(a) The graph of \(y = 2px^{2} - p^{2}x - 14\) passes through the point (3, 10). Find the values of p.

(b) Two lines, \(3y - 2x = 21\) and \(4y + 5x = 5\) intersect at the point Q. Find the coordinates of Q.

A point P moves such that it is equidistant from Points Q and R. Find QR when PR = 8cm and angle PRQ = 30°

• A. 4√3cm
• B. 8cm
• C. 8√3cm
• D. 4cm

The table below gives the distribution of marks obtained by a number of pupils in a class test.

How many pupils scored at least 2 marks?

• A. 12
• B. 23
• C. 37
• D. 49

If the operation * on the set of integers is defined by P * Q = \(\sqrt{PQ}\), find the value of 4 * ( 8 * 32).

• A. 8
• B. 3
• C. 16
• D. 4

A uniform beam, WX, of length 90 cm and weight 50N is suspended on a pivot, 35 cm from W. It is kept in equilibrum by a means of forces T and 20N applied at Y and Z respectively. |WY| = 10cm and |XZ| = 10cm. Find the value of T

Find the LCM of \(2^{3}\times 3\times 5^{2}, 2\times 3^{2}\times 5 \hspace{1mm}and \hspace{1mm}2^{2}\times 3^{2}\times 5\)

• A. \(2^{2}\times 3^{3}\times 5^{2}\)
• B. \(2^{3}\times 3^{23}\times 5\)
• C. \(2^{2}\times 3^{2}\times 5^{2}\)
• D. \(2^{3}\times 3^{3}\times 5^{2}\)

The table above shows the distribution of marks scored by students in a test. How many candidates scored above the median score?

• A. 3
• B. 12
• C. 22
• D. 30

\(\begin{vmatrix} -2 & 1 & 1 \\ 2 & 1 & k \\1 & 3 & -1 \end{vmatrix}\) = 23

• A. 1
• B. 2
• C. 3
• D. 4

What is the missing number in : twenty and three, fifty and two and a half, four and two, and thirty nine and………?

• A. Four
• B. Five
• C. Four and a half
• D. Five and a half

If √5 cosx + √15sinx = 0, for 0° < x < 360°, find the values of x.

• A. 30° and 150°
• B. 150° and 210°
• C. 150° and 330°
• D. 210° and 330°