JAMB Mathematics Past Questions & Answers - Page 87

431.

An arc of the length 16\(\pi\)cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle.

A.

24cm

B.

28cm

C.

36cm

D.

32cm

Correct answer is C

L = \(\frac{\theta}{360}\) x 2\(\pi\)r
16\(\pi\) = \(\frac{80}{360}\) x 2\(\pi\)r

\(\frac{16\pi \times 360}{80 \times 2\pi}\) = r

r = 36cm

432.

Evaluate \(\int\limits_0^\frac{\pi}{2}\) sin xdx

A.

2

B.

-1

C.

1

D.

-2

Correct answer is C

\(\int\limits_0^\frac{\pi}{2}\) sin xdx = -cosx|\(\frac{\pi}{2}\)

= -(cos\(\frac{\pi}{2}\) - cos0) = -(0-1) = 1

433.

An arc subtends an angle of 30<sup>o</sup> at the centre of a circle radius 12cm. Calculate the length of the arc.

A.

6\(\pi\)cm

B.

2\(\pi\)cm

C.

3\(\pi\)cm

D.

9\(\pi\)cm

Correct answer is B

Length or arc = \(\frac{\theta}{360}\) x 2\(\pi\)r

= \(\frac{30}{360}\) x 2 x \(\frac{22}{7}\) x 12

= \(\frac{1}{12}\) x 2 x \(\pi\) x 2 = 2\(\pi\)cm

434.

Evaluate \(\frac{0.8 \times 0.43 \times 0.031}{0.05 \times 0.72 \times 0.021}\). Correct to four significant figures.

A.

14.09

B.

14.1

C.

14.12

D.

14.11

Correct answer is D

\(\frac{0.8 \times 0.43 \times 0.031}{0.05 \times 0.72 \times 0.021}\) x \(\frac{10}{10}\) = 14.11

435.

Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\)

A.

3x2 - \(\frac{4}{x}\)

B.

2x2 +\(\frac{4}{x^2}\)

C.

3x2 + \(\frac{4}{x^2}\)

D.

2x2 - \(\frac{4}{x}\)

Correct answer is B

No explanation has been provided for this answer.