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Grade 6 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 β€” no account, no watermark. For the other grade 6 number patterns skills, see all number patterns worksheets.

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Number Patterns Β· Grade 6

Grade
Topic
SkillEach skill is a different kind of question, with its own levels.
Level
Questions
12

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Grade 6 Β· 2 pages Β· A4

Number Patterns Practice

Grade 6 β€’ Multiplying Sequences β€’ Cut it into thirds each time
Name:Date:

Each term is a fixed ratio of the one before it. Fill in the gaps.

  1. 1) 6723, 2241, 747, ___, ___
  1. 2) 2349, 783, 261, ___, ___
  1. 3) 6075, 2025, 675, ___, ___
  1. 4) 7209, 2403, 801, ___, ___
  1. 5) 8262, 2754, 918, ___, ___
  1. 6) 3969, 1323, 441, ___, ___
  1. 7) 162, 54, 18, ___, ___
  1. 8) 8019, 2673, 891, ___, ___
  1. 9) 3078, 1026, 342, ___, ___
  1. 10) 6885, 2295, 765, ___, ___
  1. 11) 81, 27, 9, ___, ___
  1. 12) 6156, 2052, 684, ___, ___
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Page 1 of 2

Answer Key

  1. 1. 249, 83
  2. 2. 87, 29
  3. 3. 225, 75
  4. 4. 267, 89
  1. 5. 306, 102
  2. 6. 147, 49
  3. 7. 6, 2
  4. 8. 297, 99
  1. 9. 114, 38
  2. 10. 255, 85
  3. 11. 3, 1
  4. 12. 228, 76
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Page 2 of 2

What each level generates

Grade 6 multiplying sequences β€” the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1Triple it each time
  2. Level 2Cut it into thirds each time
  3. Level 3Bigger ratios, with a gap

Grade levels follow the progression common to most English-language curricula β€” 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 β†’

More Grade 6 number patterns skills

Each one generates a different kind of question, with its own three levels and answer key.

Frequently asked questions

β–ΈWhat is the difference between an arithmetic and a geometric sequence?

An arithmetic sequence adds the same number each time (5, 8, 11 adds 3); a geometric sequence multiplies by the same number each time (5, 15, 45 times 3). Grade 6 introduces both and asks students to tell them apart from the terms.

β–ΈWhat pattern rules are expected in Grade 6?

Arithmetic sequences with larger constant differences and geometric sequences with a constant ratio, continuing the sequence and stating the rule in each case. Continue the Sequence and Find the Missing Term cover the additive half; Doubling and Halving handles a ratio of 2, and Multiplying Sequences runs from Triple it each time up to ratios of 4 and 5.

β–ΈWhy do most sequences have two missing numbers?

One blank at the end can be guessed from its neighbours; two blanks force the student to find the actual rule and apply it twice. That is the real Grade 6 skill. Where a sheet does leave a single gap it is never an easy one β€” Find the Missing Term puts it inside the run, or removes the first term altogether.

β–ΈHow many problems make a good Grade 6 session?

8 to 12. Geometric terms involve genuine multiplication, so a focused shorter set beats a long careless one. Use the count stepper to size the sheet to the time you have.

β–ΈCan I get the exact same worksheet again later?

Yes β€” the web address stores your exact sheet, so bookmarking or sharing the link reproduces the identical problems and answer key. Shuffle makes a fresh set at the same settings when you want a variant.