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Quizzes > High School Quizzes > Mathematics

Practice Quiz: Fact Families in Multiplication & Division

Engaging practice problems for multiplication and division mastery

Difficulty: Moderate
Grade: Grade 3
Study OutcomesCheat Sheet
Paper art illustrating a fast-paced Fact Family Frenzy quiz for elementary math students.

What number completes the fact family equation: 3 + __ = 7?
3
7
4
5
Since 3 + 4 equals 7, 4 is the missing number. This reinforces the connection between addition and its related subtraction fact (7 - 3 = 4).
Which number fits in the multiplication equation: 2 x __ = 10?
5
4
3
6
Multiplying 2 by 5 produces 10, so the missing number is 5. This is a basic multiplication fact that also connects to its division counterpart (10 ÷ 2 = 5).
Find the missing number in the subtraction equation: 7 - __ = 4.
3
5
2
4
Subtracting 3 from 7 gives 4, so the missing number is 3. This example also hints at the inverse operation since 4 + 3 equals 7.
Determine the missing number in the division equation: __ ÷ 2 = 3.
5
3
4
6
Since 6 divided by 2 equals 3, the missing number is 6. This division fact is linked with the multiplication fact 2 x 3 = 6.
Which of the following is NOT a correct equation in the fact family of 2, 3, and 6?
3 x 6 = 2
2 x 3 = 6
6 ÷ 2 = 3
6 ÷ 3 = 2
The equation '3 x 6 = 2' is incorrect because 3 multiplied by 6 equals 18, not 2. The other equations accurately represent the relationships within the fact family.
Find the missing number in the addition equation: __ + 8 = 15.
6
5
8
7
Since 7 + 8 equals 15, the missing number must be 7. This equation helps reinforce the idea of fact families in addition and subtraction.
Complete the multiplication equation: 4 x __ = 20.
5
6
8
4
Multiplying 4 by 5 yields 20, so the missing number is 5. This fact is an example of a basic multiplication fact family.
Identify the missing divisor in the division equation: 24 ÷ __ = 8.
3
6
4
2
Since 24 divided by 3 is 8, the missing number is 3. This division fact relates directly to the multiplication fact 3 x 8 = 24.
Which of the following is NOT a valid equation in the fact family of 9, 4, and 13?
13 - 4 = 9
9 + 4 = 13
9 - 4 = 5
13 - 9 = 4
In the fact family for 9, 4, and 13, the correct operations are 9 + 4 = 13, 13 - 9 = 4, and 13 - 4 = 9. The equation 9 - 4 = 5 is incorrect because 9 minus 4 equals 5, which does not belong to this fact family.
Determine the missing factor in the multiplication equation: __ x 3 = 15.
3
6
5
4
Since 5 multiplied by 3 equals 15, 5 is the missing factor. This demonstrates the relationship within the multiplication fact family.
Find the missing number in the division equation: 18 ÷ __ = 3.
6
12
3
9
Dividing 18 by 6 gives 3, so the missing number is 6. This fact is tied to the multiplication equation 6 x 3 = 18.
Which of the following addition equations is part of the fact family of 6, 7, and 13?
6 + 6 = 12
6 + 7 = 13
7 + 6 = 12
7 + 7 = 14
The equation 6 + 7 = 13 correctly represents the fact family for these numbers. The other options either contain incorrect sums or do not match the given fact family.
Which multiplication equation correctly corresponds to the division equation 8 ÷ 2 = 4?
8 x 4 = 12
2 x 4 = 8
4 x 8 = 32
8 x 2 = 16
Reversing the division equation, 2 multiplied by 4 gives 8, which is correct. This confirms the multiplication and division relationship in the fact family.
Find the missing number in the addition equation: 5 + __ = 12.
5
8
7
6
Since 5 plus 7 equals 12, the missing number is 7. This addition fact is part of the basic fact family paired with subtraction.
What number completes the division equation: __ ÷ 4 = 3?
9
8
11
12
Dividing 12 by 4 results in 3, so the missing number is 12. This reinforces the division-multiplication relationship where 3 x 4 equals 12.
In the fact family of 5, 6, and 30, which of the following equations is NOT valid?
30 ÷ 6 = 5
5 ÷ 6 = 30
5 x 6 = 30
30 ÷ 5 = 6
The equation '5 ÷ 6 = 30' is not valid because dividing 5 by 6 does not yield 30. The other equations correctly represent the relationships within the fact family.
Which of the following is NOT part of the fact family for 7, 8, and 15?
7 + 8 = 15
15 - 7 = 8
7 - 15 = 8
15 - 8 = 7
The operation '7 - 15 = 8' is incorrect because subtracting 15 from 7 does not yield a positive result within the fact family. The other equations accurately exhibit the relationships among 7, 8, and 15.
Which division equation correctly completes the fact family that includes 4 x 9 = 36?
36 ÷ 4 = 9
4 ÷ 9 = 36
9 ÷ 36 = 4
36 ÷ 9 = 8
Dividing 36 by 4 correctly gives 9, which fits perfectly into the fact family with 4, 9, and 36. This confirms the inverse relationship between multiplication and division.
Which of the following subtraction equations does NOT belong to the fact family comprising 10, 6, and 16?
10 - 16 = -6
16 - 6 = 10
16 - 10 = 6
10 + 6 = 16
The equation '10 - 16 = -6' does not belong because it produces a negative result that is not part of the fact family. The other equations correctly demonstrate the addition and subtraction relationships among 10, 6, and 16.
Which division equation correctly corresponds to the multiplication fact 3 x 12 = 36?
12 ÷ 36 = 3
3 ÷ 36 = 12
36 ÷ 12 = 4
36 ÷ 3 = 12
Dividing 36 by 3 gives 12, which is the correct division equation for the fact family that includes 3, 12, and 36. This operation confirms the inverse relationship between multiplication and division.
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Study Outcomes

  1. Understand the relationships between numbers in addition, subtraction, multiplication, and division fact families.
  2. Analyze fact family patterns to recognize how different operations connect.
  3. Apply learned computation strategies to solve fact family problems accurately.
  4. Evaluate quiz results to identify strengths and target areas for improvement.
  5. Reinforce fundamental arithmetic concepts through engaging, fast-paced practice.

Fact Families Quiz: Multiply & Divide Cheat Sheet

  1. Master Fact Families - A fact family is a trio of numbers that work together in multiplication and division. Once you see one fact, you unlock the entire family! Turito: Fact Families
  2. Inverse Operations - Multiplication and division are like best friends: doing one undoes the other. Knowing 6 × 4 = 24 means you instantly know 24 ÷ 4 = 6. Teach Starter: Inverse Ops
  3. Visualize with Arrays - Arrays are neat grids that show how numbers group or split. They turn abstract facts into colorful rectangles you can count! Sadlier: Using Arrays
  4. Know Your Division Parts - Division has three buddies: dividend, divisor, and quotient. In 32 ÷ 4 = 8, 32 is the dividend, 4 the divisor, and 8 the quotient. Turito: Division Terms
  5. Use Fact Family Triangles - Triangles show all four equations at a glance, making practice speedy. Draw, fill, and quiz yourself in seconds! Super Teacher Worksheets
  6. Build Fluency up to 12 - Memorizing facts up to 12×12 gives you super-speed in math races. The more you know, the faster you solve puzzles. Teach Starter: Fact Fluency
  7. Apply the Commutative Property - Flip your factors around and watch the product stay the same. 3 × 5 = 5 × 3 is a magic math trick! Teach Starter: Commutative Property
  8. Think Division as Missing Factor - To solve 32 ÷ 8, ask "8 × what equals 32?" Finding that missing piece makes division click. Teach Starter: Unknown Factor
  9. Create Word Problems - Turn real-life scenarios into multiplication/division puzzles. Writing and solving them helps you see math everywhere! Sadlier: Word Problems
  10. Play Games & Activities - Reinforce fact families through memory games, quizzes, and challenges. Learning feels like play when points and smiles are involved. Teach Starter: Memory Game
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