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Worksheets

Order of Operations

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

Choose the expression that does NOT equal to 6 × 45.

a)

6 × (40 + 5)

b)

4 + 2 × 45

c)

(6 × 40) + (6 × 5)

d)

6 × (20 + 25)

2.

What is the value of the expression [5 × (3 + 6)] – 8?

a)

5

b)

13

c)

36

d)

37

3.

Which numerical expression represents the following calculation?


Subtract 32 from the product of 48 and 15.

a)

32 – (48 × 15)

b)

(48 – 15) × 32

c)

(48 × 15) – 32

d)

32 × (48 – 15)

4.

Describe how the value of Expression A compares to the value of Expression B.


A) 3 × (54 + 21)


B) 6 × (54 + 21)

a)

The value of Expression A is one-half of the value of Expression B.

b)

The value of Expression A is 3 more than the value of Expression B.

c)

The value of Expression A is twice the value of Expression B.

5.

What symbol goes between the two expressions? (Use your logic.)

(528 x 65) - 85    ?    (528 x 65) - 75

a)

<

b)

=

c)

>

6.

Where should you insert parentheses to make the statement true?


12 – 3 × 2 + 6 = 24

a)

(12 – 3) × 2 + 6 = 24

b)

12 – (3 × 2) + 6 = 24

c)

12 – 3 × (2 + 6) = 24

d)

12 – (3 × 2 + 6) = 24

7.

Which expression represents the following calculation?


Add 3.2 to the quotient of 8.4 divided by 6.

a)

(8.4 ÷ 6) + 3.2

b)

(8.4 + 6) ÷ 3.2

c)

(8.4 + 3.2) ÷ 6

d)

6 + (3.2 × 8.4)

8.

Nora ran 5 miles last week.

She ran 7 miles this week.

During the same two weeks, Beth ran three times as many miles as Nora.


Which expression represents the number of miles that Beth ran in the two weeks?

a)

(5 + 7) + 3

b)

(5 + 7) × 3

c)

3 x (5 + 7)

d)

(5 + 7) ÷\div 3

9.

Nora ran 5 miles last week.

She ran 7 miles this week.

During the same two weeks, Beth ran three times as many miles as Nora.


How many miles did Beth run?

a)

4

b)

15

c)

36

d)

42

10.

Tyler is evaluating the expression

6 + 9 ÷ 3 × 7

using the order of operations.

What should Tyler do first?

a)

6 + 9

b)

9 ÷\div 3

c)

3 x 7

d)

6 + 3

11.

Tyler says the value of the expression

6 + 9 ÷ 3 × 7 = 35.

Did Tyler use the order of operations correctly?

a)

Yes, the value of the expression equals 35.

b)

No, the value of the expression equals 21.

c)

No, the value of the expression equals 27.

d)

No, the value of the expression equals 63.

12.

Which symbol goes between the two expressions?


 14\frac{1}{4}   × (458 + 231)    ?    (458 + 231) ÷ 4

a)

<

b)

=

c)

>

13.

Rhonda tutors students after school. She charges $25 per hour to tutor math students and $30 per hour to tutor science students.

She tutored math students for 3 hours on Thursday and science students for 5 hours on Monday.


Which of the following expressions can be used to find the total amount of money that Rhonda earned?

a)

(50 + 30) × (5 + 3)

b)

(3 + 25) × (5 + 30)

c)

(5 × 25) + (3 × 30)

d)

(3 × 25) + (5 × 30)

14.

Mrs. Gilchrist wrote the following expression on the board.
3 + (18 - 6) + 20  ÷\div  4
 Which step should her students do first?

a)

3 + 18

b)

18 - 6

c)

6 + 20

d)

20 ÷\div 4

15.

Mrs. Gilchrist wrote the following expression on the board.

3 + (18 – 6) + 20 ÷ 4

Which step should the students do second when evaluating this expression?

a)

3 + 18

b)

18 - 6

c)

12 + 20

d)

20 ÷\div 4

16.

Mrs. Gilchrist wrote the following expression on the board.

3 + (18 – 6) + 20 ÷ 4

What is the value of this expression?

a)

8

b)

9

c)

15

d)

20

17.

Camille is making treasure boxes for campers. There are 12 younger campers, and each of their boxes contains 4 prizes.

There are 10 older campers, and each of their boxes contains 6 prizes.

Which of the following expressions can be used to find out the total number of prizes?

a)

(12 + 4) + (10 + 6)

b)

(12 x 4) x (10 x 6)

c)

(12 x 4) + (10 x 6)

d)

(12 x 4) - (10 x 6)

18.

Camille is making treasure boxes for campers. There are 12 younger campers, and each of their boxes contains 4 prizes.

There are 10 older campers, and each of their boxes contains 6 prizes.

What was the total number of prizes for the campers?

a)

32

b)

56

c)

72

d)

108

19.

Find the value of this expression:


8 ÷ (9 – 5) + 3 × 2

a)

7

b)

8

c)

9

d)

10

20.

What is the value of [3 × (8 – 2)] + 5?

a)

20

b)

23

c)

27

d)

33