Released Assessment Questions, 2015

Grade 9 Assessment of Mathematics • Academic

Education Quality and Accountability Office

EWAO ~ ...... ~

Read the instructions below.

Along with this booklet, make sure you have the Answer Booklet and the Formula Sheet.

You may usc any space in this book for rough work for multiple-choice questions only.

The diagrams in these booklets arc not all drawn to scale.

ATTENTION:

Unlike in the actual assessment booklet, the questions in this booklet are sorted by strand.

There are more multiple-choice questions in this booklet than in a regular booklet.

Continue to read the directions on the cover of the Answer Booklet.

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DPCDSB- Page 17

Multiple-Choice page 2

'

• Remember to write your answers in your Answer Booklet.

D A rectangle is divided into 5 equal sections as pictured below.

I 3x

l ~-----25x---~

Which of the following represents the ~f ..llll.e section? t

lx.vu-a 8x ~<;;:x..-:- ~ ~ ~X~ 3::C

b 8x2 =t<;x9·

c 15x

@ 15x2

fJ The table below contains five expressions.

p x pxpxpxpxp 1~ V

p2 xp2 xp2 f(:, ~

How many of these expressions are equivalent to (j/)3?

a

b 2

0 d 4

DPCDSB - Page 18

II A rectangle is shown below with algebraic expressions for its length and width in centimetres.

a

b

c

Q

-+------- 3x ---~

i x+5

l Which expression represents the area of the rectangle in cm2?

4x + 5

8x + 10

3x2 + 5

3x2 + 15x

-::sz()L-:1 cs)

Multiple-Choice

What is the solution to the equation below?

2 3x- 4 = 20

a x = 12

b X = 16

C X= 24

(!) =36

(;2_ X--(~\ "1 C:> \._{)3

a.-x.-1~ ~:10 ---'S 'J "~- _1-;z ::: eoo ,'){...;: (JJ01'=>

I.'"V ~7-,j..;;. \'t--g Mia sells T-shirts from a booth at a market. ~

She pays $30 to rent the booth. Eacl~ T-shirt '/..-;: costs her $1.50, and she sells them for $7.50

each. ~t Her goal is to make $200 after she pays for the booth and the T-shirts.

What is the minimum number ofT-shirts Mia must sell to reach her goal?

oanne drives for 2.5 hours at a constant speed and travels 250 km.

page3

Fran9ois drives at a constant speed exactly 1 0 km/h less than Joanne's speed.

Which point on the graph below could represent the distance travelled and time spent travelling for Fran9ois?

Distance Travelled vs.

D Time Spent Travelling

500 -

I ~~ ----c-+E:J--r-- )!( "C "'t.;..,. ~ 7

1 ~

300 -----·-------------

... Q) (J c cu 'lii i5

-r-- -----·-

100 - -·- -- ------r--··--·----.. -a 27

29

200 ~ -=r ,5b ~ - \ 1 50)(-30 0

.?00 - (o "X. - 30

2 30 --:: b:X a z

G c X

d w

Time spent travelling (h)

J~nne~ speec_L

0<50~ ~ (QO~tt"f~ - 2.S:'n

too- ,o ~ qo~ll

DPCDSB - Page 19

Multiple-Choice page4

D Which of the following shows information from m The total cost ofyearbooks for a school is a linear relation between C and n? made up of a $375 set-up fee and $25 for

each yearbook purchased. a

1l c There is a linear relationship between the total

0 0 cost and the number of yearbooks purchased.

1 1 What type of variation is this relationship, and what is its initial value?

2 3 a direct variation, $375

cf!: ll c f3?-b direct-variation, $25

0 "-,· -7 )~"

~ 1 partial variation, $3 7 5 0

2 / -5 ... d- partial variatim1, $25

\1 {'Y , 4 -3

c c n

0 -9

4 -6

16 -3

d c n

0 2

5 4

20 6

\.., 0

DPCDSB - Page 20

Multiple-Choice

A company ships CDs in crates of equal size. The graph below shows the relationship between the total mass of a crate and the number of CDs it contains.

Total Mass vs. Number of COs

JvJ

250- -~-+-t--+--1-+--1-1--11--+-1 c; --· - -- - -- -- - --- - r::::!/ ~ =- 200- ...,....v !:! j/ E 15ro- -- -f-:v ~ ·-- ---r- -----

161 .., _.....v ri pe..= 6 'j 100 · r~fl

· · r~n·- _,__ ---so- l<~"ep'..s

1........!--!-, -L_,,f---..!.-+-L-+-...J..._+-, +I n 0 100 200 300 400 500

Number of COs

Which of the following equations represents the relationship between the total mass of a crate, Nf. and the number of_CDs it contains, n?

@) M = 0.25!1 + 100

b JvJ = 4n + 100

C .N/ = 0.25n + 125

d .N/= 4n + 125

C)

\n,\-\<tJ.. v~ \00~ .

page 5

II!] A relationship is represented by the following graph.

c

Which equation represents this relationship?

@) C = n+2 v" b C = n+l

c C = 2n + 2

d C = 2n + 1

m A local band pays $5000 to record its first album and $0.15 for each CD made .

..;, \o.~e< W\\ \-\ o.i_ \1 t\.\. \...Q

The band pays $7000 to record its second album and $0.10 for each CD made. • ~ . A.. I\ )

-.....:;> \ou.:R.C (CA..~ ( \<S s s \e e.\'• u-«< p

How will the graph of the relationship between the total cost and the number of CDs made for the second album differ from the graph for the first album?

The graph of the line for the second album will stmi

a lower on the vertical axis and be steeper.

b higher on the vetiical axis and be steeper.

c lower on the vertical axis and be less steep.

0 higher on the vertical axis and be less steep. .

DPCDSB - Page 21

Open-Response

' • '

Go to the Answer Booklet and complete the seven open-response questions before continuing with question 19.

m Open-Response

ill Open-Response

ill Open-Response

im Open-Response

IE Open-Response

m Open-Response

[[3 Open-Response

DPCDSB - Page 22

Multiple-Choice page 6

IE Which equation does not represent a linear relation?

a y = 0

b X = 5

G)J?J+ y = 9

d 2x + y - 5 = 0

~ What is the slope of the line represented by the equation below?

0 = 2x - lOy + 7

a 5 fOj ~ 2 'X-\- _3:-)o ID 1°

®t J ::: 2- ~ --\- .:L \o \\) c - -

5 -:..J-'1-. +:l j

d - 5 5 \0

Multiple-Choice

The end points of line segment AB are A(3, - 12) and B(6, k).

'/. \ '{l y.. ,_ '11.-What is the value of k if the slope of line segmentAB is -2?

b -6

c 6

d 18

rf\ =- y2- '/I '1..)_-'f.l

-2 -:: \L.. - (_- I '"2.-1_ (a- 3

-2 ·-- -

\

- ¥-;-\2-:..-.----3

page 7

~ Information about three different relationships between C, in dollars, a~d t, il;hours, is shown below. 1 I .1- :::::. -z "{:,\_\.,\

t c (h) ($)

0 10 "-..., ..., . ) ( .

2 ·d4 'i\ -...-I t •

~'). 4 ,;~

c

0

I C = 4 + 0.5! I

2-o (

{Y\ =-~Q.. :::: ~ - jl \Ll\'\ y, 2 - ~ I

yy) :;~ {~l'{1

::: \~ - \L\_

4-"2. -;::_ !:L :::-2.

2

How many of the three relationships

between C and t have a rate of change of $4

per hour?

G) o b

c 2

d 3

DPCDSB - Page 23

Multiple-Choice

X-'1 PE A line passes through the point (6, 4) and has

a

b

1 a slope of - 2·

Which of the following graphs represents this line?

y

1 0 -1-t-1--1-+--1-+-t--+-r-t--l --1--- -1-- ---p ~

8 --r+-r~~r-/~r~+-r~-·

6 -1-+~~~/~r~+-~~+-l ~"" ,., 4 .c_ _________ _

2 ---····-- ······ --·- ·-- --·--- ·---

.......... _,_, -'--+-, -'---!---'-+, -'-+, +' X 0 2 4 6 8 10

y

10 ---1---1---1----

8 ------- ---r-- --- -·

6 ----1---- -- --- ;.;.~ ~

-- P' --2 - ~/

k ----- -1--~-i-t-1 L-J.--T-....I-+--J--!-....!....-+--'"-4--+1 X

0 2 4 6 8 10

DPCDSB - Page 24

c y

10 -- 1-+-1-+-1-r-- --r-

y co-,,-.,,.-,,-,.~

10 - -~-t----1-1--t--t---1----

8----r-- r- - -r-........

6 - --~,:---1--1-~"'-"'k:-+-1-+--+-+-+-1 4 ..............

- - L r--;;;:::-_l--1'--..-t-1-+-1

2 -l-+-r1-+-+-l-~·~~~'-~~ ,_ - -1--------- --

rn == -l 2.

0 L-J..--t-, ....1.-+--J--!-....1-+--J--!-+' X

2 4 6 8 10

page 8

Multiple-Choice

' The maximum number of tickets that can be sold for a school play is 350.

The total profit earned, P. can be detem1ined using the equation P = 4.501? - 1 080, where n is the total number oftickets sold.

Which of the following statements is true?

a The maximum profit is $1080. j_

b The maximum profit is $1575. '{

~The total profit is $0 when 240 tickets are sold. -

d The total profit is $0 when 350 tickets are sold.

?:::t\-,~35'0) -\OBO

- \5 \s:- -)c€U

~4 "~ ~ crray. ~~n+ 1 )

page 9

wo gyms offer fitness classes. The graph below shows the total cost for the first gym.

Total Cost vs. Number of Classes

c 200 -

y... -·- --· - --- --~ ~~ ·- --- -

"" L 160 -tl I. / l 120 -

, - ~ ~ ~ 1- h~ 1- - 1-

80 -c;;;-_ /. 2 ...

···-·-·· - ·~ (\"': T ~ r;;.-40 L ~ 1- I\" u ~ ll

0 2 4 6 8 10

Number of classes

For 4 classes, both gyms have the same total co·st.

Which of the following could represent the total cost for the second gym?

a c = 60 +4n

b c = 40 + •S"' C The total cost is made up of a

membership fee of $60 and $10 per class.

@ The total cost is made up of a membership fee of $40 and $20 per class.

DPCDSB - Page 25

Multiple-Choice

em The table below lists the widths of four rectangles, each with an area of 72 cm2.

Width (em)

Rectangle 1 6

Rectangle 2 8

Rectangle 3 10

Rectangle 4 18

f\::.Q•W -11 := () rol p ~

12.!;-b:::. \'2

12..-\- '0 ~ '1

12~ lO-::- 1·2

12."7lS' ~ 4-

Which rectangle has the smallest perimeter'L. p:: d .R.. ;;) vJ

a Rectangle 1 ~-;: :J. ~ 1o) -+- d.~ 1..) ::: 3{,

(0 Rectangle 2 p~ 2-l~) Ar 2. ( q) = 34-c Rectangle 3 \":> ~ 2. (_\ o)-+-- ~( 1·1..) = 34· Lf

d Rectangle 4 P ~ '2-( \S) -\- 2l !..\-) -::: 4 4

~ Salt is sold in packages in the shape of a rectangular-based prism that is not a cube. A new packag~ in the shape of a cube is designed to contain th~lun1e.

Which of the following is true about the new package'?

a It holds less salt.

b It holds more salt.

@) It requires less material.

d It requires more material.

A e.tA.\oe m\o\m,-z.e..s ~u.vru'-e..

AN-~ fbv ~A j\V~ voluw\.e. ·

DPCDSB- Page 26

page 10

~ According to the Pythagorean theorem, what is the length of the third side of the triangle, x?

X

a 2cm

b 4cm

c 6cm

@) 8cm

15 em

17 em

rx-= [isq-z_?-S

X~~ X -= r;3

iiJ The figure pictured below is made up of a cone on top of a cylinder.

4cm

4cm\/ ~~:;::. '0'2-1 vcaol 3

v fV"tl\L -:: "(o -4--3 l­S~

The cylinder has a volume of 96 cm3:

What is the volume of the figure?

a 120cm3

~ c 144 cm3

d 192 cm3

Multiple-Choice

• Consider the diagram below.

What is the value of x?

page 11

\tD ... b\ ~ \\~ ~ The following figure is a 15-sided .Q s~\(.\'<\.U\~~ v polygon. ~~

~~ ?. ~ x . =zl.l-

What is the value of x shown in the diagram?

c 46° Su.'('(\ o~ \'(\w-'o' ~ d 48° SuvY" = \~(n- t-)

~ \ ~ 0 (\ s--2-) ~,go(\3)

~

~ 2.~4-0

DPCDSB- Page 27

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cation Quality and

untability Office Grade 9 Assessment of Mathematics 2014

Released Assessment Questions: Academic

Student Answer Sheet Your multiple-choice answers must be entered on this sheet.

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

Like this: e Not like this: ® <0' ~ ® • Do not fill in more than one answer to a question.

• Do not leave a question blank.

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

@@@@ 9. @@@@ 17. @@@@ 25. @@@@

@@@@ 10. @@@@ 18. @@@@ 26. @@@@

@@@@ 11. @@@@ 19. @@@@ 27. @@@@

@@@@ 12. @@@@ 20. @@@@ 28. @@@@

@@@@ 13. Respond in booklet. 21. @@@@ 29. @@@@ Respond in booklet. 14. Respond in booklet. 22. Respond in booklet. 30. Respond in booklet.

@@@@ 15. @@@@

@@@@ 16. @@@@

' ' '

23.

24.

Respond in booklet.

@@@@

31. Respond in booklet.

End of Assessment

: Print Student Name: -------------' ' ' ' ' ' I ' ' : Student Signature: I

·1---------------------------- r---------------------------·

II Student Answer Sheet-Released Assessment Questions DPCDSB - Page 29 II

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• DPCDSB • Page 30