In the figure, PQR is a semicircle. Calculate the area of the shaded region

• A. 125^{\(\frac{2}{7}\)2}
• B. 149^{\(\frac{2}{7}\)}cm²
• C. 234^{\(\frac{1}{7}\)}cm²
• D. 267^{\(\frac{1}{2}\)}cm²

If \(y \propto \frac{1}{x^2}\) and x = 3 when y = 4, find y when x = 2.

• A. 1
• B. 3
• C. 9
• D. 18

The binary operation on the set of real numbers is defined by m*n = mn/2 for all m, n ∈ R. If the identity element is 2, find the inverse of -5

• A. −4/5
• B. −2/5
• C. 4
• D. 5

A man bought a second-hand photocopying machine for N34,000. He serviced it at a cost of N2,000 and then sold it at a profit of 15%. What was the selling price?

• A. N37,550
• B. N40,400
• C. N41,400
• D. N42,400

Simplify \(\frac{m}{n} + \frac{(m - 1)}{5n} = \frac{(m - 2)}{10n}\) where n \(\neq\) 0

• A. \(\frac{m - 3}{10n}\)
• B. \(\frac{11m}{10n}\)
• C. \(\frac{m + 1}{10n}\)
• D. \(\frac{11m + 4}{10n}\)

A box contains 5 red, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at random?

• A. \(\frac{1}{6}\)
• B. \(\frac{1}{4}\)
• C. \(\frac{1}{3}\)
• D. \(\frac{1}{2}\)

(a) If A = {multiples of 2}, B = {multiples of 3} and C = {factors of 6} are subsets of \(\mu\) = {x:1 \(\leq\) x \(\leq\) 10} find A ′ \(\cap\) B ′ \(\cap\) C′

(b) Tickets for a movie premiere cost $18.50 each while the bulk purchase price for 5 tickets is $80.00. If 4 gentlemen decide to get a fifth person to join them so that they can share the bulk purchase price equally, how much would each person save?

The following table shows the distribution of test scores in a class.

(a) If the mean score of the class is 6, find the : (i) value of k (ii) median score.

(b) Draw a bar chart for the distribution.

(c) If a pupil is picked at random, what is the probability that he/ she will score less than 6?

Calculate and correct to two significant figures, the percentage error in approximating 0.375 to 0.4

• A. 2.0
• B. 2.5
• C. 6.6
• D. 6.7

The grades of 36 students in a class test are as shown in the pie chart. How many student has excellent?

• A. 7
• B. 8
• C. 9
• D. 12