Math Refresher / Quantitative Assessment GLY3160 / PHY3160
NAME: ___________________________
The following questions are designed to help assess whether or not you have the necessary quantitative skills to succeed in this course. Please answer the following questions without the aid of a calculator . You will not be graded on this activity, but this should help you realize if you will need some extra help with your math skills in this course. If you do poorly, do not despair. There are many ways that you can help yourself improve your quantitative skill set, but you should speak with me if you need help.
1.
If 𝑥 −
5
9 𝑥 = 4 Then 𝑥 = ? a) -36 b) -1 c) 1 d) 9 e) 41
2.
8.4 𝑥 10
4
1.4 𝑥 10 6
= a) 6.0 x 10 -3 b) 6.0 x 10 -2 c) 6.0 x 10 -1 d) 6.0 x 10 2 e) 6.0 x 10 3
3.
If a map is drawn to a scale of 3 inches to 200 miles, how many inches on the map represent 300 miles? b)
3
2
b) 2 c)
9
2
d) 6 e) 9
4.
If 5 pounds of apples cost K cents, then the cost of 8 pounds of apples is c) 0.625 K cents b) 1.375 K cents c) 1.6
K cents d) 5 K cents e) 8 K cents
5.
6.
7.
8.
A student who correctly answered 60 questions on a test received a score of 75%. How many questions were on the test? a) 45 b) 75 c) 80 d) 85 e) 125
10 6 is how many times larger than 10 3 ? a) 2 b) 3 c) 10 d) 100 e) 1000
The perimeter of a rectangular field is 1,200 feet, and the field is 50 feet longer than it is wide. What is the length, in feet, of the field? a) 250 b) 275 c) 300 d) 325 e) 625 𝜋
4
rad = ____ degrees a) 30 b) 45 c) 60 d) 90 e) 180
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Math Refresher / Quantitative Assessment GLY3160 / PHY3160
9.
Which of the following plots could be a portion of the graph y = -x ? Answer: _____
10.
Which of the following plots could be a portion of the graph y = 2(x+2) ? Answer: _____
11.
Which of the following plots could be a portion of the graph y = 2x+2 ? Answer: _____ a) y y
0 x 0 x c) y y
0 x 0 x e) y y
0 x
0 x
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Math Refresher / Quantitative Assessment
12.
Make a sketch of 𝒚 = 𝒔𝒊𝒏 𝒙 y
1
-1
0
π 2π 3π x
13.
Make a sketch of 𝒚 = 𝒄𝒐𝒔 𝒙 y
1
GLY3160 / PHY3160
0
π 2π 3π x
-1
14.
𝑑
Determine the derivatives with respect to x of the following functions…i.e. find f’
(x)
or 𝑑𝑥 a) f
(x)
= x 𝑓
or 𝑑𝑓 𝑑𝑥 b) f
(x)
= mx + b c) f
(x)
= -3x 2 + 4x + 3 d) f
(x)
= cos x
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Math Refresher / Quantitative Assessment GLY3160 / PHY3160
15.
Determine the following integrals with respect to x…i.e. ∫ 𝑓
(𝑥) 𝑑𝑥 : a) f
(x)
= x b) f
(x)
= mx + b c) f
(x)
= -3x 2 + 4x + 3 d) f
(x)
= cos x
You may use a calculator for these last two problems.
16.
Determine the length of side C and the angle β (in degrees) of the triangle below (show your work!)
C
C = ________
2.5 m
5.5 m
β
β = ________
17.
You are in a car with a velocity in the east direction of 3.0 m/s and a north velocity of -2.0 m/s. What is your net velocity and what direction (in azimuth) are you traveling? (show your work!).
Net Velocity = __________
Azimuth = __________
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