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Practice Exam 1-2
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1
Sasha is buying a new car and doing research on the Internet. Car A is listed as getting 23.5 miles per gallon in the city. Car B is listed as using 10.3 L per 100 km of city driving. Which car is more fuel-efficient?
A)Car A
B)Car B
C)Both cars are equally efficient.
D)There is not enough information to solve this problem.
2
Light travels at approximately 186,000 miles per second in a vacuum. The sun is about 93 million miles from the Earth. How long does it take light from the sun to reach the earth?
A)500 minutes
B)0.0005 seconds
C)8 1/3 minutes
D)50 seconds
3
Fill in the blank: Two triangles are said to be similar when _________________ are equal.
A)their angles
B)their corresponding sides
C)the lengths of their sides and their corresponding angles.
D)the ratios of their corresponding sides as well as their corresponding angles
4
Find the value of x in the diagram below:
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A)47o
B)133o
C)52o
D)81o
5
At a certain time of day Jaquon (who is 4.2 ft tall) casts a shadow which is 2.5 ft long. His friend Ray (who is 4.4 ft tall) is standing next to him. How long will Ray’s shadow be to the nearest tenth?
A)2.6 m
B)2.6 ft
C)2.62 ft
D)7.4 ft
6
Find the value of x in the diagram below:
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A)4 cm
B)6 cm
C)9 cm
D)10 cm
7
Vakil wants to paint the walls of his room, which measures 25 ft by 22 ft by 7 ft. A can of paint costs $12 and has enough paint to cover 50 ft2 of wall. How much money will Vakil need to buy enough paint to cover all the walls of his room?
A)$14
B)$84
C)$156
D)$168
8
Find the length of the missing side in the diagram below to the nearest hundredth of a centimetre:
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A)7 cm
B)7.15 cm
C)7.2 cm
D)16.17 cm
9
Find the length of the missing side in the diagram below to the nearest centimetre:
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A)18 cm
B)17 cm
C)5 cm
D)17.69 cm
10
What is the sine of angle C in the diagram below?
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A)0.6
B)4/3
C)0.8
D)1.25
11
What is the cosine of angle C in the diagram below?
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A)0.96
B)0.29
C)0.28
D)1 1/24
12
What is the tangent of angle C in the diagram below?
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A)12/13
B)13/12
C)Not enough information to solve problem
D)2.4
13
You are 20 metres horizontally away from a tree. The angle of elevation to the top of the tree is 50o. To the nearest metre, the height of the tree is:
A)23 m
B)24 m
C)13 m
D)15 m
14
A 15 ft ladder rests against a wall. The bottom of the ladder is 3 ft away from the wall. What is the angle between the ground and the ladder to the nearest tenth of a degree?
A)78.7o
B)11.5o
C)79o
D)78.5o
15
Two apartment buildings are 75 m apart. From the top of the shorter building you find the angle of elevation to the taller building is 40o and the angle of depression to the bottom is 31o. What is the height of the taller building, to the nearest metre?
A)45 m
B)63 m
C)108 m
D)Cannot be determined with the information given







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