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Worksheets

Square Number, Exponents and Cubed numbers

Total questions: 119

Worksheet time: 3hrs 26mins

Name
Class
Date
1.

Noah has a garden with square-shaped flower beds. Which of the following areas could be the area of one of Noah's square flower beds?

a)

14

b)

25

c)

7

d)

19

2.

7 x 7 =

a)

42

b)

15

c)

49

d)

14

3.

James is arranging square tiles in his garden. He has already placed tiles in a 6x6 grid. What square number would come next?

a)

6x6=36

b)

2x2=4

c)

8x8=64

d)

10x10=100

4.

Aria, Ava, and Zoe are solving math problems. Which 3 numbers are square numbers?

a)

8x8=64

b)

5x4=20

c)

7x7=49

d)

9x9=81

5.

Aiden wants to find the area of a square garden. How does he calculate it?

a)

He subtracts numbers.

b)

Adding any 2 numbers together

c)

He multiplies any 2 numbers.

d)

He multiplies a number times itself.

6.

Benjamin has 4 boxes, each containing 4 apples. How many apples does he have in total?

a)

8

b)

16

c)

12

d)

32

7.
What multiplication sentence does this repeated addition sentence represent?
6 + 6 + 6 + 6 + 6 + 6 = 
a)
6 x 5 = 
b)
6 x 6 = 
c)
6 + 6 = 
d)
6 x 0 = 
8.
What multiplication sentence does this array represent? 
 X X X 
X X X 
X X X 
a)
3 x 3 = 9
b)
3 + 3 = 9 
c)
3 x 3 = 12
d)
3 + 3 = 6
9.

Which grids represent a perfect square?

a)
b)
c)
d)
10.

James is arranging chairs in a hall. What array is shown in the image?

a)

7x7=49

b)

11x11=121

c)

9x9=81

d)

12x12=144

11.

Which is the next number in the square sequence?

a)

1

b)

5

c)

17

d)

25

12.

What is the square of 5?

a)

10

b)

15

c)

25

d)

20

13.

Which of the following is not a square number?

a)

16

b)

20

c)

9

d)

4

14.

Avery has 3 baskets, each containing 3 apples. What is the total number of apples?

a)

6

b)

9

c)

12

d)

15

15.

What is the square root of 4 ?

a)

1

b)

2

c)

4

d)

7

16.

What is the square root of 16 ?

a)

3

b)

8

c)

4

d)

10

17.

What is the square root of 49 ?

a)

40

b)

9

c)

8

d)

7

18.

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

19.

What is the square root of 25 ?

a)

4

b)

6

c)

5

d)

9

20.

Which of these numbers are square numbers?

a)

2, 4, 36, 54, 100

b)

2, 4, 52, 60, 100

c)

4, 36, 81, 100

d)

4, 36, 60, 100

21.

What is 9 squared?

a)

36

b)

81

c)

25

d)

49

22.

What is 12 squared?

a)

144

b)

156

c)

89

d)

122

23.

122

a)

144

b)

134

c)

122

d)

145

24.
132
a)
159
b)
266
c)
169
d)
156
25.
142
a)
169
b)
196
c)
186
d)
296
26.
152
a)
225
b)
125
c)
255
d)
265
27.

Which is a square number?

a)

14

b)

25

c)

7

d)

19

28.

7 x 7 =

a)

42

b)

15

c)

49

d)

14

29.

What square number would come next?

a)

6x6=36

b)

2x2=4

c)

8x8=64

d)

10x10=100

30.

Which 3 numbers are square numbers?

a)

8x8=64

b)

5x4=20

c)

7x7=49

d)

9x9=81

31.

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.

32.

4x4=

a)

8

b)

16

c)

12

d)

32

33.

9 x 9 =

(a)  

34.

8 x 8 =

(a)  

35.

11 x 11 =

(a)  

36.

3 x 3 =

(a)  

37.

10 x 10 =

(a)  

38.

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

39.
True or false? 9² is 18
a)
True
b)
False
40.

What is 22

a)

4

b)

2

c)

6

d)

8

41.

What is 23

a)

8

b)

2

c)

4

d)

6

42.

What is 32

a)

3

b)

6

c)

9

d)

12

43.

What is 62

a)

12

b)

30

c)

36

d)

42

44.

What is 72

a)

14

b)

49

c)

35

d)

42

45.

What is 102

a)

10

b)

20

c)

100

d)

1000

46.

What is 103

a)

10

b)

30

c)

100

d)

1000

47.

What is 112

a)

22

b)

121

c)

132

d)

110

48.

Solve for  222^2  



(a)  

49.

Solve for  323^2  



(a)  

50.

Solve for  424^2  



(a)  

51.

Solve for  525^2  



(a)  

52.

Solve for  626^2  



(a)  

53.

Solve for  727^2  



(a)  

54.

Solve for  828^2  



(a)  

55.

Solve for  929^2  



(a)  

56.

Solve for  10210^2  



(a)  

57.

Solve for 22 2^{2\ }   ++   323^2  



(a)  

58.

Solve for 32 3^{2\ }   ++   424^2  



(a)  

59.

Solve for 52 5^{2\ }   ++   121^2  



(a)  

60.

What is a square number?

a)

Square numbers are 1, 10, 100, 1000 and so on...

b)

Square numbers are numbers that look like squares.

c)

Square numbers are numbers that are the digits in a date multiplied.

d)

Square numbers are numbers that are a product of a number multiplied by itself.

61.

Which one of these is not a square number?

a)

64

b)

16

c)

20

d)

100

62.

What is the square number after 36?

a)

64

b)

81

c)

45

d)

49

63.

Complete the sequence: 1, 4, 9, 16, 25

a)

36, 49, 69, 81, 100

b)

36, 49, 100, 121

c)

36, 46, 81, 100

d)

36, 49, 64, 81

64.

9 x 9 =

(a)  

65.

4 x 4 =

(a)  

66.

8 x 8 =

(a)  

67.

1 x 1 =

(a)  

68.

11 x 11 =

(a)  

69.

10 x 10 =

(a)  

70.

6 x 6 =

(a)  

71.

2 x 2 =

(a)  

72.

5 x 5 =

(a)  

73.

7 x 7 =

(a)  

74.

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

75.

What is a square number?

a)

Square numbers are 1, 10, 100, 1000 and so on...

b)

Square numbers are numbers that look like squares.

c)

Square numbers are numbers that are the digits in a date multiplied.

d)

Square numbers are numbers that are a product of a number multiplied by itself.

76.

Which one of these is not a square number?

a)

64

b)

16

c)

20

d)

100

77.

What is the square number after 36?

a)

64

b)

81

c)

45

d)

49

78.

Complete the sequence: 1, 4, 9, 16, 25

a)

36, 49, 69, 81, 100

b)

36, 49, 100, 121

c)

36, 46, 81, 100

d)

36, 49, 64, 81

79.

9 x 9 =

(a)  

80.

4 x 4 =

(a)  

81.

8 x 8 =

(a)  

82.

1 x 1 =

(a)  

83.

11 x 11 =

(a)  

84.

10 x 10 =

(a)  

85.

6 x 6 =

(a)  

86.

2 x 2 =

(a)  

87.

5 x 5 =

(a)  

88.

7 x 7 =

(a)  

89.

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

90.

10×10×10×10×10=10\times10\times10\times10\times10=  

a)

10×510\times5  

b)

10510^5  

91.

103=10^3=  

a)

10×10×1010\times10\times10  

b)

10×310\times3  

c)

10+10+1010+10+10  

d)

10,000

92.

Which number is the BASE? 272^7 =128

a)

2

b)

7

c)

128

d)

272^7  

93.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

94.

y0=y^0=  

a)

y

b)

0

c)

1

d)

10

95.

3650=365^0=  

a)

0

b)

1

c)

365

d)

1365\frac{1}{365}  

96.

x5x^{-5}  =

a)

1x5\frac{1}{x^{-5}}  

b)

1x5\frac{1}{x^5}  

c)

x51\frac{x^5}{1}  

d)

x51\frac{x^{-5}}{1}  

97.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

98.

x3x4 =x^3\cdot x^4\ =  

a)

x12 x^{12\ }  

b)

x1x^{-1}  

c)

x7x^7  

d)

x34x^{34}  

99.

m2m6m=m^2\cdot m^6\cdot m=  

a)

m8m^8  

b)

m12m^{12}  

c)

m4m^4  

d)

m9m^9  

100.

x3x7x2x^{-3}\cdot x^7\cdot x^2  =

a)

x6x^6  

b)

x12x^{12}  

c)

x42x^{-42}  

d)

x12x^{-12}  

101.

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

a)

Add

b)

Subract

c)

Multiply

d)

Divide

102.

x9x4\frac{x^9}{x^4}  =

a)

x13x^{13}  

b)

x36x^{36}  

c)

x5x^5  

d)

x5x^{-5}  

103.

x17x8\frac{x^{17}}{x^8}  

a)

x9x^9  

b)

x25x^{25}  

c)

x9x^{-9}  

d)

x25x^{-25}  

104.

9x23x=\frac{9x^2}{3x^{ }}=  

a)

3x23x^2  

b)

3x3x

c)

9x9x  

d)

6x6x  

105.

a5b10a3b6=\frac{a^5b^{10}}{a^3b^6}=  

a)

a8b16a^8b^{16}  

b)

a2b4a^2b^4  

c)

a15b60a^{15}b^{60}  

d)

a2b16a^2b^{16}  

106.

(x5)4\left(x^5\right)^4  

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

107.

(x7)2\left(x^7\right)^2  =

a)

x14x^{14}  

b)

x9x^9  

c)

x5x^5  

d)

2x72x^7  

108.

(a3b5)7\left(a^3b^5\right)^7  =

a)

a3b35a^3b^{35}  

b)

a10b12a^{10}b^{12}  

c)

a8b8a^8b^8  

d)

a21b35a^{21}b^{35}  

109.

(ab2)8\left(ab^2\right)^8  =

a)

ab16ab^{16}  

b)

a8b16a^8b^{16}  

c)

a9b10a^9b^{10}  

d)

ab10ab^{10}  

110.
103
a)
30
b)
100
c)
1000
d)
3000
111.

43

a)

56

b)

43

c)

32

d)

64

112.
33=
a)
9
b)
33
c)
27
d)
12
113.
23+53=
a)
14
b)
133
c)
21
d)
210
114.
83=___
a)
512
b)
398
c)
43
d)
764
115.
33
a)
89
b)
27
c)
42
d)
100
116.
503
a)
15,000
b)
125,000
c)
150
d)
1250
117.
63
a)
196
b)
206
c)
216
d)
226
118.
93
a)
689
b)
709
c)
729
d)
749
119.
23
a)
6
b)
8
c)
9
d)
12