Free Printable Prerequisite knowledge (Radicals)

1.

5²

a)

16

b)

25

c)

20

d)

10

2.

1²

a)

1

b)

2

c)

0

d)

-1

3.

4²

a)

8

b)

15

c)

18

d)

16

4.

2²

a)

2

b)

4

c)

5

d)

6

5.

6²

a)

36

b)

12

c)

25

d)

42

6.

3²

a)

6

b)

12

c)

9

d)

10

7.

8²

a)

68

b)

64

c)

16

d)

56

8.

9²

a)

18

b)

81

c)

90

d)

64

9.

11²

a)

132

b)

144

c)

121

d)

22

10.

7²

a)

50

b)

49

c)

14

d)

48

11.

12²

a)

144

b)

132

c)

121

d)

24

12.

10²

a)

100

b)

20

c)

200

d)

10

13.

20²

a)

40

b)

200

c)

20

d)

400

14.

15²

a)

196

b)

289

c)

256

d)

225

15.

13²

a)

26

b)

196

c)

144

d)

169

16.

A perfect square is the (a) of an integer and itself.

Choose from the below words

product

sum

difference

quotient

17.

Match the following numbers to their square roots.

a)

49

1.

7

b)

64

2.

8

c)

81

3.

9

d)

36

4.

6

e)

25

5.

5

18.

Which of the following is not a perfect square?

a)

49

b)

81

c)

111

d)

144

19.

What do we call √ ?

a)

radicand

b)

radical symbol

c)

cube root

d)

index

20.

Which would be the next number in the pattern?
36, 49, 64, 81 __

a)

82

b)

18

c)

64

d)

100

21.

Find $\sqrt[]{49}$

a)

1

b)

7

c)

5

d)

9

22.

Find 2².

a)

2

b)

4

c)

6

d)

8

23.

You want to build a square garden. The dimension on one side is 5 yards, how many square yards would the garden be?

(a)

24.

$\sqrt[]{100}=?$

a)

12

b)

10

c)

11

25.

A square rug has an area of 64. What are the dimensions?

a)

6 X 6

b)

7 X 7

c)

8 X 8

d)

9 X 9

26.

What is the square root of 49 ?

a)

40

b)

9

c)

8

d)

7

27.

1- Which number is a perfect square?

a)

a) 32

b)

b) 25

c)

c) 22

d)

D) 24

28.

3- Which number is perfect square?

a)

a) 36

b)

b) 39

c)

c) 89

d)

d) 11

29.

5- Which number is perfect square?

a)

a) 124

b)

b) 144

c)

c) 158

d)

d) 164

30.

7- Which number is perfect square?

a)

a) 3

b)

b) 16

c)

c) 33

d)

d) 13

31.

9- Which number is perfect square?

a)

a) 48

b)

b) 49

c)

c) 59

d)

d) 29

32.

10- Which number is perfect square?

a)

a) 81

b)

b) 89

c)

c) 90

d)

d) 88

33.

Between which two whole numbers is the

√20 ?

a)

5 and 6

b)

10 and 2

c)

4 and 5

d)

3 and 4

34.

Which point best represents √27?

a)

point A

b)

point B

c)

point C

d)

point D

e)

point E

35.

a)

a

b)

b

c)

c

d)

d

36.

Solve.

$\left(-5\right)^2=$

37.

Mr. Woodside is building a garden outside of Walker-Grant Middle School. He has enough fertilizer to cover 121 square feet. If Mr. Woodside wants to make a square garden, what should the length of each side be?

a)

12ft

b)

121ft

c)

11ft

d)

13ft

38.

Which contains a list of perfect squares?

a)

20, 24, 36, 48

b)

25, 36, 49, 64

c)

34, 48, 64, 81

d)

36, 49, 62, 84

39.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

40.

Which shows 7⁴ in expanded form?

a)

7 • 7 • 7 • 7

b)

4 • 4 • 4 • 4 • 4 • 4 • 4

c)

2401

d)

16,384

41.

Write 5 • 5 • 5 in exponential form.

a)

3⁵

b)

5³

c)

what is exponential form?

d)

5 • 3

42.

Identify: $-\sqrt{225}$

a)

-112.5

b)

-15

c)

15

d)

112.5

43.

Which of the numbers is non-real? (select all that apply)

a)

$\sqrt{-7}$

b)

$\frac{27}{0}$

c)

$\frac{0}{103}$

d)

$\sqrt{0}$

e)

$\pi$

44.

Which of the following is NOT a rational number

a)

$0.125$

b)

$0.\overline{3}$

c)

$4^2$

d)

$\sqrt{5}$

45.

Numbers that can be written as a fraction are called ______ numbers.

a)

Rational

b)

Irrational

c)

Fractions

d)

Integers

46.

$\sqrt{2}$ and $\pi$ are _____ numbers?

a)

Whole

b)

Irrational

c)

Rational

d)

Non-real

47.

$-\sqrt{144}$

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number)

48.

$\sqrt{-144}$

a)

12

b)

-12

c)

72

d)

none of the above (imaginary number)

49.

$-6^2$ = ?

a)

36

b)

-36

c)

12

d)

-12

50.

$\left(-6\right)^2$ = ?

a)

12

b)

-12

c)

-36

d)

36

51.

$\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?$

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

52.

$\sqrt{18},\ 4.2,\ -\sqrt{16},\ \sqrt{16}$ List from least to greatest:

a)

$-\sqrt{16},\ \sqrt{16},\ 4.2,\ \sqrt{18}$

b)

$-\sqrt{16},\ \sqrt{16},\ \sqrt{18},\ 4.2$

c)

$-\sqrt{16}and\ \sqrt{16\ }\ are\ equal,\ 4.2,\ \sqrt{18}$

d)

$\sqrt{18},\ 4.2,\ \sqrt{16},\ -\sqrt{16}$

53.

Level 3: Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 6

c)

Between -4 and -5 and closer to -5

d)

Between -5 and -6 and closer to -6

54.

Level 3: Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

55.

Level 3: Which point best represents √47?

a)

A

b)

D

c)

E

d)

F

56.

Round to the Nearest Hundredth: √7

a)

3.5

b)

2.7

c)

2.8

d)

14

57.

What is $\sqrt[]{64}$ ?

a)

64

b)

8

c)

32

d)

128

58.

What are all the factors for the number 18?

a)

1, 2, 3, 4, 5, 6, 8, 10

b)

1, 2, 3, 6, 9, 18

c)

1, 2, 9, 18

d)

2, 3, 6, 9, 18

59.

What is the missing factor in the T chart?

(a)

60.

What is the missing factor in the T chart?

(a)

61.

Which are the factors of 32?

a)

1, 2, 4, 8, 16, 32

b)

1, 32, 4, 8

c)

1, 16, 2, 32

62.

Which are the factors of 24?

a)

1, 2, 3, 8, 12, 24

b)

2, 3, 4, 6, 8, 12

c)

1, 2, 3, 4, 6, 8, 12, 24

63.

What is a factor?

a)

a factor is when you divide two numbers to get another number

b)

a whole number that multiplies with another factor to get the whole number product

c)

a factor the answer to a multiplication problem

d)

the same as a multiple

64.

A prime number

a)

has one factor

b)

has more than 2 factors

c)

has 100 factors

d)

has exactly 2 factors: 1 and the number

65.

A composite number

a)

has more than 2 factors

b)

has one factor

c)

has at least 10 factors

d)

is always a really big number

66.

Find ALL FACTORS of 24

a)

1, 2, 12, 24

b)

1, 2, 8, 24

c)

1, 2, 3, 4, 5, 6, 8, 12, 24

d)

1, 2, 3, 4, 6, 8, 12, 24

67.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

68.

Which number is a factor of 42?

a)

7

b)

5

c)

4

d)

8

69.

What pair of numbers has a product of the top number and a sum of the bottom number?

a)

2 and 8

b)

4 and 4

c)

5 and 3

d)

2 and 6

70.

What pair of numbers has a product of the top number and a sum of the bottom number?

a)

4 and 7

b)

2 and 14

c)

1 and 11

d)

3 and 8

71.

A decimal that stops or ends without having to be rounded.

a)

Terminating Decimal

b)

Repeating Decimal

c)

Rational Number

d)

Irrational Number

72.

A number that is multiplied by itself to form a product is a

a)

Square Root

b)

Cube Root

c)

Principal Square Root

d)

Principal Cube Root

73.

The nonnegative square root of a number is the

a)

Principal Square Root

b)

Perfect Square

c)

Square Root

d)

Cube Root

74.

A square of a whole number is

a)

Perfect Square

b)

Cube Root

c)

Perfect Cube

d)

Principal Square Root

75.

A number that is multiplied by itself three times to produce a product.

a)

Cube Root

b)

Square Root

c)

Principal Square Root

d)

Principal Cube Root

76.

A cube of a whole number.

a)

Perfect Cube

b)

Perfect Square

c)

Principal Cube Root

d)

Principal Square Root

77.

A rational or irrational number.

a)

Real Numbers

b)

Scientific Notation

c)

Irrational Numbers

d)

Rational Numbers

78.

The number that indicates how many times the based is used as a factor.

a)

Exponent

b)

Pi

c)

Power

d)

Radical Symbol

79.

A number produced by raising a base to an exponent.

a)

Power

b)

Pi

c)

Real Numbers

d)

Exponent

80.

The symbol used to represent the nonnegative square root of a number.

a)

Radical Symbol

b)

Pi Symbol

c)

Exponent

d)

Square Root

81.

$Evaluate\ \sqrt[3]{343}$

a)

7

b)

10

c)

5

d)

9

82.

$Evaluate\ \sqrt[3]{729}$

a)

9

b)

27

c)

81

d)

729

83.

$Evaluate\ \sqrt[3]{125}$

a)

5

b)

3

c)

4

d)

2

84.

Barbra has a square room with an area of 196 ft². What is the length of one side of her room?

a)

14 ft

b)

196 ft

c)

392 ft

d)

98 ft

85.

Solve the equation:

$x^2=225$

a)

x = 15

b)

x = -15

c)

x = 112.5

d)

x = 0

86.

Solve the equation:

$m^2=4$

a)

m = 2 or m = -2

b)

m = 4

c)

m = 16

d)

m = -4

87.

Label the base and exponent.

a)

base

b)

exponent

1

2

1)

2)

88.

Solve the equations:

$r^3=64$

a)

r = 4

b)

r = 8

c)

r = 16

d)

r = 32

89.

Raven is moving! She has a cube box that has a volume of 27 in³. Which equation could be used to calculate the length of one side of the box.

a)

$x^2=27$

b)

$x^3=27$

c)

$x=27^2$

d)

$x=27^2$

90.

What is the inverse of cubing a number?

a)

Squaring

$x^2$

b)

Square Root

$\sqrt[]{x}$

c)

Cube Roots

$\sqrt[3]{x}$

91.

Match the following square roots with what nunmbers they should be between

a)

$\sqrt{15}$

1.

3 and 4

b)

$\sqrt{43}$

2.

6 and 7

c)

$\sqrt{8}$

3.

2 and 3

d)

$-\sqrt{40}$

4.

-7 and -6

e)

$-\sqrt{5}$

5.

-3 and -2

92.

Order the following from least to greatest $\sqrt{53},\ 7.2,\ \sqrt[3]{64},\ \sqrt{55},\ 7.5$

a)

$\sqrt[3]{64}$

b)

$7.2$

c)

$\sqrt{53}$

d)

$\sqrt{55}$

e)

$7.5$

1)

2)

3)

4)

5)

93.

Evaluate: $-11^{2\ }$

(a)

94.

Evaluate $\left(-11\right)^2$

(a)

95.

(a)

96.

Find the prime factorization of 60

a)

5 • 12

b)

2 • 3² • 5

c)

2² • 3 • 5

d)

2⁷

97.

Find the prime factorization of 18

a)

2 • 9

b)

2² • 3

c)

2 • 3²

d)

3 • 6

98.

What is the greatest common factor of 36 and 40

a)

2

b)

9

c)

4

d)

8

99.

What is the greatest common factor of 36 and 54

a)

2

b)

6

c)

9

d)

18

100.

What number has the prime factorization of 2³• 3² • 5?

a)

360

b)

720

c)

180

d)

240

Prerequisite knowledge (Radicals)

Total questions: 100

Worksheet time: 2hrs 40mins

Similar Resources on Wayground