Numbers and Quantity: Master the Basics of Numbers and Measurement

Question 1

When converting units, which mathematical operation ensures that the measurement's numerical value remains the same?

Accepted Answer

Multiply by the conversion factor

Answer

Divide by the conversion factor

Answer

Add the conversion factor

Answer

Subtract the conversion factor

Question 2

In the expression 3.2 × 10^-5, what is the value of the exponent?

Accepted Answer

-5

Answer

5

Answer

3.2

Answer

-3.2

Question 3

Which number from the list below is NOT a whole number?

Accepted Answer

1/2

Accepted Answer

5.25

Answer

0

Answer

-5

Question 4

Which property is NOT applicable to real numbers?

Accepted Answer

Existence of a multiplicative inverse

Answer

Commutative property of addition

Answer

Associative property of multiplication

Answer

Closure property under addition

Question 5

Which property is NOT applicable to all real numbers?

Accepted Answer

Associative property of division

Answer

Commutative property of addition

Answer

Distributive property of multiplication over addition

Answer

Closure under multiplication

Question 6

Find the volume of a rectangular prism with a base area of 12 square centimeters and a height of 5 centimeters.

Accepted Answer

60 cubic centimeters

Answer

30 cubic centimeters

Answer

72 cubic centimeters

Answer

15 cubic centimeters

Question 7

Which statement accurately describes the set of numbers: {2, 4, 6, 8, 10}?

Accepted Answer

All numbers are divisible by 2.

Answer

All numbers are odd.

Answer

All numbers are prime.

Answer

All numbers are greater than 5.

Question 8

Which property is exclusive to real numbers, unlike other number systems?

Accepted Answer

Order completeness

Answer

Commutative property of addition

Answer

Associative property of multiplication

Answer

Existence of multiplicative inverses

Question 9

If a store sells apples for $0.25 each and oranges for $0.50 each, which of the following represents the total cost of buying 3 apples and 2 oranges?

Accepted Answer

$1.25

Answer

$1.00

Answer

$1.50

Answer

$0.75

Question 10

In the expression 3 + (4 × 5) - 2, which operation should be done first?

Accepted Answer

Multiply 4 and 5

Answer

Add 3 and 2

Answer

Subtract 2

Question 11

Which of these numbers is rational?

Accepted Answer

-3/4

Answer

√2

Answer

π

Question 12

Simplify the expression: (5^3 / 5^2) * 5^3

Accepted Answer

5^6

Answer

5^4

Answer

5^7

Question 13

When solving a math problem that includes both multiplication and addition, which operation should you do first?

Accepted Answer

Multiply

Answer

Add

Answer

Do both at the same time

Answer

It doesn't matter

Question 14

Reduce the fraction 24/60 to its simplest form.

Accepted Answer

2/5

Answer

4/10

Answer

6/15

Answer

1/3

Question 15

In the expression (2 + 3) * 4 - 5, which operation should be done first based on the order of operations?

Accepted Answer

Parentheses

Answer

Multiplication

Answer

Subtraction

Question 16

Convert the number 0.000000072 to scientific notation.

Accepted Answer

7.2 x 10^-7

Answer

7.2 x 10^7

Answer

7.2 x 10^-8

Answer

7.2 x 10^8

Question 17

In the expression `2 + 3 × 4 - 5`, which operation should be performed first based on the order of operations?

Accepted Answer

Multiplication

Answer

Addition

Answer

Subtraction

Question 18

What is the smallest prime number?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 19

Which of these operations is not applicable to numbers?

Accepted Answer

Combining as text

Answer

Multiplying

Answer

Raising to a power

Answer

Subtracting

Question 20

Which of the following is NOT a fundamental characteristic of the number system used in mathematics?

Accepted Answer

Finiteness

Answer

Cardinality

Answer

Order

Answer

Completeness

Question 21

How do you multiply a decimal by 100?

Accepted Answer

Move the decimal point two places to the right

Answer

Multiply by 10

Answer

Divide by 10

Question 22

Find the area of a circle with a radius of 10 centimeters.

Accepted Answer

100π cm²

Answer

10π cm²

Answer

2π cm²

Answer

π cm²

Question 23

Solve the equation: |2x - 3| equals 5

Accepted Answer

x equals 4 or x equals -1

Answer

x equals 2 or x equals -2

Answer

x equals 5 or x equals -5

Answer

x equals 0 or x equals 3

Question 24

Find the cube of the complex number 2 + 3i, where i represents the imaginary unit.

Accepted Answer

-8 + 24i

Answer

8

Answer

28

Question 25

Identify the option that does not represent a type of number:

Accepted Answer

Irrational

Answer

Natural

Answer

Integer

Answer

Rational

Question 26

Simplify the following expression: 0.25 + 0.75

Accepted Answer

1

Answer

0.5

Answer

1.5

Answer

2

Question 27

Convert the fraction 3/8 into its decimal equivalent:

Accepted Answer

0.375

Answer

0.25

Answer

0.5

Answer

0.75

Question 28

Find an expression equivalent to 2x + 5y:

Accepted Answer

5y + 2x

Answer

5x + 2y

Answer

10xy

Answer

Cannot be simplified

Question 29

Express 0.5 as a fraction in its simplest form.

Accepted Answer

1/2

Answer

2/5

Answer

3/4

Answer

4/5

Question 30

Identify the smallest number among the following:

Accepted Answer

-5

Answer

0

Answer

5

Answer

10

Question 31

Find the absolute value of -7.

Accepted Answer

7

Answer

-7

Answer

0

Answer

14

Question 32

Which fraction is equivalent to 3/6?

Accepted Answer

1/2

Answer

2/3

Answer

3/4

Answer

4/5

Question 33

Convert 2.5 kilometers to meters:

Accepted Answer

2500 m

Answer

25 m

Answer

250 m

Answer

25000 m

Question 34

Which of the following is a composite number?

Accepted Answer

12

Answer

2

Answer

7

Answer

19

Question 35

Which of the following is an irrational number?

Accepted Answer

√5

Answer

0

Answer

1/3

Answer

9

Question 36

Convert 7/10 to a percentage:

Accepted Answer

70%

Answer

7%

Answer

700%

Answer

7000%

Question 37

Express the decimal 0.625 as a fraction in its simplest form.

Accepted Answer

5/8

Answer

1/2

Answer

3/4

Answer

1/16

Question 38

Express 0.5 as an equivalent fraction.

Accepted Answer

1/2

Answer

2/4

Answer

3/6

Answer

4/8

Question 39

Subtract 2/5 from 7/10. Which option represents the correct difference?

Accepted Answer

3/10

Answer

5/10

Answer

4/10

Answer

1/10

Question 40

Convert 24 inches into feet. Which option represents the correct value?

Accepted Answer

2 feet

Answer

1 foot

Answer

3 feet

Answer

4 feet

Question 41

Solve for x in the equation: 3(x - 2) = 12

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 42

Which of the following is equivalent to 3/4?

Accepted Answer

0.75

Answer

1.5

Answer

2.25

Answer

0.25

Question 43

Which of the following is a unit of length?

Accepted Answer

Meter

Answer

Ampere (unit of electric current)

Answer

Gram (unit of mass)

Answer

Second (unit of time)

Question 44

Identify the greatest integer among the given options.

Accepted Answer

10

Answer

-10

Answer

10.5

Answer

0

Question 45

Identify the prime number among the given options.

Accepted Answer

17

Answer

14

Answer

12

Answer

10

Question 46

Which of the following is a natural number (counting number)?

Accepted Answer

10

Answer

1/2

Answer

-5

Answer

0

Question 47

Convert the fraction 5/8 to a decimal number.

Accepted Answer

0.625

Answer

0.5

Answer

0.75

Answer

0.8

Question 48

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

Accepted Answer

24 cm²

Answer

12 cm²

Answer

10 cm²

Answer

36 cm²

Question 49

Which of the following is equivalent to 25%? (One-fourth)

Accepted Answer

0.25

Answer

0.75

Answer

0.5

Answer

0.1

Question 50

Find the value of x in the equation: 3x - 5 = 10

Accepted Answer

5

Answer

15

Answer

10

Answer

-5

Question 51

Which of the following is a rational number?

Accepted Answer

-3/4

Answer

0.101001...

Answer

√2

Answer

π

Question 52

Convert the decimal number 0.75 to a fraction.

Accepted Answer

3/4

Answer

1/2

Answer

2/3

Answer

1/4

Question 53

Calculate the volume of a cube with a side length of 5 cm.

Accepted Answer

125 cm³

Answer

25 cm³

Answer

100 cm³

Answer

50 cm³

Question 54

Which of the following is an irrational number?

Accepted Answer

√2

Answer

-3.14

Answer

0.5

Answer

8

Question 55

Find the least common multiple (LCM) of 6 and 10.

Accepted Answer

30

Answer

20

Answer

15

Answer

12

Question 56

Which of the following is a prime number?

Accepted Answer

17

Answer

20

Answer

9

Answer

15

Question 57

Which of the following numbers is a prime number?

Accepted Answer

17

Answer

36

Answer

12

Answer

24

Question 58

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

Accepted Answer

1/3 cup

Answer

4/3 cup

Answer

1 cup

Answer

1/6 cup

Question 59

What is the result of -5 + 8?

Accepted Answer

3

Answer

-3

Answer

-13

Question 60

A store sells apples for $1.50 per pound. If you buy 3.5 pounds of apples, how much will you pay?

Accepted Answer

$5.25

Answer

$5.00

Answer

$3.50

Answer

$1.50

Question 61

What is the decimal equivalent of 3/4?

Accepted Answer

0.75

Answer

0.50

Answer

0.25

Question 62

The temperature in the morning was 10°C. By afternoon, it had risen by 7°C. What was the afternoon temperature?

Accepted Answer

17°C

Answer

170°C

Answer

107°C

Answer

3°C

Question 63

A train travels 120 miles in 2 hours. What is its average speed in miles per hour?

Accepted Answer

60 miles per hour

Answer

30 miles per hour

Answer

120 miles per hour

Answer

240 miles per hour

Question 64

You are buying a new TV for $450. The sales tax is 7%. How much sales tax will you pay?

Accepted Answer

$31.50

Answer

$457

Answer

$7.00