A number is chosen at random from 10 to 30 both inclusive. What is the probability that the number is divisible by 3?

• A. 2/15
• B. 1/10
• C. 1/3
• D. 2/5

How many faces have a cuboid?

• A. 4
• B. 8
• C. 6
• D. 12

Find the truth set of the equation x² = 3(2x + 9)

• A. {x : x = 3, x = 9}
• B. {x : x = -3, x = -9}
• C. {x : x = 3, x = -9}
• D. {x : x = -3, x = 9}

Simplify \(\frac{3(2^{n+1}) - 4(2^{n-1})}{2^{n+1} - 2^n}\)

• A. 2ⁿ⁺¹
• B. 2^n-1
• C. 4
• D. 1/4

In the diagram, PQRS is a circle with O as centre and PQ/RT. If RTS = 32°. Find PSQ

• A. 32°
• B. 45°
• C. 58°
• D. 90°

An exterior angle of a regular polygon is 22.5°. Find the number of sides.

• A. 13
• B. 14
• C. 15
• D. 16

If sin θ = cos θ, find θ between 0° and 360°

• A. 45°, 225°
• B. 135°, 315°
• C. 45°, 315°
• D. 135°, 225°

If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.

• A. 66°
• B. 12°
• C. 30°
• D. 42°

Evaluate \(\frac{1}{1 - \sin 60°}\), leaving your answer in surd form.

• A. \(1 - \sqrt{3}\)
• B. \(2 - \sqrt{3}\)
• C. \(4 - 2\sqrt{3}\)
• D. \(4 + 2\sqrt{3}\)

A particle is acted upon by forces F = (10N, 060º), P = (15N, 120º) and Q = (12N, 200º). Express the force that will keep the particle in equilibrium in the form xi + yj, where x and y are scalars.

• A. 17.55i + 13.78j
• B. 17.55j - 13.78i
• C. -17.55i + 13.78j
• D. -17.55i - 13.78j