Grade 5 Math · Order of Operations: Introduction

Grade 5 Order of Operations: Introduction Practice Test

Build Grade 5 Math skills with five 10-question practice tests introducing parentheses, multiplication and division priority, left-to-right evaluation, and real-world expressions.

Order of Operations Introduction Practice Tests

These Grade 5 Math practice tests introduce the order used to evaluate numerical expressions. Students practice grouping symbols, multiplication and division before addition and subtraction, left-to-right evaluation for operations with equal priority, and translating word problems into expressions.

Skills covered

  • Evaluating parentheses and other grouping symbols first
  • Completing multiplication and division before addition and subtraction
  • Working left to right when operations share the same priority
  • Comparing expressions with and without parentheses
  • Finding missing values in expressions
  • Writing expressions for multi-step word problems

How to use these practice tests

Mark the grouping symbols first, then complete multiplication or division, and finish with addition or subtraction. Write each intermediate result so you can check whether the expression was evaluated in the intended order.

For more Grade 5 Math practice, return to the Grade 5 Math category.

3. Test

Grade 5 Order of Operations Introduction Practice Tests

A 10-question Grade 5 Math practice test introducing the order of operations, parentheses, multiplication and division priority, left-to-right evaluation, and word problems.

Evaluate grouping symbols first, then multiplication and division, then addition and subtraction. Work left to right when operations share the same priority.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is 48÷8×348 \div 8 \times 3?

Please select an answer first.

Correct answer: A

The correct answer is 18.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Work left to right for division and multiplication: 48 ÷ 8 = 6, then 6 × 3 = 18.
  3. Check the choice: The correct choice is 18.

Work left to right for division and multiplication: 48 ÷ 8 = 6, then 6 × 3 = 18.

2. QuestionMultiple choice

What is 6×4÷36 \times 4 \div 3?

Please select an answer first.

Correct answer: B

The correct answer is 8.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Work left to right: 6 × 4 = 24, then 24 ÷ 3 = 8.
  3. Check the choice: The correct choice is 8.

Work left to right: 6 × 4 = 24, then 24 ÷ 3 = 8.

3. QuestionMultiple choice

What is 20−8+520 - 8 + 5?

Please select an answer first.

Correct answer: C

The correct answer is 17.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Subtraction and addition have the same priority: 20 − 8 = 12, then 12 + 5 = 17.
  3. Check the choice: The correct choice is 17.

Subtraction and addition have the same priority: 20 − 8 = 12, then 12 + 5 = 17.

4. QuestionMultiple choice

What is 15+9−415 + 9 - 4?

Please select an answer first.

Correct answer: D

The correct answer is 20.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Work left to right: 15 + 9 = 24, then 24 − 4 = 20.
  3. Check the choice: The correct choice is 20.

Work left to right: 15 + 9 = 24, then 24 − 4 = 20.

5. QuestionMultiple choice

What is 36÷(3×2)36 \div (3 \times 2)?

Please select an answer first.

Correct answer: A

The correct answer is 6.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Multiply inside the parentheses: 3 × 2 = 6, then 36 ÷ 6 = 6.
  3. Check the choice: The correct choice is 6.

Multiply inside the parentheses: 3 × 2 = 6, then 36 ÷ 6 = 6.

6. QuestionMultiple choice

What is (12+8)÷4(12 + 8) \div 4?

Please select an answer first.

Correct answer: B

The correct answer is 5.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Add 12 + 8 = 20, then divide 20 ÷ 4 = 5.
  3. Check the choice: The correct choice is 5.

Add 12 + 8 = 20, then divide 20 ÷ 4 = 5.

7. QuestionMultiple choice

Compare 4+3×24 + 3 \times 2 and (4+3)×2(4 + 3) \times 2.

Please select an answer first.

Correct answer: C

The correct answer is The parenthesized expression is 4 greater..

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: The first expression is 10 and the second is 14, so the parenthesized expression is 4 greater.
  3. Check the choice: The correct choice is The parenthesized expression is 4 greater..

The first expression is 10 and the second is 14, so the parenthesized expression is 4 greater.

8. QuestionMultiple choice

What number makes 5+3×□=145 + 3 \times \square = 14 true?

Please select an answer first.

Correct answer: D

The correct answer is 3.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Subtract 5 to get 9, then divide by 3: the missing number is 3.
  3. Check the choice: The correct choice is 3.

Subtract 5 to get 9, then divide by 3: the missing number is 3.

9. QuestionMultiple choice

What is 2×(5+4)−32 \times (5 + 4) - 3?

Please select an answer first.

Correct answer: A

The correct answer is 15.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Add 5 + 4 = 9, multiply 2 × 9 = 18, then subtract 3 to get 15.
  3. Check the choice: The correct choice is 15.

Add 5 + 4 = 9, multiply 2 × 9 = 18, then subtract 3 to get 15.

10. QuestionMultiple choice

What should you do when multiplication and division appear together?

Please select an answer first.

Correct answer: B

The correct answer is Work from left to right after handling any grouping symbols..

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Multiplication and division share the same priority, so evaluate them from left to right.
  3. Check the choice: The correct choice is Work from left to right after handling any grouping symbols..

Multiplication and division share the same priority, so evaluate them from left to right.

Frequently asked questions about Grade 5 Order of Operations: Introduction

What is the order of operations?

Evaluate grouping symbols first, then multiplication and division, and finally addition and subtraction. Work left to right when operations have the same priority.

Why do parentheses matter?

Parentheses group an operation so that it is completed before the operations outside the parentheses.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 5 Order of Operations questions in total.