Free Printable Level 4 Engineering knowledge check

1.

Which equation is used for determining the area of a parallelogram?

a)

b)

c)

d)

e)

2.

Which equation is used for determining the area of a rectangle?

a)

b)

c)

d)

e)

3.

Which equation is used for determining the area of a circle?

a)

b)

c)

d)

e)

4.

Which equation is used for determining the area of a trapezium?

a)

b)

c)

d)

e)

5.

Which equation is used for determining the area of a triangle?

a)

b)

c)

d)

e)

6.

Conversion of length between common units, i.e. meters, centimeters and millimeters

a)

Meters to centimeters

b)

Centimeters to millimeters

c)

Millimeters to meters

d)

All of the above

7.

Where would the equivalent point force load to the presented uniformly distributed load be applied?

a)

b)

c)

d)

8.

Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Which formula represents this theorem?

a)

a^2 + b^2 = c^2

b)

a^2 - b^2 = c^2

c)

a^2 + b^2 = 2c^2

d)

a^2 = b^2 + c^2

9.

Where would the equivalent point force load to the presented uniformly distributed load be applied?

a)

b)

c)

d)

10.

Angles and Triangle formulae

a)

Sum of angles in a triangle is 180 degrees

b)

Sum of angles in a triangle is 360 degrees

c)

Sum of angles in a triangle is 90 degrees

d)

Sum of angles in a triangle is 270 degrees

11.

What is the Cosine rule

a)

a^2 = b^2 + c^2 - 2bc * cos(A)

b)

a^2 = b^2 + c^2 + 2bc * cos(A)

c)

a^2 = b^2 - c^2 - 2bc * cos(A)

d)

a^2 = b^2 - c^2 + 2bc * cos(A)

12.

What is the Sine rule?

a)

a formula to find the area of a triangle

b)

a formula to find the sides of a triangle

c)

a formula to find the angles of a triangle

d)

a formula to find the sides and angles of a triangle

13.

What type of triangle in which one angle is a $90^o$ angle?

a)

right-angled triangle

b)

isosceles triangle

c)

scalene triangle

d)

acute triangle

14.

The Pythagorean Theorem tells us that the relationship in every right triangle is

a)

$a^2b^2=c^2$

b)

$a^2+b^2=c^2$

c)

$a^2\div b^2=c^2$

15.

___________ is the longest side of the right triangle.

a)

Opposite

b)

Hypotenuse

c)

Adjacent

d)

Trigonometry

16.

Which side is opposite angle x?

a)

1

b)

2

c)

3

17.

Which side is adjacent angle x?

a)

1

b)

2

c)

3

18.

$Sin\ \theta=\ ?$

a)

$\frac{Opposite}{Adjacent}$

b)

$\frac{Adjacent}{Opposite}$

c)

$\frac{Opposite}{Hypotenuse}$

d)

$\frac{Adjacent}{Hypotenuse}$

19.

$Cos\ \theta\ =?$

a)

$\frac{Opposite}{Adjacent}$

b)

$\frac{Adjacent}{Opposite}$

c)

$\frac{Opposite}{Hypotenuse}$

d)

$\frac{Adjacent}{Hypotenuse}$

20.

$Tan\ \theta\ =?$

a)

$\frac{Opposite}{Adjacent}$

b)

$\frac{Adjacent}{Opposite}$

c)

$\frac{Opposite}{Hypotenuse}$

d)

$\frac{Adjacent}{Hypotenuse}$

21.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

22.

What is the ratio of $\cos E$ ?

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

23.

$Co\sec\ \theta=\ ?$

a)

$\frac{1}{\sin\theta}$

b)

$\frac{1}{\cos\theta}$

c)

$\frac{1}{\tan\theta}$

24.

$Sec\ \theta=\ ?$

a)

$\frac{1}{\sin\theta}$

b)

$\frac{1}{\cos\theta}$

c)

$\frac{1}{\tan\theta}$

25.

$Cot\ \theta=\ ?$

a)

$\frac{1}{\sin\theta}$

b)

$\frac{1}{\cos\theta}$

c)

$\frac{1}{\tan\theta}$

26.

Which trigonometric ratio you would use to find side AB?

a)

$Cos\ \ 60^o=\frac{AB}{10}$

b)

$Sin\ \ 60^o=\frac{AB}{10}$

c)

$Tan\ \ 60^o=\frac{AB}{10}$

27.

Solve for the missing angle.

a)

$53.13^o$

b)

$48.59^o$

c)

$41.41^o$

d)

$36.87^o$

28.

What is the primary function of a building structure?

a)

support and transmit the building loads/Functions and forces to the ground

b)

support and transmit the building loads and forces

c)

support and transmit the building loads and forces to the ground

d)

none of the above

29.

Any action that causes a change in the shape or motion of an object is known as a ....

a)

load

b)

structural load

c)

force

d)

lateral impact

30.

A force that acts perpendicular to the axis of the member, causing the internal particles of the member to slide against each other.

a)

Compression

b)

Shear

c)

Torsion

d)

Tension

31.

A structural element that carries a load that is applied transverse (perpendicular) to its length and the top fibers are in compression; the bottom fibers are in tension....

a)

column

b)

truss

c)

beam

d)

footing

32.

A structural element that is composed of smaller structural members typically configured in triangular arrangements

a)

truss

b)

i beam

c)

column

d)

isosceles triangle

33.

select the structural design process.

a)

define problem, develop a solution, construct and test a prototype, generate concepts, evaluate, and present

b)

define problem, generate concepts, develop a solution, prototype, evaluate, construct

c)

define problem, generate concepts, develop a solution, construct and test a prototype, evaluate solution, and present

d)

define problem, generate concepts, develop a solution, construct and test a prototype, evaluate solution, and construct

34.

What type of bridge is this?

a)

Arch

b)

Suspension

c)

Beam/Truss

35.

What type of bridge is this?

a)

Arch

b)

Beam/Truss

c)

Suspension

36.

Which statement is correct?

a)

Mass is a force, measured in kilograms.

b)

Mass is a force, measured in newtons.

c)

Weight is a force, measured in kilograms.

d)

Weight is a force, measured in newtons.

37.

Three children, X, Y and Z, are using a see-saw to compare their weights.

Which line in the table shows the correct order of the children’s weights?

heaviest ←→ lightest

a)

XY Z

b)

XZ Y

c)

YX Z

d)

YZ X

38.

A spring is suspended from a stand. Loads are added and the extensions are measured.

Which graph shows the result of plotting extension against load?

a)

b)

c)

d)

39.

Each diagram shows a metal plate with four parallel forces acting on it. These are the only forces acting on the plates. In which diagram is the plate in equilibrium?

a)

b)

c)

d)

40.

What force is seen here?

a)

Tension

b)

Torsion

c)

Compression

d)

Shear

e)

Bending

41.

A tug of war is an example of what type of force?

a)

Shear

b)

Torsion

c)

Tension

d)

Compression

e)

Bending

42.

This is an example of what type of force?

a)

Shear

b)

Torsion

c)

Compression

d)

Tension

e)

Bending

43.

This is an example of what type of force?

a)

Bending

b)

Compression

c)

Shear

d)

Tension

e)

Torsion

Level 4 Engineering knowledge check

Total questions: 43

Worksheet time: 45mins

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