Multiplication by 13 worksheets

Thirteen is the first table past the traditional grid, and it is built entirely from two tables a child already knows. These free printable worksheets cover the thirteen times table, 13 × 1 through 13 × 15, for a child who has finished the twelves.

Multiplication by 13
Multiplication by 13 worksheet — 13 × 1 to 13 × 15, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

Split every thirteen into a ten and a three. 13 × 7 is 10 × 7 = 70 plus 3 × 7 = 21, which makes 91. Both halves are facts a child answers without thinking, so the only new work is one addition — and that addition is where the practice actually goes.

Why this sheet works

The facts that trip children up are the ones where the addition carries: 13 × 8 = 80 + 24 = 104 and 13 × 9 = 90 + 27 = 117. Past ten the ten-part grows a digit, so 13 × 12 = 120 + 36 = 156 and 13 × 15 = 150 + 45 = 195. Once those land, 13 × 13 = 169 is worth keeping as a fact on its own.

How this one works

13 × 13

13×13
13 × 13=13 × 13
13 × 5=65
13 × 8=104
65+104=169
13×13=169
  1. 13 × 13 means 13 groups with 13 in each one — 13 rows of 13. The answer counts everything in all of them, not one row.
  2. Added up, that is 13 written 13 times — that is a lot of adding. Turn it round: 13 × 13 is the same amount, and it is only 13 lots of 13 to add instead.
  3. If 13 × 13 will not come, split the 13 at five: 13 × 5 = 65, and 13 × 8 = 104. Together that is 65 + 104 = 169.
  4. So 13 × 13 = 169.