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

Numbers & 1 & 2 & 3 & 4 & 5 & 6 \\

\hline

Frequency & 18 & 22 & 20 & 16 & 10 & 14

\end{array}\)

The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?

• A. \(\frac{1}{5}\)
• B. \(\frac{1}{2}\)
• C. \(\frac{2}{5}\)
• D. \(\frac{3}{4}\)

If y = x sin x, Find \(\frac{d^2 y}{d^2 x}\)

• A. 2 cosx - x sinx
• B. sinx + x cosx
• C. sinx - x cosx
• D. x sinx - 2 cosx

If n items are arranged two at a time, the number obtained is 20. Find the value of n.

• A. 5
• B. 10
• C. 15
• D. 40

Divide 500 by half and then add 50. What do you have?

• A. 550
• B. 550.5
• C. 1050
• D. 1050.5

A cylinder of base radius 4cm is open at one end . If the ratio of the area of its base to that of its curved surface is 1:4, calculate the height of the cylinder

• A. 1cm
• B. 2cm
• C. 4cm
• D. 8cm

If log_x¹/264 = 3, find the value of x

• A. 4
• B. 16
• C. 32
• D. 64

The area of a sector of a circle is 3\(cm^{2}\). If the sector subtends an angle of 1.5 radians at the centre, calculate the radius of the circle.

• A. 1 cm
• B. \(\sqrt{2}\) cm
• C. 2 cm
• D. 4 cm

The bar chart shows the frequency distribution of marks scored by students in a class test. What is the median of the distribution?

• A. 2
• B. 4
• C. 6
• D. 8

Simplify ( \(\frac{1}{2 - √3}\) + \(\frac{2}{2 + √3}\) )\(^{-1}\)

• A. \(\frac{-1}{33}\)(6 + ?3)
• B. \(\frac{-1}{33}\)(6 - ?3)
• C. \(\frac{1}{33}\)(6 + ?3)
• D. \(\frac{1}{33}\)(6 - ?3)

For an arithmetical sequence, the first term is 2 and the common difference is 3. Find the sum of the first 11 terms

• A. 157
• B. 187
• C. 197
• D. 200