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Fact Families - Printable Math Worksheets kindergarten - Wayground

Fact Families

Gurpreet Dosanjh [Cox, Clyde ES]

Created by Gurpreet Dosanjh [Cox, Clyde ES]

20 questions

4th Grade

Math

Updated Dec 2025

Fact Families is a Grade 4 mathematics worksheet that helps students connect related addition and subtraction equations. Across 20 questions—18 multiple-choice and 2 multiple-select—students complete fact families, find missing numbers in equations such as 7 + ___ = 10, identify number sentences belonging to a given family, and select every equation related to a calculation. This free printable worksheet with an answer key gives students focused practice using the same three numbers to represent inverse addition and subtraction relationships. It is useful for independent work, math-center practice, review, or checking whether students can recognize all valid equations rather than solve only one calculation. The multiple-select items also require students to evaluate several equations and distinguish correct relationships from distractors.

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Fact Families

Total questions: 20

Name
Class
Date
1.
Complete the fact family

Complete the fact family

a)

6×18=36\times18=3

b)

3÷18=63\div18=6

c)

18×3=618\times3=6

d)

18÷6=318\div6=3

2.

Which number is missing from this fact family?

7+______=10

a)

4

b)

2

c)

3

d)

17

3.
Complete the fact family

Complete the fact family

a)

5÷35=75\div35=7

b)

35×5=735\times5=7

c)

35÷7=535\div7=5

d)

7÷5=357\div5=35

4.
Complete the fact family.

Complete the fact family.

a)

3×9=273\times9=27

b)

27×3=927\times3=9

c)

9÷27=39\div27=3

d)

27×9=327\times9=3

5.
Complete the fact family.

Complete the fact family.

a)

48×8=648\times8=6

b)

8÷48=68\div48=6

c)

6×8=486\times8=48

d)

6×48=86\times48=8

6.
Complete the fact family.

Complete the fact family.

a)

30÷10=330\div10=3

b)

10÷3=3010\div3=30

c)

30×3=1030\times3=10

d)

3÷30=103\div30=10

7.
Complete the fact family.

Complete the fact family.

a)

14÷28=214\div28=2

b)

28×2=1428\times2=14

c)

14÷2=2814\div2=28

d)

28÷2=1428\div2=14

8.
Complete the fact family.

Complete the fact family.

a)

24×6=424\times6=4

b)

4×6=244\times6=24

c)

6÷4=246\div4=24

d)

6÷24=46\div24=4

9.
Complete the fact family.

Complete the fact family.

a)

13×2=2613\times2=26

b)

26×13=226\times13=2

c)

2×26=132\times26=13

d)

13÷26=213\div26=2

10.
Complete the fact family.

Complete the fact family.

a)

9÷8=729\div8=72

b)

9÷72=89\div72=8

c)

72×9=872\times9=8

d)

72÷8=972\div8=9

11.
Complete the fact family.

Complete the fact family.

a)

9÷8=729\div8=72

b)

72÷8=972\div8=9

c)

72×9=872\times9=8

d)

9÷72=89\div72=8

12.
Which number is missing from this fact family?
4+______=11
a)
6
b)
7
c)
15
d)
9
13.
Select all the correct equations that relate to this calculation...

Select all the correct equations that relate to this calculation...

a)

7 + 5 = 12

b)

12 - 7 = 5

c)

12 + 7 = 5

d)

7 - 5 = 12

e)

12 - 5 = 7

14.
Select all the correct equations that relate to this calculation...

Select all the correct equations that relate to this calculation...

a)

8 + 2 = 10

b)

2 + 6 = 8

c)

6 + 2 = 8

d)

2 + 8 = 6

e)

2 = 8 - 6

15.
Which number sentence is apart of this fact family?
5 + 3 = 8
3 + 5 = 8
8 - 3 = 5
a)
8 - 5 = 3
b)
5 + 4 = 9
c)
9 - 7 = 2
16.

What number sentence is missing from this fact family?

8+2=10

10-2=8

10-8=2

a)

10+2=12

b)

2+8=10

c)

1+8=10

d)

2+8=11

17.
Complete the fact family.
3 x 4 = ____
4 x 3 = 12
12 ÷ 3 = 4
12 ÷ 4 = 3
a)
2
b)
3
c)
12
d)
4
18.

Which is a related fact 7 x 4 =28?

a)

28 ÷ 4 = 7

b)

24 ÷ 3 = 8

c)

8 ÷ 2 = 4

d)

7 + 4 = 11

19.
Which is NOT in the same fact family as 2 x 4 = 8?

Which is NOT in the same fact family as 2 x 4 = 8?

a)

4 x 2

b)

8 ÷ 2

c)

8 x 2

d)

8 ÷ 4

20.

Which related fact does NOT belong?

a)

6 x 3 = 18

b)

18 ÷ 3 = 6

c)

18 + 3 = 21

d)

3 x 6 = 18

WaygroundAnswer Key

Fact Families

Total questions: 20

1.
d)

18÷6=318\div6=3

2.
c)

3

3.
c)

35÷7=535\div7=5

4.
a)

3×9=273\times9=27

5.
c)

6×8=486\times8=48

6.
a)

30÷10=330\div10=3

7.
d)

28÷2=1428\div2=14

8.
b)

4×6=244\times6=24

9.
a)

13×2=2613\times2=26

10.
d)

72÷8=972\div8=9

11.
b)

72÷8=972\div8=9

12.
b) 7
13.
a)

7 + 5 = 12

, b)

12 - 7 = 5

, e)

12 - 5 = 7

14.
b)

2 + 6 = 8

, c)

6 + 2 = 8

, e)

2 = 8 - 6

15.
a) 8 - 5 = 3
16.
b)

2+8=10

17.
c) 12
18.
a)

28 ÷ 4 = 7

19.
c)

8 x 2

20.
c)

18 + 3 = 21

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FAQs

What does the Fact Families worksheet cover?

This Grade 4 math worksheet covers completing addition and subtraction fact families, finding missing numbers, and identifying all equations that use the same three numbers. Its 20 items include 18 multiple-choice questions and 2 multiple-select questions, so students practice both generating related equations and evaluating several possible number sentences.

How can I use this worksheet to teach addition and subtraction fact families?

Begin by modeling one addition fact and its related subtraction facts, emphasizing that the same three numbers stay connected while the operation and order change. Then have students complete the fact-family items and explain why each selected equation belongs to the same family, using the multiple-select questions to discuss why incorrect equations do not match.

What mistakes should I watch for when students complete this fact-families worksheet?

Students may treat addition and subtraction equations as unrelated, reverse the numbers incorrectly, or choose an equation with the wrong total—for example, selecting a number other than 3 for 7 + ___ = 10. In the multiple-select items, watch for students who choose only one correct equation or accept a distractor without checking whether all three numbers and the operation are consistent.

How do I assign and grade the Fact Families worksheet?

You can assign this Fact Families worksheet as a printable PDF or as a digital quiz on Wayground, and it includes a complete answer key for checking the missing-number, fact-family, and multiple-select responses. For printable submissions, scan student work with the Wayground for Teachers app to grade it efficiently.

How can I differentiate this fact-families worksheet for my students?

For the equation-heavy items and answer choices, open the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size for easier visual tracking. You can also select a dyslexia-friendly font or translate the worksheet into another language when those file-level options support students working with the fact-family equations.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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