The following are scores obtained by some students in a test. Find the median score

• A. 14.5
• B. 14.0
• C. 13.5
• D. 13.0

Find the range of values of x which satisfies the inequality 12x²< x + 1

• A. -\(\frac{1}{4}\)< x< \(\frac{1}{3}\)
• B. \(\frac{1}{4}\)< x< -\(\frac{1}{3}\)
• C. -\(\frac{1}{3}\)< x< \(\frac{1}{4}\)
• D. -\(\frac{1}{4}\)< x< - \(\frac{1}{3}\)

which of the following statements describes the locus of a point R which moves in a plane such that its equidistant from two intersecting lines?

• A. the bisector of the angle formed by the lines
• B. the point of intersection of the two lines
• C. A cone, with two intersecting lines as slant height
• D. A circle, with the point of intersection of the two lines as the center

The probabilities that John and Jane will pass an examination are 0.9 and 0.7 respectively. Find the probability that at least one of them will pass the examination.

• A. 0.28
• B. 0.67
• C. 0.72
• D. 0.97

The lengths of the adjacent sides of a right - angled triangle are xcm, (x-1)cm. If the length of the hypotenuse is √13cm, find the value of x

• A. 2
• B. 3
• C. 4
• D. 5

(a) The inverse of a function \(f\) is given by \(f^{-1}(x)=\frac{5x - 6}{4 - x},x ≠ 4\).Find the:

function, \(f (x)\)

(b) The inverse of a function \(f\) is given by \(f^{-1}(x)=\frac{5x - 6}{4 - x},x ≠ 4\).Find the:

value of x for which \(f (x) = 5\)

Given that I3 is a unit matrix of order 3, find |I3|

• A. -1
• B. 0
• C. 1
• D. 2

A box contains 14 white balls and 6 black balls. Find the probability of first drawing a black ball and then a white ball without replacement.

• A. 0.21
• B. 0.22
• C. 0.30
• D. 0.70

The table shows the distribution of ages of a number of children in a school. If the mean of the distribution is 7, find the;

(a) value of x, (b) standard deviation of their ages.

Express \(\frac{5x - 12}{(x - 2)(x - 3)}\) in partial fractions

• A. \(\frac{2}{x + 2} - \frac{3}{x - 3}\)
• B. \(\frac{2}{x - 2} + \frac{3}{x - 3}\)
• C. \(\frac{2}{x - 3} - \frac{3}{x - 2}\)
• D. \(\frac{5}{x - 3} - \frac{4}{x - 2}\)