Make 'n' the subject of the formula if w = \(\frac{v(2 + cn)}{1 - cn}\)

• A. \(\frac{1}{c}(\frac{w - 2v}{v + w})\)
• B. \(\frac{1}{c}(\frac{w - 2v}{v - w})\)
• C. \(\frac{1}{c}(\frac{w + 2v}{v - w})\)
• D. \(\frac{1}{c}(\frac{w + 2v}{v + w})\)

What is the equation of the curve?

• A. \(y=x^2+6x+4\)
• B. \(y=x^2-5x-4\)
• C. \(y=x^2-5x+4\)
• D. \(y=x^2+5x-4\)

(a) It takes 8 students two- thirds of an hour to fill 12 tanks with water. How many tanks of water will 4 students fill in one- third of an hour at the same rate?

(b) A chord, 20 cm long, is 12 cm from the centre of the circle. Calculate, correct to one decimal place, the :

(i) angle subtended by the chord at the centre of the circle;

(ii) perimeter of the minor segment cut off by the chord. [Take \(\pi = 3.142\)].

Which of the following sets is equivalent to \((P \cup Q) \cap (P \cup Q')\)?

• A. P
• B. \(P \cap Q\)
• C. \(P \cup Q\)
• D. \(\emptyset\)

The pie chart shows the distribution of marks scored by 200 pupils in a test.

(a) How many pupils scored : (i) between 41 and 50 marks? ; (ii) above 80 marks ?

(b) What fraction of the pupils scored at most 50 marks?

(c) What is the modal class?

A cylindrical pipe 50m long with radius 7m has one end open. What is the total surface area of the pipe?

• A. 749πm²
• B. 700πm²
• C. 350πm²
• D. 98πm²

Simplify \(\frac{2-18m^2}{1+3m}\)

• A. \(2(1+3m)\)
• B. \(2(1+3m^2)\)
• C. \(2(1-3m)\)
• D. \(2(1-3m^2)\)

If \(f : x → 2 tan x\) and \(g : x → √(x^2 + 8), find ( g o f )(45^o)\)

• A. 4
• B. 2√3
• C. 6
• D. 3√2

A trader made a loss of 10% on a motorcycle he sold for N54,000: How much should he have sold the motorcycle to make a gain of 10%?

• a. N60,000
• b. N62,000
• c. N64,000
• d. N66,000

(a)The table shows the distribution of heights ( cm ) of 60 seedlings in a vegetable garden.

Draw a histogram for the distribution.

(b) The table shows the distribution of heights ( cm ) of 60 seedlings in a vegetable garden.

Use the histogram to estimate the modal height of the seedlings.