simplify; 2log\(_{3}\) 6 + log\(_{3}\) 12 - log\(_{3}\) 16

• A. 2
• B. 3
• C. 2 - 2log₃2
• D. 3 - log₃2

A polynomial in x whose roots are 4/3 and -3/5 is?

• A. 15x² - 11x – 12
• B. 15x² + 11x – 12
• C. 12x² - x – 12
• D. 12x² + 11x – 15

Point X and Y are on the same horizontal base as the foot of a building such that X is 96m due east of the building and Y is due west. If the angle of elevation of the top of that building from X is 30\(^o\) and that of Y is 50\(^o\), calculate the distance of Y from the base of the building.

• A. 30m
• B. 32m
• C. 42m
• D. 50m

Find the sum of the first 20 terms in an arithmetic progression whose first term is 7 and last term is 117.

• A. 2480
• B. 1240
• C. 620
• D. 124

Simplify \(\frac{\sqrt{12} - \sqrt{3}}{\sqrt{12} + \sqrt{3}}\)

• A. 13
• B. 9
• C. 16
• D. 3

For what values of y is the expression \(\frac{6y-1}{y^2 - y-6}\)

• A. \(\frac{1}{6}, \frac{1}{4}\)
• B. 3, -2
• C. -3, 2
• D. 0,1

Find the equation of the perpendicular at the point (4,3) to the line y + 2x = 5

• A. 2y - x = 4
• B. y + 2x = 3
• C. y + 2x = 5
• D. 2y - x = 2

In the diagram, O is the centre of the circle, ∠ XOZ = (10cm)° and ∠ XWZ = m°. Calculate the value of m.

• A. 30
• B. 36
• C. 40
• D. 72

If 6 men can do a piece of work in 2 days, how long will it 2 men?

• (a) 4days
• (b) 6days
• (c) 5days
• (d)12days

M varies directly as n and inversely as the square of p. If M = 3, when n = 2 and p = 1, find M in terms of n and p.

• A. M = 2n/3p
• B. M = 3n²/2p²
• C. M = n²/2p
• D. M = 3n/2p²