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Patterns — Find the Rule is a free printable Grade 4 maths worksheet on naming an additive rule with a larger step, aligned to Common Core standard 4.OA.C.5. It prints 8 questions with an answer key on its own sheet of paper, in 25 versions that each ask different questions, so no two pupils in the class work from the same page. Print it from the browser or download it as a PDF — no account, no email.

Set 1 of 25 · the same problems every time you open this link.

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One paper per pupil

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All 25 sets ask different questions.

Patterns — Find the Rule

4.OA.C.5

NameDate

Write the rule and the next number.

1.2, 14, 26, 38, 50, ___ What is the rule?
2.7, 16, 25, 34, 43, ___ What is the rule?
3.5, 13, 21, 29, 37, ___ What is the rule?
4.9, 21, 33, 45, 57, ___ What is the rule?
5.9, 16, 23, 30, 37, ___ What is the rule?
6.8, 20, 32, 44, 56, ___ What is the rule?
7.9, 19, 29, 39, 49, ___ What is the rule?
8.4, 16, 28, 40, 52, ___ What is the rule?

LessonPrint · 4.OA.C.5 · Set 1 · free to copy for classroom use

Answer key — Patterns — Find the Rule

Set 1. Prints on its own sheet.

  1. 1.add 12; next is 62
  2. 2.add 9; next is 52
  3. 3.add 8; next is 45
  4. 4.add 12; next is 69
  5. 5.add 7; next is 44
  6. 6.add 12; next is 68
  7. 7.add 10; next is 59
  8. 8.add 12; next is 64

Questions about Patterns — Find the Rule

What does the Patterns — Find the Rule worksheet cover?

It practises naming an additive rule with a larger step — 8 questions for Grade 4, all on Common Core 4.OA.C.5: Make and describe patterns that follow a rule. The instruction to pupils is “Write the rule and the next number”, and the answer key follows on the next sheet.

Which Common Core standard does Patterns — Find the Rule practise?

CCSS.MATH.CONTENT.4.OA.C.5 — 4.OA.C.5, in the Operations & Algebraic Thinking domain for Grade 4. The published standard reads: “Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.” The worksheet assesses that standard rather than a paraphrase of it.

What age or grade is this worksheet for?

Patterns — Find the Rule is written for Grade 4, typically ages 9-10. It is one of the sheets on 4.OA.C.5, so it suits any pupil working at that standard — including older pupils revisiting it and younger ones working ahead.

Does Patterns — Find the Rule come with an answer key?

Yes. All 8 answers are generated from the same problems as the questions, so the key cannot drift out of step with the sheet. It starts on a fresh sheet of paper, after the questions, so it is not handed out with the class by accident.

How many different versions of Patterns — Find the Rule can I print?

25 — one per pupil, and all 25 ask different questions. Set 1 downloads the whole class as a single PDF. Every version is fixed to its own address, so a sheet printed today holds the same problems when you reopen it next week.

Is Patterns — Find the Rule free to print and photocopy?

Yes. Patterns — Find the Rule, its answer key and its 25 versions are free to print and photocopy for your own class, with no account, no email capture and no subscription at the download step. Please do not resell them or republish them as your own.

Is there a lesson plan to teach 4.OA.C.5?

Yes — “Generating Number Patterns” is a 50-minute Grade 4 plan for 4.OA.C.5, timed section by section, with the misconceptions to expect and an exit ticket. Patterns — Find the Rule is the practice that follows it.

More practice for 4.OA.C.5

Make and describe patterns that follow a rule.

Teaching this next? Generating Number Patterns is the 50-minute plan for it, with the misconceptions to expect.

All Grade 4 worksheets

Last reviewed 2026-09-05. Aligned to 4.OA.C.5 of the Common Core State Standards for mathematics.