Name: 
 

Math 8 Practice Final #4


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

 1. 
A stable has 80 horses available for trail rides. Of these horses, 28 are all brown, 15 are mainly white, and the rest are black. Express in lowest terms the ratio of brown horses to mainly white horses to black horses.
a.
15:37:28
c.
80:15:37
b.
28:15:80
d.
28:15:37
 

 2. 
A 500-mL carton of 1% milk sells for $1.80. A 450-mL carton of 2% milk sells for $1.39. What is the difference in the cost per 100 mL of these two cartons of milk?
mc002-1.jpg
a.
5¢/100 mL
c.
10¢/100 mL
b.
2.5¢/100 mL
d.
0.5¢/100 mL
 

 3. 
You have $650 in Canadian dollars that you want to change to U.S. dollars. On the day you make the exchange, $1 CND is worth approximately $1.19 USD. What amount of U.S. dollars will you get?
a.
$773.50
c.
$556.22
b.
$546.22
d.
$763.50
 

 4. 
Bryant installs ceramic tiles in his kitchen, which has an area of 36 ft2. He uses tiles that are 6 inches by 6 inches. Each tile costs $1.09. What is the minimum amount of money Bryant has to spend on the tiles for the kitchen floor?
mc004-1.jpg
a.
$313.92
c.
$78.48
b.
$156.96
d.
$39.24
 

 5. 
Yuri and his classmates ate 0.8% of a batch of pretzels made at his father’s pretzel shop. How much of the batch is left if its original mass was 350 kg?
a.
348 kg
c.
344.4 kg
b.
347.2 kg
d.
2.8 kg
 

 6. 
Five-sevenths of a percent of the volume of apple juice in a container is approximately 10.36 mL. What is the total volume of apple juice in the container?
a.
145.00 L
c.
1.45 L
b.
14.50 L
d.
0.15 L
 

 7. 
If GST is 5% and PST is 6%, what is the total price of a $14 545 car?
a.
$14 690.45
c.
$15 272.25
b.
$15 417.70
d.
$16 144.95
 

 8. 
Ivy spends mc008-1.jpg h on homework. She spends 42 min on math. Calculate the percent of homework time Ivy spends on math.
a.
33%
c.
72%
b.
28%
d.
21%
 

 9. 
Hoodies are on sale for 20% off. If Faye buys two at the same price, she will get an additional 5% off the second one. She decides to buy two hoodies that sell for $27.99 each. How much will Faye pay before tax?
mc009-1.jpg
a.
$43.38
c.
$41.99
b.
$46.18
d.
$48.98
 

 10. 
What is the prime factorization of 385?
a.
mc010-1.jpg
c.
mc010-3.jpg
b.
mc010-2.jpg
d.
mc010-4.jpg
 

 11. 
A square has an area of 81 cm2. Find the side length of the square. Round your answer to the nearest tenth of a centimetre.
a.
9.0 cm
c.
6.4 cm
b.
12.7 cm
d.
20.3 cm
 

 12. 
A moving truck ramp has a vertical height of 78 cm and a horizontal length of 431 cm. What is the length of the ramp to the nearest centimetre?
a.
431 cm
c.
438 cm
b.
353 cm
d.
424 cm
 

 13. 
What is the approximate perimeter of the kite shown? 

mc013-1.jpg
Diagram not drawn to scale
a.
47.9 cm
c.
24.0 cm
b.
11.2 cm
d.
7.9 cm
 
 
nar001-1.jpg
 

 14. 
Given the four views of the same die, how many dots will be found on the bottom face of this die?

mc014-1.jpg
a.
2
c.
4
b.
6
d.
1
 

 15. 
In the figure shown, the hole extends straight through to the other side. Calculate the total surface area of the figure.

mc015-1.jpg
Diagram not drawn to scale
a.
291.83 cm2
c.
282.85 cm2
b.
171.84 cm2
d.
280.06 cm2
 

 16. 
In most cases, which view tells you the height of an object?
a.
top
c.
front
b.
side
d.
b or c
 
 
The net for a cylindrical can is shown.
nar002-1.jpg
 

 17. 
What is the total area of the net, to the nearest tenth of a square centimetre?
a.
131.6 cm2
c.
141.1 cm2
b.
112.8 cm2
d.
161.1 cm2
 

 18. 
A hockey puck has a radius of 3.7 cm and a thickness of 2.6 cm. What is its surface area, to the nearest square centimetre?
a.
109 cmmc018-2.jpg
c.
108 cmmc018-4.jpg
b.
112 cmmc018-3.jpg
d.
101 cmmc018-5.jpg
 

 19. 
What is the surface area to volume ratio for the prism shown?
mc019-1.jpg
a.
0.43
c.
0.22
b.
1.16
d.
2.32
 

 20. 
What is the volume to surface area ratio for the prism shown?
mc020-1.jpg
a.
1.24
c.
0.4
b.
0.81
d.
0.62
 

 21. 
A set of 6 congruent storage drawers has a total volume of 99 800 cm3. The area of the base of each drawer is 1280 cm2. Determine the height of each drawer, to the nearest centimetre.

mc021-1.jpg
a.
11 cm
c.
19 cm
b.
20 cm
d.
13 cm
 

 22. 
Determine the volume of the right triangular prism.
mc022-1.jpg
Diagram not drawn to scale
a.
180 m3
c.
360 m3
b.
780 m3
d.
390 m3
 

 23. 
A block of cheese is in the shape of a prism whose bases are congruent trapezoids. Determine the volume of a box just large enough to contain the cheese.
mc023-1.jpg
Diagram not drawn to scale
a.
711.2 cm3
c.
291.2 cm3
b.
355.6 cm3
d.
420 cm3
 

 24. 
Determine –5 ´ (–10) ´ (–2).
a.
-100
c.
25
b.
mc024-1.jpg
d.
125
 

 25. 
Complete –8 – (–9) + 11.
a.
-6
c.
10
b.
-10
d.
12
 

 26. 
Evaluate –8 – 3(–2 – 1).
a.
-14
c.
1
b.
-5
d.
21
 

 27. 
What is the result of subtracting 8 from the quotient of 16 divided by 4?
a.
-2
c.
-6
b.
-4
d.
-8
 

 28. 
Determine the result of subtracting 12 from the product of –7 times 6, dividing the answer by 2, and then subtracting –8.
a.
-19
c.
9
b.
-11
d.
14
 

 29. 
What are the common factors of 15 and 225?
a.
1, 3, 5, 15
c.
1, 3, 5
b.
1, 15
d.
1, 3, 15
 

 30. 
Determine the result of mc030-1.jpg - mc030-2.jpg, in lowest terms.
a.
mc030-3.jpg
c.
mc030-5.jpg
b.
mc030-4.jpg
d.
mc030-6.jpg
 

 31. 
What is the result of mc031-1.jpg mc031-2.jpg mc031-3.jpg mc031-4.jpg mc031-5.jpg, in lowest terms?
a.
mc031-6.jpg
c.
mc031-8.jpg
b.
mc031-7.jpg
d.
mc031-9.jpg
 

 32. 
What is mc032-1.jpg when it is written as a mixed number? 
a.
mc032-2.jpg
c.
mc032-4.jpg
b.
mc032-3.jpg
d.
mc032-5.jpg
 

 33. 
Determine mc033-1.jpg. Express your answer in lowest terms.
a.
mc033-4.jpg
c.
mc033-6.jpg
b.
mc033-5.jpg
d.
mc033-7.jpg
 

 34. 
Calculate mc034-1.jpg. Express your answer in lowest terms.
a.
mc034-5.jpg
c.
mc034-7.jpg
b.
mc034-6.jpg
d.
mc034-8.jpg
 

 35. 
Calculate mc035-1.jpg mc035-2.jpg.
a.
mc035-3.jpg
c.
mc035-5.jpg
b.
mc035-4.jpg
d.
mc035-6.jpg
 

 36. 
Calculate 1mc036-1.jpg.
a.
mc036-6.jpg
c.
mc036-8.jpg
b.
mc036-7.jpg
d.
mc036-9.jpg
 

 37. 
For the equation 2x + 3 = 13, which operation should you undo first?
a.
division
c.
addition
b.
multiplication
d.
subtraction
 

 38. 
Jennie is selling her CD player and 6 CDs. She is selling the CD player and the CDs for $480.00 altogether. If the CD player costs $300, what is the value of each CD?
a.
$30
c.
$130
b.
$80
d.
$1080
 

 39. 
What is the solution to the equation mc039-1.jpg?
a.
–6
c.
–36
b.
4
d.
–42
 

 40. 
If a shaded tile represents a negative variable and a white tile represents a positive variable, what is the solution to the equation being modelled by this diagram?
mc040-1.jpg
a.
–7
c.
–2
b.
23
d.
–5
 
 
Benjamin drives from Vancouver to Nelson.  The total distance is 660 km, which took 7.5 hours to drive. He uses a table to record the data.

Time t (h)
Distance d (km)
1.1
94
2.1
189
3.2
283
4.3
377
5.4
471
6.4
566
7.5
660
 

 41. 
What graph represents the linear relation?
a.

mc041-1.jpg
c.

mc041-3.jpg
b.

mc041-2.jpg
d.

mc041-4.jpg
 

 42. 
What was Benjamin’s average driving speed?
a.
112 km/h
c.
303 km/h
b.
94 km/h
d.
81 km/h
 

 43. 
What are the next two numbers in the pattern 6, 8, 10, 12, ... ?
a.
14 and 16
c.
20 and 22
b.
16 and 18
d.
18 and 20
 
 
Study this growing pattern of rhombuses.
nar004-1.jpg
 

 44. 
What graph shows the relationship between the number of line segments, l, and the number of rhombuses, r?
a.
mc044-1.jpg
c.
mc044-3.jpg
b.
mc044-2.jpg
d.
mc044-4.jpg
 
 
Study this growing pattern of rhombuses.
nar005-1.jpg
 

 45. 
What linear relation shows the relationship between the number of line segments, l, and the number of squares, s?
a.
l = 4 + s
c.
l = 2s - 2
b.
l = 4s – 1
d.
l = 2s + 2
 

 46. 
If a shaded tile represents a negative variable and a white tile represents a positive variable, what equation is being modelled by this diagram?
mc046-1.jpg
a.
mc046-2.jpg
c.
mc046-4.jpg
b.
mc046-3.jpg
d.
mc046-5.jpg
 

 47. 
Benjamin keeps track of all the goals his soccer team scores. Only six players scored goals throughout the season. The mean number of goals scored per player is 18. If three players each scored 24 goals and two players each scored 14 goals, how many goals did the sixth player score?
a.
24
c.
8
b.
20
d.
19
 

 48. 
If the following data set has a mean of 64, what number is missing?
?   51   64   72   74
a.
67
c.
76
b.
71
d.
59
 
 
The goal-scoring records of some students at the Canadian Junior National Soccer Camp are 16, 10, 10, 15, 7, 19, 9, 9, 16, 19, 5, 7, 20, 14, 19
 

 49. 
What is the mean of the set of data for students at the Canadian Junior National Soccer Camp?
a.
19
c.
16
b.
14
d.
13
 
 
Rawan is doing a school project where she has to exercise every day of the week. The table shows how long she exercised each day last week.
 
Day of the Week
Exercise Time (min)
Monday
27
Tuesday
27
Wednesday
25
Thursday
27
Friday
26
Saturday
49
Sunday
29
 

 50. 
Which is the best measure of central tendency for Rawan’s data set?
a.
median
c.
range
b.
mean
d.
mode
 



 
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