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.

241.

\(P = {x : 1 \leq x \leq 6}\) and \(Q = {x : 2 < x < 9}\) where \(x \in R\), find \(P \cap Q\).

A.

\({x : 2 \leq x \leq 6}\)

B.

\({x : 2 \leq x < 6}\)

C.

\({x : 2 < x < 6}\)

D.

\({x : 2 < x \leq 6}\)

Correct answer is D

No explanation has been provided for this answer.

242.

Three forces \(F_{1} = (8 N, 300°), F_{2} = (6 N, 090°)\) and \(F_{3} = (4 N, 180°)\) act on a particle. Find the vertical component of the resultant force.

A.

2 N

B.

10 N

C.

\((4 + 4\sqrt{3})N\)

D.

\((6 - 4\sqrt{3})N\)

Correct answer is D

The vertical component = \(8 \sin 300 + 6 \sin 90 + 4 \sin 180\)

= \(-4\sqrt{3} + 6 + 0 \)

= \((6 - 4\sqrt{3}) N\)

243.

A force of 30 N acts at an angle of 60° on a body of mass 6 kg initially at rest on a smooth horizontal plane. Find the distance covered in 10 seconds.

A.

\(125\sqrt{3} m\)

B.

\(125 m\)

C.

\(62.5 m\)

D.

\(25\sqrt{3} m\)

Correct answer is B

No explanation has been provided for this answer.

244.

A group of 5 boys and 4 girls is to be chosen from a class of 8 boys and 6 girls. In how many ways can this be done?

A.

840

B.

480

C.

408

D.

380

Correct answer is A

= \(^{8}C_{5} \times ^{6}C_{4}\)

=\(56 \times 15\)

= 840

245.

Calculate, correct to one decimal place, the standard deviation of the numbers: -1, 5, 0, 2 and 9.

A.

7.2

B.

6.6

C.

3.6

D.

3.2

Correct answer is C

\(x\) -1 5 0 2 9 Total = 15
\(x - \bar {x}\) -4 2 -3 -1 6  
\((x - \bar{x})^{2}\) 16 4 9 1 36 66

Mean = \(\frac{15}{5} = 3\)

SD = \(\sqrt{\frac{\sum (x - \bar {x})^{2}}{n}}\)

= \(\sqrt{\frac{66}{5}} \)

= \(\sqrt{13.2}\)

= 3.6