Multiplication by 9 worksheets

The nine times table looks like the hardest and is secretly the most patterned in the grid. These free printable worksheets cover 9 × 1 through 9 × 10, and most children finish the first page faster than they expected.

Kid stuck on one? You don’t just get the sheet.

Multiplication by 9
Multiplication by 9 worksheet — 9 × 1 to 9 × 10, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

The strategy is one group short of ten. 9 × 7 is 10 × 7 = 70 minus one seven, which is 63. Since the ten times table is the easiest thing a child owns, every nine fact is a single subtraction away from being free, and this is the honest version of the tricks that usually get taught for this table.

Why this sheet works

The digits of every answer add to nine — 18, 27, 36, 45, 54, 63, 72, 81 — which gives a child something the other tables do not have: a way to check an answer without knowing the fact. If the digits do not sum to nine, the answer is wrong. That is a real mathematical property, not a memory aid, and it is the first time many children meet the idea that arithmetic can be verified rather than merely recalled.

How this one works

One question from this sheet, worked through a step at a time.

3 × 9

3×9
9 + 9 + 9=27
3 × 10=30
303=27
3×9=27
  1. 3 × 9 means 3 groups with 9 in each one — 3 rows of 9. The answer counts everything in all of them, not one row.
  2. That is 3 lots of 9, added up: 9 + 9 + 9 = 27. The × sign is short for exactly that sum.
  3. Nines are the easy ones. 3 × 10 = 30, and nine groups is one group short of ten — so take one 3 back off: 30 − 3 = 27.
  4. So 3 × 9 = 27.