Waec Mathematics 2014 Past Questions and Answers

Question 26:

• WAEC 2014

If \(\frac{2}{x - 3} - \frac{3}{x - 2}\) is equal to \(\frac{p}{(x - 3)(x - 2)}\), find p

A. -x - 5
B. -(x + 3)
C. 5x - 13
D. 5 - x

Question 27:

• WAEC 2014

Subtract \(\frac{1}{2}\)(a - b - c) from the sum of \(\frac{1}{2}\)(a - b + c) and \(\frac{1}{2}\)
(a + b - c)

A. \(\frac{1}{2}\) (a + b + c)
B. \(\frac{1}{2}\) (a - b - c)
C. \(\frac{1}{2}\) (a - b + c)
D. \(\frac{1}{2}\) (a + b - c)

Question 28:

• WAEC 2014

A man's eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.

A. 33^o
B. 32^o
C. 27^o
D. 26^o

Question 29:

• WAEC 2014

A chord subtends an angle of 120^o at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord, [Take \(\pi = \frac{22}{7}\)]

A. 14\(\frac{1}{3}\)cm
B. 12\(\frac{5}{6}\)cm
C. 8\(\frac{1}{7}\)cm
D. 7\(\frac{1}{3}\)cm

Question 30:

• WAEC 2014

In parallelogram PQRS, QR is produced to M such that |QR| = |RM|. What fraction of the area of PQMS is the area of PRMS?

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