Waec Further Mathematics 2021 Past Questions and Answers

Question 31:

• WAEC 2021

A stone is thrown vertically upward and distance, S metres after t seconds is given by S = 12t + \(\frac{5}{2t^2}\) - t\(^3\).
Calculate the maximum height reached.

A. 418.5m
B. 56.0m
C. 31.5m
D. 30.0m

Question 32:

• WAEC 2021

A stone is thrown vertically upward and distance, S metres after t seconds is given by S = 12t + \(\frac{5}{2t^2}\) - t\(^3\).
Calculate the distance travelled in the third second.

A. 5.5m
B. 14.5m
C. 26.0m
D. 30.0m

Question 33:

• WAEC 2021

Given that F\(^1\)(x) = x\(^3\) √x, find f(x)

A. \(\frac{2x^{9/2}}{9}\) + c

Question 34:

• WAEC 2021

If ( 1- 2x)\(^4\) = 1 + px + qx\(^2\) - 32x\(^3\) + 16\(^4\), find the value of (q - p)

A. -32
B. -16
C. 16
D. 32

Question 35:

• WAEC 2021

If sin x = \(\frac{12}{13}\) and sin y = \(\frac{4}{5}\), where x and y are acute angles, find cos (x + y)

A. \(\frac{48}{65}\)
B. \(\frac{13}{15}\)
C. \(\frac{-33}{65}\)
D. \(\frac{-48}{65}\)