A bearing of 320° expressed as a compass bearing is

• A. N 50° W
• B. N 40° W
• C. N 50° E
• D. N 40° E

Evaluate \(\int 2(2x - 3)^{\frac{2}{3}} \mathrm d x\)

• A. 3/5(2x-3)^5/3 + k
• B. 6/5(2x-3)^5/3 + k
• C. 2x-3+k
• D. 2(2x-3)+k

The pie chart represents fruits on display in a grocery shop. If there are 60 oranges on display, how many apples are there?

• A. 90
• B. 80
• C. 70
• D. 40

(a) If \(2^{x + y} = 16\) and \(4^{x - y} = \frac{1}{32}\), find the value of x and y.

(b) P, Q and R are related in such a way that \(P \propto \frac{Q^{2}}{R}\). When P = 36, Q = 3 and R = 4. Calculate Q when P = 200 and R = 2.

(a) Solve, correct to two decimal places, the equation \(4x^{2} = 11x + 21\).

(b) A man invests £1500 for two years at compound interest. After one year, his money amounts to £1560. Find the :

(i) rate of interest ; (ii) interest for the second year.

(c) A car costs N300,000.00. It depreciates by 25% in the first year and 20% in the second year. Find its value after 2 years.

Which of these values would make \(\frac{3p^-}{p^{2-}}\) undefined?

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

Solve the inequality \(2x^{2} + 5x - 3 \geq 0\).

• A. \(x \leq -3\) or \(x \geq \frac{1}{2}\)
• B. \(x< -\frac{1}{2}\) or \(x \geq 3\)
• C. \(-3 \leq x \leq \frac{1}{2}\)
• D. \(-\frac{1}{2} \leq x \leq 3\)

Given that A = {1, 5, 7}

B = {3, 9, 12, 15}

C = {2, 4, 6, 8}

Find (A ∪ B) ∪ C

• A. {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15}
• B. {1, 2, 3, 5, 6, 8, 12, 15}
• C. {2, 4, 5, 9, 12, 15}
• D. {1, 5, 6, 7, 8, 9, 12, 15}

A body of mass 15kg is placed on a smooth plane which is inclined at 60° to the horizontal. If the box is at rest,

calculate the normal reaction to the plane. [ Take g = 10m/s\(^2\) ]

• A. 129.9N
• B. 75N
• C. 60.0N
• D. 7.5N

Find the difference between the range and the variance of the following set of numbers 4, 9, 6, 3, 2, 8, 10, 5, 6, 7 where \(\sum d^2\) = 60

• A. 2
• B. 3
• C. 4
• D. 6