In the diagram below, PQR is a circle centre O. If< QPR is x°, find< QRP.

• A. x°
• B. (90 – x)°
• C. (90 + x)°
• D. (180 – x)°

If the 9th term of an A.P is five times the 5th term, find the relationship between a and d.

• A. 2a + 2 = 0
• B. 3a + 5d = 0
• C. a + 3d = 0
• D. a + 2d = 0

(a) The angle of a sector of a circle radius 7cm is 108°. Calculate the perimeter of the sector. [Take \(\pi = \frac{22}{7}\)]

(b) A boat is on the same horizontal level as the foot of a cliff, and the angle of depression of the boat from the top of the cliff is 30°. If the boat is 120m away from the foot of the cliff, find the height of the cliff correct to three significant figures.

If M = {x : 3 \(\leq\) x < 8} and N = {x : 8 < x \(\leq\) 12}, which of the following is true?

i. 8 \(\in\) M \(\cap\) N

ii. 8 \(\in\) M \(\cup\) N

iii. M \(\cap\) N = \(\varnothing\)

• A. iii only
• B. i and ii
• C. ii and iii only
• D. i, ii and iii

Solve \(\frac{y+2}{4}\) - \(\frac{y-1}{3}\) > 1

• A. y < -10
• B. y < -2
• C. y < 2
• D. y < 10

\(\begin{array}{c|c} x & 1 & 2 & 3 & 4 & 5 \\ \hline f & 2 & 1 & 2 & 1 & 2\end{array}\)

Find the variance of the frequency distribution above

• A. \(\frac{3}{2}\)
• B. \(\frac{9}{4}\)
• C. \(\frac{5}{2}\)
• D. 3

If α and β are the roots of the equation 3x² + 5x - 2 = 0, find the value of 1/α + 1/β

• A. -5/3
• B. -2/3
• C. 1/2
• D. 5/2

In how many ways can the letter of ZOOLOGY be arranged?

• A. 720
• B. 360
• C. 840
• D. 120

Given that \(2^{x} = 0.125\), find the value of x.

• A. 0
• B. -1
• C. -2
• D. -3

Find the median of the set: 7,10,16,16,16,16,17,23,25,27,30,31,41,57,57,58

• A. 23.5
• B. 23
• C. 25
• D. 24