Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

866.

Evaluate \(\frac{12.02 \times 20.06}{26.04 \times 60.06}\), correct to three significant figures.

A.

0.157

B.

0.154

C.

0.155

D.

0.158

Correct answer is B

\(\frac{12.02 \times 20.06}{26.04 \times 60.06}\) = \(\frac{241.1212}{15698.96}\) = 0.154

867.

The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is

A.

2

B.

t

C.

-t

D.

-2

Correct answer is A

Mean = \(\frac{2 - t + 4 + t + 3 - 2t + 2 + t + t - 1}{5}\)

= \(\frac{10}{5}\) = 2

868.

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

869.

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

870.

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