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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.

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406.

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.

100N

375N

500N

600N

View answer & explanation

Correct answer is A

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

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

407.

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

$5\sqrt{5}N$

$5\sqrt{7}N$

$7\sqrt{5}N$

$7\sqrt{7}N$

View answer & explanation

Correct answer is B

No explanation has been provided for this answer.

408.

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.

10s

View answer & explanation

Correct answer is C

F = ma

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

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

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

$320 = 5t^{2} \implies t^{2} = 64$

$t = 8secs$

409.

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.

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{3}{4}$

View answer & explanation

Correct answer is D

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

= $\frac{3}{4} + \frac{1}{4}$

= 1

410.

Four doctors and two nurses are to sit round a circular table. In how many ways can this be done if the nurses are to sit together?

240

720

View answer & explanation

Correct answer is A

No explanation has been provided for this answer.

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