A bucket is 12 cm in diameter at the top, 8 cm in diameter at the bottom and 4 cm deep. Calculate its volume.

• A. 304π/3 cm³
• B. 144π cm³
• C. 128π cm³
• D. 72π cm³

In the diagram, AB is a vertical pole and BC is horizontal. If |AC| = 10m and |BC| = 5m, calculate the angle of depression of C from A

• A. 63°
• B. 60°
• C. 45°
• D. 27°

The table gives the relationship between the height, in metres, of a plant and the number of days it is left to grow.

(a) Using a scale of 2 cm to represent 0.5 units on the y- axis and 2cm to 10 units on the x- axis, draw a scatter diagram for the information.

(b) Find \(\bar{x}\), the mean of x, and \(\bar{y}\), the mean of y, and plot \((\bar{x}, \bar{y})\) on the diagram.

(c) Draw the line of best fit to pass through \((\bar{x}, \bar{y})\) and \((10, 1)\).

(d) From graph, find the :

(i) equation of the line of best fit ; (ii) height of plant in 75 days.

If P \(=\left[\begin{array}{cc}x+3 & x+2\\

x+1 & x-1\end{array}\right]\) evaluate x if |P| = -10

• A. -5
• B. -2
• C. 2
• D. 5

Solve : \(\tan (2x - 15)° - 1 = 0\), for values of x such that \(0° \leq x \leq 360°\).

If M and N are two fixed points in a plane. Find the locus L = [P : PM = PN]

• A. a line equal to MN
• B. line parallel to MN
• C. Perpendicular bisector of MN
• D. A circle centre P, radius MN

Find the roots of x³ - 2x² - 5x + 6 = 0

• A. 1, -2, 3
• B. 1, 2, -3,
• C. -1, -2, 3
• D. -1, 2, -3

Find the volume of the prism

• A. 990cm³
• B. 880cm³
• C. 550cm³
• D. 495cm³

A tree is 8km due south of a building. Kofi is standing 8km west of the tree. Find the bearing of Kofi from the building

• A. 315°
• B. 270°
• C. 225°
• D. 135°

The sum of the ages of Musa and Lawal is 28 years. After sharing a certain sum of money in the ratio of their ages, Musa gets N600 and Lawal N800. How old is Lawal?

• A. 14 years
• B. 20 years
• C. 12 years
• D. 16 years