4th grade number patterns worksheets

In 4th grade, patterns add multiplication rules and name-the-rule questions. Your child might continue 3, 6, 12, 24 or state the rule behind a given sequence. Working both jobs builds the generalizing habit that algebra depends on later.

Free printable PDF worksheet, aligned to Common Core 4.OA.C.5.

A new sheet every click.

The kind of problems you'll get

Complete each pattern, or name the rule.

2, 4, 8, 16, ___
Answer: 32
10, 21, 32, 43, ___
What is the rule? 2, 8, 32, 128, …

Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.

What's on each sheet

Fluency. Complete each pattern, or name the rule. 10 questions per page.

Every version prints on US Letter or A4, with its answer key on the last page.

How to teach this

Ask "add or multiply?" first. If the jumps keep getting bigger, the rule probably multiplies. For name-the-rule items, have your child test their rule on the last pair of numbers, not just the first. Writing the rule in words ("multiply by 3") keeps them honest.

Watch for: Kids check only the first jump. Test the rule between every pair of numbers before continuing the pattern. Kids assume every pattern adds. Some subtract or multiply, so compare the neighbors both ways before deciding.

Common questions about number patterns

How are 4th grade patterns harder than 3rd grade?: Multiplication rules join the mix, and some problems flip the task: given the sequence, your child names the rule. Both match the 4.OA.C.5 standard.
What does 'name the rule' mean?: Instead of continuing the sequence, your child writes the rule that makes it, like 'multiply by 2' for 3, 6, 12, 24. It checks understanding, not just pattern-following.

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Aligned to Common Core 4.OA.C.5. Reviewed by the One more sheet curriculum team. Content version 123, updated July 2026.