Waec Further Mathematics Past Questions and Answers

Question 136:

• WAEC 2015

A mass of 75kg is placed on a lift. Find the force exerted by the floor of the lift on the mass when the lift is moving up with constant velocity. \([g = 9.8ms^{-2}]\)

A. 750N
B. 745N
C. 735N
D. 98N

Question 137:

• WAEC 2015

Each of the 90 students in a class speak at least Igbo or Hausa. If 56 students speak Igbo and 50 speak Hausa, find the probability that a student selected at random from the class speaks Igbo only.

A. \(\frac{28}{45}\)
B. \(\frac{4}{9}\)
C. \(\frac{8}{45}\)
D. \(\frac{1}{9}\)

Question 138:

• WAEC 2015

If \(x = i - 3j\) and \(y = 6i + j\), calculate the angle between x and y.

A. 60°
B. 75°
C. 81°
D. 85°

Question 139:

• WAEC 2015

The gradient of a curve at the point (-2, 0) is \(3x^{2} - 4x\). Find the equation of the curve.

A. \(y = 6x - 4\)
B. \(y = 6x^{2} - 4x + 12\)
C. \(y = x^{3} - 2x^{2}\)
D. \(y = x^{3} - 2x^{2} + 16\)

Question 140:

• WAEC 2015

If \(\alpha\) and \(\beta\) are the roots of \(x^{2} + x - 2 = 0\), find the value of \(\frac{1}{\alpha^{2}} + \frac{1}{\beta^{2}}\).

A. \(\frac{5}{4}\)
B. \(\frac{3}{4}\)
C. \(\frac{1}{4}\)
D. \(\frac{-3}{4}\)