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WAEC Mathematics Past Questions & Answers - Page 284

1,416.

What is the number whose logarithm to base 10 is $\bar{3}.4771$ ?

A.

3.0

B.

0.3

C.

0.03

D.

0.003

E.

0.0003

View answer & explanation

Correct answer is D

No explanation has been provided for this answer.

1,417.

simplify; 2log $_{3}$ 6 + log $_{3}$ 12 - log $_{3}$ 16

A.

2

B.

3

C.

2 - 2log₃2

D.

3 - log₃2

E.

4 - log₃2

View answer & explanation

Correct answer is B

2log $_{3}$ 6 + log $_{3}$ 12 - log $_{3}$ 16

= $\log_3 6^2 + \log_3 12 - \log_3 16$

= $\log_{3} (\frac{36 \times 12}{16})$

= $\log_{3} (27)$

= $\log_{3} 3^3$

= $3 \log_{3} 3$

= 3

1,418.

Simplify: 16 $^{\frac{5}{4}}$ x 2 $^{-3}$ x 3 $^0$

A.

0

B.

2

C.

4

D.

10

E.

20

View answer & explanation

Correct answer is C

16 $^{\frac{5}{4}}$ x 2 $^{-3}$ x 3 $^0$

= $(2^4)^{\frac{5}{4}} \times 2^{-3} \times 1$

= $2^5 \times 2^{-3} \times 1$

= $2^2$

1,419.

Express $\frac{8.75}{0.025}$ in standard form

A.

3.5 x 10^-3

B.

3.5 x 10^-2

C.

3.5 x 10¹

D.

3.5 x 10²

E.

3.5 x 10³

View answer & explanation

Correct answer is D

$\frac{8.75}{0.025}$

= $\frac{8750}{25}$

= $350$

= $3.5 \times 10^2$

1,420.

Which of the following is equal to $\frac{72}{125}$

A.

$\frac{2^3 \times 3^2}{5^3}$

B.

$\frac{2^4 \times 3}{5^3}$

C.

$\frac{2^3 \times 3}{5^3}$

D.

$\frac{2^4 \times 3}{5^5}$

E.

$\frac{2^2 \times 3^2 \times 4^2}{5^2}$

View answer & explanation

Correct answer is A

$\frac{72}{125} = \frac{8 \times 9}{5 \times 5 \times 5}$

= $\frac{2^3 \times 3^2}{5^3}$

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