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CAAB AME B1.2 study materials
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CAAB AME B1.2 practice questions

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Question 1Mathematics

Evaluate 3/4 + 5/8, giving the answer as a single fraction in its lowest terms.

  1. 15/32
  2. 1/2
  3. 8/12
  4. 11/8 Correct answer.

Explanation

Fractions can only be added once they share a common denominator; 3/4 is equivalent to 6/8, and 6/8 + 5/8 = 11/8, which cannot be simplified further.

Question 2Mathematics

A component is listed at 240 currency units and is sold with a 15% discount. What is the selling price?

  1. 225
  2. 36
  3. 204 Correct answer.
  4. 216

Explanation

The discount is 15% of 240, i.e. 0.15 x 240 = 36, so the price paid is 240 - 36 = 204.

Question 3Mathematics

A mass of 180 kg is divided in the ratio 2 : 3 : 4. What is the largest share?

  1. 60 kg
  2. 90 kg
  3. 80 kg Correct answer.
  4. 40 kg

Explanation

There are 2 + 3 + 4 = 9 equal parts, so one part is 180 / 9 = 20 kg; the largest share is 4 parts, i.e. 4 x 20 = 80 kg.

Question 4Mathematics

A right-angled triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?

  1. 100 cm
  2. 48 cm
  3. 14 cm
  4. 10 cm Correct answer.

Explanation

By Pythagoras' theorem the hypotenuse squared equals the sum of the squares of the two legs: 36 + 64 = 100, and the square root of 100 is 10 cm.

Question 5Mathematics

What is the arithmetic mean of the values 4, 7, 9, 12 and 18?

  1. 9
  2. 12.5
  3. 10 Correct answer.
  4. 50

Explanation

The mean is the total of the values divided by how many there are: (4 + 7 + 9 + 12 + 18) / 5 = 50 / 5 = 10.

Question 6Mathematics

Simplify 2^5 x 2^-3.

  1. 4 Correct answer.
  2. 2^-15
  3. 8
  4. 2^8

Explanation

When powers of the same base are multiplied the indices are added: 5 + (-3) = 2, so the result is 2^2 = 4.

Question 7Mathematics

Solve the simultaneous equations 2x + 3y = 12 and x - y = 1.

  1. x = 4, y = 3
  2. x = 1, y = 2
  3. x = 2, y = 3
  4. x = 3, y = 2 Correct answer.

Explanation

Rearranging the second equation gives x = y + 1; substituting into the first gives 2(y + 1) + 3y = 12, so 5y = 10 and y = 2, hence x = 3. Both equations are satisfied by x = 3, y = 2.

Question 8Mathematics

What are the roots of the equation x^2 - 5x + 6 = 0?

  1. x = -2 and x = -3
  2. x = -1 and x = -6
  3. x = 2 and x = 3 Correct answer.
  4. x = 1 and x = 6

Explanation

Two numbers are needed whose product is the constant term 6 and whose sum is the coefficient 5 with opposite sign, namely 2 and 3, so the equation factorises as (x - 2)(x - 3) = 0.

Question 9Mathematics

Given that log10 2 = 0.3010, what is log10 8?

  1. 0.9030 Correct answer.
  2. 0.1003
  3. 2.4082
  4. 0.6020

Explanation

Since 8 = 2^3, the power rule for logarithms gives log10 8 = 3 x log10 2 = 3 x 0.3010 = 0.9030.

Question 10Mathematics

In a right-angled triangle the side opposite angle theta is 5 cm and the hypotenuse is 13 cm. What is the size of theta?

  1. 22.6 degrees Correct answer.
  2. 21.8 degrees
  3. 67.4 degrees
  4. 45.0 degrees

Explanation

The ratio of opposite side to hypotenuse is the sine, so sin theta = 5/13 = 0.3846, and the inverse sine of 0.3846 is 22.6 degrees.

Question 11Mathematics

In triangle ABC, angle A = 30 degrees, angle B = 45 degrees and side a (opposite A) = 8 cm. Using the sine rule, what is side b?

  1. 8.00 cm
  2. 11.31 cm Correct answer.
  3. 5.66 cm
  4. 16.00 cm

Explanation

The sine rule states a / sin A = b / sin B, so b = a sin B / sin A = 8 x 0.7071 / 0.5 = 11.31 cm.

Question 12Mathematics

A triangle has two sides of 7 cm and 8 cm with an included angle of 60 degrees. What is the length of the third side?

  1. 1.00 cm
  2. 10.63 cm
  3. 13.00 cm
  4. 7.55 cm Correct answer.

Explanation

The cosine rule gives c^2 = 7^2 + 8^2 - 2(7)(8)cos 60 = 49 + 64 - 56 = 57, so c is the square root of 57, namely 7.55 cm.

Question 13Mathematics

What is the volume of a cylinder of radius 3 cm and height 10 cm, to one decimal place?

  1. 90.0 cm3
  2. 94.2 cm3
  3. 282.7 cm3 Correct answer.
  4. 188.5 cm3

Explanation

The volume of a cylinder is pi r^2 h, so pi x 9 x 10 = 282.7 cm3 to one decimal place.

Question 14Mathematics

Make r the subject of the formula V = (4/3) pi r^3.

  1. r = cube root of (4pi/3V)
  2. r = cube root of (3V/4pi) Correct answer.
  3. r = cube root of (3V) / 4pi
  4. r = 3V/4pi

Explanation

Divide both sides by (4/3)pi to obtain r^3 = 3V/(4pi), then take the cube root of the whole right-hand side to isolate r.

Question 15Mathematics

A reading is increased by 20% and the new value is then decreased by 20%. What is the overall change from the original reading?

  1. 4% increase
  2. 4% decrease Correct answer.
  3. No change
  4. 40% decrease

Explanation

Successive percentage changes multiply, so the final value is 1.20 x 0.80 = 0.96 of the original, which is a decrease of 4%.

Question 16Mathematics

Solve for x: 3^(2x - 1) = 27.

  1. x = 3
  2. x = 1
  3. x = 1.5
  4. x = 2 Correct answer.

Explanation

Since 27 = 3^3 and the bases are equal, the indices must be equal: 2x - 1 = 3, giving 2x = 4 and x = 2.

Question 17Mathematics

For the graph of y = 3 sin(2x), where x is measured in degrees, what are the amplitude and the period?

  1. Amplitude 3, period 180 degrees Correct answer.
  2. Amplitude 3, period 360 degrees
  3. Amplitude 2, period 3 degrees
  4. Amplitude 6, period 180 degrees

Explanation

For y = A sin(Bx) the amplitude is the modulus of A, here 3, and the period is 360 degrees divided by B, here 360/2 = 180 degrees.

Question 18Mathematics

What is the variance of the data set 2, 4, 4, 4, 5, 5, 7, 9?

  1. 4.0 Correct answer.
  2. 4.57
  3. 32.0
  4. 2.0

Explanation

The mean is 5, and the squared deviations are 9, 1, 1, 1, 0, 0, 4 and 16, which total 32; dividing by the 8 values gives a variance of 4.0.

Question 19Mathematics

Using the quadratic formula, solve 2x^2 - 4x - 3 = 0, giving the roots to two decimal places.

  1. x = 2.58 or x = -0.58 Correct answer.
  2. x = 1.50 or x = -1.00
  3. x = 2.58 or x = 1.58
  4. x = 3.00 or x = -0.50

Explanation

Here a = 2, b = -4 and c = -3, so the discriminant is 16 + 24 = 40 and x = (4 plus or minus the square root of 40) / 4, which gives 2.58 and -0.58 to two decimal places.

Question 20Physics

The SI unit of force is the:

  1. newton Correct answer.
  2. watt
  3. joule
  4. pascal

Explanation

Force is defined through Newton's second law and its SI unit is the newton (N), where 1 N = 1 kg·m/s². The other named units measure energy, pressure and power respectively.

Question 21Physics

Which of the following is a vector quantity?

  1. Energy
  2. Velocity Correct answer.
  3. Temperature
  4. Mass

Explanation

A vector has both magnitude and direction. Velocity is speed in a stated direction, so it is a vector, whereas mass, temperature and energy are fully described by magnitude alone.

Question 22Physics

Density is defined as:

  1. Weight per unit volume
  2. Volume per unit mass
  3. Force per unit area
  4. Mass per unit volume Correct answer.

Explanation

Density is the mass of a substance divided by the volume it occupies. Its SI unit is the kilogram per cubic metre.

Question 23Physics

At a given point in a fluid at rest, the pressure acts:

  1. Only downwards, due to gravity
  2. Equally in all directions Correct answer.
  3. Only on the base of the container
  4. Only perpendicular to the walls

Explanation

For a fluid at rest, pressure at any point is the same in every direction, which is the basis of Pascal's principle. The force on a surface is always perpendicular to that surface, but the pressure itself is not directional.

Question 24Physics

A temperature of 0 °C corresponds on the thermodynamic (kelvin) scale to:

  1. 373.15 K
  2. 273.15 K Correct answer.
  3. 100 K
  4. 0 K

Explanation

Absolute temperature is obtained by adding 273.15 to the Celsius value, so 0 °C = 273.15 K. Zero kelvin is absolute zero, which lies at −273.15 °C.

Question 25Physics

In a transverse wave, the direction of particle vibration is:

  1. parallel to the wave velocity
  2. opposite to the wave velocity
  3. along the wave velocity in both directions
  4. at right angles to the wave velocity Correct answer.

Explanation

In a transverse wave the particles oscillate perpendicular to the direction in which energy travels, as in the waves on a stretched string. Oscillation along the direction of travel is characteristic of a longitudinal wave.

Question 26Physics

An object starts from rest and accelerates uniformly at 4 m/s². What is its speed after 5 s?

  1. 10 m/s
  2. 16 m/s
  3. 20 m/s Correct answer.
  4. 25 m/s

Explanation

For constant acceleration the speed is given by v = u + at, where u = 0, a = 4 m/s² and t = 5 s. This gives v = 0 + 4 × 5 = 20 m/s.

Question 27Physics

An aircraft of mass 2000 kg experiences a net horizontal thrust of 6000 N with no other horizontal force acting. Its acceleration is:

  1. 6 m/s²
  2. 0.33 m/s²
  3. 12 m/s²
  4. 3 m/s² Correct answer.

Explanation

Newton's second law gives a = F/m, so a = 6000 N ÷ 2000 kg = 3 m/s². The acceleration is in the direction of the net force.

Question 28Physics

A force of 150 N acts perpendicular to a spanner at a distance of 0.40 m from the pivot. The moment produced is:

  1. 37.5 N·m
  2. 60 N·m Correct answer.
  3. 6.0 N·m
  4. 375 N·m

Explanation

The moment of a force about a point is the force multiplied by the perpendicular distance from the pivot, M = F × d. Here M = 150 × 0.40 = 60 N·m.

Question 29Physics

A crane raises a 300 kg load vertically through 20 m in 10 s at constant speed. Taking g as 9.81 m/s², the useful power developed is about:

  1. 5.9 kW Correct answer.
  2. 59 kW
  3. 0.59 kW
  4. 2.9 kW

Explanation

Power is work done per unit time, and the work done against gravity is mgh. Thus P = (300 × 9.81 × 20) ÷ 10 ≈ 5886 W, or about 5.9 kW.

Question 30Physics

A fixed mass of gas occupies 2.00 m³ at 300 K and is heated at constant pressure to 400 K. Its new volume is:

  1. 3.00 m³
  2. 2.25 m³
  3. 1.50 m³
  4. 2.67 m³ Correct answer.

Explanation

Charles's law states that at constant pressure the volume of a fixed mass of gas is proportional to its absolute temperature. Hence V₂ = V₁ × T₂/T₁ = 2.00 × 400/300 ≈ 2.67 m³.

Question 31Physics

Radiation differs from conduction and convection because it:

  1. requires a solid medium
  2. is only significant at low temperatures
  3. relies on the bulk movement of a fluid
  4. can transfer heat through a vacuum Correct answer.

Explanation

Thermal radiation is electromagnetic energy and therefore needs no material medium, which is why the Sun's heat reaches the Earth. Conduction requires direct molecular contact and convection requires a moving fluid.

Question 32Physics

Light travels through a transparent medium of refractive index 1.5. Taking the speed of light in vacuum as 3.0 × 10^8 m/s, the speed in the medium is:

  1. 3.0 × 10^8 m/s
  2. 1.5 × 10^8 m/s
  3. 2.0 × 10^8 m/s Correct answer.
  4. 4.5 × 10^8 m/s

Explanation

Refractive index is the ratio of the speed of light in vacuum to the speed in the medium, n = c/v. Rearranging gives v = c/n = 3.0 × 10^8 ÷ 1.5 = 2.0 × 10^8 m/s.

Question 33Physics

An aircraft flies at Mach 0.80 in air where the local speed of sound is 340 m/s. Its true airspeed is:

  1. 340 m/s
  2. 204 m/s
  3. 272 m/s Correct answer.
  4. 425 m/s

Explanation

The Mach number is the ratio of true airspeed to the local speed of sound, so TAS = M × a. Thus TAS = 0.80 × 340 = 272 m/s.

Question 34Physics

A wave has a frequency of 50 Hz and a wavelength of 4 m. Its speed of propagation is:

  1. 12.5 m/s
  2. 54 m/s
  3. 200 m/s Correct answer.
  4. 0.08 m/s

Explanation

The wave equation relates speed, frequency and wavelength as v = f × λ. Substituting gives v = 50 × 4 = 200 m/s, the speed at which the wave crests advance.

Question 35Physics

A mass on a string moves in a horizontal circle at constant radius. If its speed is doubled, the centripetal force required:

  1. It halves
  2. It stays unchanged
  3. It doubles
  4. It quadruples Correct answer.

Explanation

The centripetal force is F = mv²/r, so at constant radius and mass the force varies with the square of the speed. Doubling the speed therefore multiplies the required force by four.

Question 36Physics

A 2 kg trolley moving at 3 m/s collides with a stationary 4 kg trolley and the two move off together. Their common velocity is:

  1. 0.75 m/s
  2. 2.0 m/s
  3. 1.0 m/s Correct answer.
  4. 1.5 m/s

Explanation

With no external horizontal force, total momentum is conserved: m₁u₁ = (m₁ + m₂)v. Thus 2 × 3 = 6 × v, giving v = 1.0 m/s in the original direction of motion.

Question 37Physics

A fixed mass of ideal gas has its pressure doubled while its absolute temperature is halved. Its volume becomes:

  1. Twice the original
  2. Half of the original
  3. The same as the original
  4. A quarter of the original Correct answer.

Explanation

For a fixed mass of ideal gas, V is proportional to T/p. Halving T while doubling p gives V₂ = V₁ × (0.5/2) = 0.25 V₁, so the volume falls to one quarter.

Question 38Physics

An object is placed beyond twice the focal length of a converging lens. The image formed is:

  1. Virtual, upright and magnified
  2. Real, upright and the same size
  3. Virtual, inverted and magnified
  4. Real, inverted and diminished Correct answer.

Explanation

When the object lies beyond 2F of a converging lens, the refracted rays converge between F and 2F on the far side, giving a real, inverted and diminished image. This is the arrangement used in a camera.

Question 39Electrical Fundamentals

A 12 Ω resistor is connected across a 24 V DC supply. What current flows through the resistor?

  1. 12 A
  2. 2 A Correct answer.
  3. 0.5 A
  4. 288 A

Explanation

Ohm's law states that current equals voltage divided by resistance, so I = 24 V ÷ 12 Ω. This gives 2 A through the resistor.

Question 40Electrical Fundamentals

The unit of capacitance is the:

  1. weber
  2. farad Correct answer.
  3. henry
  4. coulomb

Explanation

Capacitance is measured in farads, one farad being one coulomb of stored charge per volt of potential difference. The other named units belong to different electrical quantities.

Question 41Electrical Fundamentals

Three resistors of 10 Ω, 20 Ω and 30 Ω are connected in series. What is the total resistance?

  1. 20 Ω
  2. 600 Ω
  3. 60 Ω Correct answer.
  4. 5.5 Ω

Explanation

In a series circuit the resistances simply add: 10 + 20 + 30 = 60 Ω. The same current passes through each resistor, so the voltage drops add in the same way.

Question 42Electrical Fundamentals

On most large transport aircraft, the nominal frequency of the AC electrical system is:

  1. 60 Hz
  2. 1000 Hz
  3. 400 Hz Correct answer.
  4. 50 Hz

Explanation

Aircraft AC systems use 115 V at 400 Hz because the lighter transformers and motors that result from the higher frequency save weight. The 50 Hz and 60 Hz values are ground power supply frequencies.

Question 43Electrical Fundamentals

In a capacitor, energy is stored in the form of:

  1. a magnetic field
  2. an electric field Correct answer.
  3. a chemical reaction
  4. a thermal gradient

Explanation

The charge separated on the two plates of a capacitor sets up an electric field in the dielectric between them, and energy is stored in that field. A magnetic field is the storage mechanism of an inductor.

Question 44Electrical Fundamentals

A 6 Ω resistor and a 3 Ω resistor are connected in parallel across a 12 V supply. What total current is drawn from the supply?

  1. 6 A Correct answer.
  2. 1.33 A
  3. 4 A
  4. 2 A

Explanation

The parallel combination is (6 × 3) ÷ (6 + 3) = 2 Ω, so the supply current is 12 V ÷ 2 Ω = 6 A. Equivalently, the branches carry 2 A and 4 A, which add to 6 A.

Question 45Electrical Fundamentals

An inductor of 0.01 H is connected to a 400 Hz AC supply. Its inductive reactance is approximately:

  1. 25 Ω Correct answer.
  2. 250 Ω
  3. 2.5 Ω
  4. 4 Ω

Explanation

Inductive reactance is XL = 2πfL, so XL = 2π × 400 × 0.01 ≈ 25 Ω. Reactance rises in direct proportion to both frequency and inductance.

Question 46Electrical Fundamentals

A transformer has 200 turns on its primary and 50 turns on its secondary. If 115 V AC is applied to the primary, the secondary voltage is:

  1. 230 V
  2. 57.5 V
  3. 460 V
  4. 28.8 V Correct answer.

Explanation

The voltage ratio equals the turns ratio, so Vs = Vp × (Ns ÷ Np) = 115 × (50 ÷ 200) = 28.75 V. Because the secondary has fewer turns, this is a step-down transformer.

Question 47Electrical Fundamentals

An AC motor connected to a 115 V supply draws 10 A at a power factor of 0.8. What is the true power consumed?

  1. 736 W
  2. 920 W Correct answer.
  3. 115 W
  4. 1150 W

Explanation

True power for a single-phase AC load is P = V × I × cos φ, so P = 115 × 10 × 0.8 = 920 W. The power factor accounts for the current that does no useful work.

Question 48Electrical Fundamentals

Four 12 V, 40 Ah batteries are connected as two parallel strings, each string containing two batteries in series. The resulting supply is:

  1. 24 V, 40 Ah
  2. 24 V, 80 Ah Correct answer.
  3. 48 V, 40 Ah
  4. 48 V, 160 Ah

Explanation

Two batteries in series give 24 V at 40 Ah, and placing two such strings in parallel doubles the capacity to 80 Ah while the voltage stays at 24 V. Series connection adds voltage; parallel connection adds capacity.

Question 49Electrical Fundamentals

A sinusoidal AC voltage has an rms value of 115 V. Its peak value is approximately:

  1. 230 V
  2. 81.3 V
  3. 163 V Correct answer.
  4. 115 V

Explanation

For a sine wave, peak value = rms × √2, so 115 × 1.414 ≈ 163 V. The rms value is the equivalent steady DC value that would produce the same heating effect.

Question 50Electrical Fundamentals

In a series RLC circuit at resonance:

  1. capacitive reactance is zero
  2. impedance is at a maximum
  3. inductive reactance is zero
  4. impedance is at a minimum Correct answer.

Explanation

At resonance XL equals XC, so the two reactances cancel and the only opposition left is the resistance. Impedance therefore falls to its minimum value and the current reaches its maximum.