Further Mathematics 2020 Waec Past Questions and Answers

Question 41 :

• WAEC 2020

Simplify; \(\frac{\sqrt{5} + 3}{4 - \sqrt{10}}\)

A. \(\frac{2}{3}\)\(\sqrt{5}\) + \(\frac{5}{6}\sqrt{2}\) + 2
B. \(\frac{2}{3}\)\(\sqrt{5}\) + \(\frac{5}{6}\sqrt{2}\) + \(\frac{1}{2}\sqrt{10}\)
C. \(\frac{2}{3}\)\(\sqrt{5}\) + \(\frac{5}{6}\sqrt{2}\) + \(\frac{1}{2}\sqrt{10}\) + 2
D. \(\frac{2}{3}\)\(\sqrt{5}\) - \(\frac{5}{6}\sqrt{2}\) + \(\frac{1}{2}\sqrt{10}\) + 2

Question 42 :

• WAEC 2020

If \(\frac{6x + k}{2x^2 + 7x - 15}\) = \(\frac{4}{x + 5} - \frac{2}{2x - 3}\). Find the value of k.

A. - 21
B. - 22
C. - 24
D. - 25

Question 43 :

• WAEC 2020

Differentiate \(\frac{x}{x + 1}\) with respect to x.

A. \(\frac{x}{x + 1}\)
B. \(\frac{-1}{x + 1}\)
C. \(\frac{1 - x}{(x + 1)^2}\)
D. \(\frac{1}{(x + 1)^2}\)

Question 44 :

• WAEC 2020

Given that 2x + 3y - 10 and 3x = 2y - 11, calculate the value of (x - y).

A. 5
B. 3
C. - 3
D. - 5

Question 45 :

• WAEC 2020

Determine the coefficient of x\(^3\) in the binomial expansion of ( 1 + \(\frac{1}{2}\)x)

A. \(\frac{5}{8}\)
B. \(\frac{5}{6}\)
C. \(\frac{5}{4}\)
D. \(\frac{5}{2}\)