Waec Further Mathematics 2011 Past Questions and Answers

Question 46:

• WAEC 2011

(a) Write the following as column vectors: \(r = (10N, 090°) ; q = (8N, 135°)\).
(b) Use your answer in (a) to find \((r + q)\).

Question 47:

• WAEC 2011

(a) Evaluate \(\frac{^{9}P_{3}}{^{15}C_{3}} + \frac{^{5}C_{3}}{^{3}P_{2}}\) correct to two decimal places.
(b) A committee of 2 tutors and 5 pupils is to be formed among 6 tutors and 10 pupils. In how many ways can this be done if one particular tutor must be on the committee and two particular pupils must not be on the committee?

Question 48:

• WAEC 2011

A tyre manufacturing company researched into the life span of one type of their motorcycle tyres. The results were as follows :

Distance(100km)	10-19	20-29	30-39	40-49	50-59	60-69
Number of tyres	30	69	93	57	36	15

(a) Draw a histogram for the distribution.
(b) Use the histogram to estimate the mode.

Question 49:

• WAEC 2011

A particle of mass 400g is moving under the action of two forces \(F_{1} = (35N, 210°), F_{2} = (35\sqrt{3} N, 300°)\) and a resistance of 40N. Find the magnitude of the
(a) resultant of \(F_{1}\) and \(F_{2}\).
(b) resultant force acting on the particle.

Question 50:

• WAEC 2011

(a) Find, from first principles, the derivative of \(f(x) = (2x + 3)^{2}\).
(b) Evaluate : \(\int_{1} ^{2} \frac{(x + 1)(x^{2} - 2x + 2)}{x^{2}} \mathrm {d} x\)