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10 printable sets · answer key on every set

Number Patterns Worksheets

  • CCSS 5.OA.B.3
  • 12 problems per set
  • Answer key included

What this skill is

Following a rule such as “add 6” or “multiply by 2” to continue a pattern of numbers.

When it comes up: Fifth grade.

The mistake to watch for

Using the wrong kind of rule: finding the differences when the pattern is multiplying, or the ratios when it is adding. Check two steps before trusting a rule.

How to help

Write arrows between the numbers (+4, +4, +4) and check that the same rule works every time.

Next: Graphing patterns on the coordinate plane.

A worked example

Rule: add 6. Start at 2: 2, 8, 14, ___. Each number is 6 more than the one before, so the next number is 14 + 6 = 20. For “multiply by 2” starting at 3: 3, 6, 12, 24.

Words to know

pattern
Something that repeats in a way you can predict, like 2, 4, 6, 8.
rule
A sentence that tells how a pattern changes, like “add 6”.
sequence
A list of numbers that follows a rule.
multiply
To add the same number again and again, in a faster way.
add
To put numbers together to find how many in all.

Practice

Follow the rule. Write the next number.

Showing Set 1 · 12 problems

  1. Rule: add 7. Start at 17. Write the next number: 17, 24, 31, ___
  2. Rule: add 7. Start at 10. Write the next number: 10, 17, 24, ___
  3. Rule: add 8. Start at 10. Write the next number: 10, 18, 26, ___
  4. Rule: add 5. Start at 2. Write the next number: 2, 7, 12, ___
  5. Rule: add 8. Start at 18. Write the next number: 18, 26, 34, ___
  6. Rule: add 8. Start at 12. Write the next number: 12, 20, 28, ___
  7. Rule: add 7. Start at 16. Write the next number: 16, 23, 30, ___
  8. Rule: add 10. Start at 12. Write the next number: 12, 22, 32, ___
  9. Rule: add 7. Start at 2. Write the next number: 2, 9, 16, ___
  10. Rule: add 6. Start at 2. Write the next number: 2, 8, 14, ___
  11. Rule: multiply by 4. Start at 4. Write the next number: 4, 16, 64, ___
  12. Rule: add 7. Start at 19. Write the next number: 19, 26, 33, ___

Download this set12 problems · answer key included PDF

Answer key
  1. 38
  2. 31
  3. 34
  4. 17
  5. 42
  6. 36
  7. 37
  8. 42
  9. 23
  10. 20
  11. 256
  12. 40

All 10 sets

Each set is a different list of 12 problems with its own answer key. Use the buttons above to look at one on this page, or download any of them as a PDF.

How these sheets were made
  • Problems are generated for each set and checked against 5.OA.B.3 before the sheet is built — no duplicates, and every problem falls inside the standard's number range.

Common Core State Standards © 2010 National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.