Jamb Mathematics Past Questions and Answers

Question 511:

• JAMB 1978

Without using tables, simplify \(\frac{1n \sqrt{216} - 1n \sqrt{125} - 1n\sqrt{8}}{2(1n3 - 1n5)}\)

A. -3
B. 3
C. \(\frac{3}{5}\)
D. \(\frac{-3}{2}\)
E. 1n 6 - 2 1n 5

Question 512:

• JAMB 1978

Simplify \(\frac{(a^2 - \frac{1}{a}) (a^{\frac{4}{3}} + a^{\frac{2}{3}})}{a^2 - \frac{1}{a}^2}\)

A. A^{\(\frac{2}{3}\)}
B. A^{-\(\frac{1}{3}\)}
C. \(a^{2}\) + 1
D. A
E. A^{\(\frac{1}{3}\)}

Question 513:

• JAMB 1978

If x⁴ - kx³ + 10x² + 1x - 3 is divisible by (x - 1), and if when it is divided by (x + 2) the remainder is 27, find the constants k and 1

A. K = -7, 1 = -15
B. K = -15, 1 = -7
C. K = \(\frac{15}{3}\) , 1 = -7
D. K = \(\frac{7}{3}\) , 1 = -17

Question 514:

• JAMB 1978

Evaluate without using tables sin(-1290^o)

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

Question 515:

• JAMB 1978

The angle of elevation of the top of a vertical tower from a point A on the ground is 60^o. From a point B, 2 units of distance further away from the foot of the tower, the angle of elevation of the tower is 45^o. Find the distance of A from the foot of the tower

A. 3 + \(\sqrt{3}\)
B. 5 + \(\sqrt{3}\)
C. 3 - \(\sqrt{3}\)
D. 1
E. \(\sqrt{3}\) - 1