Power Engineering 4th Class
Assignment #1 – Preparatory Mathematics
Instructions: Questions may be answered on this assignment or on separate paper. Ensure that
all questions are clearly labeled. Show all your work.
Question 1 (1 mark)
What is the SI unit for mass?
Question 2 (1 marks each = 4 marks)
Convert the following units. Round to the 10th, if necessary.
a) 3500 g to kg.
b) 1 MW to mW.
c) 20 m/s to km/hr.
d) 82 kg to pounds.
Question 3 (2 marks)
Solve the area in square feet (ft2) for a rectangle with a length of 6’ 3” and a width of 4’ 2 ½”.
Round your answer to the 10th. (A = L x W)
Question 4 (2 marks)
Simplify the following equation to a single fraction.
𝑥 − 6 𝑥 + 5𝑦
−
=
2𝑥
2𝑦
Question 5 (2 marks each = 4 marks)
Solve the following operations with fractions. Answers must be in lowest terms.
1
1
3
3
1
3
a) 3 5 + 2 4 − 1 8 =
b) 1 4 × 4 2 ÷ 1 8 =
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Question 6 (1 mark)
Convert 0.3125 to a fraction in lowest terms.
Question 7 (2 marks)
If a worker received a 15% raise that brought their hourly pay rate to $32.75 what was their
initial wage to the nearest cent?
Question 8 (2 marks)
A Power Wheels children’s quad is able to reach a top speed of 4 km/hr while powered by a
12V battery. If the voltage was increased to 18V, what would be the expected top speed?
Question 9 (2 marks)
A driving gear has 80 teeth and rotates at 450 RPM. If the driving gear was replaced with a 150tooth gear, what would the RPM’s be?
Question 10 (2 marks)
Rearrange the following equation for “Q”.
𝑉=
8𝑄 2
(𝑃 − 5)
𝑊3
Question 11 (2 marks)
Solve the following equation, round your answer to the 10th.
𝑊=(
𝑇2 = 135
𝑇2 𝐷1 2
)
ln 𝑋
𝐷1 = 1.25
𝑋 = 0.1
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Question 12 (4 marks each = 8 marks)
Solve for both perimeter and area for the following shapes. Round your answers to the 10th, if
applicable.
a)
b)
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Question 13 (1 mark)
Which two angles have a cosine value of 0?
Question 14 (1 mark each = 3 marks)
Solve for all of the missing measurements in the following triangle. Round your answers to the
10th, if applicable.
A = __________
B = __________
C = 42°
a = 15.5 cm
b = 11.8 cm
c = ___________
Question 15 (4 marks each = 8 marks)
Use the image to answer the following questions. Round your answers to the 10th, if applicable.
a) Calculate the total volume in cubic meters for the hopper.
b) Calculate the surface area of the hopper. Omit the top and bottom squares from your
calculation.
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