Name: 
 

Math 8 Practice Final Exam



Multiple Choice
Identify the choice that best completes the statement or answers the question.  Record your answer on the bubble sheet provided.
 
 
nar002-1.jpg
 

 1. 

What conclusion could you draw from the above graph?
a.
both students were improving over time
b.
both students were not doing as well over time
c.
Gary was doing better but Keely was not doing as well
d.
Keely was doing better but Gary was staying at the same level
 

 2. 

A photo has a length to width ratio of 8:5. If the length of the photo is 13.6 cm, the width of the photo is
a.
3.0 cm
b.
8.5 cm
c.
18.6 cm
d.
21.8 cm
 

 3. 

A recipe calls for mc003-1.jpg cups of chocolate chips to make a batch of five dozen (60) cookies. On average, how many cups of chocolate chips would be in each cookie?
a.
mc003-2.jpg
b.
mc003-3.jpg
c.
mc003-4.jpg
d.
mc003-5.jpg
 

 4. 

The total delivery cost on a shipment of furniture is mc004-1.jpg, where m represents the number of pieces of furniture being delivered, and c is the total cost. How much would it cost to deliver nine pieces of furniture?
a.
$21.00
c.
$31.00
b.
$39.00
d.
$37.00
 

 5. 

Simplify.  -2(4-a)
a.
8 - a
c.
-8 + 2a
b.
-8 - a
d.
8 + 2a
 

 6. 

A list of all possible outcomes in a probability experiment is called
a.
a favourable outcome
c.
the sample space
b.
an independent event
d.
a simulation
 

 7. 

Which statement best describes the following figure?

mc007-1.jpg
a.
It can be used to tile the plane.
b.
It can be used to tile the plane if three triangles are added.
c.
It cannot be used to tile the plane because the total of the angles where the vertices meet is greater than 360°.
d.
It cannot be used to tile the plane because the total of the angles where the vertices meet is less than 360°.
 
 
Choose the best answer.

nar004-1.jpg
 

 8. 

One disadvantage of pictographs is that
a.
it is difficult to compare categories to the whole using percents
b.
it is difficult to count the symbols on them
c.
it is difficult to read the symbols on them
d.
it is difficult to read the title
 
 
nar005-1.jpg
 

 9. 

Based on the graph, how many people ate apples for lunch?
a.
20
b.
30
c.
40
d.
50
 
 
nar001-1.jpg
 

 10. 

Bar graphs are best for
a.
comparing data across categories
b.
comparing data using percents
c.
comparing data to show changes over time
d.
comparing data that are easily represented using symbols
 

 11. 

One disadvantage of bar graphs is that
a.
it is difficult to compare the data
b.
it is difficult to count the data
c.
it is difficult to determine which category is least popular
d.
it is difficult to show changes in data over time
 
 
nar006-1.jpg
 

 12. 

On which two tests did the class score at the same level?
a.
Fraction Test and Geometry Test
c.
Geometry Test and Graphing Test
b.
Fraction Test and Probability Test
d.
Percent Test and Probability Test
 

 13. 

These data could be displayed using a pictograph because

mc013-1.jpg
a.
they are comparing data across categories
b.
they add up to 100%
c.
they can be represented with symbols and can be easily counted
d.
they show changes over time
 
 
nar007-1.jpg
 

 14. 

A basketball player is participating in a special training program. The graph shows his scoring over the last six games. These data suggest that the training program has
a.
allowed the player to improve in each game
b.
allowed the player to improve only over the last three games
c.
not allowed the player to improve
d.
supported some improvement but the improvements are not seen every game
 
 
nar008-1.jpg
 

 15. 

A coach wants to show how many shots each player is making compared to the total number of shots made by members of the team. Which graph would be the most useful?
a.
bar graph
b.
circle graph
c.
line graph
d.
pictograph
 

 16. 

According to the graph, how many successful shots were made altogether by Sandi, Lori, Larry, and Farah?
a.
195
b.
210
c.
214
d.
220
 
 
nar009-1.jpg 

nar009-2.jpg
 

 17. 

Which graph best shows the fraction of the garden used for each vegetable?
a.
the bar graph, because it clearly shows numbers along the y-axis
b.
the bar graph, because it displays the vegetables so clearly
c.
the circle graph, because it shows percents
d.
the circle graph, because the sum of all the data is 100%
 
 
nar010-1.jpgnar010-2.jpg
 

 18. 

Which of the two graphs would you use if you wanted to know the total number of plants in the garden?
a.
the circle graph, because it is easy to add the percents
b.
the circle graph, because  it tells you there are 100 plants
c.
the pictograph, because the symbols are easy to count
d.
the pictograph, because you can see how many carrot plants are in each picture
 

 19. 

Determine the value of x if  mc019-1.jpg.
a.
16
b.
32
c.
80
d.
112
 

 20. 

A bank surveyed its loans to new small businesses. It found that the ratio of unpaid or overdue loans to good loans was 1:2. If 159 small businesses are selected randomly from the bank’s files, how many are likely to have unpaid or overdue loans?
a.
39
b.
40
c.
53
d.
80
 

 21. 

You want to enlarge a 20.2 cm by 12.6 cm photo by a factor of 1.5. Determine the dimensions of the new print.
a.
21.7 cm by 14.1 cm
c.
32.8 cm by 49.2 cm
b.
30.3 cm by 18.9 cm
d.
40.4 cm by 25.2 cm
 

 22. 

Brian’s cell phone use shows the following pattern: 45% phone calls, 30% texting, 10% games, and the rest devoted to music. Express the ratio of phone time to text time to music time in lowest terms.
a.
3:2:1
b.
4.5:3:1
c.
30:15:10
d.
45:30:10
 
 
A survey of students in the school found that 144 had Motorola cell phones, 60 had Sony phones, 48 had Nokia phones, and 36 had LG phones.
 

 23. 

Use a three-term ratio to compare the numbers for the three most popular phones. Express your answer in lowest terms.
a.
5:4:3
b.
12:5:4
c.
60:48:36
d.
144:60:48
 

 24. 

If 450 grams of chocolate cost $6.00, how many grams can you get for $1.00?
a.
75 g
b.
100 g
c.
150 g
d.
2700 g
 

 25. 

Janice earned a 15% commission on $549.50 sales. Chong earned a 25% commission on $343.25 sales. Adrienne earned a 20% commission on $418.75 sales. Luke earned 10% commission on $625.75 sales. Who earned the most money from commission?
a.
Adrienne
c.
Janice
b.
Chong
d.
Luke
 

 26. 

Karen ran 200 m in 40 s, Ethan ran 300 m in 52 s, Saren ran 100 m in 19 s, and George ran 400 m in 73 s. Who ran the fastest per metre?
a.
Ethan
b.
George
c.
Karen
d.
Saren
 

 27. 

Taye wants to buy a personal DVD player that costs $249.00. How much money will Taye need to pay for the DVD player if the GST is 5% and PST is 7%?
a.
$29.88
b.
$32.37
c.
$278.88
d.
$281.37
 

 28. 

What is the square of 7?
a.
1
c.
14
b.
7
d.
49
 

 29. 

Which number is not a perfect square?
a.
49
c.
81
b.
64
d.
86
 

 30. 

What is the square root of 225?
a.
12
c.
15
b.
13
d.
16
 

 31. 

In the diagram shown below, what is the sum of BC2 + CA2?

mc031-1.jpg
a.
CA2
c.
BA2
b.
CB2
d.
BC2
 

 32. 

The square on the hypotenuse of a right triangle has an area of 25 cm2. The square on one leg has an area of 20 cm2. What is the area of the square on the remaining leg?
a.
5 cm2
c.
25 cm2
b.
15 cm2
d.
225 cm2
 

 33. 

The value of mc033-1.jpg is between which two numbers?
a.
9 and 10
c.
7 and 8
b.
8 and 9
d.
6 and 7
 

 34. 

The value of mc034-1.jpg is approximately
a.
0.17
c.
0.13
b.
0.14
d.
0.12
 

 35. 

Jasper wants to put a straight sidewalk from his back door to a shed in the corner of his yard. How long will the sidewalk be? Round your answer to the nearest tenth of a metre.

mc035-1.jpg
a.
6.0 m
c.
9.5 m
b.
8.5 m
d.
12.0 m
 
 
Choose the best answer.
 

 36. 

One completely shaded grid represents 100%. What percent does this diagram represent?

mc036-1.jpg
a.
80%
c.
110%
b.
90%
d.
120%
 

 37. 

Helen calculates the volume of a gift box measuring 45 cm mc037-1.jpg 15 cm mc037-2.jpg 30 cm. Her answer will be expressed in 
a.
centimetres
c.
quadratic centimetres
b.
cubic centimetres
d.
square centimetres
 

 38. 

Identify the following transformation.

mc038-1.jpg
a.
translation
c.
reflection
b.
rotation
d.
image
 

 39. 

One completely shaded grid represents 100%. What percent does this diagram represent?

mc039-1.jpg
a.
mc039-2.jpg
c.
mc039-4.jpg
b.
mc039-3.jpg
d.
mc039-5.jpg
 

 40. 

Which fraction is smaller than 0.28?
a.
mc040-1.jpg
c.
mc040-3.jpg
b.
mc040-2.jpg
d.
mc040-4.jpg
 

 41. 

Which fraction can be written as 180%?
a.
mc041-1.jpg
c.
mc041-3.jpg
b.
mc041-2.jpg
d.
mc041-4.jpg
 

 42. 

Which of the following shows two different ways of writing mc042-1.jpg?
a.
0.3, 3%
c.
0.03, 3%
b.
0.3, 30%
d.
0.03, 30%
 

 43. 

If GST is 5%, how much GST will Janine pay on a jacket that costs $125?
a.
$6.25
c.
$131.25
b.
$62.50
d.
$187.50
 

 44. 

The gopher population in a pasture is 200. The following year the population increased by 10%. It increased by another 10% the next year, and then increased by an additional 10% the year after that. What was the gopher population after the third year?
a.
260
c.
266
b.
261
d.
267
 

 45. 

Demi borrows $3000 and agrees to repay the loan after two months. She agrees to pay 2.5% interest the first month and 2.5% interest on the new total the second month. How much should Demi repay at the end of two months?
a.
$150.00
c.
$3150.00
b.
$151.88
d.
$3151.88
 

 46. 

On Friday, attendance at a movie theatre was 248 customers. On Saturday, it was 302% of Friday’s number. What was attendance on Saturday?
a.
82
c.
550
b.
302
d.
749
 

 47. 

Identify the following 3-D object.

mc047-1.jpg
a.
triangular pyramid
c.
rectangular prism
b.
triangular prism
d.
cylinder
 

 48. 

The minimum number of views needed to describe a 3-D object is
a.
1
b.
2
c.
3
d.
6
 

 49. 

A prism with sides that are perpendicular to the bases is called a
a.
cube
c.
regular prism
b.
perpendicular prism
d.
right prism
 

 50. 

What 3-D object can the net illustrated below be folded to create?

mc050-1.jpg
a.
cube
b.
cylinder
c.
oblong box
d.
sphere
 

 51. 

If only the two ends of the roof area need to be painted, what is the total surface area that needs to be painted?

mc051-1.jpg
a.
16.4 m2
b.
32.8 m2
c.
45.6 m2
d.
65.6 m2
 

 52. 

Which view best represents the top of this 3-D object?

mc052-1.jpg
a.
mc052-2.jpg
c.
mc052-4.jpg
b.
mc052-3.jpg
d.
mc052-5.jpg
 

 53. 

To find the surface area of a cube, you must know the dimensions of
a.
1 face
b.
2 faces
c.
3 faces
d.
6 faces
 

 54. 

A 3-D object that is turned so that the top moves to the right and downward is said to be turning in a(n)
a.
anti-clockwise rotation
c.
corner rotation
b.
clockwise rotation
d.
counter clockwise rotation
 

 55. 

A 3-D object with two parallel and congruent circular bases is a
a.
cylinder
c.
sphere
b.
rectangular prism
d.
triangular prism
 

 56. 

How many common denominators do the fractions mc056-1.jpg, mc056-2.jpg, and mc056-3.jpg have, between 1 and 50?
a.
3
b.
4
c.
5
d.
6
 

 57. 

Which fraction is the greatest, mc057-1.jpg, mc057-2.jpg, mc057-3.jpg, or mc057-4.jpg?
a.
mc057-5.jpg
b.
mc057-6.jpg
c.
mc057-7.jpg
d.
mc057-8.jpg
 

 58. 

Determine mc058-1.jpg, in lowest terms.
a.
mc058-2.jpg
b.
mc058-3.jpg
c.
mc058-4.jpg
d.
mc058-5.jpg
 

 59. 

Divide mc059-1.jpg.
a.
mc059-2.jpg
b.
mc059-3.jpg
c.
mc059-4.jpg
d.
mc059-5.jpg
 

 60. 

A survey showed that 64 students played hockey. This is mc060-1.jpg the number of students who played soccer. Determine how many students played soccer.
a.
47
b.
56
c.
88
d.
92
 

 61. 

How many faces are there in a rectangular prism?
a.
4
b.
6
c.
8
d.
10
 

 62. 

A rectangular garage has a volume of 480 m3, a length of 12 m and a width of 8 m. What is the height of the garage?
a.
4 m
b.
5 m
c.
6 m
d.
7 m
 

 63. 

A hockey puck has a radius of 3.7 cm and a thickness of 2.6 cm. What is its volume, to the nearest cubic centimetre?
a.
103 cm3
b.
108 cm3
c.
109 cm3
d.
112 cm3
 

 64. 

A doorknob shaped like a cylinder has a height of 4.8 cm and a volume of 94.2 cm3. What is the diameter of the doorknob?
a.
2.5 cm
b.
5.2 cm
c.
6.25 cm
d.
19.69 cm
 

 65. 

A wedge of cheese is shaped like a right triangular prism. The triangular ends have a base of 46 mm and a height of 58 mm. If the total volume of cheese is 32 016 mm3, what is the height of the prism?
a.
6 mm
b.
12 mm
c.
24 mm
d.
48 mm
 
 
Choose the best answer.
 

 66. 

Which multiplication statement represents the following addition statement?
4 + 4 + 4 + 4
a.
2 × 4
c.
4 × 44
b.
4 × 4
d.
44 × 44
 

 67. 

Determine which multiplication statement this diagram represents.

mc067-1.jpg
a.
mc067-2.jpg
c.
mc067-4.jpg
b.
mc067-3.jpg
d.
mc067-5.jpg
 

 68. 

Determine –5 × (–10) × (–2).
a.
100
c.
25
b.
mc068-1.jpg
d.
125
 

 69. 

What multiplication statement does this diagram represent?

mc069-1.jpg
a.
mc069-2.jpg
c.
mc069-4.jpg
b.
mc069-3.jpg
d.
mc069-5.jpg
 

 70. 

Evaluate –24 ÷ (–3).
a.
8
c.
72
b.
−8
d.
72
 

 71. 

What table of values is represented by this graph?

mc071-1.jpg
a.

mc071-2.jpg
c.

mc071-4.jpg
b.

mc071-3.jpg
d.

mc071-5.jpg
 

 72. 

What are the coordinates for point A on the graph?

mc072-1.jpg
a.
(3, 2)
c.
(–2, 3)
b.
(2, 3)
d.
(–3, 2)
 

 73. 

A graph of distance travelled for a car travelling at 95 km/h is shown. How long did it take to travel 380 km?

mc073-1.jpg
a.
2 h
c.
4 h
b.
3 h
d.
5 h
 

 74. 

Which of the following tables of values does not represent a linear relationship?
a.

mc074-1.jpg
c.

mc074-3.jpg
b.

mc074-2.jpg
d.

mc074-4.jpg
 

 75. 

Esteban deposited $1 into his bank account on the first day. The next day he deposited $2; on the third day he deposited $4. The table shows the amounts of the first 10 deposits. How much will he have in his account after 12 days?

Day
1
2
3
4
5
6
7
8
9
10
Amount ($)
1
2
4
8
16
32
64
128
256
512
a.
$1023
c.
$4095
b.
$2047
d.
$8191
 

 76. 

Which table of values is best represented by the linear relation mc076-1.jpg?
a.

mc076-2.jpg
c.

mc076-4.jpg
b.

mc076-3.jpg
d.

mc076-5.jpg
 

 77. 

If the grayed out section of the visual represents a positive fraction, what is the solution to the equation modelled by this diagram?

mc077-1.jpg
a.
1
c.
20
b.
4
d.
80
 

 78. 

Which operation should be used to isolate the variable in this equation?
mc078-1.jpg
a.
add 12
c.
multiply by 3
b.
divide by 3
d.
subtract 12
 

 79. 

The phrase “3 times a number, increased by 4, equals 15” can be modelled with the equation
a.
mc079-1.jpg
c.
mc079-3.jpg
b.
mc079-2.jpg
d.
mc079-4.jpg
 

 80. 

What is the solution to the equation mc080-1.jpg?
a.
12
c.
mc080-2.jpg
b.
6
d.
mc080-3.jpg
 

 81. 

When the result of one event has no effect on the outcome of another event, the event is called a(n)
a.
favourable outcome
c.
possible outcome
b.
independent event
d.
sample space
 

 82. 

Two six-sided dice are rolled. What is the probability of rolling the same number on both dice?
a.
mc082-1.jpg
b.
mc082-2.jpg
c.
mc082-3.jpg
d.
mc082-4.jpg
 

 83. 

A spinner divided into six equal parts has three green parts, two purple parts, and one white part. What is the probability of spinning green three times in three spins?
a.
12.5%
b.
25%
c.
37.5%
d.
50%
 

 84. 

The number of possible outcomes when randomly drawing from the cards shown below and flipping the coin is

mc084-1.jpg        
a.
5
b.
6
c.
10
d.
20
 

 85. 

You roll a four-sided die numbered 2, 4, 6, and 8, and you spin a spinner with five equal sections numbered 6, 7, 8, 9, 10. What is the probability of spinning the spinner and rolling the die to get a sum of 14?
a.
3%
b.
5%
c.
10%
d.
15%
 

 86. 

Four piles each contain five cards, numbered 2, 3, 4, 5, and 6. You draw once from each pile. What is the probability of drawing four sixes?
a.
mc086-1.jpg
b.
mc086-2.jpg
c.
mc086-3.jpg
d.
mc086-4.jpg
 

 87. 

A turn about a fixed point is called a(n)
a.
translation
c.
reflection
b.
rotation
d.
image
 

 88. 

Point C(0, 3) is translated three units right and one unit down. What are the new coordinates of point C?
a.
(3, 4)
c.
(2, 3)
b.
(3, 2)
d.
(2, 2)
 

 89. 

How many different regular polygons are used to make this tessellation?

mc089-1.jpg
a.
1
c.
3
b.
2
d.
4
 

 90. 

What is the original shape this Escher-style tessellation is based on?

mc090-1.jpg
a.
triangle
c.
pentagon
b.
quadrilateral
d.
octagon
 

Written Response.

Write your answers clearly on the test paper.  SHOW ALL WORK.
 

 1. 

Determine the length of the missing side. Round your answer to the nearest tenth.  (2 marks)

pr001-1.jpg



.
 

 2. 

Determine pr002-1.jpg. Express your answer in lowest terms.  Show your work.  (2 marks)





.
 

 3. 

Express pr003-1.jpg as an improper fraction in lowest terms.  Show your work.  (2 marks)





.
 

 4. 

As an improper fraction in lowest terms, what is pr004-1.jpg?  Show your work.  (2 marks)







.
 

 5. 

Evaluate –8 – 3(–2 – 1).  (2 marks)






.
 

 6. 

Determine –8 – (– 6) × 3 – 5 × (–3).  (2 marks)






.
 

 7. 

The height of a stack of flower pots can be modelled with the formula pr007-1.jpg, where n is the number of flower pots.
a) Complete the table of values for the first five flower pots.  (2 marks)

Number of Flower Pots, n
Height of the Stack, h (cm)
1
 
2
 
3
 
4
 
5
 



b)
Graph the ordered pairs.  Label axes and title of graph.  (4 marks)


pr007-2.jpg



c)
What is the height of a stack of 12 flower pots?  (2 marks)




.
 

 8. 

Solve for x.  Verify your answer

a)  2x - 5 = 17  (3 marks)









b)  pr008-1.jpg  (3 marks)










c)  42 = -6(x - 1)   (3 marks)







.
 

 9. 

Create a tree diagram to show all of the possible outcomes when spinning the spinner and tossing the die.  (2 marks)

pr009-1.jpg







.
 

 10. 

This shape is reflected over the y-axis. What are the coordinates of the new image?
(2 marks)


pr010-1.jpg
 



 
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