I covered the 1 to 10 times tables in the post How to Learn Your Times Tables Fast but it helps to also learn your 11 and 12 times tables. We looked at the 11 times table. Here are one or two tips to remember the 12 times table.

At first sight the twelve times table seems more difficult than the eleven times table:-

- 1 x 12 = 12
- 2 x 12 = 24
- 3 x 12 = 36
- 4 x 12 = 48
- 5 x 12 = 60
- 6 x 12 = 72
- 7 x 12 = 84
- 8 x 12 = 96
- 9 x 12 = 108
- 10 x 12 = 120
- 11 x 12 = 132
- 12 x 12 = 144

In this table I have tried to space the answers so that the first digits (tens) and last digits (units) are lined up.

The first digits (tens) have a pattern: 1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14– just count upwards but every 5^{th} number jump 2. This is because when you are multiplying by 12 you are multiplying by 10 + 2– so at every fifth sum you jump by ten (5 x 2).

The last digits also have a pattern: 2, 4, 6, 8, 0, 2, 4, 6, 8, 0, 2, 4 — count in twos but when you get to 1o (becomes zero) you go back to 2.

This is all best understood using an example. What is 7 x 12.

Let’s do the tens first. So just count but jump 2 every fifth number (if you count on your fingers and thumb– its a good reminder to jump) and we need the seventh number in the sequence:

1, 2, 3, 4, 6, 7, 8

So the tens = **8**

Next the units and the seventh number in the sequence:

2, 4, 6, 8, 0, 2, 4

So the units = **4**

and our answer is **84**

Just keep practicing.

For example what about 12 x 12?

Let’s do the tens first. So just count but jump 2 every fifth number and we need the twelth number in the sequence:

1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14

So the tens = **14**

Next the units and the seventh number in the sequence:

2, 4, 6, 8, 0, 2, 4, 6, 8, 0, 2, 4

So the units = **4**

and our answer is **144**

I came up with these methods for the 11 and 12 times as a result of a comment left in my original “How to Learn Your Times Table Fast” post. Do you have better tricks for the eleven and twelve times tables? Do you think these techniques work, or is best to just learn through repetition? I think a mixture of learning tricks and repetition is best and that thinking about the techniques and the logic behind them helps to secure the tables in your memory. It would be great to hear your opinion.