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 |

[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,

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 |

[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 |

[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 |

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 |

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 |

[By trail and error method.]

[By trail.]

[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 |

[Given.]

The amount left with Emily after giving to Sara and Rita = [2400 - ({2400 ×

= $1300.

[Use order of operations to simplify.]

Correct answer : (4)

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 |

Breadth of the rectangle = 12 ×

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 |

[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 |

[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)

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