Name: 
 

Math 9 Practice Final Exam #1


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

 1. 
Write the following fractions in ascending order:   mc001-1.jpg,   mc001-2.jpg,   mc001-3.jpg,   mc001-4.jpg,   mc001-5.jpg
a.
mc001-6.jpg,   mc001-7.jpg,   mc001-8.jpg,   mc001-9.jpg,   mc001-10.jpg
c.
mc001-16.jpg,   mc001-17.jpg,   mc001-18.jpg,   mc001-19.jpg,   mc001-20.jpg
b.
mc001-11.jpg,   mc001-12.jpg,   mc001-13.jpg,   mc001-14.jpg,   mc001-15.jpg
d.
mc001-21.jpg,   mc001-22.jpg,   mc001-23.jpg,   mc001-24.jpg,   mc001-25.jpg
 

 2. 
Which point on the number line represents the rational number mc002-1.jpg?
mc002-2.jpg
a.
A
c.
C
b.
B
d.
D
 

 3. 
Evaluate mc003-1.jpg
a.
–1.4
c.
0.6
b.
2.6
d.
1.6
 

 4. 
The waiters at a restaurant give 30% of their tips to the kitchen staff at the end of each shift. If a waiter collects $90.50 in tips, how much does he take home at the end of his shift?
a.
$117.65
c.
$27.15
b.
$60.50
d.
$63.35
 

 5. 
Determine the value of mc005-1.jpg.
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 
Emily has 8 large bags of popcorn to be divided among some smaller bags. The smaller bags are mc006-1.jpg of the size of the large bags. How many smaller bags of popcorn can Emily make?
a.
56
c.
3
b.
18
d.
24
 

 7. 
Calculate mc007-1.jpg.
a.
mc007-2.jpg
c.
mc007-4.jpg
b.
mc007-3.jpg
d.
mc007-5.jpg
 

 8. 
A square frame is projected onto a screen using an overhead projector. The original square frame has a side length of 8.5 cm. The square frame is enlarged by a scale factor of 6.4. Determine the side length of the square frame on the screen.
a.
14.9 cm
c.
54.4 cm
b.
217.6 cm
d.
108.8 cm
 

 9. 
Canada’s official measurement system is the __________.
a.
Avoirdupois system
c.
SI system
b.
US system
d.
imperial system
 

 10. 
Triangles A and B are similar isosceles right triangles, related by a scale of 2:1. The two legs of Triangle A are 71.0 mm long. What is the approximate length of the hypotenuse of Triangle B?
mc010-1.jpg
a.
200.8 mm
c.
142.0 mm
b.
100.4 mm
d.
71.0 mm
 

 11. 
Triangles A and B are similar isosceles right triangles, related by a scale of 2:1. If the hypotenuse of Triangle B is 49 cm, what is the approximate length of one of the sides of Triangle A?
mc011-1.jpg
a.
69.3 cm
c.
49 cm
b.
17.3 cm
d.
69.0 cm
 

 12. 
A farmer sketched the following layout of a field. He wants to develop a scale drawing of the field in which 1 cm on the diagram represents 5 m of actual distance. The pipeline runs across the diagonal of the field. Approximately how long will the line that represents the pipeline be in the scale diagram?
mc012-1.jpg
a.
500.0 cm
c.
14.1 cm
b.
10.0 cm
d.
5.0 cm
 

 13. 
What scale must be applied to make equilateral triangle JKL from equilateral triangle RST?
mc013-1.jpg
a.
4:1
c.
1:8
b.
1:4
d.
8:1
 

 14. 
Determine the scale factor used to draw Figure A from Figure B.

mc014-1.jpg
a.
0.33
c.
0.30
b.
0.25
d.
0.20
 

 15. 
Write the number of unit squares in this large square as a power.
mc015-1.jpg
a.
72
c.
77
b.
mc015-2.jpg
d.
mc015-3.jpg
 

 16. 
Evaluate the power mc016-1.jpg.
a.
–1.2
c.
0.064
b.
–0.064
d.
1.2
 

 17. 
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.
mc017-1.jpg
c.
mc017-3.jpg
b.
mc017-2.jpg
d.
mc017-4.jpg
 

 18. 
If mc018-1.jpg, then what is the value of mc018-2.jpg?
a.
1.5
c.
40.5
b.
0.3333
d.
9
 

 19. 
Evaluate mc019-1.jpg.
a.
15 625
c.
1 000 000
b.
244 140 625
d.
31 250
 

 20. 
Evaluate mc020-1.jpg.
a.
25
c.
4
b.
625
d.
15 600
 

 21. 
Evaluate: mc021-1.jpg.
a.
8100
c.
–8100
b.
–5184
d.
5184
 

 22. 
In the term mc022-1.jpg, the letter d is best described as being a(n) __________.
a.
polynomial
c.
variable
b.
exponent
d.
coefficient
 

 23. 
What is the opposite of the polynomial mc023-1.jpg?
a.
mc023-2.jpg
c.
mc023-4.jpg
b.
mc023-3.jpg
d.
mc023-5.jpg
 

 24. 
How many terms are there in the polynomial mc024-1.jpgmc024-2.jpgmc024-3.jpgmc024-4.jpg?
a.
3
c.
6
b.
4
d.
7
 

 25. 
What multiplication statement is represented by the algebra tiles below?
mc025-1.jpg
a.
mc025-2.jpg
c.
mc025-4.jpg
b.
mc025-3.jpg
d.
mc025-5.jpg
 

 26. 
Expand mc026-1.jpg using the distributive property.
a.
mc026-2.jpg
c.
mc026-4.jpg
b.
mc026-3.jpg
d.
mc026-5.jpg
 

 27. 
Expand the expression mc027-1.jpg using the distributive property.
a.
mc027-2.jpg
c.
mc027-4.jpg
b.
mc027-3.jpg
d.
mc027-5.jpg
 

 28. 
The distance, in metres, travelled by a train, t seconds after the brakes are applied, is given by the expression mc028-1.jpg. What is the expanded form of this expression?
a.
mc028-2.jpg
c.
mc028-4.jpg
b.
mc028-3.jpg
d.
mc028-5.jpg
 
 
Use the graphs to answer the following question(s).

nar001-1.jpg nar001-2.jpg
 

 29. 
At what time has John walked 4 m further than Bill?
a.
7 s
c.
9 s
b.
16 s
d.
8 s
 

 30. 
The cost to print stickers is $6.95 plus $0.75 per sticker. Determine an equation that relates the total cost, C, in dollars, to the number of stickers, s.
a.
mc030-1.jpg
c.
mc030-3.jpg
b.
mc030-2.jpg
d.
mc030-4.jpg
 
 
Use the figures to answer the following question(s).
nar002-1.jpg
 

 31. 
How many dots would the next figure contain?
a.
27
c.
11
b.
20
d.
19
 

 32. 
Following the pattern, which figure number will have 42 dots?
a.
37
c.
35
b.
212
d.
18
 

 33. 
Following the pattern above, how many dots will Figure 5 contain?
a.
13
c.
11
b.
12
d.
10
 

 34. 
How many dots would the next figure contain?
a.
11
c.
27
b.
20
d.
19
 
 
Each line segment is 7 units long. Use the figures to answer the following question(s).

nar003-1.jpg
 

 35. 
Describe the pattern in the relationship between the figure number and the figure length.
a.
The length of the figure is 14 times the figure number.
c.
The length of the figure is 7 times the figure number.
b.
The length of the figure is 12 more than the figure number.
d.
The length of the figure is 6 more than the figure number.
 

 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 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.
k = 13.05
c.
k = 8.35
b.
k = –9.2
d.
k = 14.38
 

 40. 
Solve for x in mc040-1.jpg.
a.
x = 10
c.
x = 1.5
b.
x = 5
d.
x = 0.75
 

 41. 
Solve the following: mc041-1.jpg.
a.
x = 12
c.
x = 19.1
b.
x = 3.4
d.
x = 5.5
 

 42. 
Solve mc042-1.jpg.
a.
x = –30
c.
x = 2
b.
x = 46
d.
x = –2
 

 43. 
Marc had 6 coupons for $2.00 off the regular admission price of a movie. He bought tickets for himself and 5 friends. He paid $51.00. What was the regular price for each ticket?
a.
$10.50
c.
$17.00
b.
$12.00
d.
$19.00
 

 44. 
During a team meeting, a hockey coach asks each person, “Who is our weakest player?” This is an example of
a.
bias
c.
lack of privacy
b.
cultural insensitivity
d.
inappropriate ethics
 

 45. 
In which situation might the cost of the study outweigh the benefits?
a.
A teacher asks her class to complete a survey with the question, “What is your favourite subject?”
c.
Every household in the city is mailed a survey asking, “Do you think tulips should be planted in the city parks?”
b.
A butcher surveys all of the customers in his shop to determine if they prefer hamburgers or hot dogs.
d.
Students in a class are asked, “Do you like your parents?”
 
 
Use the information provided to answer the following question(s).

Ms. Jenkins gave her class a quiz worth 15 points. After marking the first 4 quizzes, she predicted that the class would not do well on the test. The quiz scores are shown below.

6
6
9
8
12
12
13
15
9
11
11
12
8
15
9
10
14
12
15
11
7
9
4
6
9
12
12
14
10
11
 

 46. 
What is the mean score for the entire class?
a.
10.4
c.
11.0
b.
12.0
d.
13.1
 

 47. 
What is the median score for the entire class?
a.
11.0
c.
10.4
b.
13.1
d.
12.0
 

 48. 
A coach is checking the statistics on a player and wants to know whether the player is making progress over the season. Is the graph shown below the best graph to use?
mc048-1.jpg
a.
No, because you cannot easily compare the data between two games.
c.
Yes, because you can see a positive trend in the data over time.
b.
Yes, because the data can be easily counted.
d.
No, because you cannot see the full season.
 
 
nar005-1.jpg
 

 49. 
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
 

 50. 
The best graph for showing the fraction of horror movies people chose would be a
a.
line graph, to show changes over time
c.
pictograph that shows different movie posters for each type
b.
circle graph, to show the percent of horror movies out of all the choices
d.
double bar graph, to compare two sets of data across categories
 



 
Check Your Work     Start Over