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.

2. 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 12+5−312 + 5 - 3?

Please select an answer first.

Correct answer: A

The correct answer is 14.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Addition and subtraction have the same priority, so work left to right: 12 + 5 = 17, then 17 − 3 = 14.
  3. Check the choice: The correct choice is 14.

Addition and subtraction have the same priority, so work left to right: 12 + 5 = 17, then 17 − 3 = 14.

2. QuestionMultiple choice

What is 7+2×57 + 2 \times 5?

Please select an answer first.

Correct answer: B

The correct answer is 17.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Multiply first: 2 × 5 = 10, then 7 + 10 = 17.
  3. Check the choice: The correct choice is 17.

Multiply first: 2 × 5 = 10, then 7 + 10 = 17.

3. QuestionMultiple choice

What is 24÷6+3×224 \div 6 + 3 \times 2?

Please select an answer first.

Correct answer: C

The correct answer is 10.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Complete division and multiplication first: 24 ÷ 6 = 4 and 3 × 2 = 6; then 4 + 6 = 10.
  3. Check the choice: The correct choice is 10.

Complete division and multiplication first: 24 ÷ 6 = 4 and 3 × 2 = 6; then 4 + 6 = 10.

4. QuestionMultiple choice

What is 24÷(6+2)24 \div (6 + 2)?

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: Add inside the parentheses: 6 + 2 = 8, then 24 ÷ 8 = 3.
  3. Check the choice: The correct choice is 3.

Add inside the parentheses: 6 + 2 = 8, then 24 ÷ 8 = 3.

5. QuestionMultiple choice

What is 4×(3+2)−14 \times (3 + 2) - 1?

Please select an answer first.

Correct answer: A

The correct answer is 19.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Evaluate 3 + 2 = 5, multiply 4 × 5 = 20, then subtract 1 to get 19.
  3. Check the choice: The correct choice is 19.

Evaluate 3 + 2 = 5, multiply 4 × 5 = 20, then subtract 1 to get 19.

6. QuestionMultiple choice

What is 30−(4+2×3)30 - (4 + 2 \times 3)?

Please select an answer first.

Correct answer: B

The correct answer is 20.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Multiply first inside the parentheses: 2 × 3 = 6; 4 + 6 = 10; 30 − 10 = 20.
  3. Check the choice: The correct choice is 20.

Multiply first inside the parentheses: 2 × 3 = 6; 4 + 6 = 10; 30 − 10 = 20.

7. QuestionMultiple choice

What is (8+4)÷3(8 + 4) \div 3?

Please select an answer first.

Correct answer: C

The correct answer is 4.

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

Add 8 + 4 = 12, then divide 12 ÷ 3 = 4.

8. QuestionMultiple choice

What is 5+18÷(3×2)5 + 18 \div (3 \times 2)?

Please select an answer first.

Correct answer: D

The correct answer is 8.

  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; 18 ÷ 6 = 3; then 5 + 3 = 8.
  3. Check the choice: The correct choice is 8.

Multiply inside the parentheses: 3 × 2 = 6; 18 ÷ 6 = 3; then 5 + 3 = 8.

9. QuestionMultiple choice

What is 2×(7−3)+52 \times (7 - 3) + 5?

Please select an answer first.

Correct answer: A

The correct answer is 13.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Subtract 7 − 3 = 4, multiply 2 × 4 = 8, then add 5 to get 13.
  3. Check the choice: The correct choice is 13.

Subtract 7 − 3 = 4, multiply 2 × 4 = 8, then add 5 to get 13.

10. QuestionMultiple choice

Why can parentheses change the value of an expression?

Please select an answer first.

Correct answer: B

The correct answer is They can make an addition or subtraction happen before multiplication or division..

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Grouping symbols identify the part that must be evaluated first.
  3. Check the choice: The correct choice is They can make an addition or subtraction happen before multiplication or division..

Grouping symbols identify the part that must be evaluated first.

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.