The 9 times table has some of the most useful patterns in multiplication. Its answers follow a predictable sequence, and there are several mental-math shortcuts that can help you calculate a difficult fact without starting from the beginning.
Use the interactive lesson below to learn the table of 9 from 9 × 1 to 9 × 12, explore its digit patterns, practice the facts you find difficult, and test how quickly you can answer them.
The shortcut
Multiply by 10, then subtract the original number.
For example: 9 × 7 = 70 − 7 = 63
Learn • Practice • Master
9 Times Table
Learn the 9 times table from 1 to 12, practice the facts you miss, then test your speed.
Multiplication chart
9 Times Table Chart
| Calculation | 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 |
Memory helper
See the pattern
Practice mode
Build accuracy
What is
Speed test
How many can you answer?
Answer as many 9 times table questions as you can before the timer ends.
Speed question
Mental math shortcut
Use the 10 Times Table to Multiply by 9
Because 9 is one less than 10, you can calculate a 9 times table fact by first multiplying by 10 and then subtracting one group of the original number.
9 × 5 = 45
9 × 7 = 63
9 × 8 = 72
To calculate 9 × 6:
10 × 6 = 60
60 − 6 = 54
Therefore, 9 × 6 = 54.
This is a useful strategy because multiplication by 10 is usually easy to calculate mentally. Instead of memorizing an unfamiliar answer, you can build it from a multiplication fact you already know.
Spot the pattern
Watch the Tens Go Up and the Ones Go Down
From 9 × 1 through 9 × 10, the digits in the answers follow an interesting pattern. The tens digit increases by 1 while the ones digit decreases by 1.
18
27
36
45
54
63
72
81
90
99
108
Look at the middle of the sequence:
36 → 45 → 54 → 63 → 72 → 81
The tens increase while the ones decrease.
This pattern is especially easy to see between 9 × 2 = 18 and 9 × 9 = 81. It can help you remember the order of the answers, but you should still practice recalling each multiplication fact on its own.
Digit trick
The Digits of Multiples of 9 Add Up to 9
There is another useful pattern in the 9 times table. For the two-digit multiples from 18 through 99, adding the digits together gives 9.
= 9
= 9
= 9
The pattern continues with larger multiples, although you may need to add the digits more than once. For example, 9 × 12 = 108, and 1 + 0 + 8 = 9.
This is related to the divisibility rule for 9: if the digits of a whole number add up to a multiple of 9, the number itself is divisible by 9.
Useful check: 9 × 8 = 72 and 7 + 2 = 9, so the digit pattern agrees with the answer.
A visual memory trick
Use Your Fingers for 9 × 1 Through 9 × 10
There is a well-known finger trick that can help with the first ten facts in the 9 times table.
Hold both hands in front of you with all ten fingers visible. Number your fingers from 1 to 10, starting from the left. To calculate a multiplication fact, fold down the finger that matches the number you are multiplying by 9.
For 9 × 4, fold down finger 4.
There are 3 fingers to its left and 6 fingers to its right.
Put those digits together: 36.
Therefore, 9 × 4 = 36.
For 9 × 7, fold down the seventh finger. You have 6 fingers before it and 3 after it, giving 63.
This trick is useful while learning the table, although the long-term goal is to recall the multiplication facts without needing your fingers.
Learn nearby answers
Move Through the Table by Adding or Subtracting 9
Every answer in the 9 times table is exactly 9 away from the next one. If you remember one fact, you can use it to find a nearby answer.
9 × 7 = 63
9 × 9 = 81
9 × 9 = 81
For example, if you know 9 × 8 = 72 but forget 9 × 7, subtract 9 from 72 to get 63.
Put the patterns to work
9 Times Table Practice Questions
Try each problem mentally before opening the answer. Use the ×10 minus one group strategy or one of the digit patterns if you need help.
Use the 10 times table to find 9 × 4.
What is 9 × 6?
What is 9 × 7?
If 9 × 8 = 72, what is 9 × 9?
What is 9 × 11?
What is 9 × 12?
Build faster recall
Multiplication Facts Worth Practicing
The patterns in this table are excellent tools for working out an answer, but eventually you should aim to recognize the most common facts immediately.
9 × 6 = 54
9 × 7 = 63
9 × 8 = 72
9 × 9 = 81
9 × 11 = 99
9 × 12 = 108
Start by using a shortcut when necessary, then repeat the same fact until you no longer need the intermediate calculation.
The interactive tool above can help you do this. Use Practice for random questions, Practice mistakes for facts you missed, and the timed test when you want to work on speed.
Quick answers
9 Times Table Questions
What is 9 × 5?
9 × 5 = 45.
What is 9 × 6?
9 × 6 = 54. You can calculate 60 − 6 to get 54.
What is 9 × 7?
9 × 7 = 63.
What is 9 × 8?
9 × 8 = 72. Start with 10 × 8 = 80 and subtract 8.
What is 9 × 9?
9 × 9 = 81.
What is 9 × 11?
9 × 11 = 99.
What is 9 × 12?
9 × 12 = 108.
What is the easiest trick for the 9 times table?
A reliable mental-math method is to multiply the number by 10 and subtract the number once. For example, 9 × 8 can be calculated as 80 − 8 = 72.
Why do the digits in multiples of 9 add up to 9?
For the two-digit multiples from 18 to 99, the digits add directly to 9. More generally, the digit sum of any whole-number multiple of 9 is itself a multiple of 9; repeatedly adding the digits eventually gives 9 for a positive multiple of 9.
