Free Printable Numbers and Operations Review

1.

3.14159265 is ...................... number.

a)

Natural

b)

Whole

c)

Rational

d)

Irrational

2.

To which category does the number -3 belong?

a)

Whole # Only

b)

Integer Only

c)

Rational # Only

d)

Integer & Rational

3.

To which category does 1/2 belong?

a)

Integer & Rational

b)

Rational #

c)

Integer Only

d)

Whole # Only

4.

To which category does the number 1.6 belong?

a)

Whole # Only

b)

Integer Only

c)

Rational # Only

d)

Whole # & Integer

5.

Say 'TRUE' or 'FALSE'
Every irrational number is a real number

a)

TRUE

b)

FALSE

6.

Decimal representation of a rational number cannot be_____

a)

Terminating

b)

Non-terminating

c)

Non-terminating and repeating

d)

Non-terminating and non-repeating

7.

a)

b)

c)

d)

8.

a)

b)

c)

d)

9.

The decimal representation of √2 is_____

a)

A finite decimal

b)

1.41421

c)

Non-terminating and non-repeating

d)

Non-terminating and recurring

10.

Check all classifications for the number: 0

a)

Natural Number

b)

Whole Number

c)

Integers

d)

Rational Number

e)

Irrational Number

11.

True or False: All Natural Numbers are Whole Numbers

a)

True

b)

False

12.

True or False: All Integers are Whole Numbers

a)

True

b)

False

13.

True or False: All Integers are Rational

a)

True

b)

False

14.

Say 'TRUE' or 'FALSE'
π is not a rational number

a)

TRUE

b)

FALSE

15.

The number
0.211211121111211111..... is a _____

a)

terminating decimal

b)

non-terminating repeating decimal

c)

non-terminating and non-repeating decimal

d)

none of the above

16.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

17.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

18.

a)

2/3

b)

-2/3

c)

3/5

d)

-3/5

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

10

b)

-10

c)

10i

d)

-10i

23.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

24.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-√1

25.

2 - √-9

a)

2-3i

b)

2+3= 5

c)

2+3i

d)

2 - 3= -1

26.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

27.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

28.

$i=\sqrt[]{-1}$

a)

True

b)

False

29.

Simplify: i³¹

a)

i

b)

-i

c)

1

d)

-1

30.

The answer to a DIVISION problem is called the ______

a)

difference

b)

sum

c)

product

d)

quotient

31.

The answer to a SUBTRACTION problem is called the ______

a)

difference

b)

sum

c)

product

d)

quotient

32.

The answer to a MULTIPLICATION problem is called the ______

a)

difference

b)

sum

c)

product

d)

quotient

33.

Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

34.

10 + 45 ÷ 9 -(14 ÷ 2) =

a)

9

b)

7

c)

53

d)

18

35.

What is the cube root of 27?

a)

9

b)

3

c)

-3

d)

-9

36.

Which number is irrational?

a)

√25

b)

∛8

c)

√30

d)

√16

37.

What type of number is 1/4?

a)

rational number, integer, whole

b)

integer, whole

c)

rational only

d)

integer, whole

38.

Find the sum:
-12 + (-19)

a)

31

b)

7

c)

-7

d)

-31

39.

-3(-4)

What is the Product?

a)

-12

b)

12

c)

-7

40.

When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...

a)

POSITIVE

b)

NEGATIVE

c)

DEPENDS ON WHICH NUMBER IS LARGER.

41.

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

a)

Positive

b)

Negative

c)

Depends on which is bigger.

42.

Bob lost 5 points on page one of his math test and he lost 9 points on page two of his math test. Which equation best describes Bob progress on his math test?

a)

5 + 9 = 14

b)

-5 + (-9) = -4

c)

-5 + (-9) = -14

d)

5 + (-9) = -4

43.

Pick the correct order for Order of Operations

a)

Parentheses, Multiplication, Division, Addition, Exponents, Subtraction

b)

Exponents, Multiplication, Division, Addition, Parentheses, Subtraction

c)

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

44.

|21 + 9| − |4|

a)

30

b)

26

c)

-30

d)

-26

45.

|-11| -|- 8| + |−16|

a)

19

b)

-19

c)

13

d)

-13

46.

a)

-5

b)

7

c)

-7

d)

6

47.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

48.

$^3\sqrt{8}=$

a)

2

b)

-2

c)

±2

d)

None

49.

A REPEATING decimal is what type of number?

a)

Rational

b)

Irrational

50.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

51.

Is $\frac{7}{13}$ rational or irrational?

a)

Rational

b)

Irrational

52.

How do I find a square number?

a)

I subtract numbers.

b)

Adding any 2 numbers together

c)

I multiply any 2 numbers.

d)

I multiply a number times itself.

53.

Simplify: $\sqrt[]{192}$

a)

$8\sqrt[]{5}$

b)

$3\sqrt[]{3}$

c)

$8\sqrt[]{3}$

d)

$4\sqrt[]{2}$

54.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

55.

Which of the following in not a perfect square?

a)

49

b)

81

c)

111

d)

144

56.

Select all the PERFECT CUBES

a)

8

b)

2

c)

125

d)

27

57.

100 is a ____________

a)

Perfect Square

b)

Perfect Cube

c)

Both

d)

Neither

58.

The inverse operation for SQUARING a number is finding the CUBE root?

a)

true

b)

false

59.

Find the square root.

a)

4/5

b)

2/3

c)

-4/5

d)

-2/3

60.

The checkmark symbol that tells us to square root something is called...

a)

the index

b)

the radical sign

c)

the radicand

d)

none

61.

What is the cube root of 1000?

a)

10

b)

100

c)

500

d)

20

62.

True or false:
Addition ALWAYS comes before subtraction.

a)

True

b)

False

63.

7[12 − (6 − 2) ÷ 4]

a)

7

b)

77

c)

14

d)

0

64.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

65.

What does cubed mean?

a)

Multiply the factor times itself two times.

b)

Multiply the factor times two.

c)

Multiply the factor times three.

d)

Multiply the factor times itself three times.

66.

What are the steps to solve the following expression?
50 − 16 ÷ 2

a)

add, multiply

b)

subtract, divide

c)

divide, subtract

d)

subtract, multiply

67.

Simplify.

-6-6-\left(\left(-2+5\right)^2+6\right)

(a)

68.

Simplify.

$-15\div\left(\left(\left(-2\right)^2\right)^2+-5-6\right)$

(a)

69.

Simplify.

$\frac{-1-2}{6-\left(2-5\right)^2}$

(a)

70.

Simplify.

$\frac{12-\left(-5+1\right)-4}{-4-2}$

(a)

Numbers and Operations Review

Total questions: 70

Worksheet time: 2hrs 55mins

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