If y = cos 3x, find δy/δx

• A. 1/3sin3x
• B. −1/3sin3x
• C. 3 sin 3x
• D. -3 sin 3x

If g(x) = x² + 3x + 4, find g(x + 1) - g(x)

• A. (x + 2)
• B. 2(x + 2)
• C. (2x + 1)
• D. (x² + 4)

(a) Solve the inequality : \(\frac{2}{5}(x - 2) - \frac{1}{6}(x + 5) \leq 0\).

(b) Given that P = \(\frac{x^{2} - y^{2}}{x^{2} + xy}\),

(i) express P in its simplest form ; (ii) find the value of P if x = -4 and y = -6.

solve the equation cos x + sin x \(\frac{1}{cos x - sinx}\) for values of such that 0 \(\leq\) x< 2\(\pi\)

• A. \(\frac{\pi}{2}\), \(\frac{3\pi}{2}\)
• B. \(\frac{\pi}{3}\), \(\frac{2\pi}{3}\)
• C. 0, \(\frac{\pi}{3}\)
• D. 0, \(\pi\)

A thermometer reading 32 C was kept in boiling water for five minutes. What would be the temperature reading?

• A. 32 C
• B. 100 C
• C. 160 C
• D. 144 C

A curve is given by \(y = 5 - x - 2x^{2}\). Find the equation of its line of symmetry.

• A. \(x = \frac{-41}{8}\)
• B. \(x = \frac{-1}{4}\)
• C. \(x = \frac{1}{4}\)
• D. \(x = \frac{41}{8}\)

If tan x = 1, evaluate sin x + cos x, leaving your answer in the surd form

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

In which of the following series can be the formula S = \(\frac{a}{1 - r}\) where a is the first term and r is the common ratio, be used to find the sum of all the terms?

• A. 4 + 8 + 16 + 32 + ...
• B. \(\frac{1}{2}\) + 2 \(\frac{1}{2}\) + 12\(\frac{1}{2}\) + 62 \(\frac{1}{2}\) + ..
• C. \(\frac{4}{81}\) + \(\frac{2}{27}\) + \(\frac{1}{9}\) + \(\frac{1}{6}\) + ...
• D. 128 + 64 + 32 + 16 + ...

The number of goals scored by a football team in 20 matches is shown in the table below

What is the modal goal scored?

• A. 0
• B. 1
• C. 2
• D. 5

Find the area of the sector OPSQ

• A. 15.40cm²
• B. 17.64cm²
• C. 23.10cm²
• D. 32.34cm²