EQAO Preparation Multiple-Choice
1
2
3
The design for a rectangular garden has a length-to-width ratio of 7:5.
Which of the following could be used to determine the width of the garden if the length is 6.5 m?
a¿5 7=
6.5 x ¿b¿
7 5=
6.5 x
c¿6.5 7 =
5 x¿d¿
x 6.5=
7 5
What is the value of k in the proportion below? 9 k= 24 32 a 12 b 15 c 16 d 17
Last week, Tenisha paid $65.72 for 62 kg of potatoes for her restaurant. Today, the price of potatoes is $0.02/kg lower. How much will Tenisha pay for 50 kg of potatoes today?
a $46 b $47 c $52 d $53
4
5
6
A bicycle has a regular price of $175. It is on sale for 20% off.
Which of the following is closest to the total cost, including 13% tax?
a $140
b $158
c $163 d $168
The volume of the cylinder shown below is 408 cm3.
Which of the following is closest to the radius of the cylinder?
a) 4 cm b) 8 cm c) 14 cm d) 16 cm
What is the value of x that makes the equation 4x – 5 = -6x + 15 true? a) 2
EQAO Preparation Multiple-Choice
7
8
An equation representing the height of a burning candle is H = 2d – ½t, where • H is the height, in centimetres, • d is the diameter, in centimetres, and • t is the amount of time that the candle has
been burning, in minutes. A candle has a diameter of 6 cm. If the candle burns for 2 minutes, what will its height be?
a 1 cm
b 4 cm
c 11 cm d 13 cm
Which scatter plot shows data with no trend?
9
10
Kim owes her mother $100 She will pay her back $5 each week.
Which table shows data about the amount Kim still owes for the first 5 weeks of payments?
Consider the four different relationships represented below.
How many are linear relationships?
a 1 b 2
c 3 d 4
11
12
Which of the relationships represented below has a constant rate of change?
Each of the three points on the grid below gives information about the altitude of a hot air balloon at a certain time.
If the relationship between altitude and time is linear, what was the altitude of the balloon at 4 minutes?
a 1250 m b 1500 m
c 1750 m d 2000 m
13
14
Dakota and Jamie have part-time jobs. The graphs below represent the relationship between earnings and the time each of them works.
Whose graph represents a partial variation, and what is the initial value of the relationship?
a. Dakota’s, $0 b. Dakota’s, $15 c. Jamie’s, $30
d. Jamie’s, $40
For babysitting, Becky charges according to the equation C = 5n + 9, where C is the amount charged, in dollars, and n is the number of hours she babysits. Which statement about this situation is correct?
a. Becky charges $14 per hour.
b. Becky charges a flat fee of $14.
c. Becky charges an initial fee of $5, plus $9 per hour.
d. Becky charges an initial fee of $9, plus $5 per hour.
15
16
Each week, Marissa withdraws the same amount from her bank account.
The equation A = 1550 – 90w represents the relationship between the amount of money remaining in her account, A, in dollars and the number of weeks of withdrawing, w.
For how many weeks has Marissa made withdrawals when the amount remaining in the account is $110?
a. 14 b. 16 c. 17 d. 18
Oscar rides his bicycle to the beach along a straight road. While at the beach, he realizes that he has forgotten his sunscreen and returns home.
Which of the following is true about Oscar’s trip?
a. The beach is 10 km from Oscar’s home.
b. His speed riding to the beach is 0.25 km/min.
c. His speed riding home from the beach is 1.7km/min.
d. He stays at the beach for 25 minutes before he returns home to get sunscreen.
17
18
Water is being pumped to empty a swimming pool.
At 6 a.m., the water level is 150 cm. Every 2 hours, the water level drops by 30 cm.
What is the earliest time when the pool will be empty?
a 10 a.m.
b 11 a.m.
c 4 p.m. d 5 p.m.
Data about the total monthly cost to rent video games from two online game sites are shown on the graph below.
Which of the following statements is true?
a It costs more to rent from Sir Game-A-Lot after 6 games.
b It costs less to rent from Mighty Gamers after 30 games.
c It costs the same amount to rent 6 games from the two sites.
d It costs the same amount to rent 30 games from the two sites.
19
20
Some students use 24 large square tiles to create a dance floor. They arrange the tiles to make a rectangular area with the smallest possible perimeter.
Which arrangement creates an area with the smallest possible perimeter?
a) 1 row of 24 tiles b) 2 rows of 12 tiles c) 3 rows of 8 tiles d) 4 rows of 6 tiles
A wire is attached from the top of a 10 m ole to a spot on the ground 4 m away from the base of the pole, as shown below.
Which of the following is closest to the length of the wire?
a 11 m
b 14 m
c 20 m d 28 m
21
22
The figure below is made of a square-based prism and a cone
Which of the following is closest to the volume of the figure?
a 3675 cm3 c 5067 cm3 b 4041 cm3 d 5581 cm3
The diameter of the sphere is 10
cm.
EQAO Preparation Multiple-Choice
23 What is the value of x in the diagram
below? 27
The table below shows the price per case of water at different stores.
Store Price
per case Number of 500 ml bottles per
24
25
26
a. 91o c. 55o
b. 89o d. 34o
What is the value of x in the diagram below?
a. 40o c. 78o
b. 62o d. 118o
The dimensions of a rectangle are in a 3:5 ratio. If the shorter side lengths are 30 cm, what are the longer side lengths? a. 10 cm c. 18 cm
b. 15 cm d. 50 cm
The cost of an MP3 Player is $299. A newer model costs 20% more.
Which of the following is closest to the sale price of the newer model after a 30% discount?
a. $251.16 b. $269.10 c. $289.00 d. $310.96
28
29
Cheapies $1.75 8
Foodsmart $2.25 12
Variety Foods $4.59 20
Super Grocers
$4.99 24
Evelyn is buying 120 bottles of water.
At which store should Evelyn buy her water to pay the least?
a. Cheapies b. Foodsmart c. Variety Foods d. Super Grocers
What is the value of the expression −12 −6+3?
a 14 c 5
b 4 d 4 3
Which value of x makes the equation 1+
√
x=10true?a 3 c 18
b 9 d 81
EQAO Preparation Multiple-Choice
30 Tyler walks along a line leading from a motion sensor. The graph below shows information about Tyler’s walk.
D is ta n c e fr o m m o tio n s en so r ( m ) 0 1 2 4 4 5 1 2 3 3 5 t D 31
Distance from Motion Sensor vs. Time
Which of the following is closest to Tyler’s speed in metres per second as he walks toward the motion sensor?
a 2.0 b 1.3 c 0.8 d 0.5
Which expression is a simplified form of -2x(-4x + 3)?
a 8x2 – 6x
b 8x2 + 6x
c -8x2 – 3
d -8x2 + 3
33
Which is closest to the total amount of wax to make the candle?
a 226cm3
b 339 cm3
c 452 cm3 d 1357 cm3
The table below shows information about renting movies from four different stores.
Name of Store Total Cost
($)
Number of Movies Rented
Great Flix 6 2
Net Show 12 3
Movie Time 25 10
DVDs R Us
36 12
Which store offers the lowest cost per movie?
a Great Flix b Net Show c Movie Time d DVDs R Us
34
35
The graph below represents the relationship between the number of calories and the volume for various drinks.
Which of the following points represents a drink with more ca lories than expected for its volume?
a P b Q c R d T
The total cost for printing a classified advertisement in a local newspaper is made up of a $30 fee, plus $0.10 per word.
Which equation below models the relationship where C is the total cost to place the advertisement and w is the number of words?
a. C = 10 + 0.30w b. C = 10 + 30w c. C = 30 + 10w d. C = 30 + 0.10w
36
A plumber charges an initial fee of $50, plus an additional $25 per hour.
Which graph represents this relationship?
37 A snowstorm lasts for seven hours. Data is recorded for the depth of the snow for the first five hours.
Time (h) Depth of Snow (cm)
0 5
1 8
2 11
3 14
4 17
5 20
Which graph below models the depth of snow for the first five hours?
38
39
In which of the following patterns is there a linear relationship between the number of shaded squares and the term number?
At her fitness club, Joanne is charged $15 per month. The total cost for 12 months is $270. Is the relationship between total cost and the number of months a direct or partial variation and what is the initial fee?
EQAO Preparation Multiple-Choice
40
41
42
An online music store provides music that members can download. The store charges a membership fee and a cost per song.
The chart below represents the relationship between the total cost and the number of songs downloaded.
Number of Songs Total Cost ($)
10 13
20 16
30 19
Which of the following is not true about this relationship?
a It is non-linear. b It has an initial cost.
c It has a constant rate of change. d It can be represented by a straight line?
Pablo has a cellphone. The relationship betweenhis monthly cost, C, in dollars and the number of minutes he uses the phone, t, is represented by the equation C = 20 + 0.25t.
Which of the following is not true about this relationship?
a The cost per minute is $0.25.
b The value of the rate of change is 0.25 c The total monthly cost for 1 minute is $2 d The graph of the relationship has a intercept of 20.
The equation C = 15n + 100 represents the relationship between the total cost of a gym membership, C, in dollars and the number of months of membership, n.
Which statement about this gym membership is true?
a. It has an initial cost of $15. b. It costs $115 per month.
c. It has an initial cost of $15 and a fee of $100 per month.
d. It has an initial cost of $100 and a fee
43
44
The following describes Ihab’s drive from Windsor to Toronto:
One hour after leaving Windsor, he stops for 15 minutes to have a snack.
He then drives for two more hours and then stops to visit a friend for one hour.
He then completes his drive to Toronto at a faster rate than any other segment of his trip.
Which graph best describes his trip?
c 58o
d 64o
Dan needs to get his car fixed.
Fast Freddie charges $440 for materials plus $50 per hour for labour.
Rapid Ron charges $360 for materials plus $60 per hour for labour.
Which repair shop charges less for a 5-hour job, and how much less?
of $15 per month.
EQAO Preparation Multiple-Choice
45
46
47
Which dimensions produce the smallest perimeter for a rectangular area of 120 m2?
a 2 m 60 m c 3m 40 m
b 4 m 15 m d 6 m 20 m
Two square gardens are shown below. A welcome banner extends from a corner of Garden A to a corner of Garden B.
Which is closest to the length of the banner?
a 6 m c 12 m b 9 m d 78 m
Hanna works painting sealant on driveways. She charges $7.50/m2.
How much will she charge to paint the paint the paint driveway shown above? a $215 c $280
b$280 d $337.50
48
49
50
Consider the square below.
What is the area of the shaded part of the square? a. 36 cm2 c. 18 cm2
c. 27 cm2 d. 9 cm2
Consider the diagram below.
What is the value of x?
a. 23o c. 79o
b. 56o d. 101o
Consider the diagram below.
Which equation is true?
