In the diagram, PS and RS are tangents to the circle centre O,

• A. 110°
• B. 135°
• C. 165°
• D. 225°

Given that \(\tan x = \frac{5}{12}\), and \(\tan y = \frac{3}{4}\), Find \(\tan (x + y)\).

• A. \(\frac{16}{33}\)
• B. \(\frac{33}{56}\)
• C. \(\frac{33}{16}\)
• D. \(\frac{56}{33}\)

Simplify 3\(\frac{1}{3}\) - 1\(\frac{1}{4}\) x \(\frac{2}{3}\) + 1\(\frac{2}{5}\)

• A. 2
• B. 3
• C. 4
• D. 5

Given that the various faces of a fair dice 1, 2, 3, 4, 5, 6 appeared 30, 43, 54, 40, 41, 32 times respectively in a single toss. Picture the figures as being represented in a simple table with number (X) against frequency (f).

If a pie chart is used to depict the data, the angle corresponding to 4 is?

• A. 10°
• B. 16°
• C. 40°
• D. 60°

H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.

• A. H = \(\frac{p}{4y^2}\)
• B. H = \(\frac{2p}{y^2}\)
• C. H = \(\frac{p}{2y^2}\)
• D. H = \(\frac{p}{y^2}\)

The table shows the distribution of the distance (in km) covered by 40 hunters while hunting.

What is the mode of the distribution?

• A. 5
• B. 6
• C. 7
• D. 8

If⁶P_r = 6, find the value of⁶P_r+1

• A. 30
• B. 33
• C. 35
• D. 15

The bar chart represents the distribution of marks scored by students in an economics examination. Use the bar chart to answer questions 30 to 32

If the failed mark was 4, what is the probability that a student selected at random passed?

• A. 0.36
• B. 0.74
• C. 0.52
• D. 0.64

If \(p\propto \frac{1}{q}\), which of the following is true?

• A. \(\propto p^{2}\)
• B. \(p\propto \frac{1}{q^{2}}\)
• C. \(q\propto \sqrt{p}\)
• D. \(q\propto \frac{1}{p}\)

The mean age group of some students is 15years. When the age of a teacher, 45 years old, is added to the ages of the students, the mean of their ages become 18 years. Find the number of students in the group.

• A. 7
• B. 9
• C. 15
• D. 42