Free Printable Fact Family Worksheets

A fact family is the set of facts made from the same three numbers: 3 + 4 = 7, 4 + 3 = 7, 7 − 3 = 4 and 7 − 4 = 3. These sheets give the three numbers in a triangle and ask for all four facts: addition and subtraction families for 1st and 2nd grade, then multiplication and division families for 3rd. Every sheet has its answer key on the second page.

Fact Families to 10 printable preview

Fact Families to 10

Grade 1

Six number triangles with sums to 10. Write the four facts for each. Includes answer key.

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Fact Families to 20 printable preview

Fact Families to 20

Grades 1–2

Six number triangles with sums from 12 to 17. Write the four facts for each. Includes answer key.

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Number Bonds to 10 printable preview

Number Bonds to 10

Grades K–1

Twelve number bonds with one number missing. Includes answer key.

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Multiplication and Division Fact Families: Set A printable preview

Multiplication and Division Fact Families: Set A

Grade 3

A how-it-works box with an array, then six triangles with 2s, 3s, 4s, 5s and 10s. Write two multiplication and two division facts for each. Includes answer key.

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Multiplication and Division Fact Families: Set B printable preview

Multiplication and Division Fact Families: Set B

Grade 3

Nine triangles with 6s, 7s, 8s and 9s. Write the four facts for each family. Includes answer key.

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Fact Families: Missing Numbers printable preview

Fact Families: Missing Numbers

Grade 3

Find the missing corner of a triangle, finish a family, use multiplication to divide, and write the two facts of a doubles family. Includes answer key.

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Practice the facts with a game

One-page games for two players: print, grab two colored pencils, and play. No cutting.

Addition and Subtraction Games Pack. 31 games for grades 1-2, from within 10 to sums to 20. See the games

Get the pack: $7

Multiplication Games Pack. 35 games for every times table, 2 to 12. See the games

Get the pack: $7

About the Fact Family Worksheets

In each triangle, the number at the top is the whole and the two numbers at the bottom are the parts. The parts add up to the whole, in either order, which gives two addition facts. Taking either part away from the whole leaves the other part, which gives two subtraction facts.

Fact families are how children learn that subtraction is addition turned around. A child who knows 8 + 6 = 14 and sees it as a family does not need to work out 14 − 6 separately.

Number bonds show the same idea with circles: one whole and its two parts. They usually come first, in kindergarten and early 1st grade, before the four facts are written out.

In 3rd grade the same idea returns with multiplication and division. The top of the triangle is now the product, and the two numbers at the bottom are the factors: 3, 4 and 12 give 3 × 4 = 12, 4 × 3 = 12, 12 ÷ 3 = 4 and 12 ÷ 4 = 3. Set A uses the easier tables, Set B the 6s to 9s, and the missing numbers sheet asks children to use a multiplication fact they know to answer a division fact.

For more practice, see the addition, subtraction, multiplication and division worksheets.

Frequently Asked Questions

What is a fact family?
A fact family is a group of related addition and subtraction facts that use the same three numbers. For 3, 4 and 7 the family is 3 + 4 = 7, 4 + 3 = 7, 7 − 3 = 4 and 7 − 4 = 3.
What grade are fact families taught in?
Addition and subtraction fact families are mostly 1st grade, with number bonds starting in kindergarten and families to 20 continuing into 2nd grade. Multiplication and division fact families are taught in 3rd grade.
What is a multiplication and division fact family?
It is the four facts made from two factors and their product. For 6, 7 and 42 the family is 6 × 7 = 42, 7 × 6 = 42, 42 ÷ 6 = 7 and 42 ÷ 7 = 6. Knowing one of them gives you the other three.
How many facts are in a fact family?
Four when the two smaller numbers are different. A doubles family has only two: 5, 5 and 10 give 5 + 5 = 10 and 10 − 5 = 5, and 6, 6 and 36 give 6 × 6 = 36 and 36 ÷ 6 = 6.