Addition fact families to 10
There are 25 addition and subtraction fact families with a whole of 10 or less. See every one with its triangle and four facts, from 1, 1 and 2 to 5, 5 and 10.
There are 25 addition and subtraction fact families with a whole of 10 or less, if both parts must be at least 1. Each family below is shown as a triangle with its four facts. Families such as 5, 5 and 10 have only two different facts.
All addition fact families to 10
The families are grouped by the whole. Find the whole you need, then read across the parts.
Fact families that make 2
- 1 + 1 = 2
- 2 − 1 = 1
Fact families that make 3
- 1 + 2 = 3
- 2 + 1 = 3
- 3 − 1 = 2
- 3 − 2 = 1
Fact families that make 4
- 1 + 3 = 4
- 3 + 1 = 4
- 4 − 1 = 3
- 4 − 3 = 1
- 2 + 2 = 4
- 4 − 2 = 2
Fact families that make 5
- 1 + 4 = 5
- 4 + 1 = 5
- 5 − 1 = 4
- 5 − 4 = 1
- 2 + 3 = 5
- 3 + 2 = 5
- 5 − 2 = 3
- 5 − 3 = 2
Fact families that make 6
- 1 + 5 = 6
- 5 + 1 = 6
- 6 − 1 = 5
- 6 − 5 = 1
- 2 + 4 = 6
- 4 + 2 = 6
- 6 − 2 = 4
- 6 − 4 = 2
- 3 + 3 = 6
- 6 − 3 = 3
Fact families that make 7
- 1 + 6 = 7
- 6 + 1 = 7
- 7 − 1 = 6
- 7 − 6 = 1
- 2 + 5 = 7
- 5 + 2 = 7
- 7 − 2 = 5
- 7 − 5 = 2
- 3 + 4 = 7
- 4 + 3 = 7
- 7 − 3 = 4
- 7 − 4 = 3
Fact families that make 8
- 1 + 7 = 8
- 7 + 1 = 8
- 8 − 1 = 7
- 8 − 7 = 1
- 2 + 6 = 8
- 6 + 2 = 8
- 8 − 2 = 6
- 8 − 6 = 2
- 3 + 5 = 8
- 5 + 3 = 8
- 8 − 3 = 5
- 8 − 5 = 3
- 4 + 4 = 8
- 8 − 4 = 4
Fact families that make 9
- 1 + 8 = 9
- 8 + 1 = 9
- 9 − 1 = 8
- 9 − 8 = 1
- 2 + 7 = 9
- 7 + 2 = 9
- 9 − 2 = 7
- 9 − 7 = 2
- 3 + 6 = 9
- 6 + 3 = 9
- 9 − 3 = 6
- 9 − 6 = 3
- 4 + 5 = 9
- 5 + 4 = 9
- 9 − 4 = 5
- 9 − 5 = 4
Fact families that make 10
- 1 + 9 = 10
- 9 + 1 = 10
- 10 − 1 = 9
- 10 − 9 = 1
- 2 + 8 = 10
- 8 + 2 = 10
- 10 − 2 = 8
- 10 − 8 = 2
- 3 + 7 = 10
- 7 + 3 = 10
- 10 − 3 = 7
- 10 − 7 = 3
- 4 + 6 = 10
- 6 + 4 = 10
- 10 − 4 = 6
- 10 − 6 = 4
- 5 + 5 = 10
- 10 − 5 = 5
Making 10
The most useful facts in this list are the pairs that make 10: 1 + 9, 2 + 8, 3 + 7, 4 + 6 and 5 + 5. Children who know these pairs can solve many larger facts by making a ten first. They also give subtraction facts such as 10 − 3 = 7 for free.
Practice fact families to 10
Fact families to 10 worksheet
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Frequently asked questions
What is the fact family for 1, 2 and 3?
1 + 2 = 3, 2 + 1 = 3, 3 − 1 = 2 and 3 − 2 = 1.
What is the fact family for 5, 5 and 10?
The two parts are equal, so there are two facts: 5 + 5 = 10 and 10 − 5 = 5.
What about families that include zero?
A family like 0, 7 and 7 has 0 + 7 = 7, 7 + 0 = 7, 7 − 0 = 7 and 7 − 7 = 0. We leave the zero families out of the list to keep it short.
Need families that go higher? See addition fact families to 20. To learn how they work, read about addition and subtraction fact families.