FE Mechanical Exam Study
Guide – Practice Questions
with Answers. GRADED A+.
Latest 2026/2027 Update.
Question:
What is the relationship between coefficient of thermal expansion (α) and
thermal conductivity (k)?
Inversely proportional
Question:
What is the stress in a rod with a cross-sectional area of 2cm² subjected to an
axial load of 1000N ?
Question:
If the principal stresses are equal, what is teh shape of Mohr's circle?
A point
Question:
What is the equation of the line passing though points (2,4) and (6,10)?
y = 2x + 2
Question:
Find the distance between the points (3,7) and (6,11).
,5
Question:
What is the midpoint of the line segment joining the points (1,2) and (3,6)
(2,4)
Question:
Which of the following points lies on the line y = 3x - 4
(0,-4)
Question:
What is the radius of the circle with the equation (x-3)² + (y+2)² = 25
5
Question:
Find the angle in degrees between the vectors a= (1,2) and b = (2,3).
30°
Question:
What is the length of the hypotenuse of the right triangle with legs of lengths 9
and 12?
15
Question:
The angle of elevation from a point on the ground to the top of a building is
45°. If the building is 100 meters tall, what is the distance from the point to the
base of the building?
100 meters
Question:
If the equation of a circle is x² +y² -6x + 8y + 9 = 0, what are the coordinates of
its center?
(3,-4)
,Question:
Find the equation of the line that is perpendicular to y = -2x + 5 and passes
through the point (4,1).
y = ½x - 1
Question:
What is the value of sin(30deg)?
½
Question:
Find the area of a triangle with vertices at (0,0),(4,0), and (4,3).
6
Question:
What is the derivative of f(x) = 3x² + 5x + 2?
6x + 5
Question:
Evaluate the integral ∫(2x² - 4x)dx.
½x⁴ - 2x² + C
Question:
Find the limit lim(x→0) sin (x)/x
1
Question:
What is the second derivative of f(x) = x³ - 3x² +2x?
6x - 6
Question:
Evaluate ∫(0→1) of x² dx.
1/3
, Question:
What is the derivative of f(n) = e²ⁿ ?
2e²ⁿ
Question:
Find the integral of ∫(1/x) dx.
ln|x| + C
Question:
What is the value of lim(x→∞) 1/x ?
0
Question:
Find the integral ∫(3x² -2x +1)dx.
x³ - x² + x + C
Question:
Find the derivative of f(x) = ln(x).
1/x
Question:
What is the value of lim(x→1) (x²-1)/(x-1) ?
2
Question:
Evaluate ∫(1→2) 3x² dx.
5
Question:
What is the general solution to the differential equation dy/dx = 3y?
y-Ce^3x
Question:
Guide – Practice Questions
with Answers. GRADED A+.
Latest 2026/2027 Update.
Question:
What is the relationship between coefficient of thermal expansion (α) and
thermal conductivity (k)?
Inversely proportional
Question:
What is the stress in a rod with a cross-sectional area of 2cm² subjected to an
axial load of 1000N ?
Question:
If the principal stresses are equal, what is teh shape of Mohr's circle?
A point
Question:
What is the equation of the line passing though points (2,4) and (6,10)?
y = 2x + 2
Question:
Find the distance between the points (3,7) and (6,11).
,5
Question:
What is the midpoint of the line segment joining the points (1,2) and (3,6)
(2,4)
Question:
Which of the following points lies on the line y = 3x - 4
(0,-4)
Question:
What is the radius of the circle with the equation (x-3)² + (y+2)² = 25
5
Question:
Find the angle in degrees between the vectors a= (1,2) and b = (2,3).
30°
Question:
What is the length of the hypotenuse of the right triangle with legs of lengths 9
and 12?
15
Question:
The angle of elevation from a point on the ground to the top of a building is
45°. If the building is 100 meters tall, what is the distance from the point to the
base of the building?
100 meters
Question:
If the equation of a circle is x² +y² -6x + 8y + 9 = 0, what are the coordinates of
its center?
(3,-4)
,Question:
Find the equation of the line that is perpendicular to y = -2x + 5 and passes
through the point (4,1).
y = ½x - 1
Question:
What is the value of sin(30deg)?
½
Question:
Find the area of a triangle with vertices at (0,0),(4,0), and (4,3).
6
Question:
What is the derivative of f(x) = 3x² + 5x + 2?
6x + 5
Question:
Evaluate the integral ∫(2x² - 4x)dx.
½x⁴ - 2x² + C
Question:
Find the limit lim(x→0) sin (x)/x
1
Question:
What is the second derivative of f(x) = x³ - 3x² +2x?
6x - 6
Question:
Evaluate ∫(0→1) of x² dx.
1/3
, Question:
What is the derivative of f(n) = e²ⁿ ?
2e²ⁿ
Question:
Find the integral of ∫(1/x) dx.
ln|x| + C
Question:
What is the value of lim(x→∞) 1/x ?
0
Question:
Find the integral ∫(3x² -2x +1)dx.
x³ - x² + x + C
Question:
Find the derivative of f(x) = ln(x).
1/x
Question:
What is the value of lim(x→1) (x²-1)/(x-1) ?
2
Question:
Evaluate ∫(1→2) 3x² dx.
5
Question:
What is the general solution to the differential equation dy/dx = 3y?
y-Ce^3x
Question:
