Fact Family Worksheets
Free printable fact family worksheets. Three numbers in a triangle and four equations to write, with an answer key. Addition and subtraction.
A fact family is the four equations that connect three numbers: 3, 4 and 7 give 3 + 4 = 7, 4 + 3 = 7, 7 - 3 = 4 and 7 - 4 = 3. Each problem shows the three numbers in a triangle and leaves four blank lines to write the equations on.
This is how addition and subtraction are taught as two sides of the same relationship. A student who sees the family stops treating subtraction as a separate thing to learn. Tick Multiplication above for multiplication and division families instead.
What this worksheet covers
- Write the four addition and subtraction facts that connect three numbers
- Use an addition fact to find the matching subtraction facts
Common Core standards
- 1.OA.B.3 Apply properties of operations, such as the commutative property, as strategies to add and subtract.
- 1.OA.B.4 Understand subtraction as an unknown-addend problem.

Frequently asked questions
What is a fact family?
The set of equations that use the same three numbers. For 3, 4 and 7 that is two addition facts and two subtraction facts - four in all.
What grade are fact families?
First and second grade for addition and subtraction; third grade introduces multiplication and division families.
How do I get multiplication fact families?
Tick Multiplication in the operator bar above. The triangle then shows two factors and their product, and the four equations are two multiplications and two divisions.
Can I change the question type?
Yes - under Question, switch to Number bond for the drawn whole-and-parts diagram, or Find the missing part for the version stated in words.