Which problems can I make?

2, 3 or 4 digits times 1 digit, and 2 or 3 digits times 2 digits.

Is there room for the working?

Yes. Problems with a two-digit bottom number have two lines for the partial products, then a line for the total.

What does the answer key show?

The final product, and for two-digit multipliers both partial products, so you can see where a mistake happened.

Why are there no zeros or ones in the bottom number?

Multiplying by 0 or 1 skips the real work, so every digit of the bottom number is 2 to 9.

Long Multiplication Worksheets: 2-Digit to 3-Digit by 2-Digit, With Answer Keys

Step by step

2 digits by 1. Multiply the ones, carry, then multiply the tens.
3 and 4 digits by 1. The same steps across more columns.
2 digits by 2. Two partial products, one for the ones and one for the tens, then add them.
3 digits by 2. Bigger numbers, the same method.

Times tables first

Long multiplication goes smoothly once the facts are automatic. If they are not yet, practice with the times tables worksheets alongside.

Provincial curriculum links

BC Grade 4Multiplying two- or three-digit numbers by one-digit numbers, with flexible strategies and real-life problems.
BC Grade 5Multiplication to three digits, using strategies such as decomposing and the distributive principle.
ON Grade 4Multiplication facts from 1 × 1 to 10 × 10.
ON Grade 5Multiplication facts from 0 × 0 to 12 × 12.

The partial products on the two-digit sheets show the distributive principle that BC names in Grade 5: 47 × 23 is 47 × 20 plus 47 × 3. Students who have drawn area models on centimetre grid paper will recognize each line of working as one part of the rectangle.

Ontario’s fact targets help here: by Grade 5 students are expected to know their facts up to 12 × 12, so the one-digit-multiplier sheets fit Grade 4 and the two-digit sheets fit Grade 5 and up.

Summarized in our own words from the BC Mathematics curriculum (Grades 4–5) and Ontario’s overview of The Ontario Curriculum, Grades 1–8: Mathematics (2020).