Further Mathematics 2014 Waec Past Questions and Answers

Question 11 :

• WAEC 2014

If a fair coin is tossed four times, what is the probability of obtaining at least one head?

A. \(\frac{1}{2}\)
B. \(\frac{1}{4}\)
C. \(\frac{13}{16}\)
D. \(\frac{15}{16}\)

Question 12 :

• WAEC 2014

Forces 90N and 120N act in the directions and respectively. Find the resultant of these forces.

A. \(-45(2i + \sqrt{2}j)\)
B. \(60(\sqrt{3}i + 7j)\)
C. \(30(7i + \sqrt{3}j)\)
D. \(-15(7i + \sqrt{3}j)\)

Question 13 :

• WAEC 2014

The deviations from the mean of a set of numbers are \((k+3)^{2}, (k+7), -2, \text{k and (} k+2)^{2}\), where k is a constant. Find the value of k.

A. 3
B. 2
C. -2
D. -3

Question 14 :

• WAEC 2014

Find the equation of a circle with centre (2, -3) and radius 2 units.

A. \(x^{2} + y^{2} - 4x + 6y + 9 = 0\)
B. \(x^{2} + y^{2} + 4x - 6y - 9 = 0\)
C. \(x^{2} + y^{2} + 4x + 6y - 9 = 0\)
D. \(x^{2} + y^{2} + 4x - 6y + 9 = 0\)

Question 15 :

• WAEC 2014

The first term of a linear sequence is 9 and the common difference is 7. If the nth term is 380, find the value of n.

A. 45
B. 54
C. 56
D. 65