Free Printable Square Roots, Cube Roots, Pythagorean Theorem

1.

$^3\sqrt{8}=$

a)

2

b)

-2

c)

±2

d)

None

2.

$^3\sqrt{-8}$ =

a)

2

b)

-2

c)

±2

d)

None

3.

$\sqrt{\frac{16}{81}}$ =

a)

4/9

b)

8/27

c)

8/9

d)

4/3

4.

$\left(\frac{2}{3}\right)^3=$

a)

4/9

b)

2/3

c)

6/9

d)

8/27

5.

$^3\sqrt{\frac{1}{216}}=$

a)

1/8

b)

1/6

c)

1/16

d)

1/216

6.

The area of a square painting is 81 cm². What is the side length of the painting?

a)

40.5 cm

b)

162 cm

c)

6,561 cm

d)

9 cm

7.

$\left(\sqrt{9}\right)^2+5$

a)

14

b)

3

8.

$18-4\left(^3\sqrt{8}\right)$

a)

7

b)

-14

c)

10

9.

$\ ^3\sqrt{-\frac{27}{1000}}$

a)

$-\frac{3}{10}$

b)

$\frac{3}{10}$

c)

$\pm\frac{3}{10}$

10.

A square with side length s has an area of 0.81 square units. What is the length of the side of the square?

a)

0.9 units

b)

0.6561 units

c)

0.405 units

d)

0.3 units

11.

$\ \left(^3\sqrt{-64}\right)^3+43$

a)

107

b)

-21

c)

21

12.

$\sqrt{12.25}$

a)

.35

b)

3.5

c)

35

13.

$\ ^3\sqrt{1.331}$

a)

11

b)

1.1

c)

.1

d)

.01

14.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

15.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

16.

_{^{Find the missing side}}

a)

29.2

b)

20

c)

400

d)

10

17.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

18.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

19.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

20.

Evaluate the expression

5\left(^3\sqrt{512}\right)^{ }-20

a)

2,540

b)

0

c)

20

d)

-60

21.

Evaluate the expression

\left(\sqrt{25}\right)^2-10

a)

15

b)

10

c)

-10

d)

-15

22.

Find the cube root(s):

-^3\sqrt{343,000}

a)

-7

b)

-70

c)

-700

23.

Find the square root(s):

\sqrt{16900}

a)

1300

b)

130

c)

13

d)

1.3

24.

a)

72

b)

6

c)

12

d)

4

25.

The expression under a radical sign is the ______________.

a)

Radical

b)

Radicand

c)

Square Root

d)

Cube Root

26.

Simplify

a)

8

b)

2

c)

4

d)

16

27.

What is the Pythagorean Theorem?

a)

$a^2\ +c^2\ =\ b^2$

b)

$a^2-b^2=c^2$

c)

$a^2\ +b^2\ =c^2$

d)

$a\ +b^2\ =c^2$

28.

What is Pythagorean Theorem?

a)

The volume of a triangular prism

b)

Calculating triangular angles

c)

The geometry among the three sides of a right triangle

d)

The geometric relationship between all shapes.

29.

What is the side length of a cube with volume of 27 inches cubed?

a)

9 in

b)

3 in

c)

4 in

d)

18 in

30.

What is the side length of a cube with the volume of 64 inches cubed?

a)

8 in

b)

16 in

c)

2 in

d)

4 in

31.

Simplify

\sqrt{\frac{9}{16}}

a)

$\frac{9}{16}$

b)

$\frac{3}{2}$

c)

$\frac{9}{4}$

d)

$\frac{3}{4}$

32.

$\sqrt{\frac{64}{100}}$ simplify

a)

$\frac{8}{10}$

b)

$\frac{6}{10}$

c)

$\frac{4}{10}$

d)

$\frac{7}{10}$

33.

a)

8

b)

9

c)

13

d)

23

34.

a)

5

b)

25

c)

15

d)

$5\sqrt{5}$

35.

Solve using the Pythagorean theorem.

a)

5

b)

9

c)

10

d)

14

36.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

37.

Level 1

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

38.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

39.

What is always the longest side in a right triangle?

a)

leg (a)

b)

leg (b)

c)

hypotenuse (c)

d)

depends on the location of the right angle

40.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

41.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

42.

All the following are Perfect Squares except for which one?

a)

81

b)

121

c)

361

d)

198

43.

$9^2=18$ True or false?

a)

True

b)

False

44.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

45.

Mr. Jarowski is hanging a square picture frame that has ab area of 169 cm². Find the side length of the frame.

a)

12 cm

b)

13 cm

c)

13 in

d)

16 cm

46.

The area of the square pool on Mr. Carr's vacation was 256 ft². How long was one side of the pool?

a)

17 ft

b)

18 ft

c)

16 ft

d)

15 ft

47.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

48.

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

a)

9

b)

40

c)

41

49.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

50.

Is this a right triangle?

a)

Yes

b)

No

51.

Is this a right triangle?

a)

Yes

b)

No

52.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

53.

A triangle has legs that are 7 inches and 24 inches long. How long is the hypotenuse?

a)

23

b)

26

c)

28

d)

25

54.

Convert 1.5555... to a fraction.

a)

14/9

b)

15/10

c)

3/2

d)

1.5/9

55.

Convert 4.363636... to a fraction.

a)

48/11

b)

4/11

c)

4.36/99

d)

34/25

56.

A ______ decimal is a decimal in which a digit, or a group of digits, repeat(s) infinitely

a)

non-terminating

b)

terminating

c)

repeating

57.

A ______ decimal has a finite number of digits, meaning that after a so many places, the decimal ends.

a)

non-terminating

b)

terminating

c)

repeating

58.

0.33333 is considered a ________ decimal

a)

repeating

b)

terminating

59.

Identify the fraction equivalent to the decimal below.

a)

8/90

b)

8/99

c)

8/10

d)

8/9

60.

a)

2/3

b)

-2/3

c)

3/5

d)

-3/5

61.

Classify the Real Number: (Can have more than one answer)

$\sqrt[]{14}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

62.

Classify the Real Number(Can have more than one answer)

-9

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

63.

Classify the Real Number(Can have more than one answer)

$\frac{52}{13}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

64.

Classify the Real Number:(Can have more than one answer)

$-\frac{3}{9}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

65.

Classify the Real Number:(Can have more than one answer)

$\sqrt[]{60}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

66.

Classify the Real Number:(Can have more than one answer)

$\sqrt[]{121}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

67.

Classify the Real Number:(Can have more than one answer)

$\sqrt[3]{-49}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

68.

Classify the Real Number:(Can have more than one answer)

$-1.125$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

69.

Classify the Real Number:(Can have more than one answer)

$\frac{24}{3}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

70.

Classify the Real Number:(Can have more than one answer)

$-\ \sqrt[]{25}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

Square Roots, Cube Roots, Pythagorean Theorem

Total questions: 70

Worksheet time: 5hrs 52mins

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