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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.

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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

Three boxes each contain 4 pencils, and 2 extra pencils are added. Which expression gives the total?

Please select an answer first.

Correct answer: A

The correct answer is 3×4+23 \times 4 + 2.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Multiply the pencils in the boxes and then add the extras: 3 × 4 + 2.
  3. Check the choice: The correct choice is 3×4+23 \times 4 + 2.

Multiply the pencils in the boxes and then add the extras: 3 × 4 + 2.

2. QuestionMultiple choice

Twenty-four cards are shared equally among 6 players, then each player gets 3 bonus cards. How many cards does each player get?

Please select an answer first.

Correct answer: B

The correct answer is 7.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: First find 24 ÷ 6 = 4 cards per player, then add 3 bonus cards: 4 + 3 = 7.
  3. Check the choice: The correct choice is 7.

First find 24 ÷ 6 = 4 cards per player, then add 3 bonus cards: 4 + 3 = 7.

3. QuestionMultiple choice

A meal costs 4 dollars and 3 drinks cost 2 dollars each. What is the total cost?

Please select an answer first.

Correct answer: C

The correct answer is 10 dollars.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: The drinks cost 3 × 2 = 6 dollars; add 4 dollars for a total of 10 dollars.
  3. Check the choice: The correct choice is 10 dollars.

The drinks cost 3 × 2 = 6 dollars; add 4 dollars for a total of 10 dollars.

4. QuestionMultiple choice

A club has 30 points and loses the sum of 5 points and 2 groups of 3 points. How many points remain?

Please select an answer first.

Correct answer: D

The correct answer is 19.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: The loss is 5 + 2 × 3 = 11, so 30 − 11 = 19.
  3. Check the choice: The correct choice is 19.

The loss is 5 + 2 × 3 = 11, so 30 − 11 = 19.

5. QuestionMultiple choice

Four rows have 5 chairs each, and 2 chairs are added to every row. Which expression gives the total?

Please select an answer first.

Correct answer: A

The correct answer is 4×(5+2)4 \times (5 + 2).

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Each row has 5 + 2 = 7 chairs, so 4 × 7 = 4 × (5 + 2).
  3. Check the choice: The correct choice is 4×(5+2)4 \times (5 + 2).

Each row has 5 + 2 = 7 chairs, so 4 × 7 = 4 × (5 + 2).

6. QuestionMultiple choice

What is twice the sum of 5 and 4?

Please select an answer first.

Correct answer: B

The correct answer is 18.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Find the sum first: 5 + 4 = 9; twice 9 is 2 × 9 = 18.
  3. Check the choice: The correct choice is 18.

Find the sum first: 5 + 4 = 9; twice 9 is 2 × 9 = 18.

7. QuestionMultiple choice

Forty items are split into 5 equal groups, then 2 items are removed from one group. How many remain in that group?

Please select an answer first.

Correct answer: C

The correct answer is 6.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Divide first: 40 ÷ 5 = 8, then subtract 2 to get 6.
  3. Check the choice: The correct choice is 6.

Divide first: 40 ÷ 5 = 8, then subtract 2 to get 6.

8. QuestionMultiple choice

What is 12+6÷312 + 6 \div 3?

Please select an answer first.

Correct answer: D

The correct answer is 14.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Divide first: 6 ÷ 3 = 2, then 12 + 2 = 14.
  3. Check the choice: The correct choice is 14.

Divide first: 6 ÷ 3 = 2, then 12 + 2 = 14.

9. QuestionMultiple choice

About what is 5×6+15 \times 6 + 1?

Please select an answer first.

Correct answer: A

The correct answer is 31.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: The exact value is 30 + 1 = 31, so 31 is a reasonable estimate.
  3. Check the choice: The correct choice is 31.

The exact value is 30 + 1 = 31, so 31 is a reasonable estimate.

10. QuestionMultiple choice

Six packs contain 4 markers each, and 3 extra markers are added. Which expression gives the total?

Please select an answer first.

Correct answer: B

The correct answer is 6×4+36 \times 4 + 3.

  1. Identify the priority: Look for parentheses, multiplication or division, and addition or subtraction.
  2. Evaluate and check: Multiply the markers in the packs and then add the extras: 6 × 4 + 3.
  3. Check the choice: The correct choice is 6×4+36 \times 4 + 3.

Multiply the markers in the packs and then add the extras: 6 × 4 + 3.

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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.