Further Mathematics 2019 Waec Past Questions and Answers

Question 61 :

• WAEC 2019

The curve y = 7 - \(\frac{6}{x}\) and the line y + 2x - 3 = 0 intersect at two point. Finf the;
(a) coordinates of the two points
(b) equation of the perpendicular bisector of the line joining the two points

Question 62 :

• WAEC 2019

(a) Find the range of value of p for which 4x\(^2\) - px + 1 = 0
(b)(i) Expand (1 + 3x)\(^6\) in ascending powers of x
(ii) Using the expression in 10
(ii) find, correct to four significant figures, the value of (1.03)\(^6\)

Question 63 :

• WAEC 2019

In an examination, 60% of the candidates passed. If 10 candidates are selected at random, find the probability that;
(1) at least two of the, failed
(2) exactly half of them passed
(3) at most two of them failed

Question 64 :

• WAEC 2019

In a research to determine the relationship between performance of students in an entrance examination and subsequent school performance, the results of ten randomly selected students wre obtained as follows;

Students	A	B	C	D	E	F	G	H	I
Performance in Entrance Examination	11	12	8	13	6	15	10	14	17
School Performance	5	10	9	7	4	8	6	14	11

1, Calculate the spearman's rank correlation coefficient
2. What would be the researcher's from the result in a?

Question 65 :

• WAEC 2019

A body, moving at 20ms\(^{-1}\) accelerates uniformly at 2\(\frac{1}{2}ms^{-2}\) for 4 seconds. It continues the journey at this speed for 8 seconds, before coming to rest seconds at tseconds after with uniform retardation. If the ratio of the acceleration to retardation is 3 : 4
(a( sketch the velocity - times graph of the journey
(b) find t
(c) find the total distance of the journey