Master the World of Numbers: Enhance Your Mathematical Skills

Question 1

Put these numbers in order from least to greatest: -3, 0, 2, 5, -1

Accepted Answer

-3, -1, 0, 2, 5

Answer

5, 2, 0, -1, -3

Answer

0, 2, 5, -1, -3

Answer

-1, -3, 0, 2, 5

Question 2

Calculate the result of this expression: 3 plus 4 multiplied by 5, minus 6

Accepted Answer

17

Answer

7

Answer

23

Question 3

Which property is NOT shared by all real numbers?

Accepted Answer

Distributivity of multiplication over addition

Answer

Closure under addition and multiplication

Answer

Commutativity under addition and multiplication

Answer

Associativity under addition and multiplication

Question 4

Examine the sequence: 1, 4, 9, 16, 25, ...

Determine the pattern and express the rule for finding the nth term of this sequence. Explain your reasoning clearly.

Accepted Answer

n²

Answer

n + 3

Answer

2n - 1

Answer

n³

Question 5

Simplify: -2 + 5 - (-3)

Accepted Answer

6

Answer

2

Answer

8

Answer

10

Question 6

Solve the linear equation: 2x + 5 = 11

Accepted Answer

x = 3

Answer

x = 2

Answer

x = 4

Answer

x = 5

Question 7

Calculate the least common multiple (LCM) of 12 and 18.

Accepted Answer

72

Answer

6

Answer

12

Answer

36

Question 8

Convert the decimal 0.45 to a fraction in its simplest form.

Accepted Answer

9/20

Answer

45/100

Answer

18/50

Answer

15/40

Question 9

Solve for x in the equation: 3x - 5 = 10.

Accepted Answer

5

Answer

15

Answer

-5

Answer

50

Question 10

Simplify the algebraic expression: 2x + 3y - x + 2y

Accepted Answer

x + 5y

Answer

x + y

Answer

2x + 5y

Answer

3x + 5y

Question 11

Solve the equation: 3(x - 2) = 15

Accepted Answer

x = 7

Answer

x = 3

Answer

x = 5

Answer

x = 9

Question 12

Which of the following is equivalent to the fraction 3/4?

Accepted Answer

0.75

Answer

0.85

Answer

1.25

Answer

1.75

Question 13

Which of the following is a rational number?

Accepted Answer

1/3

Answer

√2

Answer

π

Answer

e

Question 14

Which property does NOT apply to integers?

Accepted Answer

They contain a decimal point.

Answer

They are whole numbers.

Answer

Their values can be positive or negative.

Answer

They can be located on a number line.

Question 15

Find the greatest common factor (GCF) of 12 and 18.

Accepted Answer

6

Answer

2

Answer

3

Answer

12

Question 16

What is the least common multiple (LCM) of 6 and 12?

Accepted Answer

12

Answer

2

Answer

3

Answer

6

Question 17

Which of the following is NOT an integer?

Accepted Answer

1.5

Answer

0

Answer

1

Answer

-5

Question 18

Calculate: 0.5 + 0.75

Accepted Answer

1.25

Answer

1.0

Answer

1.5

Answer

2.0

Question 19

Which fraction is equivalent to 0.75?

Accepted Answer

3/4

Answer

1/2

Answer

1/3

Answer

4/5

Question 20

Which of the following is a rational number?

Accepted Answer

0.333...

Answer

√2

Answer

π

Answer

e

Question 21

Find the decimal equivalent of the fraction: 3/8

Accepted Answer

0.375

Answer

0.4375

Answer

0.735

Answer

0.8375

Question 22

Which of the following is equal to 2^3?

Accepted Answer

8

Answer

6

Answer

10

Answer

12

Question 23

Which of the following is not a property of integers?

Accepted Answer

They can be expressed as terminating decimals

Answer

They are whole numbers

Answer

They can be negative or positive

Answer

They are closed under multiplication

Question 24

Find the least common multiple (LCM) of 4 and 6

Accepted Answer

12

Answer

2

Answer

4

Answer

24

Question 25

Solve the inequality: x + 3 > 7

Accepted Answer

x > 4

Answer

x < 4

Answer

x > -4

Answer

x < -4

Question 26

Find the highest common factor (HCF) of 12 and 18.

Accepted Answer

6

Answer

1

Answer

3

Answer

9

Question 27

Work out the value of (3/4) + (1/2).

Accepted Answer

1

Answer

1/4

Answer

1/2

Answer

3/4

Question 28

Which of the following is a prime number?

Accepted Answer

11

Answer

6

Answer

15

Answer

21

Question 29

Change the fraction 2/3 into a decimal.

Accepted Answer

0.66

Answer

0.5

Answer

0.6

Answer

0.75

Question 30

Which of these options is a rational number?

Accepted Answer

1/3

Answer

√2

Answer

π

Answer

e

Question 31

Which of the following is a prime number?

Accepted Answer

13

Answer

6

Answer

9

Answer

15

Question 32

Which of these is equivalent to 0.75?

Accepted Answer

3/4

Answer

1/2

Answer

1/4

Answer

1/8

Question 33

Which operation has the highest precedence?

Accepted Answer

Parentheses

Answer

Subtraction

Answer

Addition

Answer

Division, Multiplication

Question 34

Which of the following is a rational number?

Accepted Answer

0.5

Answer

e

Answer

π

Answer

√2

Question 35

The sum of two numbers is 20. If one number is x, what is the other number?

Accepted Answer

20 - x

Answer

x + 20

Answer

x - 20

Answer

20/x

Question 36

Determine the sum of 1/2 and 1/4.

Accepted Answer

3/4

Answer

1/8

Answer

1/6

Answer

5/4

Question 37

Calculate the product of 3 and -4.

Accepted Answer

-12

Answer

12

Answer

-7

Answer

7

Question 38

Identify which of the following numbers is a factor of 12.

Accepted Answer

3

Answer

7

Answer

11

Answer

5

Question 39

Select the smallest positive integer among the given options.

Accepted Answer

1

Answer

-1

Answer

2

Answer

0

Question 40

What is the product of 3.4 and 0.08?

Accepted Answer

0.272

Answer

2.72

Answer

27.2

Answer

0.0272

Question 41

Which number is a factor of 24?

Accepted Answer

6

Answer

9

Answer

5

Answer

11

Question 42

What is the highest common factor (HCF) of 18 and 24?

Accepted Answer

6

Answer

12

Answer

4

Answer

2

Question 43

Simplify the fraction 15/25 to its lowest terms.

Accepted Answer

3/5

Answer

1/5

Answer

5/15

Answer

5/3

Question 44

What is the reciprocal of -2/3?

Accepted Answer

-3/2

Answer

-3/-2

Answer

3/2

Answer

2/3

Question 45

Which of these numbers is the largest?

Accepted Answer

0.85

Answer

0.58

Answer

8/10

Answer

75%

Question 46

What is the mean (average) of the numbers 5, 8, 12, and 10?

Accepted Answer

8.75

Answer

10

Answer

7.5

Answer

9

Question 47

Convert 0.375 to a fraction in its simplest form.

Accepted Answer

3/8

Answer

375/1000

Answer

37.5/100

Question 48

Calculate the highest common factor (HCF) of 24 and 36.

Accepted Answer

12

Answer

24

Answer

6

Answer

36

Question 49

Find the area of a rectangle with a length of 6 cm and a width of 4 cm.

Accepted Answer

24 cm

Answer

12 cm

Answer

10 cm

Answer

24 cm²

Question 50

If a cake recipe requires 3/4 cup of flour and you want to double the recipe, how much flour do you need?

Accepted Answer

1 1/2 cups

Answer

1/2 cup

Answer

1 cup

Question 51

What is the value of √81?

Accepted Answer

9

Answer

-9

Answer

81

Answer

18

Question 52

Express 2.5 × 10⁻² in standard form.

Accepted Answer

0.025

Answer

2500

Answer

0.25

Answer

250

Question 53

A store offers a 15% discount on a £60 item. Calculate the sale price.

Accepted Answer

£51

Answer

£45

Answer

£15

Question 54

Which of the following is a rational number? (A rational number can be expressed as a fraction of two integers.)

Accepted Answer

0.75

Answer

π (pi)

Answer

√7 (square root of 7)

Answer

√2 (square root of 2)

Question 55

Simplify the expression: 3(2x - 5) + 4x

Accepted Answer

10x - 15

Answer

6x - 15

Answer

7x - 5

Question 56

Evaluate 2³ (2 raised to the power of 3).

Accepted Answer

8

Answer

9

Answer

6

Answer

16

Question 57

A recipe requires 2/3 cup of flour. If you want to make half the recipe, how much flour do you need?

Accepted Answer

1/3 cup

Answer

1 cup

Answer

1/6 cup

Answer

4/3 cup

Question 58

What is the result of (-5) + (+3) - (-2)?

Accepted Answer

0

Answer

-10

Answer

4

Answer

-4

Question 59

Which of the following numbers is divisible by both 3 and 4?

Accepted Answer

24

Answer

18

Answer

32

Answer

48

Question 60

Express 0.25 as a fraction in its simplest form.

Accepted Answer

1/4

Answer

2/5

Answer

25/100

Answer

1/2

Question 61

A car travels 120 miles in 2 hours. What is its average speed in miles per hour (mph)?

Accepted Answer

60 mph

Answer

240 mph

Answer

120 mph

Answer

30 mph

Question 62

Find the least common multiple (LCM) of 6 and 8.

Accepted Answer

24

Answer

12

Answer

48

Answer

16