If M(4, q) is the mid-point of the line joining L(p, -2) and N(q, p). Find the values of p and q

• A. P = 2, q = 4
• B. p = 3, q = 1
• C. p = 5, q = 3
• D. p = 6, q = 2

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

Find the variance of the frequency distribution above

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

The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff?

• A. \(\frac{5√3m}{3}\)
• B. 5√3m
• C. 10√3m
• D. \(\frac{10√3m}{3}\)

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

This table shows the frequency distribution of a data if the mean is \(\frac{43}{14}\) find y

• A. 1
• B. 2
• C. 3
• D. 4

Without using table, solve the equation 8x^-2 = \(\frac{2}{25}\)

• A. 4
• B. 6
• C. 8
• D. 10

What is the value of sin(-690)?

• A. \(\frac{\sqrt{3}}{2}\)
• B. -\(\frac{\sqrt{3}}{2}\)
• C. \(\frac{-1}{2}\)
• D. \(\frac{1}{2}\)

The mean of twelve positive numbers is 3. When another number is added, the mean becomes 5. Find the thirteenth number

• A. 29
• B. 26
• C. 25
• D. 24

Find the point (x, y) on the Euclidean plane where the curve y = 2x² - 2x + 3 has 2 as gradient

• A. (1, 3)
• B. (2, 7)
• C. (0, 3)
• D. (3, 15)

\(\begin{array}{c|c} \text{Age in years} & 10 & 11 & 12 \\ \hline \text{Number of pupils} & 6 & 27 & 7\end{array}\)

The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?

• A. \(\frac{27}{40}\)
• B. \(\frac{17}{20}\)
• C. \(\frac{33}{40}\)
• D. \(\frac{3}{20}\)

In a survey, it was observed that 20 students read newspapers and 35 read novels. If 40 of the students read either newspapers or novels, what is the probability of the students who read both newspapers and novels?

• A. \(\frac{1}{2}\)
• B. \(\frac{2}{3}\)
• C. \(\frac{3}{8}\)
• D. \(\frac{3}{11}\)