Sin 60° has the same value as

I. Sin 120°

II. cos 240°

III. -sin 150°

IV. cos 210°

V. sin 240°

• A. I only
• B. II only
• C. IV only
• D. III only

Given that \(\frac{1}{2} \log_{10} P = 1\), find the value of P.

• A. 10⁴
• B. 10³
• C. 10²
• D. 10¹

Consider the statements:

p : Musa is short

q : Musa is brilliant

Which of the following represents the statement "Musa is short but not brilliant"?

• A. \(p \vee q\)
• B. \(p \vee \sim q\)
• C. \(p \wedge \sim q\)
• D. \(p \wedge q\)

In how many ways can a delegation of 3 be chosen from 5 men and 3 women. If at least 1 man and 1 woman must be included?

• A. 15
• B. 28
• C. 30
• D. 45

Calculate the volume of the regular three dimensional figure drawn below, where< ABC = 90° (a right- angled triangle).

• A. 394 cm³
• B. 425 cm³
• C. 268 cm³
• D. 540 cm³

How many 40K can we get in #16,000?

• (a) 400
• (b)300
• (c)200
• (d)100

If log\(_{10}\)2 = 0.3010 and log\(_{10}\)3 = 0.4771, eventually without using the logarithm tables, log\(_{10}\)4.5

• A. 0.3010
• B. 0.4771
• C. 0.6532
• D. 0.9542

On a graph sheet, using a scale of 2cm to 2 units on both axes,

(a) Draw the straight line joining points P(-5, 3) and Q(2, 3);

(b) construct the locus L of points equidistant from P and Q;

(c) by construction, locate points R and S on L, such that PRQS forms a rhombus of sides 5cm;

(d) find : (i) coordinates of R and S; (ii) area of the rhombus in cm\(^{2}\).

Two-third of a class passed English Language as a subject. The number of students who failed English Language will be?

• A) 1/3
• B) 1/2
• C) 1/4
• D) 3/4

Find the equation of the straight line that passes through (2, -3) and perpendicular to the line 3x - 2y + 4 = 0.

• A. 2y - 3x = 0
• B. 3y - 2x + 5 = 0
• C. 3y + 2x + 5 = 0
• D. 2y - 3x - 5 = 0