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.

3,476.

If log x = \(\bar{2}.3675\) and log y = 0.9750, what is the value of x + y? Correct to three significant figures

A.

1.18

B.

1.31

C.

9.03

D.

9.44

E.

9.46

Correct answer is E

log x = \(\bar{2}.3675\) ; log y = 0.9750

\(x = 10^{\bar{2}.3675} = 0.02331 \)

\(y = 10^{0.9750} = 9.441 \)

\(x + y = 9.4641 \approxeq 9.46\)

3,477.

Evaluate using the logarithm table, log(0.65)2

A.

1.6258

B.

0.6272

C.

0.6258

D.

3.6258

E.

1.6272

Correct answer is D

log(0.65)2 = 2log(0.65) but log0.65 = 1.8129
∴2 x 1.8129 = 3.6258

3,478.

Simplify \(\frac{\log \sqrt{8}}{\log 8}\)

A.

1/3

B.

1/2

C.

1/3log√2

D.

1/3log√8

E.

1/2log√2

Correct answer is B

\(\frac{\log \sqrt{8}}{\log 8}\)

= \(\frac{\log 8^{\frac{1}{2}}}{log 8}\)

= \(\frac{\frac{1}{2} \log 8}{\log 8}\)

= \(\frac{1}{2}\) 

3,479.

Given that 1/3log10 P = 1, find the value of P

A.

1/10

B.

3

C.

10

D.

100

E.

1000

Correct answer is E

1/3log10P = 1
log10P1/3 = log1010
P1/3 = 10 P = 1000

3,480.

Express 0.00562 in standard form

A.

5.62 x 10-3

B.

5.62 x 10-2

C.

562 x 10-2

D.

5.62 x 102

E.

5.62 x 103

Correct answer is A

0.00562 = 5.62 x 10\(^{-3}\)