate of change ofS?

So’ea4

b3

C 7

a

page 6

-Th

nC ii C

0 50 10 30

(8 90 12 35

.{“ 16 130 14 40

C C

30 6I-

20 4

24 6 0 2 4 6

A: ArC

1

is perpendicular

ne3abCrcc1 procj

S

rYL= 2Lf

x5pc

Multiple-Choice

Which graph shows a line that4

to the 1mev — 4?

C

page 7

4—4 —2

EL

I

-4 —2

-

- —2

—4It’

V

-J

V

I I

4

E’-t_I••t

:jt

LII I 124 44

Multiple-Choice

Eli What is an equation of the lineETendieuil to the line represenled by

land— . a• with the samQy—interccpt as the line

represented byi’ = 7 + 5x?

V2 \4rPQ1flCC s

= X + 7

V= 4x + 5C y=—*x+7

3’ = — is + 5

IIJ The total cost to repair a fridge. C, indollars, can be represenled by the equationC = 6W + 30, where I is the repair time inhours.

Which of the following statements is trueabout this relationship?

The hourly rate is 590.

The fixed fee is 590.

The hourly rate is sKo, and the fixed feeis $30. /

d The hourly rate is 530. and the fixed feeis 560.

page 8

What is the area olthe shape represented

K 14cm

8cm

12cm

1_

a 28cm2 A — A A2..

b 56 cm2

:c, 84cm2 =(‘4X&o) —

____

ad 168cm2

=

-J

Material to cover the roof costs $3/rn2. Theshaded ends will not be covered. Which isclosest to the cost of covering the root’?

$7540 = C-F d1TYK$12570

$15080 =-rrr(r$37 700

= Trno)co)

d 723 cm-

SpcQrQ:: ilThrs 4

z-flys)c13) ÷Tr(S)1

;c;J7 Cr1’t

Multiple-Choice

This diagram shows a greenhouse that is builtin the shape of a half-cylinder.

A cone is pictured below.

10cm

page 9

H

it Bornv20m I

a

b

12cm

C

d

Hint:

Use Pythagorean theoremas part of your process.

= QI3. S

Q0st 5l3.3’X

2-

10

Which of the following issurface area of the cone?

closest to the

a 267 cm2

26., cm-

Z= 5Z•, 12-

C 691 cm2

sz= 2d- iLICI

J

Multiple-Choice

C

Which of the following composite shapes has9000 as the sum ol’ its interior angles?

7200

=

=

pago 10

b

d

Multiple-Choice page 9

Please read the questions in the Question Booklet;then fill in your answers below.

To indicate your answer, use a pencil to fill in the appropriate circle below completely.

Like this: •Not like this:

Cleanly erase your answer if you wish to change

Fill in only one circle for each question.

ooo•EI o•oow •oooEE oo•o

oo•o•ooo

i o•ooo•oo

it and fill in the circle for your new answer.