MathDrillSheets
Multiplication•Grade 6•Drill

Grade 6 Multiplication Drill

Grade 6 multiplication drill sheet: 30 problems on multi-digit multiplication.

CCSSAligned to Common Core 6.NS.3: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

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Three different problem sets — same skill, same layout, fresh numbers.

Preview — Set A

Solve each problem. Show your work in the space provided.

  1. 1.
    515 × 125 =
  2. 2.
    747 × 552 =
  3. 3.
    553 × 270 =
  4. 4.
    341 × 336 =
  5. 5.
    705 × 642 =
  6. 6.
    912 × 763 =
  7. 7.
    664 × 725 =
  8. 8.
    207 × 411 =
  9. 9.
    298 × 420 =
  10. 10.
    655 × 365 =
  11. 11.
    712 × 807 =
  12. 12.
    154 × 576 =
  13. 13.
    980 × 322 =
  14. 14.
    899 × 517 =
  15. 15.
    581 × 398 =
  16. 16.
    311 × 637 =
  17. 17.
    678 × 308 =
  18. 18.
    933 × 590 =
  19. 19.
    603 × 934 =
  20. 20.
    684 × 570 =
  21. 21.
    802 × 152 =
  22. 22.
    135 × 978 =
  23. 23.
    327 × 677 =
  24. 24.
    433 × 413 =
  25. 25.
    156 × 180 =
  26. 26.
    291 × 580 =
  27. 27.
    231 × 600 =
  28. 28.
    620 × 656 =
  29. 29.
    615 × 569 =
  30. 30.
    969 × 989 =

Other ways to solve this

Using 515 × 125 from this sheet (Set A, problem 1). Each method below reaches the same answer, 64,375, by a different route; pick the one that makes the most sense to you.

Lattice method

Helps keep carrying tidy: every digit product gets its own box, and you only add at the end.

Lattice for 515 × 125A 3 by 3 lattice with 515 across the top and 125 down the right side. Each box holds a digit product split by a diagonal, and the diagonal sums are written down the left side and along the bottom.515125050105100210250525064375

  1. Step 1Write 515 across the top and 125 down the right side, one digit per box.

  2. Step 2Multiply each pair of digits. Put the tens above the diagonal and the ones below it.

    • 1 × 5 = 5 → tens 0, ones 5
    • 1 × 1 = 1 → tens 0, ones 1
    • 1 × 5 = 5 → tens 0, ones 5
    • 2 × 5 = 10 → tens 1, ones 0
    • 2 × 1 = 2 → tens 0, ones 2
    • 2 × 5 = 10 → tens 1, ones 0
    • 5 × 5 = 25 → tens 2, ones 5
    • 5 × 1 = 5 → tens 0, ones 5
    • 5 × 5 = 25 → tens 2, ones 5

  3. Step 3Add along each diagonal, starting at the bottom right. Carry when a sum is 10 or more.

    • Diagonal 1 (from the bottom right): 5 = 5
    • Diagonal 2 (from the bottom right): 7 = 7
    • Diagonal 3 (from the bottom right): 13 = 13: write 3, carry 1
    • Diagonal 4 (from the bottom right): 3 + carry 1 = 4
    • Diagonal 5 (from the bottom right): 6 = 6
    • Diagonal 6 (from the bottom right): 0 = 0

  4. Step 4Read the digits down the left side and along the bottom: 6 4 3 7 5. So 515 × 125 = 64,375.

Step 1 of 4

Doubling and halving

Helps when you can halve and double quickly: the only hard step is one addition at the end.

Halving the left column and doubling the right. Rows with an even left value are crossed out.
HalveDoubleKeep?
125515keep
621,030cross out
312,060keep
154,120keep
78,240keep
316,480keep
132,960keep

  1. Step 1Put the smaller number, 125, in the left column and 515 in the right column.

  2. Step 2Halve the left number (drop any remainder) and double the right number, row by row, until the left reaches 1.

    • 125 | 515
    • 62 | 1,030
    • 31 | 2,060
    • 15 | 4,120
    • 7 | 8,240
    • 3 | 16,480
    • 1 | 32,960

  3. Step 3Cross out every row with an even number on the left.

    • Cross out 62 | 1,030

  4. Step 4Add the right column of the rows that are left: 515 + 2,060 + 4,120 + 8,240 + 16,480 + 32,960 = 64,375.

  5. Step 5So 515 × 125 = 64,375.

Step 1 of 5

Estimate first

Helps you catch place-value slips: round, estimate, then check that the exact answer is close.

  1. Step 1Round each number to its first digit: 515 rounds to 500; 125 rounds to 100.

  2. Step 2Estimate: 500 × 100 = 50,000.

  3. Step 3Now work it out exactly: 515 × 125 = 64,375.

  4. Step 4Compare: 64,375 is 14,375 away from the estimate of 50,000. An answer with a different number of digits from the estimate usually means a place-value slip.

Step 1 of 4

What this worksheet covers

30 multiplication problems fill this drill page; problem 11 asks "712 × 807", and the sheet stays at that level throughout. What makes this set particular: the numbers run as high as 989. Further down, problem 21 asks "802 × 152". Common Core 6.NS.3 is the slot this page fills.

Skills practiced

Grade 6 multiplication means multi-digit multiplication, greatest common factor, least common multiple and perfect squares. What a student is asked to do here is multi-digit multiplication. To finish it, a student has to recall the multiplication facts quickly and accurately, without counting up to them.

About the drill format

This drill runs 30 problems in a steady layout, so the eye never has to hunt for the next one; problem 11, "712 × 807" shows the level it holds. 30 untimed products let a student practice the algorithm while accuracy, not speed, is the target.

Set A, Set B and Set C

The three sets come from the same generator with three different seeds: same skill, same layout, fresh numbers, and an answer key computed with the problems. Where Set A's problem 16 is "311 × 637", Set B's is "763 × 139".

How to use this worksheet

Have the student estimate before computing, then compare. At grade 6 an multiplication answer that is wildly off should announce itself, and building that reflex matters as much as the 30 answers. Print Set B of this multiplication drill before writing on Set A; the same skill worked twice a week apart tells you far more than once.

One mistake to watch for

The carried digit in long multiplication is added before multiplying instead of after. Watch problem 11 of this drill — "712 × 807" — for this one.

The order of the two steps in each column has not been made explicit.

Say the two steps aloud for a few problems: multiply first, then add what was carried.

The full guide to teaching multiplicationTeaching multiplication from equal groups to integer exponents: the grade 2–8 progression, times-table strategies, and the errors that stall students.

Other grade 6 multiplication formats

The same skill in the other formats available at this grade.

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.

Drill sheets in other grade 6 topics

Six PDFs, no sign-up: three versions of this grade 6 multiplication drill and three answer keys, each 30 problems long.

← All grade 6 multiplication worksheetsMultiplication, every gradeGrade 6 mathBuild your own in the generatorCommon Core 6.NS.3

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