Grade 7 Multiplying Sequences Worksheets
Sequences that grow by a fixed ratio each step, and the same runs in reverse.
Every sheet below is generated fresh with a matching answer key. Pick one of the three levels, preview it, and print or download the PDF — no account, no watermark. For the other grade 7 number patterns skills, see all number patterns worksheets.
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Number Patterns · Grade 7
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Grade 7 · 2 pages · A4What each level generates
Grade 7 multiplying sequences — the exact skill behind each difficulty setting, straight from the generator.
- Level 1Triple it: use the rule for term n
- Level 2Thirds: use the rule for term n
- Level 3Bigger ratios, with a gap
Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →
More Grade 7 number patterns skills
Each one generates a different kind of question, with its own three levels and answer key.
- Continue the SequenceWork out the rule from the terms shown, then write the ones that come next.
- Find the Missing TermThe gap is inside the sequence, so the rule has to be read from both sides of it.
- Name the RuleRead a sequence and write, in words, what its rule does at every step.
- Doubling and HalvingRuns that double at every step, and the same runs read backwards.
- Two Rules TogetherPatterns where two different jumps take turns, one term at a time.
Frequently asked questions
â–¸What are common difference and common ratio?
The common difference is the fixed amount an arithmetic sequence adds each step; the common ratio is the fixed amount a geometric sequence multiplies by. Grade 7 expects students to find and name both from the terms.
â–¸Do Grade 7 patterns include decreasing sequences?
Yes, at the second level of four skills: Count back in equal steps on Continue the Sequence, Halve it each time on Doubling and Halving, Thirds: use the rule for term n on Multiplying Sequences, where each term comes from a rule that divides by a power of 3, and Rules that count back on Name the Rule; about half the two-gap sequences on Find the Missing Term count back too. Students work patterns in the shrinking direction, not just the growing one.
â–¸How is a decreasing geometric sequence different from a subtracting one?
A subtracting sequence takes away the same amount each time (30, 22, 14 subtracts 8); a decreasing geometric sequence divides by the same amount (48, 24, 12 divides by 2), so the gaps shrink rather than stay equal.
â–¸Can students mark their own work?
Yes — tick the answer key box and a numbered key prints on its own final page. Hand it out after the attempt and have students locate the exact term where a sequence went wrong, which is strong pattern reasoning in itself.
â–¸Is this generator free for classroom use?
Completely — no account, no watermark, no limit on sheets. Share one link so every student gets the identical page, or Shuffle to hand neighbouring desks different problems at the same settings.