Find the range of values of x for which 2x\(^2\) + 7x - 15 ≥ 0.

• A. x ? -5 or x ? \(\frac{3}{2}\)
• B. x ? -5 or x ?\(\frac{3}{2}\)
• C. -5 ? x ? \(\frac{3}{5}\)
• D. \(\frac{3}{5}\) ? x ? -5

Given that \(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\)

= x + y\(\sqrt{15}\), find the value of (x + y)

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

Factorize completely 81a\(^4\) - 16b\(^4\)

• A. (3a + 2b)(2a - 3b)(9a² + 4b²)
• B. (3a - 2b)(2a - 3b)(4a² - 9b²)
• C. (3a - 2b)(3a + 2b)(9a² + 4b²)
• D. (6a - 2b)(8a - 3b)(4a³ - 9b²)

What is the locus of a point P which moves on one side of a straight line XY, so that the angle XPY is always equal to 90o?

• A. the perpendicular bisector of XY
• B. a right-angled triangle
• C. a circle
• D. a semi circle

A man’s annual salary is N132,000. What is his monthly salary?

• a. N11,000
• b. N12,000
• c. N13,000
• d. N22,000

The table above shows the marks obtained by 100 pupils in a test. Find the probability that a student picked at random scored at least 14 marks.

• A. 0.22
• B. 0.41
• C. 0.49
• D. 0.63

Which of the following is a factor of 15 + 7x - 2x2

• A. x + 3
• B. x - 3
• C. x - 5
• D. x + 5

In the diagram below, M, N, R are points on the circle centre O. ∠ORN = 48° and ∠RNM = 124°. Find ∠OMN.

• A. \(58^0\)
• B. \(64^0\)
• C. \(48^0\)
• D. \(76^0\)

Find the locus of a particle which moves in the first quadrant so that it is equidistant from the lines x = 0 and y = 0 (where k is a constant)?

• A. x + y = 0
• B. x - y = 0
• C. x + y + k = 0
• D. x - y - k = 0

What is the value of x when y = 5?

y = \(\frac{1}{2}\) x + 1

• A. 8
• B. 9
• C. 10
• D. 11