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WAEC Further Mathematics Past Questions & Answers - Page 49

241.

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

242.

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.

243.

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

244.

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

245.

Given that R = (4, 180°) and S = (3, 300°), find the dot product

A.

-6\sqrt{3}

B.

-6

C.

6

D.

6\sqrt{3}

Correct answer is B

No explanation has been provided for this answer.