MCQ Questions

Question No. 1

Write these index expressions as logarithms.

Answer :

a) 2⁴ = 16

b) 3³ = 27

c) 5³ = 125

d) 6² = 36

e) 7³ = 343

f) 4ˣ = 8

g) sᵗ = u

h) 5⁰ = 1

i) 4ˣ = 32

j) 64ˣ = 16

Question No. 2

Write these logarithms in index form.

Question No. 3

Evaluate these logarithms.

Question No. 4

Use the graph of y = 10ˣ (0 ≤ x ≤ 2.2) to find the following values.

Answer :

a) log 1

b) log 25

c) log 40

d) log 80

Question No. 5

Write the powers of 10 to one decimal place for the following.

Answer :

a) 20

b) 40

c) 60

d) 80

Question No. 6

Given: log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990. Use only these values to write these logarithms to four decimal places.

Question No. 7

Write these logarithms in terms of log a, log b and log c.

Question No. 8

Simplify the following expressions.

Answer :

a) 3 log a + log b + log c

b) log a − log b + log c

c) 2 log a + 2 log b

d) ½ log a + log b

e) 2 log a − 3 log b

Question No. 9

Simplify the following logarithmic expressions.

Answer :

a) log 1000

b) log₃ 9 + log₃ 27

c) log₅ 1000 − log₅ 8

d) log₄ 25 − log₄ 0.125 − log₄ 64

e) log₈ 16 − log₅ 1 + 2 log₃ (1/9) − log₄ (1/4)

Question No. 10

Express the following in standard form.

Answer :

a) 1 000

b) 32 560

c) 456.9

d) 69.98

Question No. 11

State the characteristics of these logarithms.

Answer :

a) 365.8

b) 42.7

c) 6 790

d) 9.03

Question No. 12

State the mantissa of these logarithms.

Answer :

a) 5.86

b) 93.2

c) 790.3

d) 10.12

Question No. 13

Use the log table to find the logarithms of the following numbers.

Answer :

a) 700

b) 70

c) 3 650

d) 36.5

Question No. 14

Use the log table to find the antilogarithms of the following numbers.

Answer :

a) 4

b) 3.86

c) 1.235

d) 0.741

Question No. 15

Use the log table to calculate the following.

Answer :

a) 8.01 × 6

b) 9.23 × 20

c) 36.4 × 12.1

d) 6.2 ÷ 3.8

e) 42.7 × 32

f) 864.2 ÷ 43

g) (61.2)²

h) 32.1 × 5.3 × 6.4

Question No. 16

Evaluate the following, using log tables.

Answer :

a) (76.25 × 45) ÷ 39

b) (195.2 × 1.4) ÷ 47.5

c) (6.904 × 98.5) ÷ 20.05

d) (8.3)² ÷ 53.8

Question No. 17

Educare shares increased in value from ₦75.80 per share to ₦83 per share in 12 months. What was the growth rate of the share? Write the answer correct to one d.p.

Answer :

Question No. 18

Mrs Ndwani invested ₦150 000 in a savings account at the bank. How much interest did she earn after three years at 13% interest, compounded annually? Use the formula A = P(1 + i)ⁿ.

Answer :

Question No. 19

The gross domestic product (GDP) measures the national income and output for a country’s economy. If the GDP of Nigeria is measured at $530 billion and grows at a rate of 3.96% per year, what will be the GDP in one year’s time? Write the answer to the nearest Naira.

Answer :

Question No. 20

During one day, 11 890 600 shares were traded at the NSE (Nigerian Stock Exchange) in Lagos. If the average value of each share was ₦18.95, calculate the total value of the traded shares.

Answer :

Question No. 21

How long will it take an amount of ₦220 000 to increase to ₦358 600 if the money is deposited into an account at the bank paying 13% p.a. compound interest? Round the answer to a whole number.

Answer :

Question No. 22

If the price of petrol is ₦87 a litre and increases by the inflation rate of 8.7% in one year, what will be the new cost of petrol per litre?

Answer :

Question No. 23

Mr Kalu bought 5 700 shares at ₦12.36 per share. Calculate how much money he made on his investment if he sold the shares a year later at ₦13.32 per share.

Answer :

Question No. 24

An investor paid ₦39 600 for 15 000 shares.

Answer :

a) Calculate the price per share.

b) She sold half the shares at a price of ₦3.10 per share. Did she make a profit or loss?

c) Calculate the value of the remaining shares at ₦3.10 per share.

Chapter

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