Further Mathematics 2019 Waec Past Questions and Answers

Question 46 :

• WAEC 2019

In the diagram, a mass of 12kg hanging from a light inextensible string is pulled aside by a horizontal force, R, such that the string is inclined at 45\(^o\) to the vertical. If the system is in equilibrium, calculate the;
(a) tension in the string;
(b) value of R

Question 47 :

• WAEC 2019

(a). \(\frac{T}{\sin 90^o}\) = \(\frac{120}{sin 135^o}\) and found T = 169.71N
(b) \(\frac{R}{\sin 135^o}\) = \(\frac{120}{\sin 135^o}\)
R = 120N

Question 48 :

• WAEC 2019

(a) If sin p = \(\frac{1}{2}\) and cos q = \(\frac{1}{3}\), evaluate sin(p - q), where 0\(^o\) \(\geq\) p \(\geq\) 90\(^o\) and 90\(^o\) \(\geq\) q \(\geq\) 180\(^o\)

b) Using trapezum rule with seven ordinates, evaluate \(\int^4_1\frac{2}{\sqrt{x + 3}}\)dx

Question 49 :

• WAEC 2019

Using determinants, solve the following equations simultaneously.
5x — 6y + 4z = 15
7x + 4y — 3z = 19
2x + y + 6z = 46

Question 50 :

• WAEC 2019

The table shows the distribution of masks obtained by students in an examination.

Marks	50 - 54	55 - 59	60 - 64	65 - 69	70 - 74	75 - 79	80 - 84	85 - 89
Frequency	5	15	20	28	12	9	7	4

Using an assumed mean of 67, calculate, correct to one decimal place. the
a) Mean
b) Standard deviation of the distribution