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Grade 3 Math · Properties of Multiplication

Grade 3 Properties of Multiplication Practice Test

Build Grade 3 math skills with five 10-question practice tests on the commutative, associative, distributive, identity, and zero properties of multiplication.

Properties of Multiplication Practice Tests

These Grade 3 Math practice tests help students use multiplication properties to rewrite equations and solve products efficiently. Students explore the commutative, associative, distributive, identity, and zero properties.

Skills covered

  • Switching factors with the commutative property
  • Regrouping factors with the associative property
  • Breaking apart factors with the distributive property
  • Using the identity property when multiplying by one
  • Using the zero property when multiplying by zero
  • Choosing a useful property or strategy for a product

How to use these practice tests

Complete one 10-question test at a time. Look at the structure of each equation before calculating. If a product is difficult, switch, regroup, or break apart factors to use facts you know.

For more Grade 3 Math practice, return to the Grade 3 Math category.

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5 Tests
1. Test2. Test3. Test4. Test5. Test

4. Test

Grade 3 Properties of Multiplication Practice Tests

A 10-question Grade 3 Math practice test on the commutative, associative, distributive, identity, and zero properties of multiplication.

Read each multiplication properties question carefully. Look for switched factors, regrouped factors, broken-apart factors, multiplying by one, or multiplying by zero.

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

Which expression helps solve 6 × 7 by breaking apart 7?

Please select an answer first.

Correct answer: A

The correct answer is 6 × 5 + 6 × 2 = 42.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Breaking 7 into 5 + 2 gives 6 × 5 + 6 × 2 = 30 + 12 = 42.
  3. Check the choice: The correct choice is 6 × 5 + 6 × 2 = 42.

Breaking 7 into 5 + 2 gives 6 × 5 + 6 × 2 = 30 + 12 = 42.

2. QuestionMultiple choice

Which expression helps solve 4 × 8 by breaking apart 8?

Please select an answer first.

Correct answer: B

The correct answer is 4 × 5 + 4 × 3 = 32.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Breaking 8 into 5 + 3 gives 4 × 5 + 4 × 3 = 20 + 12 = 32.
  3. Check the choice: The correct choice is 4 × 5 + 4 × 3 = 32.

Breaking 8 into 5 + 3 gives 4 × 5 + 4 × 3 = 20 + 12 = 32.

3. QuestionMultiple choice

Which expression equals 7 × 6?

Please select an answer first.

Correct answer: C

The correct answer is 7 × 3 + 7 × 3 = 42.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Breaking 6 into 3 + 3 gives 7 × 3 + 7 × 3 = 21 + 21 = 42.
  3. Check the choice: The correct choice is 7 × 3 + 7 × 3 = 42.

Breaking 6 into 3 + 3 gives 7 × 3 + 7 × 3 = 21 + 21 = 42.

4. QuestionMultiple choice

Which expression helps solve 9 × 5?

Please select an answer first.

Correct answer: D

The correct answer is 9 × (2 + 3) = 45.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Breaking 5 into 2 + 3 gives 9 × 2 + 9 × 3 = 18 + 27 = 45.
  3. Check the choice: The correct choice is 9 × (2 + 3) = 45.

Breaking 5 into 2 + 3 gives 9 × 2 + 9 × 3 = 18 + 27 = 45.

5. QuestionMultiple choice

Which expression helps solve 8 × 6?

Please select an answer first.

Correct answer: A

The correct answer is 8 × 4 + 8 × 2 = 48.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Breaking 6 into 4 + 2 gives 8 × 4 + 8 × 2 = 32 + 16 = 48.
  3. Check the choice: The correct choice is 8 × 4 + 8 × 2 = 48.

Breaking 6 into 4 + 2 gives 8 × 4 + 8 × 2 = 32 + 16 = 48.

6. QuestionMultiple choice

Which expression helps solve 5 × 7?

Please select an answer first.

Correct answer: B

The correct answer is 5 × 5 + 5 × 2 = 35.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Breaking 7 into 5 + 2 gives 5 × 5 + 5 × 2 = 25 + 10 = 35.
  3. Check the choice: The correct choice is 5 × 5 + 5 × 2 = 35.

Breaking 7 into 5 + 2 gives 5 × 5 + 5 × 2 = 25 + 10 = 35.

7. QuestionMultiple choice

Which expression equals 3 × 9?

Please select an answer first.

Correct answer: C

The correct answer is 3 × 10 − 3 = 27.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Since 9 is 10 − 1, 3 × 9 = 3 × 10 − 3 = 30 − 3 = 27.
  3. Check the choice: The correct choice is 3 × 10 − 3 = 27.

Since 9 is 10 − 1, 3 × 9 = 3 × 10 − 3 = 30 − 3 = 27.

8. QuestionMultiple choice

Which expression helps solve 4 × 6?

Please select an answer first.

Correct answer: D

The correct answer is 4 × 3 + 4 × 3 = 24.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Breaking 6 into 3 + 3 gives 4 × 3 + 4 × 3 = 12 + 12 = 24.
  3. Check the choice: The correct choice is 4 × 3 + 4 × 3 = 24.

Breaking 6 into 3 + 3 gives 4 × 3 + 4 × 3 = 12 + 12 = 24.

9. QuestionMultiple choice

Which expression helps solve 7 × 8?

Please select an answer first.

Correct answer: A

The correct answer is 7 × 5 + 7 × 3 = 56.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Breaking 8 into 5 + 3 gives 7 × 5 + 7 × 3 = 35 + 21 = 56.
  3. Check the choice: The correct choice is 7 × 5 + 7 × 3 = 56.

Breaking 8 into 5 + 3 gives 7 × 5 + 7 × 3 = 35 + 21 = 56.

10. QuestionMultiple choice

Which expression helps solve 6 × 9?

Please select an answer first.

Correct answer: B

The correct answer is 6 × 10 − 6 = 54.

  1. Read the property clue: Identify whether the equation shows switching factors, regrouping factors, breaking apart a factor, multiplying by one, or multiplying by zero.
  2. Apply the property: Since 9 is 10 − 1, 6 × 9 = 6 × 10 − 6 = 60 − 6 = 54.
  3. Check the choice: The correct choice is 6 × 10 − 6 = 54.

Since 9 is 10 − 1, 6 × 9 = 6 × 10 − 6 = 60 − 6 = 54.

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Frequently asked questions about Grade 3 Properties of Multiplication

What is the commutative property?

The commutative property says that switching the order of the factors does not change the product, such as 3 × 4 = 4 × 3.

What is the distributive property?

The distributive property lets you break apart a factor, such as 6 × 7 = 6 × 5 + 6 × 2.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 3 Properties of Multiplication questions in total.