Further Mathematics questions and answers

Further Mathematics Questions and Answers

Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.

176.

Solve, correct to three significant figures, (0.3)\(^x\) =  (0,5)\(^8\)

A.

4.61

B.

4.606

C.

0.461

D.

0.0130

Correct answer is A

(0,3)\(^x\) = (0.5)\(^8\) 

xlog 0,3 = 9 log 0.5

x = \(\frac{8 \log 0.5}{\log 0.3}\)

= 4.606

177.

A 35 N force acts on a body of mass 5 kg for 2 seconds. Calculate the change in momentum of the body.

A.

70 kg ms\(^{-1}\)

B.

55 kg ms\(^{-1}\)

C.

50 kg ms\(^{-1}\)

D.

35 kg ms\(^{-1}\)

Correct answer is A

Change in momentum 

= F x t = 35N x 2 

= 70kg ms\(^{-1}\) 

178.

Which of these inequalities is represented by the shaded portion of the graph? 

A.

2y + x - 3 < 0

B.

2y - x - 3 < 0

C.

2y - x + 3 < 0

D.

2y + x +3 < 0

Correct answer is B

(0, 1.5), (-3, 0) 

m = \(\frac{0 - 1.5}{-3, 0}\) = 0.5

0.5 = \(\frac{y - 1.5}{-3.0}\) = 0.5

y = 0.5x + 1.5 

2y = x + 3

2y - x - 3 < 0

179.

Find the constant term in the binomial expansion of (2x\(^2\) +  \(\frac{1}{x^2}\))\(^4\)

A.

10

B.

12

C.

24

D.

42

Correct answer is B

6(2x\(^2\))\(^2\) (\(\frac{1}{x^2}\))\(^2\)  

= 6 x 2

= 12

180.

A particle starts from rest and moves in a straight line such that its velocity, V ms\(^{-1}\), at time t second is given by V = 3t\(^2\) - 6t. Calculate the acceleration in the 3rd second. 

A.

0 ms\(^{-2}\)

B.

3 ms\(^{-2}\)

C.

6 ms\(^{-2}\)

D.

9 ms\(^{-2}\)

Correct answer is C

V = 3t\(^2\) - 6t

\(\frac{dx}{dt}\) = 6r - 6

at t = 4

\(\frac{dx}{dt}\) = 6 x 4 - 6 = 24 - 6

= 18

at t = 3

\(\frac{dy}{dt}\) = 6 x 4 - 6 

= 24 - 6

= 18 

at t = 3

\(\frac{dx}{dt}\) = 6 x 3 - 6 = 18 - 6

= 12

\(\frac{dy}{dt}\) = 18 - 12 

= 6ms\(^{-2}\)