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Mathematics Past Questions and Answers

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Jamb Mathematics Questions

Question 511:

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

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

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Question 512:

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

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A A<sup style='font-size: smaller;'>\(\frac{2}{3}\)</sup>
B A<sup style='font-size: smaller;'>-\(\frac{1}{3}\)</sup>
C \(a^{2}\) + 1
D A
E A<sup style='font-size: smaller;'>\(\frac{1}{3}\)</sup>

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Question 513:

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

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

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Question 514:

Evaluate without using tables sin(-1290^o)

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

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Question 515:

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

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

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