The 9 times table is the one kids end up showing off, because it hides a hand trick and a digit pattern that never fail. It looks tough on paper and turns easy the moment those patterns come into view.
The 9 times table up to 108
| Problem | Answer |
|---|---|
| 9 × 1 | 9 |
| 9 × 2 | 18 |
| 9 × 3 | 27 |
| 9 × 4 | 36 |
| 9 × 5 | 45 |
| 9 × 6 | 54 |
| 9 × 7 | 63 |
| 9 × 8 | 72 |
| 9 × 9 | 81 |
| 9 × 10 | 90 |
| 9 × 11 | 99 |
| 9 × 12 | 108 |
Practice round: quiz yourself
Ten shuffled questions on these facts only, with score and time:
Patterns in the nines column
The nines are the most symmetrical column in the chart: the tens go up 0, 1, 2 … 9 while the ones go down 9, 8, 7 … 0. The digits always add up to 9 through 9 × 10, and the answers come in mirror pairs: 18 and 81, 27 and 72, 36 and 63, 45 and 54. Every answer also sits just below a round number, and the partner tells you how far below: 9 × 4 = 36 is 4 short of 40, 9 × 7 = 63 is 7 short of 70.
Tricks for the nines
The finger trick. Hold up ten fingers; for 9 × 4, fold down finger number four. Left of the fold: 3 fingers (tens). Right: 6 fingers (ones) — 36. Works all the way up to 9 × 10 and remains the best magic trick in elementary math.
Digits always sum to 9. 18, 27, 36, 45… add the digits of any answer and you get 9. Doubly useful: a self-check and a wow-moment in one.
Ten times minus one. 9 × 6 is 10 × 6 minus 6: 60 − 6 = 54. The round neighbor does the heavy lifting.
Common mistakes with the nines
9 × 6 against 9 × 7. 54 and 63 are the classic swap. Run the hand trick — fold down the sixth for 54, the seventh for 63 — or go via ten: 9 × 7 is 70 minus 7.
Counting from the wrong side. In the hand trick, kids sometimes start counting on the right hand and get the digits reversed: 45 instead of 54. Agree on one rule and keep it: always count from the far left.
Digits that add to 9 but sit wrong. 9 × 8 = 81? The digits add up to 9, yet the answer is 72. Add the second rule: the tens digit is one less than the partner, so 9 × 8 has 7 tens.
The 9 times table and division
Each fact here also works backwards: 9 × 7 = 63, so 63 ÷ 9 = 7 and 63 ÷ 7 = 9. A quick check for dividing by 9 up to 90: the answer is the tens digit plus one. 63 ÷ 9 = 7, because 6 + 1 = 7.
| Fact | ÷ 9 | ÷ partner |
|---|---|---|
| 9 × 1 = 9 | 9 ÷ 9 = 1 | 9 ÷ 1 = 9 |
| 9 × 2 = 18 | 18 ÷ 9 = 2 | 18 ÷ 2 = 9 |
| 9 × 3 = 27 | 27 ÷ 9 = 3 | 27 ÷ 3 = 9 |
| 9 × 4 = 36 | 36 ÷ 9 = 4 | 36 ÷ 4 = 9 |
| 9 × 5 = 45 | 45 ÷ 9 = 5 | 45 ÷ 5 = 9 |
| 9 × 6 = 54 | 54 ÷ 9 = 6 | 54 ÷ 6 = 9 |
| 9 × 7 = 63 | 63 ÷ 9 = 7 | 63 ÷ 7 = 9 |
| 9 × 8 = 72 | 72 ÷ 9 = 8 | 72 ÷ 8 = 9 |
| 9 × 9 = 81 | 81 ÷ 9 = 9 | 81 ÷ 9 = 9 |
| 9 × 10 = 90 | 90 ÷ 9 = 10 | 90 ÷ 10 = 9 |
| 9 × 11 = 99 | 99 ÷ 9 = 11 | 99 ÷ 11 = 9 |
| 9 × 12 = 108 | 108 ÷ 9 = 12 | 108 ÷ 12 = 9 |
Word problems with 9
- A baseball team has 9 players on the field. How many players take part in a tournament with 4 teams? 4 × 9 = 36 players.
- Cats are said to have 9 lives. How many lives for the 3 cats next door? 3 × 9 = 27 lives.
- One lap of the park takes 9 minutes on a scooter. How long do 6 laps take? 6 × 9 = 54 minutes.
- A set of colored markers costs 9 dollars. How much for 5 sets for the classroom? 5 × 9 = 45 dollars.
Games for practicing the nines
Magic show. Once the child knows the hand trick, they perform it for a grandparent: the audience calls 9 times any number up to 10, the magician folds one down and announces the answer. Teaching a trick is the fastest way to own it.
Mirror pairs. Write the answers in a column: 09, 18, 27, 36, 45, 54, 63, 72, 81, 90. Ask what the child notices. The tens climb, the ones fall, and pairs flip around: 18 and 81, 27 and 72.
Ten minus one. Say a number; the child says ten of it and then takes one of it away: «7 → 70 → 63». After a few rounds the middle step goes silent and only the answer remains.
When to learn the nines
Fairly early for a «hard» set: once the tens are known, the finger trick makes it a quick win. A five-day starter plan, about ten minutes a day:
- Day 1. Learn the hand trick and use it freely.
- Day 2. Mirror pairs on paper: what does the child notice?
- Day 3. Ten minus one for 9 × 11 and 9 × 12.
- Day 4. The quiz with hands in pockets; they come out only to check an answer afterwards.
- Day 5. The magic show for a guest.
Keep the rounds short and always out of order. Once the 9 times table runs smoothly, the times-tables system shows the full learning order and the six hardest facts.