ORDER OF OPERATIONS WORKSHEET

Order of Operations using BODMAS

Simplify the following :

1)  4 × 6 ÷ 2 - 8² + 15        Solution

2)  4³ ÷ 8 × 2 - 7² + 1   Solution

3)  10² - 8 × 8    Solution

4)  22 + 45 ÷ 5 × 3^{2    Solution}

5)  96 ÷ 4² - 9² + 1   Solution

6)  48 ÷ 2⁴ - 5   Solution

7)  8 - 2² + 4 × 64 ÷ 4²    Solution

8)  15 × 3 - 1 + 9² ÷ 27   Solution

9)  11 + 6² × 1    Solution  

10)  6² + 4 - 18 ÷ 6     Solution

11)  3/4 % of 280 - 1/4 % of 800    Solution

12)  (1/4) x 20 - 4          Solution

13)  9² - 8(6 + 2)          Solution

14)  You have $9, one of your friends has $10, and two of your other friends each have $13. You combine your money to buy arcade tokens. You use a coupon to buy 8 tokens for $1. The cost of the remaining tokens is four for $1. You and your friends share the tokens evenly. How many tokens does each person get?

Solution

15)  10 − 8(13 + 7) ÷ 4²

Solution

16) You borrow bookcases like the one shown to display 943 books at a book sale. You plan to put 22 books on each shelf. No books will be on top of the bookcases.

a. How many bookcases must you borrow to display all the books?

b. You fill the shelves of each bookcase in order, starting with the top shelf. How many books are on the third shelf of the last bookcase?

Solution

1)  Simplify 25 - [20 - {10 - (7-5-3)}]    Solution

2)  Find out the answer for 100 - 3[20 + {50 - 40}]   Solution

3)  7 + (8 - 3 × 2)    Solution

4)  What would be the answer for 50 - [20 + {30 - (20 - 5)}]   Solution

5)  Find the value of 150 - [10 + {3 - (20 - 5)}]        Solution

6)  Simplify 1 ÷ 3/7 × (6 + 8 × 3 - 2) + [1/5 ÷ 7/25 - {3/7 + 8/14}]

Solution

7)  Using the rule of BODMAS, determine the answer of 

18 ÷ 10 - 4 + 32 ÷ (4 + 10 ÷ 2 - 1)

Solution

8)  10 - [6 - {7 - (6 - 8 - 5)}]      Solution

9)  What will the answer of this question

5 × 1/4 ÷ 3/7 + [45/24 - 2/3 + 5/6 × 2/5]

Solution

10)  1800 ÷ 10 {(12 - 6) + (24 - 12)}

Solution

Problem 1 :

A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much does the factory pay out for each week?

Solution

Problem 2 :

If the same factory has supplies expenses of $1135.78 a day in addition to the wages above and makes $60,128.72 in a week, what is the factory’s total profit or loss in one week?

Solution

Problem 3 :

A certain Math Club makes 35 bars of laundry soap a week and sells these at $20 each. Before the soap can all be sold, the pupils found out that 6 bars were destroyed by mice. How much will be the total sale at the end of a four-week month? Write an expression and show your work and answer.

Solution

Problem 4 :

Emily had 30 cookies to bring to school for her birthday. Three students wanted two cookies each. Then, a new student came to the school that day and he wanted three cookies. Then, one of the three kids gave their two cookies back. Emily was still passing out cookies. How many cookies did Emily have left to pass out after the students gave theirs back?

Solution

Problem 5 :

Lilia scores 15 points fewer than Bob, who scores 35 points. Carol scores half as many points as Lilia. How many points does Carol score? Write an expression and evaluate it.

Solution

Problem 6 :

The King family went out to eat. They ordered three combo meals, two sodas, and one iced tea. Write an expression representing their bill. Then, determine the cost of the dinner for the entire family.

Solution

Problem 7 :

The diagram shows landing zones for skydivers. Zone 1 is for experts. The remaining space is divided in half and designated as Zones 2 and 3 for tandem divers. What is the area of Zone 2?

Solution

Problem 8 :

A square plot of land has side lengths of 40 meters. An archaeologist divides the land into 64 equal parts. What is the area of each part?

Solution

Problem 9 :

A glass block window is made of two diff erent-sized glass squares. The window has side lengths of 40 inches. The large glass squares have side lengths of 10 inches. Find the total area of the small glass squares.

Solution

Problem 10 :

A square vegetable garden has side lengths of 12 feet. You plant flowers in the center portion as shown. You divide the remaining space into 4 equal sections and plant tomatoes, onions, zucchini, and peppers. What is the area of the onion section?

Solution