Addition Fact Families to 20: Full List

There are 100 addition and subtraction fact families with a whole of 20 or less, if both parts must be at least 1. This page lists them all, grouped by the whole. Each family shows the four facts, or two facts when both parts are equal.

All addition fact families to 20

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

Fact families that make 11

1 + 10 = 11
10 + 1 = 11
11 − 1 = 10
11 − 10 = 1

2 + 9 = 11
9 + 2 = 11
11 − 2 = 9
11 − 9 = 2

3 + 8 = 11
8 + 3 = 11
11 − 3 = 8
11 − 8 = 3

4 + 7 = 11
7 + 4 = 11
11 − 4 = 7
11 − 7 = 4

5 + 6 = 11
6 + 5 = 11
11 − 5 = 6
11 − 6 = 5

Fact families that make 12

1 + 11 = 12
11 + 1 = 12
12 − 1 = 11
12 − 11 = 1

2 + 10 = 12
10 + 2 = 12
12 − 2 = 10
12 − 10 = 2

3 + 9 = 12
9 + 3 = 12
12 − 3 = 9
12 − 9 = 3

4 + 8 = 12
8 + 4 = 12
12 − 4 = 8
12 − 8 = 4

5 + 7 = 12
7 + 5 = 12
12 − 5 = 7
12 − 7 = 5

6 + 6 = 12
12 − 6 = 6

Fact families that make 13

1 + 12 = 13
12 + 1 = 13
13 − 1 = 12
13 − 12 = 1

2 + 11 = 13
11 + 2 = 13
13 − 2 = 11
13 − 11 = 2

3 + 10 = 13
10 + 3 = 13
13 − 3 = 10
13 − 10 = 3

4 + 9 = 13
9 + 4 = 13
13 − 4 = 9
13 − 9 = 4

5 + 8 = 13
8 + 5 = 13
13 − 5 = 8
13 − 8 = 5

6 + 7 = 13
7 + 6 = 13
13 − 6 = 7
13 − 7 = 6

Fact families that make 14

1 + 13 = 14
13 + 1 = 14
14 − 1 = 13
14 − 13 = 1

2 + 12 = 14
12 + 2 = 14
14 − 2 = 12
14 − 12 = 2

3 + 11 = 14
11 + 3 = 14
14 − 3 = 11
14 − 11 = 3

4 + 10 = 14
10 + 4 = 14
14 − 4 = 10
14 − 10 = 4

5 + 9 = 14
9 + 5 = 14
14 − 5 = 9
14 − 9 = 5

6 + 8 = 14
8 + 6 = 14
14 − 6 = 8
14 − 8 = 6

7 + 7 = 14
14 − 7 = 7

Fact families that make 15

1 + 14 = 15
14 + 1 = 15
15 − 1 = 14
15 − 14 = 1

2 + 13 = 15
13 + 2 = 15
15 − 2 = 13
15 − 13 = 2

3 + 12 = 15
12 + 3 = 15
15 − 3 = 12
15 − 12 = 3

4 + 11 = 15
11 + 4 = 15
15 − 4 = 11
15 − 11 = 4

5 + 10 = 15
10 + 5 = 15
15 − 5 = 10
15 − 10 = 5

6 + 9 = 15
9 + 6 = 15
15 − 6 = 9
15 − 9 = 6

7 + 8 = 15
8 + 7 = 15
15 − 7 = 8
15 − 8 = 7

Fact families that make 16

1 + 15 = 16
15 + 1 = 16
16 − 1 = 15
16 − 15 = 1

2 + 14 = 16
14 + 2 = 16
16 − 2 = 14
16 − 14 = 2

3 + 13 = 16
13 + 3 = 16
16 − 3 = 13
16 − 13 = 3

4 + 12 = 16
12 + 4 = 16
16 − 4 = 12
16 − 12 = 4

5 + 11 = 16
11 + 5 = 16
16 − 5 = 11
16 − 11 = 5

6 + 10 = 16
10 + 6 = 16
16 − 6 = 10
16 − 10 = 6

7 + 9 = 16
9 + 7 = 16
16 − 7 = 9
16 − 9 = 7

8 + 8 = 16
16 − 8 = 8

Fact families that make 17

1 + 16 = 17
16 + 1 = 17
17 − 1 = 16
17 − 16 = 1

2 + 15 = 17
15 + 2 = 17
17 − 2 = 15
17 − 15 = 2

3 + 14 = 17
14 + 3 = 17
17 − 3 = 14
17 − 14 = 3

4 + 13 = 17
13 + 4 = 17
17 − 4 = 13
17 − 13 = 4

5 + 12 = 17
12 + 5 = 17
17 − 5 = 12
17 − 12 = 5

6 + 11 = 17
11 + 6 = 17
17 − 6 = 11
17 − 11 = 6

7 + 10 = 17
10 + 7 = 17
17 − 7 = 10
17 − 10 = 7

8 + 9 = 17
9 + 8 = 17
17 − 8 = 9
17 − 9 = 8

Fact families that make 18

1 + 17 = 18
17 + 1 = 18
18 − 1 = 17
18 − 17 = 1

2 + 16 = 18
16 + 2 = 18
18 − 2 = 16
18 − 16 = 2

3 + 15 = 18
15 + 3 = 18
18 − 3 = 15
18 − 15 = 3

4 + 14 = 18
14 + 4 = 18
18 − 4 = 14
18 − 14 = 4

5 + 13 = 18
13 + 5 = 18
18 − 5 = 13
18 − 13 = 5

6 + 12 = 18
12 + 6 = 18
18 − 6 = 12
18 − 12 = 6

7 + 11 = 18
11 + 7 = 18
18 − 7 = 11
18 − 11 = 7

8 + 10 = 18
10 + 8 = 18
18 − 8 = 10
18 − 10 = 8

9 + 9 = 18
18 − 9 = 9

Fact families that make 19

1 + 18 = 19
18 + 1 = 19
19 − 1 = 18
19 − 18 = 1

2 + 17 = 19
17 + 2 = 19
19 − 2 = 17
19 − 17 = 2

3 + 16 = 19
16 + 3 = 19
19 − 3 = 16
19 − 16 = 3

4 + 15 = 19
15 + 4 = 19
19 − 4 = 15
19 − 15 = 4

5 + 14 = 19
14 + 5 = 19
19 − 5 = 14
19 − 14 = 5

6 + 13 = 19
13 + 6 = 19
19 − 6 = 13
19 − 13 = 6

7 + 12 = 19
12 + 7 = 19
19 − 7 = 12
19 − 12 = 7

8 + 11 = 19
11 + 8 = 19
19 − 8 = 11
19 − 11 = 8

9 + 10 = 19
10 + 9 = 19
19 − 9 = 10
19 − 10 = 9

Fact families that make 20

1 + 19 = 20
19 + 1 = 20
20 − 1 = 19
20 − 19 = 1

2 + 18 = 20
18 + 2 = 20
20 − 2 = 18
20 − 18 = 2

3 + 17 = 20
17 + 3 = 20
20 − 3 = 17
20 − 17 = 3

4 + 16 = 20
16 + 4 = 20
20 − 4 = 16
20 − 16 = 4

5 + 15 = 20
15 + 5 = 20
20 − 5 = 15
20 − 15 = 5

6 + 14 = 20
14 + 6 = 20
20 − 6 = 14
20 − 14 = 6

7 + 13 = 20
13 + 7 = 20
20 − 7 = 13
20 − 13 = 7

8 + 12 = 20
12 + 8 = 20
20 − 8 = 12
20 − 12 = 8

9 + 11 = 20
11 + 9 = 20
20 − 9 = 11
20 − 11 = 9

10 + 10 = 20
20 − 10 = 10

Strategies for facts within 20

Doubles. Know 6 + 6 = 12, 7 + 7 = 14, 8 + 8 = 16 and 9 + 9 = 18. Near doubles such as 7 + 8 are one more than 7 + 7.
Make a ten. For 8 + 5, take 2 from the 5 to make 8 + 2 = 10, then add the 3 that is left to get 13.
Use the family. If 8 + 5 = 13, then 13 − 8 = 5 and 13 − 5 = 8. One fact gives you all four.

These ideas connect to Common Core standard 2.OA.B.2, which asks second graders to add and subtract fluently within 20.

Practice fact families to 20

Fact families to 20 worksheet

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Frequently asked questions

What is the fact family for 15, 7 and 8?

7 + 8 = 15, 8 + 7 = 15, 15 − 7 = 8 and 15 − 8 = 7.

How many facts are in a fact family to 20?

Four, unless the two parts are equal. The families 6, 6 and 12 or 9, 9 and 18 have two different facts.

Start with the smaller list on addition fact families to 10, or use the fact family calculator for any numbers.

Addition fact families to 20

All addition fact families to 20

Fact families that make 2

Fact families that make 3

Fact families that make 4

Fact families that make 5

Fact families that make 6

Fact families that make 7

Fact families that make 8

Fact families that make 9

Fact families that make 10

Fact families that make 11

Fact families that make 12

Fact families that make 13

Fact families that make 14

Fact families that make 15

Fact families that make 16

Fact families that make 17

Fact families that make 18

Fact families that make 19

Fact families that make 20

Strategies for facts within 20

Practice fact families to 20

Fact families to 20 worksheet

Frequently asked questions

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All addition fact families to 20

Fact families that make 2

Fact families that make 3

Fact families that make 4

Fact families that make 5

Fact families that make 6

Fact families that make 7

Fact families that make 8

Fact families that make 9

Fact families that make 10

Fact families that make 11

Fact families that make 12

Fact families that make 13

Fact families that make 14

Fact families that make 15

Fact families that make 16

Fact families that make 17

Fact families that make 18

Fact families that make 19

Fact families that make 20

Strategies for facts within 20

Practice fact families to 20

Fact families to 20 worksheet

Frequently asked questions

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