Determine the value of \(\int_0 ^{\frac{\pi}{2}

}(-2cos x)dx\)

• A. -2
• B. -1/2
• C. -3
• D. -3/2

Let (*) be a binary operation on a natural number defined by a * b = a - b + (ab)², then find 3 * 5

• A. 223
• B. 232
• C. 32
• D. -232

In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH

• A. 32cm
• B. 26cm
• C. 20cm
• D. 16cm

In what modulus is it true that 9 + 8 = 5?

• A. mod 10
• B. mod 11
• C. mod 12
• D. mod 13

If 3p - q = 6 and 2p + 3q = 4, find q

• A. 0
• B. 1/2
• C. 2/3
• D. 1

Given that \(\sin x = \frac{-\sqrt{3}}{2}\) and \(\cos x > 0\), find x.

• A. 300°
• B. 240°
• C. 120°
• D. 60°

Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.

• A. 81 π cubic units
• B. 36 π cubic units
• C. 18 π cubic units
• D. 9 π cubic units

Forces 90N and 120N act in the directions 120° and 240° respectively. Find the resultant of these forces.

• A. \(-45(2i + \sqrt{2}j)\)
• B. \(60(\sqrt{3}i + 7j)\)
• C. \(30(7i + \sqrt{3}j)\)
• D. \(-15(7i + \sqrt{3}j)\)

On a pie chart, there are four sectors of which three angles are 45°, 90° and 135°. If the smallest sector represents N28.00, how much is the largest sector?

• A. N96.00
• B. N84.00
• C. N48.00
• D. N42.00

A bag contains 8 red, 4 blue and 2 green identical balls. Two balls are drawn randomly from the bag without replacement. Find the probability that the balls drawn are red and blue.

• A. 12/91
• B. 16/91
• C. 30/91
• D. 32/91