Jamb Mathematics 2000 Past Questions and Answers

Question 26:

• JAMB 2000

If y = 2x - sin2x, find dy/dx when x = π/4

A. π
B. -π
C. π/2
D. -π/2

Question 27:

• JAMB 2000

A bowl is designed by revolving completely the area enclosed by y = x² - 1, y = 3 and x ≥ 0 around the axis. What is the volume of this bowl?

A. 7π cubic units
B. 15π/2 cubic units
C. 8π cubic units
D. 17π/2 cubic units

Question 28:

• JAMB 2000

If the volume of a hemisphere is increasing at a steady rate of 18π m\(^{3}\) s\(^{-1}\), at what rate is its radius changing when its is 6m?

A. 2.50m/s
B. 2.00 m/s
C. 0.25 m/s
D. 0.20 m/s

Question 29:

• JAMB 2000

X and Y are two events. The probability of X or Y is 0.7 and that of X is 0.4. If X and Y are independent, find the probability of Y.

A. 0.30
B. 0.50
C. 0.57
D. 1.80

Question 30:

• JAMB 2000

If the mean of the numbers 0, (x+2), (3x+6), and (4x+8) is 4, find their mean deviation.

B. 2
C. 3
D. 4