\(\begin{array}{c|c}

Scores & 3 & 6 & 5 & 2 \\

\hline

Frequency & 2 & 3 & 4 & 6

\end{array}\)

From the table above, find the median

• A. 3
• B. 5
• C. 4
• D. 6

The distance s metres of a particle from a fixed point at time t seconds is given by \(s = 7 + pt^{3} + t^{2}\), where p is a constant. If the acceleration at t = 3 secs is \(8 ms^{-2}\), find the value of p.

• A. \(\frac{1}{3}\)
• B. \(\frac{4}{9}\)
• C. \(\frac{5}{9}\)
• D. \(1\)

Simplify 0.000215 x 0.000028 and express your answer in standard form

• A. 6.03 x 10⁹
• B. 6.02 x 10⁹
• C. 6.03 x 10^-9
• D. 6.02 x 10^-9

Three forces \(F_{1} = (8 N, 300°), F_{2} = (6 N, 090°)\) and \(F_{3} = (4 N, 180°)\) act on a particle. Find the vertical component of the resultant force.

• A. 2 N
• B. 10 N
• C. \((4 + 4\sqrt{3})N\)
• D. \((6 - 4\sqrt{3})N\)

In a bag of oranges, the ratio of the good ones to the bad ones is 5:4. If the number of bad oranges in the bag is 36, how many oranges are there in the altogether?

• A. 81
• B. 72
• C. 54
• D. 45

The square root of 256 is..............

• (a) 13
• (B) 14
• (c) 16
• (d) 12

What is the derivative of t² sin (3t - 5) with respect to t?

• A. 6t cos (3t - 5)
• B. 2t sin (3t - 5) - 3t² cos (3t - 5)
• C. 2t sin (3t - 5) + 3t² cos (3t - 5)
• D. 2t sin (3t - 5) + t² cos 3t

In a college, the number of absentees recorded over a period of 30 days was as shown in the frequency distribution table

Calculate the : (a) Mean

(b) Standard deviation , correct to two decimal places.

The table below shows the corresponding values of two variables X and Y.

(a) Plot a scatter diagram to represent the data.

(b) Calculate \(\bar{x}\), the mean of X and \(\bar{y}\), the mean of Y.

(c) Draw the line of best fit to pass through \((\bar{x}, \bar{y})\).

(d) From your graph in (c), determine the (i) relationship between X and Y ; (ii) value of Y when X is 24.

If \(\frac{(2\sqrt{3}-\sqrt{2})}{(\sqrt{3}+2\sqrt{2})} = m +n\sqrt{6}\), find the values of m and n respectively.

• A. 1, -2
• B. -2, 1
• C. −2/5, 1
• D. 2, 3/5