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Addition and subtraction fact families

Use two parts and a total to write related addition and subtraction facts.

Practice + answer key · 2 pages

Worksheet settings8 questions · 2 columns · A4
Part values

Both parts are chosen within the range; their sum is calculated and may be larger.

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mathsprig-1
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a77ef46c
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1 page
Addition and subtraction fact familiesAddition and subtraction fact families. Practice. Write the related addition and subtraction facts for 17, 7 and 24. Write the related addition and subtraction facts for 9, 20 and 29. Write the related addition and subtraction facts for 5, 13 and 18. Write the related addition and subtraction facts for 9, 19 and 28. Write the related addition and subtraction facts for 8, 17 and 25. Write the related addition and subtraction facts for 5, 16 and 21. Write the related addition and subtraction facts for 9, 19 and 28. Write the related addition and subtraction facts for 4, 7 and 11.Name __________________________Date _______________Addition and subtraction fact familiesWrite the related addition and subtraction facts for each family.Worked exampleWrite the fact family for 7, 5 and 12. → 7 + 5 = 12; 5 + 7 = 12; 12 − 7 = 5;12 − 5 = 7The parts 7 and 5 combine to make 12.1.Write the related addition andsubtraction facts for 17, 7 and24.2.Write the related addition andsubtraction facts for 9, 20 and29.3.Write the related addition andsubtraction facts for 5, 13 and18.4.Write the related addition andsubtraction facts for 9, 19 and28.5.Write the related addition andsubtraction facts for 8, 17 and25.6.Write the related addition andsubtraction facts for 5, 16 and21.7.Write the related addition andsubtraction facts for 9, 19 and28.8.Write the related addition andsubtraction facts for 4, 7 and11.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · a77ef46c
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Practice + answer key · 2 pages

Arithmetic

What you’ll practice

Write the distinct addition and subtraction facts for two parts and their total.

If 7 + 5 = 12, what other facts do you know? Swap the addends or subtract either part from the total to see how the four equations connect.

How this skill works

If a + b = c, reversing the addends gives b + a = c. Subtracting either part from the total gives the other part.

When both parts are equal, some written equations coincide. Record each distinct fact once rather than inventing a different result.

Worked example

Write the fact family for 7, 5 and 12.
  1. The parts 7 and 5 combine to make 12.
  2. Addition allows the parts in either order.
  3. Removing one part from 12 leaves the other part.

Answer: 7 + 5 = 12; 5 + 7 = 12; 12 − 7 = 5; 12 − 5 = 7

Teaching notes

  • Use the largest value as the whole.
  • Check that subtraction starts with the total.
Practice questions
  1. Write the related addition and subtraction facts for 17, 7 and 24.
  2. Write the related addition and subtraction facts for 9, 20 and 29.
  3. Write the related addition and subtraction facts for 5, 13 and 18.
  4. Write the related addition and subtraction facts for 9, 19 and 28.
  5. Write the related addition and subtraction facts for 8, 17 and 25.
  6. Write the related addition and subtraction facts for 5, 16 and 21.
  7. Write the related addition and subtraction facts for 9, 19 and 28.
  8. Write the related addition and subtraction facts for 4, 7 and 11.
Answers and steps
  1. 17 + 7 = 24; 7 + 17 = 24; 24 − 17 = 7; 24 − 7 = 17
    1. The two parts make the whole: 17 + 7 = 24. Reverse addition to find each part.
    2. 17 + 7 = 24
    3. 7 + 17 = 24
    4. 24 − 17 = 7
    5. 24 − 7 = 17
  2. 9 + 20 = 29; 20 + 9 = 29; 29 − 9 = 20; 29 − 20 = 9
    1. The two parts make the whole: 9 + 20 = 29. Reverse addition to find each part.
    2. 9 + 20 = 29
    3. 20 + 9 = 29
    4. 29 − 9 = 20
    5. 29 − 20 = 9
  3. 5 + 13 = 18; 13 + 5 = 18; 18 − 5 = 13; 18 − 13 = 5
    1. The two parts make the whole: 5 + 13 = 18. Reverse addition to find each part.
    2. 5 + 13 = 18
    3. 13 + 5 = 18
    4. 18 − 5 = 13
    5. 18 − 13 = 5
  4. 9 + 19 = 28; 19 + 9 = 28; 28 − 9 = 19; 28 − 19 = 9
    1. The two parts make the whole: 9 + 19 = 28. Reverse addition to find each part.
    2. 9 + 19 = 28
    3. 19 + 9 = 28
    4. 28 − 9 = 19
    5. 28 − 19 = 9
  5. 8 + 17 = 25; 17 + 8 = 25; 25 − 8 = 17; 25 − 17 = 8
    1. The two parts make the whole: 8 + 17 = 25. Reverse addition to find each part.
    2. 8 + 17 = 25
    3. 17 + 8 = 25
    4. 25 − 8 = 17
    5. 25 − 17 = 8
  6. 5 + 16 = 21; 16 + 5 = 21; 21 − 5 = 16; 21 − 16 = 5
    1. The two parts make the whole: 5 + 16 = 21. Reverse addition to find each part.
    2. 5 + 16 = 21
    3. 16 + 5 = 21
    4. 21 − 5 = 16
    5. 21 − 16 = 5
  7. 9 + 19 = 28; 19 + 9 = 28; 28 − 9 = 19; 28 − 19 = 9
    1. The two parts make the whole: 9 + 19 = 28. Reverse addition to find each part.
    2. 9 + 19 = 28
    3. 19 + 9 = 28
    4. 28 − 9 = 19
    5. 28 − 19 = 9
  8. 4 + 7 = 11; 7 + 4 = 11; 11 − 4 = 7; 11 − 7 = 4
    1. The two parts make the whole: 4 + 7 = 11. Reverse addition to find each part.
    2. 4 + 7 = 11
    3. 7 + 4 = 11
    4. 11 − 4 = 7
    5. 11 − 7 = 4