Released Assessment Questions, 2016
Grade 9 Assessment of Mathematics • Applied
,
For Use with Assistive Technology
:⚪
Listen as your teacher reads the instructions. Some key points are listed below.
Make sure you have the Formula Sheet for reference.
The diagrams in this booklet are not all drawn to scale.
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 and completely.
Attention:
⚪
The format of this document differs from that of the actual assessment booklets, as the
questions are sorted by strand.
There are more multiple-choice and open-response questions in this document than in a
regular booklet.
You are now ready to start.
Education Quality and Accountability Office, 2 Carlton Street, Suite 1200, Toronto ON
M5B 2M9 • Telephone: 1-888-327-7377 • Web site: www.eqao.com. © 2016 Queen’s
Printer for Ontario.
Multiple-Choice
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2
Question 1: The cost of granola bars at two different stores is shown below.
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What is the difference in the cost per granola bar at these two stores?
A: 2 cents
,⚪
B: 6 cents
,⚪
C: 58 cents
,⚪
D: 62 cents
,⚪
Question 2: Cornerstone High School has 18 60 students.
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45% of the students bike or walk to school.
•
372 students drive to school.
•
The remaining students travel to school by bus.
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How many students travel to school by bus?
A: 651
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B: 837
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C: 1209
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D: 14 43
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Question 3: What value of x makes the following equation true?
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A: 4
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B: 8
:⚪
C: 32
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D: 256
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Question 4: A cake is made of two cylindrical layers of ice cream stacked on top of each
other as pictured below.
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The formula for the volume of one layer of this cake, V, is
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V = π r 2 h,
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ow
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where r is the radius of the layer and h is the height of the layer.
Which of the following is closest to the total volume of ice cream needed to make the two
layers of this cake?
A: 434 centimetres cubed
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B: 867 centimetres cubed
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C: 54 48 centimetres cubed
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D: 17 114 centimetres cubed
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Question 5: Which of the following shows an appropriate line of best fit for the data?
A:
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B:
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D:
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Question 6: The temperatures at 2 a.m. and 4 a.m. on a winter day are recorded in
the table.
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If the relationship between temperature and time is linear, what are the temperatures at
3 a.m. and 5 a.m.?
A: minus 4 °C and 0 °C
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e
B: minus 4 °C and 2 °C
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C: minus 5 °C and 1 °C
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D: minus 5 °C and 5 °C
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Question 7: Information about the amount of money Aamari has left at the end of each
month is shown by the graph.
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7
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0
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2
6
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0
1
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4
Aamari started with 300 dollars and spent the same amount each month. He reached
0 dollars afters 6 months.
If Aamari had spent 100 dollars more per month, and had started with 300 dollars, when
would he have reached 0 dollars?
A: 2 months
:⚪
B: 3 months
:⚪
C: 6 months
:⚪
D: 8 months
:⚪
Question 8: Information about four different linear relationships is given below.
7
=2
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7
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Which two of these linear relationships have a rate of change of 7?
A: “Table” and “Graph”
,⚪
B: “Table” and “Description”
,⚪
C: “Equation” and “Graph”
,⚪
D: “Equation” and “Description”
,⚪
⚪
Question 9: Joel has a summer job cutting lawns. The relationship between his profit, P, in
dollars, and the number of lawns cut, n, is shown by the graph below.
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What type of variation is the relationship, and what is its initial value?
A: a direct variation with an initial value of 5 dollars
:⚪
B: a direct variation with an initial value of negative 100 dollars
:⚪
C: a partial variation with an initial value of 5 dollars
:⚪
D: a partial variation with an initial value of negative 100 dollars
:⚪
Question 10: The graph below represents information about the linear relationship between
the total cost of a day at the fair and the number of rides taken.
8
3
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Which of the following equations represents the relationship between C and r?
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A: C = 3r
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B: C = 9. 5r
capital
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l
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C: C = 0. 75r plus 26
capital
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D: C = 3r plus 26
capital
:⚪
:⚪
Question 11: Enviro-Car rents vehicles. The company is advertising a change in its total
costs as shown below.
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Enviro-Car plans to graph the relationship between the total cost, C, and number of
kilometres, n, for both total costs.
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How will the graph of the new total cost be different from the graph of the old total cost?
The graph of the new total cost will be
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A: steeper and start higher on the C-axis.
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c
B: steeper and start lower on the C-axis.
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C: less steep and start higher on the C-axis.
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D: less steep and start lower on the C-axis.
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Question 12: Ariel and Hayden each have money in a bank account that does not give any
interest. Hayden’s weekly account balance is shown by the graph below.
4
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Ariel starts with 200 dollars in her account and spends 20 dollars each week, without making
any deposits.
Which of the following is true?
A: Hayden will have less money in his account than Ariel in Week 5.
B: Hayden will always have more money in his account than Ariel.
C: Ariel starts with less money in her account than Hayden.
⚪
D: Ariel has more money in her account than Hayden in Week 4.
⚪
⚪
⚪
Open-Response
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tions1
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8
Question 13: Hamburgers and Hot Dogs
:⚪
At a local event, the ratio of hamburgers to hot dogs sold is 5:3.
to
The number of hamburgers sold is 275.
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How many more hamburgers than hot dogs are sold?
Show your work.
There are
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more hamburgers than hot dogs sold.
⚪
Question 14: Great Lengths
:⚪
The rectangular yard pictured below has algebraic expressions for its side lengths, in metres.
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The perimeter of the yard is 126 m.
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Complete the equation below so that it represents the perimeter of the yard.
126 =
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Determine the value of x using your equation.
Show your work.
The value of x is
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Question 15: Signed, Sealed and Delivered
:⚪
Two companies deliver packages. Information about the total cost, C, in dollars, for each
company is given below.
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Complete the chart below by determining the initial value and the rate of change for
each company.
Describe the meaning of the rate of change in each situation.
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Question 16: Charity Walk
:⚪
Emily participates in a 10 km charity walk, where the walkers follow a straight path from the
start then return along the same path to the finish. This graph shows the relationship
between Emily’s distance from the start and her time.
ilo
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Describe each segment of her walk. Include information about distance travelled, time, speed
in kilometres per minute and direction.
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Question 17: Grid School
:⚪
The diagram on the grid below represents the shape of a school.
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Determine the total area of the shape of the school.
⚪
Show your work.
⚪
Question 18: Magnificent Map
:⚪
A map is pictured below.
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6
7
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Complete the table below with the values of x and y. Justify your answers using
geometric properties.
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Multiple-Choice
,que
tions
s
19
to22
:
Question 19: The ramp pictured below is 12 m long and has a base of 10 m.
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2
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0
1
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b
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Which of the following is closest to the height, h, of the ramp?
A: 2 m
:⚪
trs
e
B: 7 m
:⚪
trs
e
C: 16 m
D: 22 m
:⚪
trs
e
:⚪
trs
e
trs
e
Question 20: Orange Dream sells drinks in two sizes of cylindrical cans. The smaller can is
pictured below.
.⚪
4
ru
m
0
1
d
lb
s
n
a
fc
to
ig
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h
T
The larger can has the same height and a radius that is triple the radius of the smaller can.
How many times larger is the volume of the larger can than that of the smaller can?
A: 3 times larger
:⚪
B: 9 times larger
:⚪
C: 12 times larger
:⚪
D: 27 times larger
:⚪
Question 21: What is the value of x in the diagram below?
.⚪
x
0
4
6
9
8
2
u
1
,b
s
w
k
v
m
d
lfc
p
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ta
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A: 60°
:⚪
B: 68°
:⚪
C: 112°
:⚪
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d
n
u
h
d
D: 128°
re
d
n
u
h
d
:⚪
Question 22: What are the values of x and y in the diagram below?
:⚪
y
x
2
6
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A
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A
A: x = 62°, y = 62°
⚪
:⚪
B: x = 62°, y = 118°
⚪
:⚪
un
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d
d
C: x = 118°, y = 118°
nd
u
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re
⚪
:⚪
nd
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red
D: x = 118°, y = 62°
nd
u
h
re
⚪
:⚪