Waec Further Mathematics 2019 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${}^o$ $\ge$ p $\ge$ 90${}^o$ and 90${}^o$ $\ge$ q $\ge$ 180${}^o$

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