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WAEC Mathematics Past Questions & Answers - Page 321

1,601.

If log x = ˉ2.3675 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 = ˉ2.3675 ; log y = 0.9750

x=10ˉ2.3675=0.02331

y=100.9750=9.441

x+y=9.4641

1,602.

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

1,603.

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} 

1,604.

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

1,605.

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}