P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.

• A. 6.5 units
• B. 13.0 units
• C. 3.5 units
• D. 7.0 units

If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively. Find the product of the modal and the median number

• A. 36
• B. 48
• C. 30
• D. 40

The angle between the positive horizontal axis and a given line is 135^o. Find the equation of the line if it passes through the point (2,3)

• A. x - y = 1
• B. x + y = 1
• C. x + y = 5
• D. x - y = 5

(a) Copy and complete the table of values for the relation y = 3 sin 2x.

(b) Using a scale of 2 cm to 15° on the x-axis and 2cm to I unit on the y-axis, draw the graph of y = 3 sin 2x for 0° \(\geq\) x \(\geq\) 150°.

(c) Use the graph to find the truth set of;

(i) 3 sin 2x + 2 = 0;

(ii ) \(\frac{3}{2}\) sin 2x = 0.25.

X and Y are two events. The probability of X or Y is 0.7 and that of X is 0.4. If X and Y are independent, find the probability of Y.

• A. 0.30
• B. 0.50
• C. 0.57
• D. 1.80

Make Q the subject of formula when \(L=\frac{4}{3}M\sqrt{PQ}\)

• A. \(\frac{9L^2}{16M^2}P\)
• B. \(\frac{3L}{4M\sqrt{P}}\)
• C. \(\frac{\sqrt{3L}}{4MP}\)
• D. \(\frac{3L^2}{16M^2}P\)

The height of a pyramid on square base is 15cm. If the volume is 80cm³, find the length of the side of the base

• A. 3.3cm
• B. 5.3cm
• C. 4.0cm
• D. 8.0cm

The inverse of a function is given by \(f^{-1} : x \to \frac{x + 1}{4}\).

• A. \(f : x \to 4x - 1\)
• B. \(f : x \to 4x + 1\)
• C. \(f : x \to \frac{4x - 1}{4}\)
• D. \(f : x \to \frac{x - 1}{2}\)

Solve the following equation: \(\frac{2}{(2r - 1)}\) - \(\frac{5}{3}\) = \(\frac{1}{(r + 2)}\)

• A. ( -1,\(\frac{5}{2}\) )
• B. ( 1, - \(\frac{5}{2}\) )
• C. ( \(\frac{5}{2}\), 1 )
• D. (2,1)

In an examination, Kofi scored x% in Physics, 50% in Chemistry and 70% in Biology. If his mean score for the three subjects was 55%, find x

• A. 40
• B. 45
• C. 55
• D. 60