MCQ Questions

Question No. 1

Simplify, giving your answer in index form.

Answer :

a) x¹² ÷ x⁸

b) v⁷ ÷ v⁶

c) v¹² ÷ v¹⁷

Question No. 2

Simplify.

Answer :

a) 4⁵ + 4⁶

b) 5³ + 5³

c) 4^(x+1) ÷ 4

d) 5^(x+2) ÷ 25

Question No. 3

Write down the value of these numbers.

Answer :

a) 100

b) 170

c) (−20)⁰

d) 1⁵⁰⁰⁰

e) 3⁰⁰⁰⁰

Question No. 4

Round the following numbers to the nearest 1 000.

Answer :

a) 4 802

b) 54 698

c) 11 096

d) 67 456

e) 79 499

f) 99 999

Question No. 5

Round the following numbers to the nearest 10.

Answer :

a) 5 162

b) 50 208

c) 10 198

d) 9 987

e) 8 034

f) 555

Question No. 6

Write each of the following numbers to one decimal place.

Answer :

a) 15.016

b) 2.589

c) 101.08

d) 78.343

e) 65.484

f) 5.555

Question No. 7

Write each of the following numbers to two decimal places.

Answer :

a) 261.063

b) 12.5018

c) 101.01

d) 65.0467

e) 5.3428

f) 15.50505

Question No. 8

Write each of the following numbers to one significant figure.

Answer :

a) 5 698

b) 0.0865

c) 6 894

d) 0.00304

e) 0.994

f) 15.392

Question No. 9

Write each of the following numbers to two significant figures.

Answer :

a) 10 672

b) 6 130

c) 37 210

d) 0.00285

e) 0.0755

f) 31.098

Question No. 10

Write each of the following numbers in expanded form.

Answer :

a) 3.126 × 10²

b) 5.001 × 10⁻²

c) 9.407 × 10⁵

d) 6.78 × 10⁻⁴

e) 4.10302 × 10³

f) 2.424 × 10⁶

g) 798.6 × 10⁻⁵

h) 1.7831 × 10⁷

Question No. 11

Write one trillion in expanded form.

Answer :

Question No. 12

Uhuru peak on Mount Kilimanjaro is 5.895 × 10³ m above sea level. Write this number in expanded form.

Answer :

Question No. 13

Write each of the following numbers in standard form.

Answer :

a) 64 010

b) 0.0081

c) 125 000

d) 2 040 300

e) 0.000256

f) 625 000 000

g) 0.001009

h) 118.024

i) 1 090.807

Question No. 14

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

Answer :

Question No. 15

The surface area of the moon is approximately 37 930 000 km². Write this area in standard form.

Answer :

Question No. 16

Find each of these products, giving the answer in standard form.

Answer :

a) (5 × 10²) × (6 × 10⁴)

b) (2.3 × 10³) × (3.5 × 10⁵)

c) (6.3 × 10⁻²) × (0.2 × 10⁴)

d) (0.8 × 10⁻³) × (2.9 × 10⁵)

e) (18.2 × 10⁻³) × (17.6 × 10⁻⁴)

f) (1.4 × 10³)²

Question No. 17

Find each of these quotients, giving the answer in standard form.

Answer :

a) (6 × 10⁹) ÷ (4 × 10³)

b) (7.434 × 10⁷) ÷ (2.1 × 10⁵)

c) (8.8 × 10⁷) ÷ (0.2 × 10⁴)

d) (8.1 × 10¹⁸) ÷ (0.09 × 10⁹)

e) (6.8 × 10⁻⁴) ÷ (3.4 × 10⁻¹)

f) (9.62 × 10⁹) ÷ (2.6 × 10⁵)

Question No. 18

Evaluate (15.3 × 10³) × (0.6 × 10²) and express your answer:

Answer :

b) in expanded form

a) in standard form

c) correct to two significant figures

Question No. 19

Evaluate 15.198 × 10⁸ ÷ 3.4 × 10⁵ and express your answer:

Answer :

a) in standard form

b) in expanded form

c) correct to two significant figures

Question No. 20

Simplify and give the answer in standard form.

Answer :

a) (7.12 × 10⁴) + (9.04 × 10³)

b) (6.32 × 10⁵) + (0.88 × 10⁴)

c) (9.706 × 10⁻²) − (1.124 × 10⁻³)

d) (5.6214 × 10⁻³) − (4.5040 × 10⁻⁴)

e) (9.8765 × 10⁻³) − (6.5603 × 10⁻⁵)

f) (9.08 × 10⁴) + (8.54 × 10⁵)

Question No. 21

Evaluate (7.12 × 10⁵) + (2.65 × 10³) and express your answer:

Answer :

a) in standard form

b) in expanded form

c) correct to three significant figures

Question No. 22

Evaluate (7.56 × 10⁻²) − (5.6732 × 10⁻⁵) and express your answer:

Answer :

a) in standard form

b) in expanded form

c) correct to two decimal places

d) correct to three significant figures

Question No. 23

One quadrillion is 10¹⁵. Write this number in expanded form.

Answer :

Question No. 24

The distance from the Earth to the Sun is 149 600 000 km. Write this distance in standard form.

Answer :

Question No. 25

The speed of sound is 1 230 km/h. Calculate the speed of sound in m/s. Write the answer correct to the nearest metre.

Answer :

Question No. 26

The speed of light is 3 × 10⁸ km/s. Calculate how many metres light travels in one hour.

Answer :

Question No. 27

The planet Jupiter is 778 000 000 km from the sun. The speed of light is 3 × 10⁸ m/s. Calculate how long it takes for sunlight to reach Jupiter. Write the answer correct to the nearest minute.

Answer :

Question No. 28

There are approximately 2.5 × 10¹³ red blood cells and 3 × 10¹⁰ white blood cells in your body. Calculate the total of all the red and white blood cells and write the answer in standard form.

Answer :

Question No. 29

Write these numbers in index form, with negative indices.

Answer :

a) 1/3¹⁰

b) 1/5⁴

c) 1/1 000

d) 1/64

e) 1/343

Question No. 30

Write these numbers as reciprocals, with positive indices.

Answer :

a) 3⁻⁷

b) 7⁻⁴

c) 11⁻⁴

Question No. 31

Simplify the following fractions, giving your answers in index form with negative indices.

Answer :

a) y⁷/y⁹

b) x⁵v⁷/x⁷v¹²

c) 3x/3²x

d) 5^(x+1)/5^(3x+7)

Question No. 32

Find the value of these numbers.

Answer :

a) 4³⁄₂

b) 8²⁄₃

c) 9³⁄₂

d) 49³⁄₂

e) 8⁵⁄₃

Question No. 33

Simplify these numbers.

Answer :

a) [(⅓)⁻⁶]⁻¹⁄₂

b) [(⅐)⁻¹⁄₃]⁶

c) (⁸⁄₇)⁻¹

Question No. 34

Solve for x in each of the following.

Question No. 35

The Ifedi family invested ₦550 000 at a rate of 9% compound interest p.a. (per annum). What will the value of their investment be after 3 years? Use the formula A = P(1 + i)ⁿ.

Answer :

Question No. 36

A tractor worth ₦4 950 000 depreciates at a rate of 12% p.a. on the reducing balance. What will the value of the tractor be after 10 years? Use the formula A = P(1 − i)ⁿ.

Answer :

Question No. 37

In a rural area, the population was decreasing at a rate of 3% p.a. If the population was 15 000 initially, what would the population be after 8 years? Use the formula A = P(1 − r)ⁿ.

Answer :

Question No. 38

A cholera epidemic broke out in Kaduna. At the end of the first day, 150 people were infected. If the epidemic continued to increase at a rate of 16% per day, how many people were infected after 9 days? Use the formula A = P(1 + r)ⁿ.

Answer :

Question No. 39

Water drips from a tap at a constant rate into a bucket. The level of the water in the bucket is given by the equation w = 2t − 1 cm, where t is time in hours.

Answer :

a) Calculate the level of water after 4 hours.

b) Calculate what the level of water in the bucket was at the start.

c) How long will it take for the level of the water to reach 63 cm?

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