MCQ Questions

Question No. 1

Write each of the following numbers in standard form.

Answer :

a) 504 010

b) 0.061

c) 0.101

d) 0.0014253

e) 0.0000987

f) 100 000 000

g) 0.00020304

h) 12 856.023

i) 0.000000181

Question No. 2

The population of Nigeria is estimated to be 178.5 million. Write this in standard form.

Answer :

Question No. 3

The population of Africa is estimated to be 1.112 billion. Write this in standard form.

Answer :

Question No. 4

What percentage of the population of Africa live in Nigeria?

Answer :

Question No. 5

Simplify each of the following.

Answer :

a) log₃ 27

b) log₂ 64

c) log₁₆ 32

d) log₂₀ + log₅₀₀

e) log₃ 405 − log₃ 5

f) log₅ 25 − log₃ 9

g) log₂₅ 125

h) (log₁₁ 121 + log₁₂ 144) ÷ log₁₃ 169

Question No. 6

Write the following as logarithms with base 10.

Answer :

a) log₃ 24

b) log₂ 54

c) log₃ 405 − log₃ 5

d) log₃ 27 × log₃ 81

e) log₆ 9 + log₆ 4

f) log₄ 64 + log₄ 16

Question No. 7

State the characteristics of the logarithms of the following numbers.

Answer :

a) 1.806

b) 1 542

c) 90 800

d) 67.03

Question No. 8

State the four-digit number that gives the mantissa of the logarithm of each number.

Answer :

a) 1.806

b) 1 542

c) 90 800

d) 67.03

Question No. 9

Use tables to find the logarithms of the following numbers.

Answer :

a) 513.4

b) 69.47

c) 8.93

d) 1.823

Question No. 10

Use tables to find the antilogarithms of each number.

Answer :

a) 3.000

b) 2.386

c) 1.027

d) 0.416

Question No. 11

Use log tables to calculate the following.

Question No. 12

Express these decimals as powers of 10.

Answer :

a) 0.65

b) 0.347

c) 0.801

d) 0.0632

e) 0.0922

f) 0.00879

g) 0.000701

h) 0.000123

Question No. 13

Evaluate.

Answer :

a) 10^1̅.203

b) 10^2̅.651

c) 10^3̅.896

d) 10^4̅.091

e) 10^1̅.654

f) 10^3̅.513

g) 10^2̅.011

h) 10^5̅.753

Question No. 14

Evaluate each of the following.

Answer :

a) 1.97 × 0.875

b) 2 × 0.00855 × 0.03771

c) (0.64 × 1.04) ÷ (1.98 × 0.02)

d) (1.3 × 0.0651 × 0.0423)²

Question No. 15

Solve for x.

Question No. 16

Calculate using logarithmic tables

Answer :

a) log 3.014

b) log 0.04625

c) 0.734 × 1.609

d) 43.61 ÷ 8.293

e) (4.021)³

f) ⁵√((15.23)²)

Question No. 17

Calculate using a scientific calculator

Answer :

a) log 3.014

b) log 0.04625

c) 0.734 × 1.609

d) 43.61 ÷ 8.293

e) (4.021)³

f) ⁵√((15.23)²)

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