To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

Order of Operations Worksheet

Order of Operations Worksheet
  • Page 1
 1.  
Sarah and her 2 friends ordered for 2 cheese burgers for $5 each, a toast for $2.50 and 3 large drinks for $0.95 each. They decided to split these costs evenly. Which equation should be used to find c, the cost each person has to pay, excluding the tax?
a.
c = 2 × 5 + 2.50 + 3 × 0.95 ÷ 3
b.
c = (2 × 5 + 2.50 + 3 × 0.95) ÷ 3
c.
c = (5 + 2.50 + 3 × 0.95) ÷ 3
d.
c = (2 × 5 + 2.50 + 0.95) ÷ 3


Solution:

2 × $5
[2 cheese burgers cost 2 × $5.]

1 × 2.50 = $2.50
[1 toast costs $2.50.]

3 × $0.95
[3 large drinks cost 3 × $0.95.]

2 × $5 + $2.50 + 3 × $0.95
[Total cost.]

(2 × $5 + $2.50 + 3 × $0.95) ÷ 3
[Divide by 3 as three people share the total cost evenly.]

So, c = (2 × 5 + 2.50 + 3 × 0.95) ÷ 3


Correct answer : (2)
 2.  
Mrs.Jenny instructed her students to write an expression that equals 10 using the numbers 2, 3, 5 and 7. Choose the correct answer.
a.
3 × 5 + 7 - 2
b.
3 - 5 + 7 × 2
c.
3 × 5 - 7 + 2
d.
3 × 7 + 5 - 2


Solution:

3 × 5 + 7 - 2
[Consider choice 1.]

3 × 5 + 7 - 2 = 15 + 7 - 2 = 22 - 2 = 20
[Follow order of operations rules.]

3 - 5 + 7 × 2
[Consider choice 2.]

3 - 5 + 7 × 2 = 3 - 5 + 14 = 3 + 9 = 12
[Follow order of operations rules.]

3 × 5 - 7 + 2
[Consider choice 3.]

3 × 5 - 7 + 2 = 15 - 7 + 2 = 8 + 2 = 10
[Follow order of operations rules.]

Choice C is the correct expression.


Correct answer : (3)
 3.  
Identify an arithmetic expression that equals to 13 and contains the operations of addition, division and multiplication.
a.
4 ÷ 2 + 3 × 7
b.
4 ÷ 2 × 7 + 3
c.
4 × 4 ÷ 2 + 7
d.
4 ÷ 2 × 3 + 7


Solution:

4 ÷ 2 + 3 × 7
[Consider choice 1.]

4 ÷ 2 + 3 × 7 = 2 + 3 × 7 = 2 + 21 = 23
[Follow order of operations rules.]

4 ÷ 2 × 7 + 3
[Consider choice 2.]

4 ÷ 2 × 7 + 3 = 2 × 7 + 3 = 14 + 3 = 17
[Follow order of operations rules.]

4 × 4 ÷ 2 + 7
[Consider choice 3.]

4 × 4 ÷ 2 + 7 = 4 × 2 + 7 = 8 + 7 = 15
[Follow order of operations rules.]

4 ÷ 2 × 3 + 7
[Consider choice 4.]

4 ÷ 2 × 3 + 7 = 2 × 3 + 7 = 6 + 7 = 13
[Follow order of operations rules.]

Choice D is the correct expression.


Correct answer : (4)
 4.  
Digits 1 to 9 stand in a row in an ascending order. Insert the symbols of pluses and minuses between them to get 100. Use only 3 signs.
a.
123 - 45 - 67 + 89 = 100
b.
12 - 345 + 67 + 89 = 100
c.
123 + 45 - 67 + 89 = 100
d.
123 + 45 - 67 - 89 = 100


Solution:

Write numbers 1 to 9 in ascending order .

1 2 3 4 5 6 7 8 9

Try placing the symbols between the numbers.

By trail and error, place '-' sign between 3 & 4 and 5 & 6 and '+' sign between 7 & 8 to get the result as 100.

123 - 45 - 67 + 89 = 100.


Correct answer : (1)
 5.  
Digits 1 to 9 stand in a row in a descending order. Insert the symbols of pluses and minuses between them to get 100. Use only 4 signs.
a.
98 + 76 - 54 - 3 - 21 = 100
b.
98 - 76 + 54 - 3 + 21 = 100
c.
98 - 76 + 54 + 3 + 21 = 100
d.
98 + 76 - 54 + 3 - 21 = 100


Solution:

Write the numbers fro 1 to 9 in descending order.

9 8 7 6 5 4 3 2 1

Try placing symbols between the series of numbers.

By trail and error, place '-' sign between 8 & 7 and '+' sign between 6 & 5, 4 & 3 and 3 & 2

98 - 76 + 54 + 3 + 21 = 100


Correct answer : (3)
 6.  
It is quite easy to get 24 from 8 and 3 by just multiplying them together. But discover how incredibly hard this task can be taken when you have two 8's and two 3's. [You can use any operation '+, -, ×, / and brackets.]
a.
83-83 = 24
b.
88-38 = 24
c.
83-38 = 24
d.
88-83 = 24


Solution:

The given task is to obtain 24 using two 8's and two 3's. Try out the possible outcomes.
[By trail and error method.]

83-83 = 24
[By trail.]

813 = 24
[Simplify.]

8 × 3 = 24
[The condition of equality satisfies.]


Correct answer : (1)
 7.  
Emily had $2400. She gave 1 8of it to her friend Sara and 1 3of it to her sister Rita. How much is left with her?
a.
$800
b.
$1100
c.
$300
d.
$1300


Solution:

Emily had = $2400
[Given.]

The amount left with Emily after giving to Sara and Rita = [2400 - ({2400 × 1 / 8} + {2400 × 1 / 3 })]

= $1300.
[Use order of operations to simplify.]


Correct answer : (4)
 8.  
The length of a rectangle is 12m. Its breadth is 3 4of its length. Find its perimeter.
a.
108 m
b.
81 m
c.
42 m
d.
21 m


Solution:

Length of the rectangle = 12m.

Breadth of the rectangle = 12 × 3 / 4= 9m.

Perimeter of the rectangle = 2(length + breadth)

= 2(12 + 9) = 42m.
[Use order of operations to simplify.]


Correct answer : (3)
 9.  
Mary wants to bring 12 candies at $1.75 each and two burgers at $2 each. How much will she spend?
a.
$25
b.
$21
c.
$22
d.
$24


Solution:

Mary bought each candy for = $1.75
[Given.]

Cost of one burger = $2

Amount that she needs to spend = (12 × 1.75) + (2 × 2)

= $25.
[Use order of operations to simplify.]


Correct answer : (1)
 10.  
Lara had $42.50 with him. He gave $4.75 to each of his two younger brothers. How much is left with him?
a.
$31
b.
$23
c.
$32
d.
$33


Solution:

Amount that Lara had = $42.50
[Given.]

Amount given to each of his brothers = $4.75

Amount left with Lara = [42.50 - (2 × 4.75)]


= $33.
[Use order of operations to simplify.]


Correct answer : (4)

More Order of Operations Worksheet
Order of Operations Word Problems
*AP and SAT are registered trademarks of the College Board.