Which of the following angular inequalities defines an obtuse angle?

A. 0° < x < 90°

B. 0° ≤ x > 180°

C. 90° < x < 180°

D. 90° ≤ x < 180°

E. 90° > x < 180°

If y + \(\frac{1}{y}\) = 9, evaluate y² + \(\frac{1}{y^2}\)

A. 27

B. 38

C. 54

D. 63

E. 79

If N25,000.00 is kept in a bank at the rate of 2% simple interest, how much will it amount to at the end of 5 years?

A. N2,500.00

B. N5,000.00

C. N12,500.00

D. N27,500.00

E. N125,000.00

Construct a quadratic equation whose roots are -\(\frac{3}{2}\) and 7

A. 3x² + 11x + 21 = 0

B. 2x² + 11x + 21 = 0

C. 2x² - 11x – 21 = 0

D. 3x² - 11x - 21 = 0

E. x² - 11x – 21 = 0

A chord XY of a circle with centre O and radius 5.32cm has ∠XOY = 140°. What is the length of the chord to the nearest centimetre?

A. 10cm

B. 6cm

C. 5cm

D. 3cm

E. 1cm

Rationalize the expression \(\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}\)

A. (44 + 3\(\sqrt{3}\)) ÷ 83

B. (44 + 2\(\sqrt{3}\)) ÷ 83

C. (44 - 3\(\sqrt{3}\)) ÷ 83

D. (44 - 4\(\sqrt{3}\)) ÷ 83

E. (44 - 2\(\sqrt{3}\)) ÷ 83

In proving the congruence of two triangles, which of the following is not important?

A. two sides and the included angles

B. two angles and a side

C. three sides

D. three angles

E. right angle, hypotenuse and another side

Bello chooses a number randomly from 1 to 10. What is the probability that it is either odd or prime?

A. \(\frac{1}{10}\)

B. \(\frac{2}{5}\)

C. \(\frac{1}{2}\)

D. \(\frac{3}{5}\)

E. \(\frac{9}{10}\)

If tan α = \(\frac{1}{2}\) and tan β = \(\frac{1}{3}\) and both α and β are acute, find tan (α + β).

A. 0.015

B. 1

C. 10

D. 39.81

E. 45

Multiply (3\(\sqrt{a}\) - 4a) by (4a + 3\(\sqrt{a}\))

A. 9a + 16a²

B. 9a – 16a²

C. 3a + 16a²

D. 3a - 16a²

E. a - 16a²