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.

2,516.

Given that loga2 = 0.693 and loga3 = 1.097, find loga 13.5

A.

1.404

B.

1.790

C.

2.598

D.

2.790

Correct answer is C

loga 13.5 = loga \(\frac{27}{2}\)

= 3loga 3 - log2a

= 3 x 1.097 - 0.693

= 2.598

2,517.

Find the value of (0.006)3 + (0.004)3 in standard form

A.

2.8 x 10-9

B.

2.8 x 10-7

C.

2.8 x 10-8

D.

2.8 x 10-6

Correct answer is B

(0.006)3 + (0.004)3 = 2.16 x 10-7

(2.16 + 0.64) x 10-7

= 2.8 x 10-7

2,518.

Evaluate 64.764\(^2\) - 35.236\(^2\) correct to 3 significant figures

A.

2960

B.

2950

C.

2860

D.

2850

Correct answer is B

(64.764 - 35.236)(64.764 + 35.236)

= 29.528 x 100

= 2950 to 3 sig. fig.

2,519.

If \(1P03{_4} = 115_{10}\) find P

A.

0

B.

1

C.

2

D.

3

Correct answer is D

\(1 x 4^3 + P x 4^2 + 0 x 4 + 3 = 115_{10}\)

16p + 67 = 115 p = \(\frac{48}{16}\)

= 3

2,520.

For what value of x does 6 sin (2x - 25)o attain its maximum value in the range 0o \(\leq\) x \(\leq\) 180o

A.

12\(\frac{1}{2}\)

B.

32\(\frac{1}{2}\)

C.

57\(\frac{1}{2}\)

D.

147\(\frac{1}{2}\)

Correct answer is C

y = 6 sin (2x - 25)o

\(\frac{dy}{dx}\) = -12 cos(2x - 25o)

\(\frac{dy}{dx}\) = 0

-12 cos x (2x - 25o) = 0

= cos(2x - 25o) = 0

= 2x - 25o = cos-1(0)

= 2x - 25o

= 90o

x = \(\frac{115}{2}\)