Name: 
 

Math 9 Practice Final #5



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Which point on the number line represents the rational number mc001-1.jpg?
mc001-2.jpg
a.
A
c.
C
b.
B
d.
D
 

 2. 

The rational number represented by point X on the number line is __________.
mc002-1.jpg
a.
10.4
c.
11.9
b.
11.3
d.
12.1
 

 3. 

One day, the temperature fell from 1.5 °C to –2.7 °C in 2 hours. What was the temperature change per hour?
a.
2.1 °C/h
c.
–4.2 °C/h
b.
–2.1 °C/h
d.
4.2 °C/h
 

 4. 

The recycling bin was mc004-1.jpg full at the beginning of the week. The bin was filled another mc004-2.jpg by the end of the week. How full was the bin at the end of the week?
a.
mc004-3.jpg
c.
mc004-5.jpg
b.
mc004-4.jpg
d.
mc004-6.jpg
 

 5. 

Which decimal has a square root between 12 and 13?
a.
182.3
c.
152.5
b.
12.5
d.
121
 

 6. 

Isla is building a fence around her deck. The deck has an area of 65 m2. It costs $125 to build each metre of fencing. How much will Isla spend, to the nearest whole dollar?
a.
$2031
c.
$1008
b.
$4063
d.
$4031
 

 7. 

What is the result of mc007-1.jpg, in lowest terms?
a.
mc007-2.jpg
c.
mc007-4.jpg
b.
mc007-3.jpg
d.
mc007-5.jpg
 

 8. 

Determine the scale factor for this reduction.
mc008-1.jpg
a.
mc008-2.jpg
c.
mc008-4.jpg
b.
mc008-3.jpg
d.
mc008-5.jpg
 

 9. 

A square has a side length of 3.2 cm. The side length of the enlargement is 9.6 cm. Determine the scale factor.
a.
mc009-1.jpg
c.
3
b.
mc009-2.jpg
d.
mc009-3.jpg
 

 10. 

Advertising posters often show smaller images of large objects (like a car) or larger images of small objects (like a calculator). If an actual object has a length of 256 cm and the image on the poster is 160 cm, what is the scale used to make the poster?
a.
5:7
c.
7:5
b.
8:5
d.
5:8
 

 11. 

Canada’s official measurement system is the __________.
a.
Avoirdupois system
c.
SI system
b.
US system
d.
imperial system
 

 12. 

Lori states that her bedroom is 4.3 units long. What unit is most appropriate for this measurement?
a.
centimetre
c.
millimetres
b.
metres
d.
kilometres
 

 13. 

Triangles A and B are similar isosceles right triangles, related by a scale of 3:1. If the hypotenuse of Triangle B is 89.0 cm, what is the length of the hypotenuse of Triangle A?
mc013-1.jpg
a.
29.7 cm
c.
14.8 cm
b.
125.9 cm
d.
89.0 cm
 

 14. 

A calculator is 12 cm long. The length of the calculator on a poster advertisement is 27 cm. What is the scale used to create the poster?
a.
18:4
c.
9:4
b.
18:9
d.
4:9
 

 15. 

The population of wolves in a certain area is 3250. If the growth of the wolf population is 1.9% per year, what will be the population in 15 years?
a.
mc015-1.jpg
c.
mc015-3.jpg
b.
mc015-2.jpg
d.
mc015-4.jpg
 

 16. 

Two cubes have edge lengths of 9 cm and 3 cm, respectively. What is the difference in volume of the two cubes?
a.
702 cm3
c.
756 cm3
b.
243 cm3
d.
27 cm3
 

 17. 

A cube has an edge length of 4 cm. A second cube has an edge length of 256 cm. How many times greater is the volume of the second cube?
a.
16 777 152
c.
262 144
b.
64
d.
192
 

 18. 

Evaluate mc018-1.jpg.
a.
25
c.
4
b.
625
d.
15 600
 

 19. 

Evaluate: mc019-1.jpg.
a.
8100
c.
–8100
b.
–5184
d.
5184
 

 20. 

Determine the value of x if mc020-1.jpg.
a.
4
c.
8
b.
5
d.
–2
 

 21. 

Determine the value of x if mc021-1.jpg.
a.
–4
c.
2
b.
4
d.
12
 

 22. 

How many terms are there in the expression mc022-1.jpg?
a.
1
c.
4
b.
3
d.
2
 

 23. 

How many terms are there in the polynomial mc023-1.jpgmc023-2.jpgmc023-3.jpgmc023-4.jpg?
a.
3
c.
6
b.
4
d.
7
 

 24. 

Simplify (5x2 – 2x + 9) + (8x2 + 7x – 6).
a.
13x2 – 5x – 15
c.
13x2 – 5x + 15
b.
13x2 – 5x – 3
d.
13x2 + 5x + 3
 

 25. 

Determine the multiplication statement modelled by the algebra tiles.

mc025-1.jpg
a.
mc025-2.jpg
c.
mc025-4.jpg
b.
mc025-3.jpg
d.
mc025-5.jpg
 

 26. 

What division statement is modelled by the algebra tiles?

mc026-1.jpg
a.
mc026-2.jpg
c.
mc026-4.jpg
b.
mc026-3.jpg
d.
mc026-5.jpg
 

 27. 

Add the following polynomials. mc027-1.jpg
a.
mc027-2.jpg
c.
mc027-4.jpg
b.
mc027-3.jpg
d.
mc027-5.jpg
 

 28. 

Expand the expression mc028-1.jpg using the distributive property.
a.
mc028-2.jpg
c.
mc028-4.jpg
b.
mc028-3.jpg
d.
mc028-5.jpg
 
 
Assume that this graph shows air pressure at different altitudes. Use the graph to answer the following question(s).

nar001-1.jpg
 

 29. 

When a mountain climber reaches an altitude of 1000 m, what is the approximate air pressure?
a.
78 kPa
c.
75 kPa
b.
80 kPa
d.
82 kPa
 
 
Use the graphs to answer the following question(s).

nar002-1.jpg nar002-2.jpg
 

 30. 

Who walked farther in the first 2 s and by how much?
a.
Bill; 1 m
c.
John; 1 m
b.
Bill; 2 m
d.
John; 2 m
 

 31. 

A theatre has 22 seats in the first row, 34 seats in the second row, 46 seats in the third row, and so on. What is the linear equation that represents the number of seats, s, in each row, r?
a.
mc031-1.jpg
c.
mc031-3.jpg
b.
mc031-2.jpg
d.
mc031-4.jpg
 
 
Use the figures to answer the following question(s).
nar003-1.jpg
 

 32. 

Following the pattern above, how many dots will Figure 5 contain?
a.
13
c.
11
b.
12
d.
10
 

 33. 

Following the pattern, which figure number will have 42 dots?
a.
37
c.
212
b.
35
d.
18
 

 34. 

As flowerpots are added individually to a stack, the height of the new stack is represented by the following graph. What is the height of a stack of 6 flowerpots?

mc034-1.jpg
a.
22 cm
c.
24 cm
b.
18 cm
d.
16 cm
 

 35. 

In the equation mc035-1.jpg, determine the value of P when n = 13.
a.
23
c.
82
b.
102
d.
76
 

 36. 

Solve mc036-1.jpg.
a.
mc036-2.jpg
c.
mc036-4.jpg
b.
mc036-3.jpg
d.
mc036-5.jpg
 

 37. 

Solve mc037-1.jpg.
a.
mc037-2.jpg
c.
mc037-4.jpg
b.
mc037-3.jpg
d.
mc037-5.jpg
 

 38. 

Solve the following: mc038-1.jpg.
a.
mc038-2.jpg
c.
mc038-4.jpg
b.
mc038-3.jpg
d.
mc038-5.jpg
 

 39. 

Solve mc039-1.jpg.
a.
p = –1.17
c.
p = –1.72
b.
p = –0.05
d.
p = 3.45
 

 40. 

What is the value of x if mc040-1.jpg?
a.
x = –4
c.
x = –0.25
b.
x = 1
d.
x = 0.25
 

 41. 

Solve for w in mc041-1.jpg.
a.
w = 6
c.
w = 0.75
b.
w = 3.75
d.
w = 30
 

 42. 

Solve the following: mc042-1.jpg.
a.
x = –25.2
c.
x = 2.4
b.
x = 5.0
d.
x = –12
 

 43. 

The average amount of daylight per day in Calgary is 14.6 h. The average amount of daylight per day in Vancouver is 3.9 h more than half the number of hours in Calgary. What is the average amount of daylight per day in Vancouver?
a.
11.2 h
c.
3.9 h
b.
8.6 h
d.
10.7 h
 

 44. 

In which situation might timing be an influencing factor?
a.
A teacher asks her class to complete a survey with the question, “What is your favourite subject?”
c.
After a baseball game, the people leaving the stadium are surveyed to determine their favourite sport.
b.
Every household in the city is mailed a survey asking, “Do you think it is important to maintain the city’s parks?”
d.
Students in a grade 5 class are asked, “Do you like your parents?”
 
 
Answer the following question(s) using the information from the scenario below.

The owner of a pet store in a shopping mall wants to conduct a survey. She decides to survey the first 100 people who pass her store as soon as the mall opens. She chooses this time because her store is not busy first thing in the morning.
 

 45. 

If she walked around the mall and surveyed every tenth person, this would provide a
a.
systematic sample
c.
convenience sample
b.
voluntary response sample
d.
random sample
 

 46. 

Predictions based on a sample taken from a normally distributed population are more accurate when
a.
the sample population is all the same age
c.
the sample size is large
b.
the sample size is small
d.
the sample is taken from only one geographical part of the area
 

 47. 

How could you alter this graph to make it misleading?
mc047-1.jpg
a.
Change the names of the participants.
c.
Put Larry’s data first, followed by Sandi’s, then Farah’s, and then Lori’s.
b.
Use better pictures of balls that are all the same size.
d.
Make Sandi’s balls bigger than Lori’s balls so that Sandi’s line is longer.
 
 
nar005-1.jpg
 

 48. 

What makes this graph misleading?
a.
The representation of Indira’s calls is shorter than the others.
c.
The representation of Samantha’s calls is taller than the others.
b.
The representation of users’ calls is not a consistent width.
d.
The representation of each user’s calls is a different height.
 
 
nar006-1.jpg
 

 49. 

Which graph would be best for showing what percent of the time each type of movie was chosen?
a.
double bar graph
c.
circle graph
b.
bar graph
d.
line graph
 

 50. 

Which graph would be best for showing the number of each type of movie that was chosen?
a.
circle graph
c.
bar graph
b.
line graph
d.
double bar graph
 



 
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