Division by 9 — Worksheet
Nines divide with a secret shortcut: this division by 9 worksheet has twenty problems for ages 8-10, from 81 ÷ 9 at the top to 63 ÷ 9 at the bottom.
2 A4 pages · for home and classroom use
Labugen
Dividing by 9
set no. 7109
- 1.81 ÷ 9 =
- 2.9 ÷ 9 =
- 3.54 ÷ 9 =
- 4.18 ÷ 9 =
- 5.45 ÷ 9 =
- 6.27 ÷ 9 =
- 7.63 ÷ 9 =
- 8.90 ÷ 9 =
- 9.72 ÷ 9 =
- 10.36 ÷ 9 =
- 11.72 ÷ 9 =
- 12.27 ÷ 9 =
- 13.18 ÷ 9 =
- 14.90 ÷ 9 =
- 15.45 ÷ 9 =
- 16.36 ÷ 9 =
- 17.54 ÷ 9 =
- 18.9 ÷ 9 =
- 19.81 ÷ 9 =
- 20.63 ÷ 9 =
How to use this worksheet
- Look at problem 3, 54 ÷ 9. Its tens digit is 5, and the answer is one more: 6.
- Test the shortcut on problems 1 to 10, which contain every fact once, and confirm each answer with multiplication.
- Solve problems 11 to 20, which contain every fact again in a new order.
- Check with the answer page and note whether the shortcut worked every time.
What this worksheet teaches
Every problem divides a multiple of 9, from 9 to 90, by 9, so all answers are whole numbers from 1 to 10 with no remainders. Each fact appears exactly twice. The page builds on the 9 times table and its patterns, which help children check themselves instead of guessing.
The tens digit gives it away
For the multiples of 9 from 9 to 90, the answer of dividing by 9 is always one more than the tens digit: 72 ÷ 9 = 8, 36 ÷ 9 = 4, 90 ÷ 9 = 10. For 9 itself, the tens digit is 0, so the answer is 1. The pattern exists because the digits of these multiples always add up to 9: the tens digit plus one tells how many nines fit.