For what values of x is \(\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}\) undefined?

• A. 6 or 3
• B. -18 or -9
• C. -7 or 5
• D. -5 or 7

The table shows the marks scored by a group of students in a class test.

(a)(i) Calculate the mean mark ; (ii) Find the median.

(b) If the information were to be represented in a pie chart, what would be the sectorial angle for the mark 2?

What is the product of \(\frac{27}{5}\), \((3)^{-3}\) and (\(\frac{1}{5})^{-1}\)?

• A. 5
• B. 3
• C. 1
• D. 1/25

Simplify \(\frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}}\)

• A. 3\(\sqrt{6} - 7\)
• B. 3\(\sqrt{6} + 7\)
• C. 3\(\sqrt{6} - 1\)
• D. 3\(\sqrt{6} + 1\)

(a) Simplify \(\frac{x + 2}{x - 2} - \frac{x + 3}{x - 1}\)

(b) The graph of the equation \(y = Ax^{2} + Bx + C\) passes through the point (0, 0), (1, 4) and (2, 10). Find the :

(i) value of C ; (ii) values of A and B ; (iii) co-ordinates of the other point where the graph cuts the x- axis.

The data below shows the number of worker?

employed in the various sections of a construction

company in Lagos.

Carpenters 24 Labourers 27

Plumbers 12 Plasterers 15

Painters 9 Messengers 3

Bricklayers 18

If a worker is retrenched, what is the probability that he is a plumber or plasterer.

• A. 1/27
• B. 1/9
• C. 5/36
• D. 1/4

A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm², find the distance between the parallel sides

• A. 3 cm
• B. 4 cm
• C. 6 cm
• D. 7 cm

Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2

• A. 1.03
• B. 0.07
• C. 0.03
• D. 1.0

Given that the straight lines \(kx - 5y + 6 = 0\) and \(mx + ny - 1 = 0\) are parallel, find a relationship connecting the constants m, n and k.

• A. 5n - km = 0
• B. kn + 5m = 0
• C. 5n + km = 0
• D. kn - 5m = 0

Find the \(n^{th}\) term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12...

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