Waec Further Mathematics Past Questions and Answers

Question 566:

• WAEC 2012

The table gives the distribution of heights in metres of 100 students.

Height	1.40-1.42	1.43-1.45	1.46-1.48	1.49-1.51	1.52-1.54	1.55-1.57	1.58-1.60	1.61-1.63
Freq	2	4	19	30	24	14	6	1

(a) Calculate the : (i) mean height ; (ii) mean deviation of the distribution.
(b) What is the probability that the height of a student selected at random is greater than the mean height of the distribution?

Question 567:

• WAEC 2012

(a) Two items are selected at random from four items labelled (p, q, r, s).
(i) List the sample space if sampling is done (1) with replacement ; (2) without replacement.
(ii) Find the probability that r is at least one of the two objects selected : (1) in a(i)1 ; (2) in a(i)2.
(b) How many whole numbers from 100 to 999 are divisible by (i) 4 ; (ii) both 3 and 4?

Question 568:

• WAEC 2012

(a) A body P of mass 5kg is suspended by two light inextensible strings AP and BP attached to a ceiling. If the strings are inclined at angles 40° and 30° respectively to the downward vertical, find the tension in each of the strings. [Take \(g = 10 ms^{-2}\)].
(b) A constant force F acts on a toy car of mass 5 kg and increases its velocity from 5 ms\(^{-1}\) to 9 ms\(^{-1}\) in 2 seconds. Calculate :
(i) the magnitude of the force ; (ii) velocity of the toy car 3 seconds after attaining a velocity of 9 ms\(^{-1}\).

Question 569:

• WAEC 2012

(a) Given that \(p = (4i - 3j)\) and \(q = (-i + 5j)\), find r such that \(|r| = 15\) and is in the direction \((2p + 3q)\).
(b)
Forces of magnitude 8N, 6N and 4N act at the point P, as shown in the above diagram. Find the : (i) magnitude ; (ii) direction of the resultant force.

Question 570:

• WAEC 2013

A binary operation * is defined on the set of real numbers, R, by \(x * y = x + y - xy\). If the identity element under the operation * is 0, find the inverse of \(x \in R\).

A. \(\frac{-x}{1 - x}, x \neq 1\)
B. \(\frac{1}{1 - x}, x \neq 1\)
C. \(\frac{-1}{1 - x}, x \neq 1\)
D. \(\frac{x}{1 - x}, x \neq 1\)