﻿ Order of Operations Worksheet | Problems & Solutions # 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. $\frac{8}{3-\frac{8}{3}}$ = 24 b. $\frac{8}{8-\frac{3}{8}}$ = 24 c. $\frac{8}{3-\frac{3}{8}}$ = 24 d. $\frac{8}{8-\frac{8}{3}}$ = 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 $\frac{1}{8}$of it to her friend Sara and $\frac{1}{3}$of 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.]

8.
The length of a rectangle is 12m. Its breadth is $\frac{3}{4}$of 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.]

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.]