Grade 6 Multiplication & GCF/LCM Practice
Grade 6 worksheet covering multiplication with connections to GCF, LCM, and the distributive property, aligned to Common Core standard 6.NS.4 concepts.
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Three different problem sets — same skill, same layout, fresh numbers.
Preview — Set A
Solve each multiplication problem and use GCF or LCM where indicated.
- 1.Find the GCF of 36 and 48, then use the distributive property to rewrite 36 + 48 as a product: GCF × ( _ + _ ) =
- 2.What is the LCM of 8 and 12?
- 3.Use the distributive property: 7 × (40 + 6) =
- 4.Find the GCF of 24 and 60, then rewrite 24 + 60 using the distributive property: GCF × ( _ + _ ) =
- 5.What is the LCM of 9 and 12?
- 6.Use the distributive property to solve: 8 × (30 + 7) =
- 7.A school orders supplies in boxes of 6 or boxes of 9. What is the least number of supplies that fills both box sizes exactly (LCM of 6 and 9)?
- 8.Find the GCF of 45 and 75, then rewrite 45 + 75 using the distributive property: GCF × ( _ + _ ) =
- 9.Two friends run laps. One completes a lap every 4 minutes, the other every 6 minutes. After how many minutes will they finish a lap at the same time (LCM of 4 and 6)?
- 10.Use the distributive property to solve: 12 × (50 + 9) =
What this worksheet covers
This is a 10-problem mixed review for grade 6 multiplication, printed in black and white with the key on page two. The numbers run as high as 75. Problems 4 and 7, for instance, are "Find the GCF of 24 and 60, then rewrite 24 + 60 using the…" and "A school orders supplies in boxes of 6 or boxes of 9. What…". Common Core 6.NS.4 is the slot this page fills.
Skills practised
The grade 6 multiplication sequence covers multi-digit multiplication, greatest common factor, least common multiple and perfect squares; this page sits inside it. What a student is asked to do here is grade 6 Multiplication & GCF/LCM Practice. Concretely, the sheet tests whether a student can recall the multiplication facts quickly and accurately, without counting up to them.
About the mixed review format
Mixed review changes the problem shape as the page goes on, so the 10 problems here cover more than one shape rather than one procedure repeated; problem 4, "Find the GCF of 24 and 60, then rewrite 24 + 60 using the…" sits next to problems of a different kind. Mixing facts, multiples of ten and larger products on one page keeps a student choosing a method instead of repeating one.
Set A, Set B and Set C
Set A is the sheet as it was first published on MathSheetLab, and Sets B and C were derived from it problem by problem: each number became a slot redrawn with the same shape, and every answer was recomputed exactly. Where Set A's problem 6 is "Use the distributive property to solve: 8 × (30 + 7)", Set B's is "One bus leaves the station every 4 minutes and another…".
5 story problem(s) drawn from the 6.NS.4 context family (least-common-multiple stories) — parameters inferred from the standard and grade
How to use this worksheet
Expect twenty minutes or so of real attention for ten problems. At grade 6, multiplication rewards care over speed — a rushed mixed review gets the arithmetic right and the signs or units wrong. Date the mixed review before filing it. Set C from six weeks later is the cheapest evidence you have that the multiplication stuck.
One mistake to watch for
In two-digit multiplication the second partial product is not shifted left, so 34 × 12 comes out as 102. Watch problem 7 of this mixed review — "A school orders supplies in boxes of 6 or boxes of 9. What…" — for this one.
The 1 in 12 is being treated as one, not ten.
Have the student write the placeholder zero in the ones column of the second row and say "ten times" aloud as they start it.
Other grade 6 multiplication formats
The same skill in the other formats available at this grade.
- Drill — Grade 6 Multiplication Drill, 30 problems
- Timed Drill — Grade 6 Multiplication Timed Drill, 60 problems
- Missing Number — Grade 6 Multiplication Missing Number, 24 problems
- Word Problems — Grade 6 Multiplication Word Problems, 10 problems
- Vertical Format — Grade 6 Multiplication Vertical Format, 16 problems
A step either side
The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.
- Grade 5 Multiplication Mixed Review — grade 5, 30 problems
Mixed Review sheets in other grade 6 topics
Print as many copies of this grade 6 multiplication mixed review as you need; Sets A, B and C and their keys are six separate PDFs, all free.