simplify \(16^{\frac{-1}{2}}\times 4^{\frac{-1}{2}} \times 27^{\frac{1}{3}}\)

• A. 3/8
• B. 2/3
• C. 3/4
• D. 3/2

A woman bought a grinder for N60,000. She sold it at a loss of 15%. How much did she sell it?

• A. N53,000
• B. N52,000
• C. N51,000
• D. N50,000

Simplify \(\frac{\sqrt{8^2 \times 4^{n + 1}}}{2^{2n} \times 16}\)

• A. 16
• B. 8
• C. 4
• D. 1

What is the mean of the data set 10.2, 10.5, 10.9, 10.2, 10.6, 10.0 ?

• A. 10.1
• B. 10.4
• C. 10.2
• D. 10.3

(a) The sides PQ and PR of \(\Delta\) PQR are produced to T and S respectively, such that TQR = 131° and < QRS = 98°. Find < QPR.

(b) The circumference of a circular track is 400m. Find its radius, correct to the nearest metre. [Take \(\pi = \frac{22}{7}\)]

Using ruler and a pair of compasses only,

(a) construct :

(i) \(\Delta\)XYZ such that |XY| = 10cm, < XYZ = 30° and < YXZ = 45°.

(ii) locus, \(l_{1}\), of points equidistant from Y and Z.

(iii) locus, \(l_{2}\), of points parallel to XY through Z.

(b) Locate M, the point of intersection of \(l_{1}\) and \(l_{2}\).

(c) Measure < ZMY.

In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. Find the value of < NPQ

• A. 200\(^o\)
• B. 100\(^o\)
• C. 120\(^o\)
• D. 90\(^o\)

Evaluate \(\int^{1}_{-1}(2x + 1)^2 \mathrm d x\)

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

Evaluate \((101_{two})^3\)

• A. \(111101_{two}\)
• B \(11111101_{two}\)
• C. \(1111101_{two}\)
• D. \(11001_{two}\)

A tanker discharged 33 000 litres of kerosene into the underground tanks of AP Petrol Station. After selling half of it, NNPC brought a pump to withdraw the balance. If the pump siphons at the rate of 250 litres per minute, how long will it take to empty the underground tank if only 2500 litres is to be left?

• A. 36 Minutes
• B. 46 Minutes
• C. 56 Minutes
• D. 66 Minutes