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Released Assessment Questions, 2015
Grade 9 Assessment of Mathematics • Academic
DIRECTIONS
Answering Multiple-Choice Questions
Answer all multiple-choice questions. If you fill in more than one answer to a question. or leave a question blank, the question will 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 provided for the question only.
Write your solutions. including all calculations. clearly ami completely.
ATTENTION:
There are more open-response questions in this booklet than a regular booklet.
Education Quality and Accountability Office
Record ALL your answers to
multiple-choice and open-response questions
in this booklet.
You are now ready to start.
2 Carlton Street, Suite 1200, Toronto ON M5B 2M91 Telephone: 1-888-327-7377 I Web site: www.eqao.com I © 2015 Queen's Printer for Ontario
DPCDSB - Page 7
Multiple-Choice
• 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: e Not like this: ® (0" ~ @
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.
D 0000
fJ 0000
BJ 0000
D 0000
m 0000
m 0000
D 0000
m 0000
m 0000
mJ 0000
Ill 0000
DPCDSB - Page 8
page 2
Open-Response page3
More Snacks, Please!
Raisins and sunflower seeds are sold together in packages of 250 g. The ratio of the mass of raisins to the mass of sunflower seeds is 3 to 5.
Determine the mass of raisins in a package.
Show your work.
R S - . 3 ~., s
QCAiSu~
3~~ ~ /\cPb1J
Sun f\ow<U Sct.ed_s
~ _L 2'51J
DPCDSB - Page 9
Open-Response page 4
IE Getting Fit
Maddie enrols in a fitness program. Her total cost is made up of a sign-up fee and a cost per class.
The table below shows information about her total cost, C. in dollars, when she attends n classes.
Number of classes, 11
12
14
Total cost, C ($)
67
74
'}.., ~I (12/lolJ
X1. "/'(1~ 1 14)
What is the sign-up fee?
Sign-up fee: -~-'--2_5 _______ _
Show your work.
to&\- pe-{ ctas.s ( ro. \e.)
m=- 'h.-'/1 -}(~ -'/..1 1y-t,_}
l.\-2
~- 1j2-
-= ~ 3 . 6 0 ( c\Q s 5 Is the relationship between the number of classes Maddie attends and her total cost a partial variation or direct variation? -------
Circle one: Direct variation
Justify your answer.
DPCDSB - Page 10
Open-Response page 5
Kenny's Big Adventure
The following graph represents the relationship between Kenny's distance from home on a bike ride and time.
D Distance from Home vs. Time
e ........ v ~ 4 -1---l--+--l----1--1---1--
Q) c/ \·~~ E - -- - -- ---~ --- --·+-- - -· _g b / '2-c: '""\. '· 3 - t-E I s=--..; ~,.., e ~ 2 --·H/,-+_,--1---1---1-~--r--r_,~ ~ _ a L~ ~ _ . __ _ __ __ c 1 -i ---- -------- _:=.. -----1--
v \tiroJt ~~~~~~4--L-+, ~--~, ~~~~'
0 10 20 30 40 50
Time (min)
Describe the 3 segments of Kenny's ride. Include infonnation about distance travelled, time, direction and speed, in km/min, for each segment. fY\:: ns-e... \tOJt of- e..')
(U,V\
Segment Distance
Time Direction Speed (km/min) travelled
3Y--r<\ ,.
Rw6. ~ fvoffl 3~ O· 3t-m lrnih \0~\l\ -a -i\OWlt
10m1n
l\~S\\-1~ slo~)
S\UP -b
0~ \ SmH'l (oo ChO.rtj c. 'n o~fVV\,·n o\\~ck\.OC\)
c \I 5't--f<' 15Y'/\ \Vl ftwCLJ ~Wl \· 5~ - t? • Ofo t-M /w -
hoM.t J5wnn (vos,t\v(. ~\op-e.)
\V\
DPCDSB - Page 11
Open-Response page 6
IE Comparing Relationships
Infonnation about three linear relationships is given below.
elationship 1 Relationship 3
~~ y 3x + 6y + 1 = 0 X y
,t.., '1t 'f...-z_
2 - 1
4 0
f'(\-:- -2-L-3)
C) - (:- '-')
- 1_ y- f~ -+,
2-
~ 0 's-m~ -o·5
ras~Lt ~lo~
Circle the relationships that have the same rate of change.
Justify your answer. Include infonnation about all three relationships.
DPCDSB - Page 12
Open-Response page 7
Making Equations!
Detem1ine the equation of the line that has the same y-intercept as 2-r + y + 6 = 0 and is perpendicular to the line shown on the grid.
y
In
--- 8-
-r--- -- ----f-- -- ---r-- -- 6 1---1-- 7~ ----- ·--r- ----
~-+-~~+-+-1~-+~4~.~~~+-~~-~~*=-~-+-k~ v 3 rt ::. 21\ r ..- ft,.f. }_
/ "" //- - --- ····---·- r--· --- -- -- ------ --··· ~-+-+~~+-+-~~~-r~~+-+-~~-+-r~x
..::.1 Q_ -=~~-- _____ -:- ____ -- ~-- _ ~ ___ , __ A__ _ ___ ·-·--F- J~ --/ "
·-··-· --· -·--· .... 6-·
-- -·-·- -- -·· -·-····- -- -- --- .. -- -· -·· 8·- - - - --- -·· ·-··- ···-· - - . -··- ·-- i- -·
I +-t--t- r--+--;--+--t--1--""'~ ;z ~~~-~~~-~~~
Show your work.
DPCDSB - Page 13
Open-Response
[6 Skate On!
A diagram of a community icc rink is shown below.
~-------------------- 61m --------------------~
The rink is being enclosed with fencing that costs $6.20/m.
Determine the total cost o f= g \ or the rink.
Show your work.
DPCDSB - Page 14
I .1 • fes' .f./\€-'{bf v ,,A ~0 co CJ ---
"1'Y--~ ~· Vet{\~ o(- 3~'cl.a..?.- \'Z.t.(r·
? :- 4 ?J + J-1 · -+ 7--L -- \ L.£ rl'.
\ 0~ (). \ \)ex \\"'U-~ -=- 40. £, + \1.2
-:: \ l11.. £>
page 8
26m
Open-Response page 9
A Schoolyard
A schoolyard is in the shape of a regular decagon, as pictured below.
Complete the chart below with the values of x andy. Justify your answers using geometric properties.
Value Justification using geometric properties
.s~~~~~ :to~ w 17
r \'f'k -w l<U\lf&. · x= 5'4- 3b
0 ~ U'\ ~
0 0 - 3b ~ Sv-m 60 Anj ~ ~ cu ~ ::::. \¥0- qo
<J - \ r Ku'j lJ r---;::54
" SuM of . \V'\\e,r- .\0(' Ql.ns ~ \¥\ 0. Dec::.a..zron:
y = \L\L\0 SuX'(\ = \~o(n--z.-)
-=- ,~o (\o -2...) ~ 1~0 l ~)
" ':::\440
• " SllM 14-4° - \4-4 -;:: -nu._~W \0 or.s\a.~;..->
DPCDSB - Page 15
Multiple-Choice
• 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: e Not like this: ® (0" ~ @
page 10
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.
m 0000
Em 0000
m 0000
P1J 0000
pj] 0000
Em 0000
PE 0000
~ 0000
~ 0000
PE 0000
~ 0000
m 0000
m 0000
DPCDSB - Page 16