Rate of change - Jamb Mathematics Past Questions and Answers

Question 1:

• JAMB 1979

The mean of the numbers 1.2, 1.0, 0.9, 1.4, 0.8, 0.8, 1.2 and 1.1 is

A. 1.5
B. 0.8
C. 1.0
D. 1.02
E. 1.05

Question 2:

• JAMB 1992

Ice forms on a refrigerator ice-box at the rate of (4 - 06t)g per minute after t minutes. If initially there are 2g of ice in the box, find the mass of ice formed in 5 minutes

A. 19.5
B. 17.0
C. 14.5
D. 12.5

Question 3:

• JAMB 1992

a student blows a balloon and its volume increases at a rate of \(\pi\)(20 - t²)cm³S^-1 after t seconds. If the initial volume is 0 cm³, find the volume of the balloon after 2 seconds

A. 37.00\(\pi\)
B. 37.33\(\pi\)
C. 40.00\(\pi\)
D. 42.67\(\pi\)

Question 4:

• 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 5:

• JAMB 2001

Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.

A. 12π
B. 4π
C. 24π
D. 8π