If \(\frac{(a^2 b^{-3}c)^{\frac{3}{4}}}{a^{-1}b^{4}c^{5}}=a^{p} b^{q} c^{r}\) What is the value of p+2q?

• A. (5/2)
• B. -(5/4)
• C. -(25/4)
• D. -10

I thought the time was ten minutes to two ,but I was looking at the clock in a mirror. What time was it really?

• A. ten minutes to two
• B. ten minutes after two
• C.ten to ten
• D. Ten to three.

The nth term of a sequence is given by 2^2n−1. Find the sum of the first four terms.

• A. 74
• B. 32
• C. 42
• D. 170

Given that \(\frac{\mathrm d y}{\mathrm d x} = \sqrt{x}\), find y.

• A. \(2x^{\frac{3}{2}} + c\)
• B. \(\frac{2}{3}x^{\frac{3}{2}} + c\)
• C. \(\frac{3}{2}x^{\frac{3}{2}} + c\)
• D. \(\frac{2}{3}x^{2} + c\)

A flagstaff stands on the top of a vertical tower. A man standing 60 m away from the tower observes that the angles of elevation of the top and bottom of the flagstaff are 64^o and 62^o respectively. Find the length of the flagstaff.

• A. 60 (tan 62^o - tan 64^o)
• B. 60 (cot 64^o - cot 62^o)
• C. 60 (cot 62^o - cot 64^o)
• D. 60 (tan 64^o - tan 62^o)

Differentiate \(\frac{5x^{3} + x^{2}}{x}, x\neq 0\) with respect to x.

• A. 10x+1
• B. 10x+2
• C. x(15x+1)
• D. x(15x+2)

If 4sin²x−3=0, find the value of x, when 0° ≤ x ≤ 90°

• A. 90°
• B. 45°
• C. 60°
• D. 30°

N140,000 is shared between Abu, Kayode and Uche. Abu has twice as much as Kayode and Kayode has twice as much as Uche. What is Kayode's share?

• A. N80,000
• B. N40,000
• C. N2,000
• D. 10,000

Evaluate (0.13)\(^3\)correct to three significant figures

• A. 0.00219
• B. 0.00220
• C. 0.00300
• D. 0.00390

What fraction must be subtracted from the sum of \(2\frac{1}{6}\) and \(2\frac{7}{12}\) to give \(3\frac{1}{4}\)?

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