Numbers and Operations: Master the Basics of Math

Question 1

Which number is not a factor of 36?

Accepted Answer

5

Answer

2

Answer

3

Answer

6

Question 2

What is the sum of 123 and 456?

Accepted Answer

579

Answer

333

Answer

479

Answer

569

Question 3

Which property of number systems guarantees that the result of any operation on two numbers in the system will also be a number in the same system?

Accepted Answer

Closure

Answer

Associativity

Answer

Commutativity

Answer

Transitivity

Question 4

Write the number seven hundred thirty-five in expanded form.

Accepted Answer

700 + 30 + 5

Answer

700 + 35

Answer

73 + 5

Answer

7 + 35

Question 5

To simplify math expressions, we use the order of operations. Which of these is the correct order?

Accepted Answer

Parentheses, Exponents, Multiply, Divide, Add, Subtract

Answer

Parentheses, Multiply, Divide, Add, Subtract, Exponents

Answer

Exponents, Parentheses, Multiply, Divide, Add, Subtract

Answer

Add, Subtract, Multiply, Divide, Parentheses, Exponents

Question 6

A store sells apples for $0.50 each and oranges for $0.75 each. How much will it cost to buy 3 apples and 2 oranges?

Accepted Answer

$2.25

Answer

$1.50

Answer

$1.75

Answer

$2.50

Question 7

In math, when using the order of operations to simplify expressions, what do you do first?

Accepted Answer

Use parentheses

Answer

Calculate exponents

Answer

Multiply

Answer

Add

Question 8

Which operation is NOT one of the four basic arithmetic operations?

Accepted Answer

Exponentiation

Answer

Addition

Answer

Subtraction

Answer

Multiplication

Question 9

In math, which operations do we do first? This order is called the order of operations.

Accepted Answer

Parentheses, Exponents, Multiply and Divide (left to right), Add and Subtract (left to right)

Answer

Exponents, Parentheses, Multiply and Divide (right to left), Add and Subtract (right to left)

Answer

Multiply and Divide (left to right), Exponents, Parentheses, Add and Subtract (left to right)

Answer

Add and Subtract (left to right), Multiply and Divide (left to right), Exponents, Parentheses

Question 10

Which of the following is NOT a characteristic of the number system used in the United States?

Accepted Answer

It uses Roman numerals.

Answer

It is a base-10 system.

Answer

It uses a decimal point to separate whole numbers from fractions.

Answer

It uses negative numbers to represent amounts less than zero.

Question 11

Which number is the greatest: 123, 321, 213, or 132?

Accepted Answer

321

Answer

123

Answer

213

Answer

132

Question 12

Which number has the expanded form of 7 hundreds, 5 tens, and 3 ones?

Accepted Answer

753

Answer

357

Answer

537

Answer

573

Question 13

Which number is written correctly in scientific notation?

Accepted Answer

1.23456 x 10^5

Answer

123,456

Answer

12.3456%

Answer

1/2

Question 14

Express the number 1230 in scientific notation.

Accepted Answer

12.3 × 10^1

Answer

1.23 × 10^2

Answer

123 × 10^-2

Answer

0.123 × 10^4

Question 15

Which number is the greatest?

Accepted Answer

21

Answer

12

Answer

10

Answer

15

Question 16

Round 456.789 to the nearest hundredth.

Accepted Answer

456.80

Answer

456.78

Answer

456.8

Answer

456.79

Question 17

When multiplying numbers using the Hindu-Arabic numeral system, what's the first step?

Accepted Answer

Line up the numbers vertically, with digits of the same place value directly above each other.

Answer

Multiply the digits from left to right.

Answer

Add the digits in each vertical column.

Question 18

When converting a decimal number to a fraction, what should be the denominator of the fraction?

Accepted Answer

The denominator should be 1 followed by as many zeros as there are decimal places in the decimal.

Answer

The denominator should be the same as the decimal number.

Answer

The denominator should be 100.

Question 19

Which of these numbers is not a perfect square?

Accepted Answer

30

Answer

16

Answer

25

Answer

64

Question 20

Which of these is NOT considered a basic arithmetic operation?

Accepted Answer

Exponentiation

Answer

Addition

Answer

Subtraction

Answer

Multiplication

Question 21

Convert 12.5% to its decimal equivalent.

Accepted Answer

0.125

Answer

0.0125

Answer

125

Question 22

In the expression 2 ^ (3 + 2) - 4, which operation should be performed first?

Accepted Answer

Evaluate the expression inside parentheses (3 + 2)

Answer

Calculate 2 ^ 5

Answer

Subtract 4 from the final result

Question 23

Which of these is NOT a number system that uses digits to represent numbers?

Accepted Answer

Roman Numerals

Answer

Decimal

Answer

Binary

Answer

Hexadecimal

Question 24

What is the best definition of number sense?

Accepted Answer

The ability to understand how big or small numbers are

Answer

The ability to do math problems quickly and correctly

Answer

The ability to use math formulas to solve problems

Question 25

Which of these is NOT one of the four basic operations in mathematics?

Accepted Answer

Exponentiation

Answer

Addition

Answer

Subtraction

Answer

Multiplication

Question 26

To round 345 to the nearest ten, which number should you choose?

Accepted Answer

350

Answer

340

Question 27

In the expression 12 + 15 - 8 ÷ 2, which operation should be done first based on the order of operations?

Accepted Answer

Division

Answer

Addition

Answer

Subtraction

Answer

Multiplication

Question 28

To solve the equation 3n + 5 = 20, what is the value of "n"?

Accepted Answer

15/3

Answer

5

Answer

25

Question 29

In the number 5,280, what value does the digit 5 represent due to its place value?

Accepted Answer

5,000

Answer

520

Answer

5

Answer

50

Question 30

Which of the following is the standard way to write the number fifteen thousand six hundred seventy-two in the United States?

Accepted Answer

15,672

Answer

156,72

Answer

1,567.2

Answer

15 thousand, 6 hundred, 72

Question 31

Which of the following operations can be used to find the number of rows in a rectangular array with 12 elements and 4 columns?

Accepted Answer

Division

Answer

Addition

Answer

Subtraction

Answer

Multiplication

Question 32

Which of the following is not a real number system?

Accepted Answer

Imaginary

Answer

Decimal

Answer

Binary

Answer

Hexadecimal

Question 33

What is the purpose of the order of operations?

Accepted Answer

To provide rules for evaluating math expressions

Answer

To simplify fractions

Answer

To find the greatest common factor

Question 34

Which of the following is NOT a type of number system?

Accepted Answer

Boolean

Answer

Binary

Answer

Decimal

Answer

Octal

Question 35

Which number is the greatest: 123, 321, 213, or 132?

Accepted Answer

321

Answer

123

Answer

213

Answer

132

Question 36

In the expression 10 + 5 * 2, which mathematical operation should be performed first?

Accepted Answer

Multiplication (5 * 2)

Answer

Addition (10 + 5)

Question 37

Which of the following is equal to the fraction 1/2?

Accepted Answer

0.5

Answer

0.25

Answer

0.75

Answer

1

Question 38

In the number 345, what is the place value of the digit 4?

Accepted Answer

40

Answer

4

Answer

400

Question 39

What is the correct way to write 1,000,000 in scientific notation?

Accepted Answer

1 x 10^6

Answer

10 x 10^5

Answer

100 x 10^4

Answer

1000 x 10^3

Question 40

Round the number 345 to the nearest hundred.

Accepted Answer

400

Answer

300

Answer

500

Answer

600

Question 41

A farmer has 125 sheep. He sells 35 sheep at the market. How many sheep are remaining?

Accepted Answer

80

Answer

90

Answer

100

Answer

110

Question 42

A restaurant has 8 tables. Each table can seat 5 people. How many people can the restaurant seat at one time?

Accepted Answer

40

Answer

30

Answer

50

Answer

60

Question 43

How do factors and multiples of a number relate to each other?

Accepted Answer

Factors are numbers that divide a number evenly, while multiples are numbers that are divisible by a number without leaving a remainder.

Answer

Factors are numbers that are greater than a number, while multiples are numbers that are less than a number.

Answer

Factors and multiples are unrelated concepts in number theory.

Answer

Multiples are factors of a number, but factors are not multiples of a number.

Question 44

How can you tell if two ratios are equal?

Accepted Answer

Multiply the top number of one ratio by the bottom number of the other ratio, and vice versa.

Answer

Compare the top numbers (numerators).

Answer

Compare the bottom numbers (denominators).

Answer

Find the average of the two ratios.

Question 45

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

Accepted Answer

LCM: 36, GCF: 6

Answer

LCM: 6, GCF: 36

Answer

LCM: 6, GCF: 6

Answer

LCM: 36, GCF: 36

Question 46

Which of the following is NOT a feature of the International System of Units (SI)?

Accepted Answer

It is a system of arbitrary units.

Answer

It is a decimal system.

Answer

It is based on the metric system.

Answer

It uses the kilogram as the base unit of mass.

Question 47

Round the number 234.5 to the nearest whole number.

Accepted Answer

235

Answer

234

Answer

244

Answer

245

Question 48

Estimate the sum of 345 and 234 without actually performing the calculation.

Accepted Answer

600

Answer

500

Answer

700

Answer

800

Question 49

Which operation should be performed first in the expression: (345 + 234) x 5?

Accepted Answer

Addition

Answer

Subtraction

Answer

Multiplication

Answer

Division

Question 50

Which property allows you to change the order of numbers in an operation without changing the result?

Accepted Answer

Commutative

Answer

Associative

Answer

Distributive

Answer

Inverse

Question 51

Round the number 37 to the nearest ten.

Accepted Answer

40

Answer

30

Answer

50

Answer

20

Question 52

Calculate the value of 12 raised to the power of 2.

Accepted Answer

144

Answer

24

Answer

122

Answer

48

Question 53

Round 78.34 to the nearest whole number.

Accepted Answer

78

Answer

80

Answer

78.4

Answer

79

Question 54

A recipe calls for 3 cups of flour. You want to make half the recipe. How much flour do you need?

Accepted Answer

1.5 cups

Answer

2 cups

Answer

6 cups

Answer

0.5 cups

Question 55

What is the difference between 543 and 287?

Accepted Answer

256

Answer

246

Answer

830

Answer

264

Question 56

You have 4 apples and your friend gives you 3 more. How many apples do you have now?

Accepted Answer

7

Answer

4

Answer

6

Answer

1

Question 57

Which number is greater: 1,200 or 1,202?

Accepted Answer

1,202

Answer

They are equal

Answer

1,200

Answer

Cannot be determined

Question 58

A store has 12 boxes of oranges, each containing 18 oranges. How many oranges are there in total?

Accepted Answer

216

Answer

144

Answer

206

Answer

196

Question 59

Round the number 4,567 to the nearest hundred.

Accepted Answer

4,600

Answer

4,500

Answer

5,000

Answer

4,570

Question 60

Which of the following numbers is a prime number?

Accepted Answer

17

Answer

24

Answer

36

Answer

12

Question 61

What is the least common multiple (LCM) of 4 and 6?

Accepted Answer

12

Answer

24

Answer

6

Answer

2

Question 62

A store is having a sale on shoes. All shoes are 20% off. If a pair of shoes originally costs $50, how much will you save?

Accepted Answer

$10

Answer

$20

Answer

$40

Answer

$30

Question 63

A cookie recipe calls for 2 1/2 cups of flour. You want to make half the recipe. How much flour do you need?

Accepted Answer

1 1/4 cups

Answer

1 cup

Answer

5 cups

Answer

2 cups

Question 64

What is the place value of the digit '7' in the number 3,752?

Accepted Answer

hundreds

Answer

tens

Answer

thousands

Answer

ones