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.

406.

A particle starts from rest and moves in a straight line such that its velocity, v, at time t seconds is given by \(v = (3t^{2} - 2t) ms^{-1}\). Calculate the distance covered in the first 2 seconds.

A.

2m

B.

4m

C.

6m

D.

8m

Correct answer is B

\(v(t) = (3t^{2} - 2t) ms^{-1}\)

\(s(t) = \int v(t) \mathrm {d} t\)

= \(\int (3t^{2} - 2t) \mathrm {d} t = t^{3} - t^{2}\)

\(s(2) = 2^{3} - 2^{2} = 8 - 4 = 4m\)

407.

A body of mass 25kg changes its speed from 15m/s to 35m/s in 5 seconds by the action of an applied force F. Find the value of F.

A.

100N

B.

375N

C.

500N

D.

600N

Correct answer is A

\(F = ma = m(\frac{v - u}{t})\)

\(F = 25(\frac{35 - 15}{5}) = 25 \times 4 = 100N\)

408.

Two forces 10N and 15N act on an object at an angle of 120° to each other. Find the magnitude of the resultant.

A.

\(5\sqrt{5}N\)

B.

\(5\sqrt{7}N\)

C.

\(7\sqrt{5}N\)

D.

\(7\sqrt{7}N\)

Correct answer is B

No explanation has been provided for this answer.

409.

A force of 200N acting on a body of mass 20kg initially at rest causes it to move a distance of 320m along a straight line for t secs. Find the value of t.

A.

4s

B.

6s

C.

8s

D.

10s

Correct answer is C

F = ma

\(200 = 20a \implies a = 10m/s^{2}\)

\(s = ut + \frac{1}{2}at^{2}\)

\(320 = (0 \times t) + \frac{1}{2} 10t^{2}\)

\(320 = 5t^{2} \implies t^{2} = 64\)

\(t = 8secs\)

410.

A basket contains 3 red and 1 white identical balls. A ball is drawn from the basket at random. Calculate the probability that it is either white or red.

A.

\(\frac{1}{3}\)

B.

\(\frac{1}{2}\)

C.

\(\frac{3}{4}\)

D.

1

Correct answer is D

P(white or red) = P(white) + P(red)

= \(\frac{3}{4} + \frac{1}{4}\)

= 1