Free Trachtenberg practice

Multiplication by 11 worksheet

Work through 12 problems online, print a clean copy, or download the two-page PDF with its answer key. Check every answer when you finish, then make a fresh worksheet for another round.

The rule in one line

Starting on the right, add each digit to its right-hand neighbour. Carry when the sum is 10 or more. For example, 316 × 11 = 3,476.

See the worked rule before you practise

NumDojo practice sheet

Trachtenberg ×11

Name: ____________________ Date: ____________________

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1.23 × 11 =

2.41 × 11 =

3.67 × 11 =

4.85 × 11 =

5.124 × 11 =

6.316 × 11 =

7.472 × 11 =

8.689 × 11 =

9.1,205 × 11 =

10.2,438 × 11 =

11.5,706 × 11 =

12.8,419 × 11 =

Commas and spaces are accepted in your answers.

What to do after the worksheet

Aim for accuracy first. When you can finish a sheet without a mistake, make a new one and try to complete it a little faster. NumDojo's Trachtenberg path teaches the other multiplier rules and saves your lesson progress.

Continue with the first Trachtenberg lesson

Lesson 41 introduces Jakow Trachtenberg and the structure of the system. It is included in the free lesson set, and no card is required.

Open the free Trachtenberg lesson