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Growing Patterns Worksheets

Patterns that add, subtract and multiply — can you find the rule?

Grade 5 Grade 6

Printable worksheet

Growing Patterns

Name:Date:Score:

Find the rule for each pattern. Write the next two numbers and the rule.

  1. 110, 17, 24, 31, 38, , rule: _______
  2. 249, 46, 43, 40, 37, , rule: _______
  3. 33, 9, 27, 81, 243, , rule: _______
  4. 41, 7, 13, 19, 25, , rule: _______
  5. 550, 46, 42, 38, 34, , rule: _______
  6. 62, 6, 18, 54, 162, , rule: _______
  7. 716, 20, 24, 28, 32, , rule: _______
  8. 857, 55, 53, 51, 49, , rule: _______
  9. 92, 4, 8, 16, 32, , rule: _______
  10. 1019, 28, 37, 46, 55, , rule: _______

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Answer key — Sheet A (10 answers)
  1. 1. 45, 52; rule: add 7
  2. 2. 34, 31; rule: subtract 3
  3. 3. 729, 2187; rule: multiply by 3
  4. 4. 31, 37; rule: add 6
  5. 5. 30, 26; rule: subtract 4
  6. 6. 486, 1458; rule: multiply by 3
  7. 7. 36, 40; rule: add 4
  8. 8. 47, 45; rule: subtract 2
  9. 9. 64, 128; rule: multiply by 2
  10. 10. 64, 73; rule: add 9

About this skill

Multiplicative patterns grow fast, and children enjoy seeing how quickly numbers rise.

How to teach it

Mistakes to watch for

Where to go next

All Algebra Worksheets →