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Two-digit multiplication

Two-digit by one-digit and two-digit by two-digit practice, with answer keys.

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Two-Digit Multiplication

  1. 1.94×8=
  2. 2.97×5=
  3. 3.61×6=
  4. 4.11×9=
  5. 5.23×9=
  6. 6.93×2=
  7. 7.62×5=
  8. 8.73×7=
  9. 9.15×5=
  10. 10.70×4=
  11. 11.29×8=
  12. 12.64×9=
  13. 13.93×9=
  14. 14.37×3=
  15. 15.56×3=
  16. 16.95×9=
  17. 17.35×5=
  18. 18.47×8=
  19. 19.36×5=
  20. 20.96×6=

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Two-Digit Multiplication, Answer Key

  1. 1.94×8=752
  2. 2.97×5=485
  3. 3.61×6=366
  4. 4.11×9=99
  5. 5.23×9=207
  6. 6.93×2=186
  7. 7.62×5=310
  8. 8.73×7=511
  9. 9.15×5=75
  10. 10.70×4=280
  11. 11.29×8=232
  12. 12.64×9=576
  13. 13.93×9=837
  14. 14.37×3=111
  15. 15.56×3=168
  16. 16.95×9=855
  17. 17.35×5=175
  18. 18.47×8=376
  19. 19.36×5=180
  20. 20.96×6=576

Created for free at puzzleandprint.com

Or take one that is already made

Six sheets in four lengths, 10, 20, 50 and 100 problems. Every one is a two-page PDF, the worksheet, then the answer key on its own page.

Two-digit multiplication math worksheet printable, warm up: 20 problems, 11 to 99 times 2 to 9Two-digit multiplication math worksheet, warm up20 problems, 11 to 99 × 2 to 9Download PDF ↓Two-digit multiplication math worksheet printable, everyday: 50 problems, 11 to 99 times 2 to 9Two-digit multiplication math worksheet, everyday50 problems, 11 to 99 × 2 to 9Download PDF ↓Two-digit multiplication math worksheet printable, timed test: 100 problems, 11 to 99 times 2 to 9Two-digit multiplication math worksheet, timed test100 problems, 11 to 99 × 2 to 9Download PDF ↓Two-digit multiplication math worksheet printable, second set: 50 problems, 11 to 99 times 2 to 9Two-digit multiplication math worksheet, second set50 problems, 11 to 99 × 2 to 9Download PDF ↓2-digit by 2-digit multiplication math worksheet printable, room to work: 10 problems, 11 to 99 times 11 to 992-digit by 2-digit multiplication math worksheet, room to work10 problems, 11 to 99 × 11 to 99Download PDF ↓2-digit by 2-digit multiplication math worksheet printable, practice: 20 problems, 11 to 99 times 11 to 992-digit by 2-digit multiplication math worksheet, practice20 problems, 11 to 99 × 11 to 99Download PDF ↓

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Two-digit multiplication is where the tables stop being the exercise and start being the tool. A two-digit by one-digit problem is two single-digit multiplications, one for each digit of the first number, and about three in four of them on these sheets need a carry as well. A two-digit by two-digit problem is four single-digit multiplications and an addition. Either way, a child who is still working out 6 × 7 will find it slow going for reasons that have nothing to do with the new skill.

That makes these sheets a good diagnostic. If the errors are in the carrying, the method needs work. If they are in the underlying facts, go back to the tables for two weeks. It is faster in the end.

Four of the sheets pair a two-digit number from 11 to 99 with a single digit from 2 to 9, which is the standard next step after the tables. Twenty problems is a sensible homework page there; a hundred of these is a lot more work than a hundred table facts. The other two pair two numbers from 11 to 99, which is long multiplication: ten problems with room under each to set it out in columns, or twenty with less room, for working on scrap paper.

The answer key prints on its own page, laid out in the same order, so it can be checked down the columns.

Which two-digit multiplication problems need a carry

Of the 712 problems the four two-digit by one-digit sheets can draw, a first number from 11 to 99 times a single digit from 2 to 9, 522 need a carry from the ones into the tens and 190 do not. For example, 65 × 8 carries 4, because 5 × 8 is 40, while 22 × 4 = 88 and 50 × 4 = 200 carry nothing. The 64 problems with a multiple of ten as the first number, from 20 × 2 to 90 × 9, are table facts with a zero on the end and make a good first column to check. On the printed sheets the carrying problems are 15 of the 20 on the warm up, 35 of 50 on the everyday sheet, 78 of 100 on the timed test and 38 of 50 on the second set.

The answers run from 22 (11 × 2) to 891 (99 × 9), and 614 of the 712 have three digits, so in most problems the tens step spills into the hundreds as well. Working 65 × 8 shows both steps: 5 × 8 = 40, so write 0 in the ones and carry 4; then 6 × 8 = 48 tens, add the carried 4 to make 52, and the answer is 520. One slip to look for is adding the carry before multiplying, which turns 6 × 8 into 10 × 8 and gives 800. Another is forgetting the carry altogether, which gives 480, an answer short by exactly the tens that were carried.

How to work out 65 × 8 from a two-digit multiplication sheet

Each problem on the two-digit multiplication sheets prints on one line, as 65 × 8 = with a short rule for the answer, so the method is left to you rather than set out in columns. Partitioning works in the head: 60 × 8 = 480 and 5 × 8 = 40, so 65 × 8 = 520. The box method writes the same thing down, with 60 and 5 across the top, 8 down the side and two boxes to add. Short multiplication in columns needs each problem copied out first, ideally one digit to a square on 1 cm squared paper, with the carried digit written small in the next column.

The size of the sheet should follow the method. The 20-problem warm up is a sensible page to set out in full in columns; the 50-problem sheets are a lot of copying for a written method and suit partitioning or the box method; the 100-problem timed test is realistic only as mental arithmetic, for a child who already partitions without writing anything down. The answer key on page two gives answers, not the work, so grading checks the result alone. For a child still learning a written method, ask for the work on the back of the sheet so the carry can be checked too.

What the two-digit by two-digit multiplication sheets ask for

The two-digit by two-digit sheets draw both numbers from 11 to 99, which makes 7,921 possible problems with answers from 121 (11 × 11) to 9,801 (99 × 99). About five in six of those answers have four digits, and the sheets follow suit: 8 of the 10 on the room to work sheet and 17 of the 20 on the practice sheet. Each problem is four single-digit multiplications and an addition. Set out in columns, 39 × 98 takes 39 × 8 = 312 for the first row and 39 × 90 = 3,510 for the second, and the two add to 3,822. Leaving off the placeholder zero at the end of the second row is the classic slip: it turns 3,510 into 351 and the answer into 663.

The room to work sheet sets its ten problems in two columns of five, with about an inch and a half of clear paper under each, enough to copy the problem into columns and add the two rows beneath it. The practice sheet fits twenty in three columns, seven deep, with about an inch under each, so it suits a child who works on scrap paper or partitions in the head. A problem with a multiple of ten in it is the easy one to start on, since it needs a single row: 50 × 69 is 5 × 69 = 345 with a zero on the end, 3,450. The room to work sheet has three of those (50 × 69, 50 × 27 and 60 × 93) and the practice sheet four (93 × 60, 11 × 90, 61 × 70 and 19 × 90).

Common questions

My child gets these wrong. Where is the problem?

Check the five warm up problems that need no carry first, 22 × 4, 50 × 4, 91 × 7, 60 × 8 and 73 × 2, and compare them with the other fifteen. If those five are right and the errors sit in the fifteen that carry, the carry is the likely trouble. If the five are wrong as well, a times tables fact is slipping, and some time back on the tables will help more than another sheet of these.

How many problems make a reasonable homework page?

Twenty, the size of the warm up sheet, where 15 of the problems need a carry and 17 have a three-digit answer. The 100-problem timed test holds 78 carries and 84 three-digit answers, which is a long sitting next to a hundred table facts, each a single recall. A two-digit by two-digit problem is four multiplications and an addition rather than two multiplications, so ten of those make a full page, which is why the room to work sheet stops there.

Is two-digit by one-digit multiplication the same as long multiplication?

No, it is short multiplication: one row of working, because the second number has a single digit. Long multiplication begins when both numbers have two digits or more, as in 65 × 38, where two rows of partial products are added, and that is what the two 2 by 2 digit sheets on this page are for. The maker on this page makes either kind: set the second number to 2 to 9 for short multiplication or to 11 to 99 for long, though the problems always print on one line.

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