Maths · Kindergarten–Grade 3
Free fact families worksheets
Free printable fact families worksheets for kindergarten to grade 3: addition and subtraction triangles within 10 and 20, missing number, houses, multiplication and division triangles for tables 2 to 10, blank template. Answer keys.
Fact family triangles: add and subtract within 10
Twelve triangles with two parts and a whole to 10; write all four facts under each. Answer key on page 2. Free printable PDF.
Fact family triangles: add and subtract within 20
Twelve triangles with wholes to 20; write the four related facts. Answer key on page 2. Free printable PDF.
Whole set
All 8 in one PDF
- Every sheet on this page, one file
- No ads, no countdowns, print as often as you like
- Instant download, ad-free, no account needed
Fact families: find the missing number
Sixteen triangles each missing a part or the whole; add or subtract to find it. Answer key on page 2. Free printable PDF.
Fact family houses (addition and subtraction)
Eight houses with three numbers on the roof and four lines for the facts inside. Answer key on page 2. Free printable PDF.
Fact family triangles: multiply and divide, tables 2 to 5
Twelve triangles with two factors and their product from the 2 to 5 times tables; write four facts. Answer key on page 2. Free printable PDF.
Fact family triangles: multiply and divide, tables 6 to 10
Twelve triangles with factors from the 6 to 10 times tables; write four facts. Answer key on page 2. Free printable PDF.
Write the fact family from one fact
Twelve multiplication facts; write the turnaround fact and the two division facts for each. Answer key on page 2. Free printable PDF.
Blank fact family houses template
Six empty houses (four for add and subtract, two for multiply and divide) and a box explaining how fact families work. Free printable PDF.
AI worksheet generator
Make a worksheet like this for your class
The 8 sheets above are fixed. The generator writes a new fact families worksheet for your grade, with the question types and count you choose, in about 20 seconds. Pick a grade to start:
What you get
- A fresh set of questions on fact families, not a copy of the sheets above
- Multiple choice, fill in the blanks, true or false, open ended
- Answer key and print-ready PDF with Pro
Free account, 1 worksheets a week. No card.
A fact family is three numbers and the four facts they make: 3, 4 and 7 give 3 + 4 = 7, 4 + 3 = 7, 7 − 3 = 4 and 7 − 4 = 3. Children who see facts in families learn subtraction as the undoing of addition instead of as a separate list, and later learn division the same way from multiplication. These eight worksheets use the two classic layouts, the triangle (whole on top, parts below) and the house (three numbers on the roof, four facts inside), moving from sums within 10 through sums within 20 to the multiplication tables from 2 to 10. Every sheet with answers has a key on page 2, and the last sheet is a blank template for any numbers you choose.
What's in this set
- Fact family triangles within 10. Twelve triangles; write the two additions and two subtractions under each.
- Fact family triangles within 20. Twelve triangles with wholes to 20.
- Find the missing number. Sixteen triangles each missing a part or the whole; add or subtract to fill it.
- Fact family houses. Eight houses with three numbers on the roof and four lines inside.
- Multiplication fact families, tables 2 to 5. Twelve triangles: product on top, factors below; write two multiplications and two divisions.
- Multiplication fact families, tables 6 to 10. Twelve triangles from the harder tables.
- Write the fact family from one fact. Given 7 × 8 = 56, write the other three.
- Blank fact family houses. Six empty houses (four for add and subtract, two for multiply and divide) plus a box explaining how families work.
Free printable makers
Make your own fact families sheets
Type your own words or numbers and print in about 30 seconds. No account, no AI, answer key where it applies.
Addition and subtraction generatorColumn add and subtract, regrouping you control, boxes and key. Free to print.
Math fact worksheet generatorAddition to division drills with an answer key. Free to print.
Flashcard makerVocabulary, math fact or sight word cards, 2-8 a page, two-sided or fold-over. Free to print.
AI worksheet generator
Need a different fact families worksheet?
Generate a custom fact families worksheet: pick the grade, question types and count, and print it in about 20 seconds. Free accounts get 1 generation a week.
Teaching tips and common mistakes
How to use these worksheets
Say the facts out loud as they are written; the rhythm ("three plus four is seven, four plus three is seven...") is half of the learning. One sheet a day is plenty.
- Triangles within 10 and 20. Point to the top number and say "this is the whole". Cover it with a finger: the two parts are left, so the parts add up to it. Cover a part: the whole minus the other part gives it. Then write the four facts.
- Find the missing number. The rule is on the sheet: missing top, add the parts; missing part, subtract. Have the child say which case each triangle is before writing.
- Fact family houses. Same idea, different picture. Some children prefer the house because the four facts line up like a list.
- Multiplication triangles. Now the top is a product and the bottom numbers are factors. The turnaround fact (4 × 3 for 3 × 4) is the one children skip; make sure all four appear.
- From one fact. This is the sheet that shows the payoff: one known fact gives three more for free. Time it and watch the speed grow over a week.
- Blank houses. Let the child choose the three numbers. Choosing numbers that do not belong together (say 3, 5 and 9) and finding out why is a useful conversation.
Common mistakes to watch for
- Subtracting the whole from a part. "3 − 7" appears when the child is copying positions rather than thinking. Go back to covering the numbers with a finger.
- Writing the same fact twice. 3 + 4 and 4 + 3 are two facts; 3 + 4 written twice is not. Check that each fact starts with a different number or sign.
- Mixing operations. On the multiplication sheets the signs are × and ÷ only; a stray plus means the child has slipped back to the addition pattern.
- Racing. Twelve triangles are 48 facts. If the writing gets sloppy halfway, stop and finish tomorrow.
Frequently asked questions
What grade are fact family worksheets for?
Kindergarten and grade 1 for the triangles within 10 (K.OA.3, 1.OA.4), grade 1 and 2 for within 20 and the missing number sheets (1.OA.6, 2.OA.2), and grade 3 for the multiplication and division families (3.OA.6). The blank template works at any level.
Why teach subtraction with fact families?
Because every subtraction fact is an addition fact turned around, so a child who knows 6 + 8 = 14 does not need to memorize 14 − 8 separately. The same is true for division and multiplication. Fact families halve the number of things to remember.
Do the worksheets have answer keys?
Yes, seven of the eight have the four facts (or the missing number) printed on page 2. The blank template has nothing to mark.
What is the difference between fact families and number bonds?
A number bond shows one whole split into two parts (a picture of the relationship); a fact family lists the four equations that relationship produces. Our number bonds worksheets come first, these sheets turn the bonds into written facts.
More practice
Before fact families: number bonds and doubles addition. Alongside them: addition and subtraction worksheets for practice, the 2 times table and the multiplication chart for the multiplication sheets, and division facts once the families are known. To put the facts to work, try the math word problems worksheets and, for a different kind of number line, the elapsed time worksheets.
Free library
Related collections
Free number bonds worksheets
Free subtraction worksheets (within 10 and 20)
Free doubles addition worksheets
Free addition worksheets
Free math word problems worksheets (grades 1 to 5)
Free printable multiplication charts
Free 2 times table worksheets
Free Valentine math worksheets
More worksheets
- Free rekenrek worksheets
- Free Montessori geometric solids worksheets
- Free Montessori addition strip board worksheets
- Free 100th day of school worksheets
- Free winter break packet worksheets
- Free Thanksgiving math worksheets
- Free greater than less than worksheets
- Free number line printables
- Free Halloween math worksheets
- Free Christmas math worksheets
- Free hundreds chart worksheets
- Free ten frame worksheets