Jamb Mathematics 1994 Past Questions and Answers

Question 31:

• JAMB 1994

The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff?

A. \(\frac{5√3m}{3}\)
B. 5√3m
C. 10√3m
D. \(\frac{10√3m}{3}\)

Question 32:

• JAMB 1994

What is the value of sin(-690)?

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

Question 33:

• JAMB 1994

If y = 3t³ + 2t² - 7t + 3, find \(\frac{dy}{dt}\) at t = -1

A. -1
B. 1
C. -2
D. 2

Question 34:

• JAMB 1994

Find the point (x, y) on the Euclidean plane where the curve y = 2x² - 2x + 3 has 2 as gradient

A. (1, 3)
B. (2, 7)
C. (0, 3)
D. (3, 15)

Question 35:

• JAMB 1994

Evaluate \(\int^{1}_{-1}(2x + 1)^2 \mathrm d x\)

A. 3\(\frac{2}{3}\)
B. 4
C. 4\(\frac{1}{3}\)
D. 4\(\frac{2}{3}\)