Jamb Mathematics Past Questions and Answers

Question 1976:

• JAMB 2009

If y = 3 cos 4x, dy/dx equals

A. 6 sin 8x
B. -24 sin 4x
C. 12 sin 4x
D. -12 sin 4x

Question 1977:

• JAMB 2009

Find the value of sin 45^o - cos 30^o

A. \(\frac{2+\sqrt{3}}{4}\)
B. \(\frac{\sqrt{2}+\sqrt{3}}{4}\)
C. \(\frac{\sqrt{2}+\sqrt{3}}{2}\)
D. \(\frac{\sqrt{2}-\sqrt{3}}{2}\)

Question 1978:

• JAMB 2009

A cliff on the bank of a river is 300 meter high. if the angle of depression of a point on the opposite side of the river is 60^o, find the width of the river.

A. 100m
B. 75√3 m
C. 100√3m
D. 200√3m

Question 1979:

• JAMB 2009

If s = (2 + 3t)(5t - 4), find ds/dt when t = 4/5 secs

A. 0 units per sec
B. 15 units per sec
C. 22 unit per sec
D. 26 units per sec

Question 1980:

• JAMB 2009

The distance travelled by a particle from a fixed point is given as s = (t³ - t² - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point.

A. 2.3 cm
B. 4.0 cm
C. 5.2 cm
D. 6.0 cm