A stone is thrown vertically upward and distance, S metres after t seconds is given by S = 12t + \(\frac{5}{2t^2}\) - t\(^3\).

Calculate the maximum height reached.

• A. 418.5m
• B. 56.0m
• C. 31.5m
• D. 30.0m

In triangles XYZ and XQP, XP = 4cm, XQ = 5cm and PQ = QY = 3cm. Find ZY

• A. 8cm
• B. 6cm
• C. 4cm
• D. 3cm

Determine the distance on the earth's surface between two town P (lat 60°N, Long 20°E) and Q(Lat 60°N, Long 25°W) (Radius of the earth = 6400km)

• A. \(\frac{800\pi}{9}\)km
• B. \(\frac{800\sqrt{3\pi}}{9}\)km
• C. 800\(\pi\) km
• D. 800\(\sqrt{3\pi}\) km

If (x - 3) is a factor of \(2x^{2} - 2x + p\), find the value of constant p.

• A. -12
• B. -6
• C. 3
• D. 6

The following is the graph of a quadratic friction, find the co-ordinates of point P

• A. (0, 4)
• B. (4, 0)
• C. (0, -4)
• D. (-4, 0)

Given that \(P = \begin{pmatrix} 2 & 1 \\ 5 & -3 \end{pmatrix}\) and \(Q = \begin{pmatrix} 4 & -8 \\ 1 & -2 \end{pmatrix}\), Find (2P - Q).

• A. \(\begin{pmatrix} -6 & 17 \\ 3 & 1 \end{pmatrix}\)
• B. \(\begin{pmatrix} -2 & 9 \\ 4 & 1 \end{pmatrix}\)
• C. \(\begin{pmatrix} 0 & -6 \\ 9 & -8 \end{pmatrix}\)
• D. \(\begin{pmatrix} 0 & 10 \\ 9 & -4 \end{pmatrix}\)

Find the inverse \(\begin{pmatrix} 5 & 3 \\ 6 & 4 \end{pmatrix}\)

• A. \(\begin{vmatrix} 2 & -\frac{3}{2} \\ -3 & -\frac{5}{2} \end{vmatrix}\)
• B. \(\begin{vmatrix} 2 & -\frac{3}{2} \\ -3 & \frac{5}{2} \end{vmatrix}\)
• C. \(\begin{vmatrix} 2 & \frac{3}{2} \\ -3 & \frac{5}{2} \end{vmatrix}\)
• D. \(\begin{vmatrix} 2 & \frac{3}{2} \\ -3 & \frac{5}{2} \end{vmatrix}\)

Find the value of k if the expression kx³ + x² - 5x - 2 leaves a remainder 2 when it is divided by 2x + 1

• A. 10
• B. 8
• C. -10
• D. -8

If forty people donated N6 a month to a cooperative society for one year, how much would be collected?

• A. N288
• B. N2880
• C. N28,000
• D. None of these

A trader realizes 10x - x² naira profit from the sale of x bags on corn. How many bags will give him the desired profit?

• A. 4
• B. 5
• C. 6
• D. 7