Free Printable Rational/Irrational Numbers and Pythagorean Theorem Unti Review

1.

In which sets do you find the number 2.1?

a)

Whole numbers, integers, and rational numbers

b)

Integers and rational numbers

c)

Whole numbers only

d)

Rational numbers only

2.

Which sets contains all integers?

a)

{1, 13/26, -9, 450}

b)

{35.0, -22, -17/34, 16}

c)

{8, -9, 2/4, 730}

d)

{892, 45/5, 905, -789}

3.

-⅜ is a rational number

a)

True

b)

False

4.

.̅3̅ is a rational number.

a)

True

b)

False

5.

√4 is a rational number

a)

True

b)

False

6.

π is a rational number

a)

True

b)

False

7.

The square root of 5 is a real number

a)

True

b)

False

8.

Irrational numbers are real numbers

a)

True

b)

False

9.

-17.81 is an irrational number

a)

True

b)

False

10.

The square root of 3 is between

a)

2 and 3

b)

0 and 1

c)

1 and 2

11.

Which number sets does the number √32 belong?

a)

Rational
Rational

b)

Rational, Integers

c)

Rational, Integers, Natural

d)

Irrational

12.

How would 0.333333... be classified?

a)

rational and real

b)

integer, rational, real

c)

irrational and real

d)

only irrational

13.

How would 5/9 be classified?

a)

rational and real

b)

whole and integer

c)

irrational and real

d)

only irrational

14.

Find the number that is a natural, whole, integer, rational, and real number .

a)

-4

b)

5.1

c)

0.7

d)

3

15.

-√4

a)

irrational

b)

whole

c)

integer

d)

natural

16.

Zero belongs to all of the following sets:

a)

Rational, Integer, real

b)

Rational, real

c)

Rational, Integer, Whole, real

d)

Rational, Integer, Whole, Natural

17.

-10 is a whole number

a)

True

b)

False

18.

What number set is represented?
1, 2, 3, 4 ......

a)

Natural

b)

Whole

c)

Integers

d)

Rational

19.

What number set is represented?
0, 1, 2, 3......

a)

Whole

b)

Rational

c)

Integers

d)

Natural

20.

The square root of 36 is ...

a)

rational

b)

irrational

c)

I have no idea

d)

Purple

21.

A whole number is which type of number?

a)

Rational

b)

Irrational

22.

A decimal that stops is which type of number? Example: 2.75

a)

Rational

b)

Irrational

23.

If the area of a square is 49, what is the length of each side?

a)

8

b)

15

c)

1/2

d)

7

24.

A perfect square belongs to which number set:

a)

Rational Number

b)

Irrational Number

25.

Irrational vs. Rational: one of the four numbers below does not belong, which one is it?

a)

√2

b)

√121

c)

0.98940294....

d)

√17

26.

Numbers that are not rational are called:

a)

real numbers

b)

integers

c)

irrational

d)

cake

27.

5²

a)

5

b)

10

c)

15

d)

None of these

28.

√49

a)

7

b)

7²

c)

14²

d)

14

29.

8²

a)

16

b)

8

c)

64²

d)

64

30.

√169

a)

13

b)

14

c)

13²

d)

14²

31.

√16

a)

2

b)

8

c)

4

d)

8²

32.

√121

a)

21²

b)

21

c)

11²

d)

11

33.

What is the side length, to the nearest tenth, of a square that has an area of 40 in²? You may use your calculator.

a)

20.0 in

b)

10 in

c)

1600 in

d)

6.3 in

34.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

35.

√41 is between which two whole numbers? (integers)

a)

A. 5 and 6

b)

B. 6 and 7

c)

C. 7 and 8

d)

D. 39 and 41

36.

√213 is between which two whole numbers (integers)?

a)

A. 2 and 3

b)

13 and 14

c)

14 and 15

d)

212 and 214

37.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

38.

If you have 196 chairs and you need to arrange them in an equal amount of row and columns, how many chairs will be in each row?

a)

12

b)

13

c)

14

d)

15

39.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

40.

An non-perfect square is a number whose square root is ___.

a)

Even

b)

irrational

c)

Rational

d)

Odd

41.

Estimate √50 to the nearest integer.

a)

5

b)

10

c)

25

d)

7

42.

Estimate √72 to the nearest integer.

a)

7.2

b)

7

c)

8

d)

9

43.

If I know the area of a square, how do I find the side length?

a)

I square the area.

b)

I divide the area by 2.

c)

I take the square root of the area.

d)

I divide the area by 4.

44.

4²= 16
16 is the

a)

perfect square

b)

square root

45.

6²= 36
Which number is the square root?

a)

2

b)

6

c)

36

46.

(-7)²=

a)

49

b)

-49

47.

√115 is between

a)

9 and 10

b)

10 and 11

c)

11 and 12

48.

130^{1 =}

a)

1

b)

130

c)

0

49.

8³=___

a)

512

b)

398

c)

43

d)

764

50.

3³

a)

89

b)

27

c)

42

d)

100

51.

50³

a)

15,000

b)

125,000

c)

150

d)

1250

52.

10³

a)

30

b)

100

c)

1000

d)

3000

53.

Name the Perfect squares between 250 and 300.

a)

256, 289

b)

252, 279

c)

262, 289

d)

272, 292

54.

The largest perfect square between 4 and 50 is

a)

25

b)

36

c)

49

d)

45

55.

The square of 18 is

a)

324

b)

369

c)

144

d)

342

56.

Square root of 196 is

a)

13

b)

14

c)

16

d)

12

57.

If length of one side of cube is 20cm then volume of cube must be

a)

8000cm³

b)

800cm³

c)

4000cm³

d)

6000cm³

58.

Cube root of 729 is

a)

5

b)

6

c)

11

d)

9

59.

a)

8

b)

9

c)

10

d)

11

60.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

61.

What is the cube root of 8?

a)

4

b)

2

c)

-2

d)

-4

62.

What is the cube root of 64?

a)

2

b)

4

c)

8

d)

16

63.

Solve each equation for x:

a)

12

b)

13

c)

14

d)

15

64.

Solve each equation for x:

a)

4.5

b)

4

c)

16 and -16

d)

16

65.

Solve each equation for x:

a)

9

b)

3

c)

6

d)

12

66.

-√196

a)

14

b)

-14

c)

98

d)

-98

67.

–√25

a)

5

b)

-5

c)

±5

d)

None

68.

Find the square root(s).

a)

-½

b)

-⅗

c)

-⅙

d)

none

69.

Evaluate the expression.

a)

16

b)

13

c)

53

d)

30

70.

The square root symbol is also called what?

a)

Radicand

b)

Radical

c)

Rad

d)

That division looking thingy

71.

a)

1/2

b)

2/3

c)

10/16

d)

9/11

72.

±√9

a)

±3

b)

±9

c)

-4

d)

5

73.

±√100

a)

50

b)

±10

c)

1

d)

-25

74.

What are the two roots of 25?

a)

5 and 10

b)

-5 and -10

c)

5 and -5

d)

100 and 5

75.

What are the two roots of 81?

a)

8 and -8

b)

1 and 8

c)

18 and 10

d)

-9 and 9

76.

True or false? 9² is 18

a)

True

b)

False

77.

The following numbers are displayed below.

√81 and 9

Which value is greater?

a)

neither,they are equivalent

b)

√81

c)

9

d)

can't be determine

78.

What is the length of a side of a square with an area of 25 square feet?

a)

12.5 feet

b)

10 feet

c)

5 feet

d)

6 feet

79.

∛1

a)

1

b)

3

c)

4

d)

2

80.

What kind of number is the cube root of 100.

a)

Rational

b)

irrational

81.

Evaluate 0.7².

a)

1.4

b)

4.9

c)

.49

d)

14

82.

Evaluate (0.6)³.

a)

0.216

b)

21.6

c)

2.16

d)

1.8

83.

Evaluate(√9)²

^{(The square root of nine squared)}

a)

9

b)

81

c)

3

d)

√18

84.

Which expression represents
2∙2∙2

a)

3²

b)

2³

c)

6

d)

±8

85.

Find the length of the missing side. You can use calculator.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

86.

Find the length of the missing side. You can use calculator.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

87.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

88.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. What does the length of the ladder need to be to the nearest foot? You can use calculator.

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

89.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk to the nearest tenth? You can use calculator.

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

90.

Who is this?

a)

Scooby Duh

b)

Shaggy

c)

Scrappy Doo

d)

Scooby Doo

91.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

92.

The legs of a right triangle form what type of angle?

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right

93.

Side a on a right triangle is ALWAYS the longest side.

a)

true

b)

false

94.

What is the side of a right triangle across from the right angle called?

a)

square

b)

arm

c)

leg

d)

hypotenuse

95.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

96.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

97.

You may use your calculator.

a)

The top of the ladder is 8.9 ft from the ground

b)

The top of the ladder is 9.2 ft from the ground

c)

The top of the ladder is 16.5 ft from the ground

d)

The top o the ladder is 14.4 ft from the ground

98.

Find the height of an equilateral triangle whose sides are 12 inches. You may use your calculator. Round to the nearest tenth.

a)

18 in

b)

10.4 in

c)

4.2 in

d)

13.4 in

99.

Find the area of an equilateral triangle, to the nearest square foot, if the measure of each side is 8ft.

a)

68 ft²

b)

14 ft²

c)

28 ft²

d)

56 ft²

100.

What is the length of the side of a cube whose volume is 216 in³?

a)

14.7 in

b)

6 in

c)

7 in

d)

72 in

Rational/Irrational Numbers and Pythagorean Theorem Unti Review

Total questions: 100

Worksheet time: 3hrs 6mins

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