WorksheetsEngineering Foundation Quiz
Total questions: 34
Worksheet time: 17mins
Ohm's Law: V = I × R. What is the formula for R?
R = V ÷ I
R = V × I
R = I ÷ V
R = V + I
Newton’s 2nd Law: F = m × a. What is the formula for m?
m = F × a
m = a ÷ F
m = F ÷ a
m = F + a
Kinetic Energy: KE = ½ × m × v². What is the formula for v?
v = √(2 × KE ÷ m)
v = 2 × KE × m
v = KE ÷ (½ × m)
v = √(KE ÷ m)
What is the main purpose of a gear system?
To store electrical energy
To change the speed or torque of motion
To create heat
To measure temperature
In a belt and pulley system, what happens if the driven pulley is larger than the driver pulley?
Speed increases
Speed decreases
Speed stays the same
Belt breaks
Which of the following mechanisms converts rotary motion into reciprocating motion?
Rack and pinion
Cam and follower
Belt and pulley
Worm and wheel
Which of the following is a type of beam used in structures?
Circular beam
I-beam
Helical beam
Spherical beam
What type of force pulls a structural element apart?
Tension
Compression
Shear
Torsion
In a simply supported beam with a load in the middle, where is the bending moment greatest?
At the supports
In the middle of the beam
At one-quarter length
There is no bending moment
What does the “mean” of a data set represent?
The middle value
The most frequent value
The average value
The largest value
A machine produces 10 components. The lengths (in mm) are: 20, 21, 22, 19, 21, 20, 20, 22, 21, 20. What is the mode?
A) 21
B) 22
C) 20
D) 19
In an engineering test, the mean stress on a material is 300 MPa with a standard deviation of 20 MPa. What is the stress range within 1 standard deviation of the mean?
A) 280 MPa – 320 MPa
B) 250 MPa – 350 MPa
C) 300 MPa – 320 MPa
D) 290 MPa – 310 MPa
What does differentiation find?
The average of a function
The area under a curve
The rate of change or slope
The maximum height
Which of the following is the derivative of a constant value like 7?
7
1
0
x
If y = 3x3+2x2−x+5 , what is dy/dx?
9x2+4x−1
9x + 4x - 1
3x2+4x−5
x3+x2−x
In a right-angled triangle, which ratio defines the cosine of an angle?
Opposite / Hypotenuse
Adjacent / Hypotenuse
Opposite / Adjacent
Hypotenuse / Adjacent
What is the correct expression for the Pythagorean Theorem in a right triangle?
a2+b2=c
B) a + b = c
a2+b2=c2
ab=c2
A ladder leans against a wall, forming a 60° angle with the ground. The ladder is 10 m long. How high up the wall does it reach? (Use sine)
5 m
8.66 m
6.5 m
10 m
What is the formula for calculating a moment?
Moment = Force ÷ Distance
Moment = Force × Distance
Moment = Force + Distance
Moment = Force - Distance
A uniform beam is balanced horizontally on a pivot at its centre. A 30 N weight is placed 2 m to the left of the pivot. How far from the pivot should a 20 N weight be placed on the right to balance it?
1 m
2 m
3 m
4 m
A 2 m beam is supported at both ends. A 200 N load is placed 0.5 m from the left end. What is the reaction force at the right support?
50 N
100 N
150 N
75 N
What is Newton's First Law of Motion?
Force equals mass times acceleration
Every action has an equal and opposite reaction
An object remains at rest or in uniform motion unless acted on by a force
Energy cannot be created or destroyed
A 2 kg object is accelerating at 3 m/s². What is the net force acting on it?
1.5 N
6 N
5 N
3 N
A block is lifted vertically by a crane. It weighs 500 N and is raised 10 m. What is the work done?
5000 J
50 J
510 N
500 J
What does the gradient (slope) of a distance-time graph represent?
Acceleration
Time
Speed
Distance
If a graph shows a curve getting steeper, what does this suggest about the rate of change?
It’s constant
It’s decreasing
It’s increasing
It’s zero
A velocity-time graph has a straight, sloping line upwards from 0 to 10 seconds. What does the area under the line represent?
Acceleration
Force
Displacement
Power
Which of the following materials is an electrical insulator?
Steel
Aluminium
Wood
Copper
Which material is best suited for making aircraft bodies due to its high strength-to-weight ratio?
Lead
Aluminium alloy
Cast iron
Brass
A component must deform under load and return to its original shape. Which property is most relevant?
Plasticity
Hardness
Elasticity
Ductility
Which of the following is a permanent joining method?
Bolting
Screwing
Welding
Clamping
Which type of joint allows for easy disassembly and reassembly?
Welded joint
Riveted joint
Adhesive joint
Bolted joint
Which type of joint is commonly used for joining structural members?
Welded joint
Riveted joint
Soldered joint
Bolted joint
Which factor is most important when selecting a joining method for structural applications?
Cost of paint
Joint strength and load capacity
Availability of glue
Colour of the materials
