City and Guilds Level 3 Aeronautical
Engineering: Unit 215 Exam Questions
And Answers Verified 100% Correct
Why is unit consistency essential in aeronautical formulae? - ANSWER -To avoid
catastrophic miscalculations (e.g., Mars Climate Orbiter crash due to unit error).
Velocity equation: - ANSWER -v = d/t
Density equation: - ANSWER -p = m/V
Pressure equation: - ANSWER -P = F/A
Relative error equation: - ANSWER -(Error / True value) x 100
Absolute error equation: - ANSWER -|Measured - true|
Rearrange v = u + at to make 'a' the subject. - ANSWER -a = (v-u)/t
Solve x^2 - 9x + 20 = 0. - ANSWER -x = 4 or x = 5
Simplify (2x^2)(-3x^3). - ANSWER --6x^5
Define the difference between an equation and an identity. - ANSWER -An
equation is true for some values; an identity is true for all values.
Factorise x^2 - 7x + 12. - ANSWER -(x - 3)(x - 4)
Define 'identity' in algebra. - ANSWER -An equality true for all values of the
variable (e.g., (x + 1)^2 = x^2 + 2x + 1).
How are nested brackets simplified? - ANSWER -Work from the innermost
bracket outward, apply BODMAS.
, Evaluate: (2x^2)^3 - ANSWER -8x^6
Use a formula to calculate centre of gravity. - ANSWER -CG = ∑(mx)/∑m
Give an example of an aeronautical formula with square roots. - ANSWER -Mach
number: M = v/sqrt(γRTv)
Quadratic equation: - ANSWER -ax^2 + bx + c = 0
Quadratic formula: - ANSWER -x = (-b ± sqrt(b^2 - 4ac))/2a
Standard law for a^m x a^n: - ANSWER -a^(m+n)
Standard law for (a^m)/(a^n): - ANSWER -a^(m-n)
Standard law for (a^m)^n: - ANSWER -a^(m x n)
Standard law for a^-n: - ANSWER -1/(a^n)
Standard law for nth-root(a): - ANSWER -a^(1/n)
What is the volume of a cylinder with radius 4 cm and height 10 cm? - ANSWER
-pi x r^2 x h = pi x 16 x 10 = 160pi cm = 502.655 cm
Define 'chord' in a circle. - ANSWER -A straight line connecting two points on the
circumference.
Calculate the area of a triangle with base 6 m and height 3 m. - ANSWER -1/2 x 6
x 3 = 9 m^2
Name a 3D shape used to model aircraft fuel tanks. - ANSWER -Cylinder or
ellipsoid
Engineering: Unit 215 Exam Questions
And Answers Verified 100% Correct
Why is unit consistency essential in aeronautical formulae? - ANSWER -To avoid
catastrophic miscalculations (e.g., Mars Climate Orbiter crash due to unit error).
Velocity equation: - ANSWER -v = d/t
Density equation: - ANSWER -p = m/V
Pressure equation: - ANSWER -P = F/A
Relative error equation: - ANSWER -(Error / True value) x 100
Absolute error equation: - ANSWER -|Measured - true|
Rearrange v = u + at to make 'a' the subject. - ANSWER -a = (v-u)/t
Solve x^2 - 9x + 20 = 0. - ANSWER -x = 4 or x = 5
Simplify (2x^2)(-3x^3). - ANSWER --6x^5
Define the difference between an equation and an identity. - ANSWER -An
equation is true for some values; an identity is true for all values.
Factorise x^2 - 7x + 12. - ANSWER -(x - 3)(x - 4)
Define 'identity' in algebra. - ANSWER -An equality true for all values of the
variable (e.g., (x + 1)^2 = x^2 + 2x + 1).
How are nested brackets simplified? - ANSWER -Work from the innermost
bracket outward, apply BODMAS.
, Evaluate: (2x^2)^3 - ANSWER -8x^6
Use a formula to calculate centre of gravity. - ANSWER -CG = ∑(mx)/∑m
Give an example of an aeronautical formula with square roots. - ANSWER -Mach
number: M = v/sqrt(γRTv)
Quadratic equation: - ANSWER -ax^2 + bx + c = 0
Quadratic formula: - ANSWER -x = (-b ± sqrt(b^2 - 4ac))/2a
Standard law for a^m x a^n: - ANSWER -a^(m+n)
Standard law for (a^m)/(a^n): - ANSWER -a^(m-n)
Standard law for (a^m)^n: - ANSWER -a^(m x n)
Standard law for a^-n: - ANSWER -1/(a^n)
Standard law for nth-root(a): - ANSWER -a^(1/n)
What is the volume of a cylinder with radius 4 cm and height 10 cm? - ANSWER
-pi x r^2 x h = pi x 16 x 10 = 160pi cm = 502.655 cm
Define 'chord' in a circle. - ANSWER -A straight line connecting two points on the
circumference.
Calculate the area of a triangle with base 6 m and height 3 m. - ANSWER -1/2 x 6
x 3 = 9 m^2
Name a 3D shape used to model aircraft fuel tanks. - ANSWER -Cylinder or
ellipsoid
