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Exponent & Order of Operations

Total questions: 53

Worksheet time: 53mins

Name
Class
Date
1.
Which number is the BASE?
23 = 8
a)
2
b)
3
c)
8
2.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
3.

35

a)

15

b)

51

c)

125

d)

243

4.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
8
5.
a)

43

b)

415

c)

13

d)

115

6.

Which number is the base?

54

a)

4

b)

5

7.
What is nine cubed in exponential form?
a)
9 x 9 x 9 
b)
93
8.

Evaluate 24.

a)

8

b)

20

c)

16

d)

12

9.

Evaluate 53.

a)

15

b)

125

c)

8

d)

53

10.

Write in exponential form

7 x 7 x 7 x 7 x 7 x 7 ?

a)

75

b)

76

c)

67

d)

77

11.

What does 45 mean?

a)

4x4x4x4

b)

4x4x4x4x4

c)

4x4x4x4x4x4

d)

4x5

12.

What is 3x3x3 in exponential form?

a)

32

b)

33

c)

34

d)

35

13.

How do you use exponents to represent numbers?

a)

repeated multiplication

b)

repeated addition

c)

repeated subtraction

d)

repeated division

14.

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

15.

What does the term"cubed" mean?

a)

raised to the power of 2

b)

raised to the power of 3

c)

raised to the power of 4

16.

Which is GREATER?

27 or 72

a)

27

b)

72

c)

Neither, they are equal

17.

25 is the same as 2 x 5.

a)

True

b)

False

18.

Which operation is performed FIRST? (13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

19.

Which operation is performed FIRST: 38 + (9 x 6) ÷ 3

a)

addition +

b)

division ÷

c)

multiplication X

20.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

21.

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

a)

add, multiply

b)

subtract, divide

c)

divide, subtract

d)

subtract, multiply

22.
14 + (22 - 2) =
a)

34

b)

37

c)

40

23.
20 x 2 - (10 - 4)
a)

22

b)

30

c)

34

24.

Simplify

a)

232

b)

278

c)

332

d)

488

25.
4 + 9 + 8 ÷ 4
a)

5.25

b)

5

c)

25

d)

15

26.

Which operation should you perform first in the expression

−4+33÷5-4+3^3\div5  

a)

exponent

b)

division

c)

addition

d)

subtraction

27.
Simplify the following:
(2 + 7 - 1) ÷ 22
a)

16

b)

2

c)

72.25

d)

8.75

28.
20 x 2 - (10 - 4)
a)
22
b)
30
c)
34
29.
14 + (22 - 2) =
a)
34
b)
37
c)
40
30.
(2x8)-9+7
a)
14
b)
12
c)
15
d)
16
31.
(24-16)÷8
a)
8
b)
1
c)
2
d)
7
32.
7x(7-4)÷3
a)
8
b)
6
c)
7
d)
5
33.

5x(6-3)

a)

19

b)

27

c)

15

d)

23

34.

8+ (2x12)

a)

56

b)

32

c)

23

35.

Select any expressions that contain grouping symbols.

a)

2+3−72+3-7  

b)

5(3−1)+65\left(3-1\right)+6  

c)

65×78×265\times78\times2  

d)

∣3−8∣+4\left|3-8\right|+4  

e)

424^2  

36.

Which of the steps in GEMDAS requires the left to right rule? Select all that apply.

a)

Grouping

b)

Exponents

c)

Multiply / Divide

d)

Add / Subtract

37.

 Simplify the expression  12−4÷212-4\div2  

a)

6

b)

4

c)

10

d)

14

38.

18÷3−2×218\div3-2\times2  

Simplify the expression

a)

12

b)

2

c)

4

d)

8

39.

Simplify the expression  (7−3)2÷4\left(7-3\right)^2\div4  

a)

2

b)

8

c)

-2/4

d)

4

40.

Solve:

52 + 345^2\ +\ 3^4  

a)

22

b)

106

c)

52

d)

37

41.

24 ÷ 4 × 324\ \div\ 4\ \times\ 3  

a)

2

b)

18

42.

36 ÷ 22 − 1 × 2336\ \div\ 2^2\ -\ 1\ \times\ 2^3  

a)

1

b)

64

c)

4,096

43.

12 × 10 × 3\frac{1}{2}\ \times\ 10\ \times\ 3  

a)

60

b)

30

c)

15

d)

45

44.

(24 - 16) ÷ 8 =

a)

8

b)

1

c)

2

d)

7

45.

Write with an exponent:
3⋅3⋅3⋅3⋅33\cdot3\cdot3\cdot3\cdot3  

a)

353^5  

b)

535^3  

46.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
47.

Solve the following:

(2 + 7 - 1) ÷ 22

a)

16

b)

2

c)

4

d)

8

48.

(7 + 41) ÷ 2 – 15 =

a)

19

b)

9

c)

25

d)

3

49.
Which operation is performed FIRST?
25 x (3-1)
a)
multiplication
b)
subtraction
c)
division
50.
Solve:
(40 x 4) - 33
a)
100
b)
125
c)
127
51.
(2 x 5) + 18
a)
48
b)
20
c)
28
52.
20 x 2 - (10 - 4)
a)
22
b)
30
c)
34
53.
Solve:
38 + (9 x 6) ÷ 3
a)
40
b)
65
c)
56