How it works
Free 3 digit by 1 digit multiplication worksheets are sorted by what makes a problem hard: how many carries, where a zero sits and how big the multiplier is. The answer key prints on its own page.
Read the full guide
Why the sheets are sorted by carries
A 3-digit × 1-digit problem is three times tables facts and up to two carries. The first group under Sheet type adds carries one at a time. It starts with none (213 × 3), then one out of the ones (216 × 4), one out of the tens (152 × 3), then two (426 × 7).
Zeros, and the carry nobody sees
In 406 × 7 the carried 4 is the whole tens digit. In 302 × 4 nothing is carried, so a 0 has to be written in: 1,208, not 128. In 134 × 3 the tens are only 9, but the carried 1 makes 10 and sends a second carry on.
- Estimate before a test: 687 × 4 is about 2,800, so 2,428, the answer with both carries dropped, looks wrong at once.
- When a page goes slowly, check the facts first: print the Warm-up on the 6, 7, 8 and 9 times tables.
Questions and answers
Which grade is a 3 by 1 multiplication worksheet for?
Fourth grade in the United States. Common Core 4.NBT.5 covers up to four digits by one digit, and Texas 4.4(D) sets the same limit and names the standard algorithm. England's curriculum places 3-digit × 1-digit in Year 4 and calls the written method short multiplication.
How is this different from 2-digit by 1-digit?
One more column and one more chance to carry. A 2-digit × 1-digit problem carries once at most. A 3-digit number can carry out of the ones and again out of the tens, and the second carry can depend on the first.
What comes after 3-digit by 1-digit?
In the Common Core, 4-digit × 1-digit and 2-digit × 2-digit, both still in grade 4. The first is the same routine with a third carry. The second is the real step up, because it needs two rows of working and an addition.