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Math 8 Practice Final #7



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

 1. 

If there are 104 flights a day in and out of Kelowna airport, and 10% of the flights are late, approximately many flights will arrive on time?
a.
10
c.
10
b.
94
d.
90
 

 2. 

City inspectors checked vehicles to see how many parked within the lines at a parkade. They found that 110 parked on one line, 76 parked on both lines, and 85 parked within the lines. What is the ratio of vehicles that parked within the lines to those who parked on a line?
a.
mc002-1.jpg
c.
mc002-3.jpg
b.
mc002-2.jpg
d.
mc002-4.jpg
 

 3. 

A picture frame has a width to length ratio of 8 by 11. If the width of the photo is 3.0 cm, the length of the photo to the nearest tenth of a centimetre is __________.
a.
2.2 cm
c.
24.0 cm
b.
88.0 cm
d.
4.1 cm
 

 4. 

Solve the proportion.
mc004-1.jpg
a.
mc004-2.jpg
c.
mc004-4.jpg
b.
mc004-3.jpg
d.
mc004-5.jpg
 

 5. 

One completely shaded grid represents 100%. What percent does this diagram represent?
mc005-1.jpg
a.
125%
c.
105%
b.
115%
d.
15%
 

 6. 

Express  mc006-1.jpg as a decimal to the nearest hundredth.
a.
0.83
c.
0.01
b.
1.2
d.
0.12
 

 7. 

In a recent survey, 382 students were asked about the type of pets they have. The results showed that 173 students have dogs, 63 students have cats, 30 students have goldfish, and the rest do not have pets. Approximately what percent of students do not have pets?
a.
mc007-1.jpg
c.
mc007-3.jpg
b.
mc007-2.jpg
d.
30mc007-4.jpg%
 

 8. 

A shirt costs $36 and is on sale with 15% off. If the GST is 5% and PST in the province where the shirt was bought is 5%, what is the total cost for the shirt?
a.
$36.00
c.
$32.13
b.
$32.13
d.
$33.66
 

 9. 

Jasmine borrows $600 and agrees to repay the loan after two months. She agrees to pay 1.2% interest the first month and 0.9% interest on the new total the second month. How much will Jasmine pay at the end of two months?
a.
$601.80
c.
$612.66
b.
$612.60
d.
$607.20
 

 10. 

The value of mc010-1.jpg is approximately _________.
a.
1.01
c.
1.00
b.
0.98
d.
0.99
 

 11. 

What is the side length of this square? Round your answer to the nearest tenth of a centimetre.

mc011-1.jpg
a.
225.0 cm
c.
30.0 cm
b.
450.0 cm
d.
42.4 cm
 

 12. 

One leg of a right triangle is 39 cm. The other leg is 78 cm. Approximately how long must the hypotenuse be? 
a.
61.7 cm
c.
67.5 cm
b.
87.2 cm
d.
117.0 cm
 

 13. 

Oliver is making a railing for a staircase. The staircase rises 3.6 m over a horizontal distance of 4.5 m. How long should the handrail be? Round your answer to the nearest tenth of a metre.

mc013-1.jpg
a.
2.8 m
c.
4.0 m
b.
5.8 m
d.
8.1 m
 

 14. 

Find the surface area of this rectangular prism.
mc014-1.jpg
a.
258 cm2
c.
270 cm2
b.
135 cm2
d.
129 cm2
 

 15. 

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

 16. 

How many 1-cm toothpicks do you need to build a net of a cube with side lengths of 2 cm?
a.
38
c.
12
b.
36
d.
48
 

 17. 

The area of one triangular base of an equilateral triangular prism is 20 000 cmmc017-1.jpg. The area of one of its rectangular faces is 6.25 mmc017-2.jpg.  What is the total surface area of the prism in square metres?
a.
58.75 m2
c.
18.50 m2
b.
22.75 m2
d.
20.75 m2
 

 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 cube root of 512?
a.
134 217 728
c.
24
b.
1536
d.
8
 

 20. 

Aria calculates the volume of a gift box measuring 35 cm mc020-1.jpg 30 cm mc020-2.jpg 20 cm. Her answer will be expressed in __________.
a.
quadratic centimetres
c.
cubic centimetres
b.
centimetres
d.
square centimetres
 

 21. 

A rectangular garage has a volume of 513 m3, a length of 19 m, and a width of 6 m. What is the height of the garage?
a.
13 m
c.
399 m
b.
25 m
d.
4.5 m
 

 22. 

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.

mc022-1.jpg
a.
11 cm
c.
19 cm
b.
20 cm
d.
13 cm
 

 23. 

A cylinder has its diameter, d, equal to its height, h. The volume of the cylinder is 6800 cm3. Determine the measurement that is closest to the volume of the biggest sphere that will fit inside the cylinder.
Hint: The formula for the volume of sphere is mc023-1.jpg.
mc023-2.jpg
a.
3400 cm3
c.
4530 cm3
b.
2270 cm3
d.
5100 cm3
 

 24. 

Determine which multiplication statement this diagram represents.

mc024-1.jpg
a.
mc024-2.jpg
c.
mc024-4.jpg
b.
mc024-3.jpg
d.
mc024-5.jpg
 

 25. 

When you multiply an odd number of negative integers by an odd number of positive integers, what type of integer do you always get?
a.
infinite integer
c.
positive integer
b.
negative integer
d.
zero
 

 26. 

A parking lot charges cars $3/hour to park. Determine the charge for parking for six hours.
a.
$2
c.
$18
b.
-$2
d.
-$18
 

 27. 

Evaluate –24 ¸ (–3).
a.
8
c.
72
b.
-8
d.
-72
 

 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 is the subtraction statement, in lowest terms, represented by the diagram shown?
mc029-1.jpg
a.
mc029-2.jpg - mc029-3.jpg
c.
mc029-6.jpg - mc029-7.jpg
b.
mc029-4.jpg - mc029-5.jpg
d.
mc029-8.jpg - mc029-9.jpg
 

 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 mc031-1.jpg + mc031-2.jpg, in lowest terms?
a.
mc031-3.jpg
c.
mc031-5.jpg
b.
mc031-4.jpg
d.
mc031-6.jpg
 

 32. 

Express the result of mc032-1.jpg - mc032-2.jpg + mc032-3.jpg, in lowest terms.
a.
mc032-4.jpg
c.
mc032-6.jpg
b.
mc032-5.jpg
d.
mc032-7.jpg
 

 33. 

As an improper fraction in lowest terms, what is mc033-1.jpg?
a.
mc033-4.jpg
c.
mc033-6.jpg
b.
mc033-5.jpg
d.
mc033-7.jpg
 

 34. 

As a fraction in lowest terms, what is mc034-1.jpg?
a.
mc034-4.jpg
c.
mc034-6.jpg
b.
mc034-5.jpg
d.
mc034-7.jpg
 

 35. 

The total area of Canada is about 9 985 000 km2. The total area of Nova Scotia is about mc035-1.jpg of the total area of Canada. What is the area of Nova Scotia?
a.
16 641 667 km2
c.
599 100 km2
b.
1 664 167 km2
d.
59 910 km2
 

 36. 

Calculate mc036-1.jpg.
a.
mc036-4.jpg
c.
mc036-6.jpg
b.
mc036-5.jpg
d.
mc036-7.jpg
 

 37. 

If a shaded tile represents a negative variable and a white tile represents a positive variable, what equation is being modelled by this diagram?
mc037-1.jpg
a.
mc037-2.jpg
c.
mc037-4.jpg
b.
mc037-3.jpg
d.
mc037-5.jpg
 

 38. 

For the equation 3x – 4 = 8, which operation should you undo second?
a.
multiplication
c.
subtraction
b.
addtion
d.
division
 

 39. 

Solve the equation –7y + 14 = 35.
a.
mc039-1.jpg
c.
mc039-3.jpg
b.
mc039-2.jpg
d.
mc039-4.jpg
 

 40. 

Thomas has scored 37 points in 9 hockey games this season. His goal for the season is to score 60 points. Which equation can be used to find the number of points, p, that Thomas must average in his last six games to reach his goal?
a.
37 – 6p = 60
c.
60 + 6p = 37
b.
37p + 6= 60
d.
37 + 6p = 60
 

 41. 

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
 

 42. 

What is the solution to the equation mc042-1.jpg?
a.
1
c.
17
b.
5
d.
22
 
 
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
 

 43. 

What equation relates time and distance?
a.
t = 0.011d
c.
t = 88d
b.
t = 8.8d + 1
d.
t= 8.8d  - 1
 
 
For the following questions, refert to the four graphs below:
nar002-1.jpgnar002-2.jpg
nar002-3.jpgnar002-4.jpg
 

 44. 

Which graph represents the linear relation y = 2x – 5?
a.
Graph C
c.
Graph B
b.
Graph D
d.
Graph A
 
 
Study this growing pattern of hexagons.
nar003-1.jpg
 

 45. 

What graph shows the relationship between the number of line segments, l, and the number of hexagons, h?
a.
mc045-1.jpg
c.
mc045-3.jpg
b.
mc045-2.jpg
d.
mc045-4.jpg
 

 46. 

Solve the equation –4y + 16 = 8.
a.
mc046-1.jpg
c.
mc046-3.jpg
b.
mc046-2.jpg
d.
mc046-4.jpg
 
 
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
 

 47. 

What is the range of Rawan’s data set?
a.
24 min
c.
20 min
b.
22 min
d.
23 min
 

 48. 

What is the probability of randomly drawing a red card from all of the diamonds in a deck of cards?
a.
25%
c.
50%
b.
100%
d.
0%
 

 49. 

If you spin this spinner 27 times, how many times might you expect it to land on C?
mc049-1.jpg
a.
18
c.
9
b.
3
d.
27
 

 50. 

In a board game, you can move any number of spaces up to and including the number you roll on a six-sided die. What is the probability that you will win on your next roll, if you are three spaces away from the finish line?
a.
mc050-1.jpg
c.
mc050-3.jpg
b.
mc050-2.jpg
d.
mc050-4.jpg
 



 
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