By Michael Hartley
Elsewhere on this site, I gave some general times tables tips. On this page, we'll zoom in on the twelve times table. You can use this page to show your kids the hidden patterns in the twelve times table, and make it easier for them to learn. If you can somehow get you kids to find these patterns for themselves, they'll remember them much longer than if you simply point the patterns out to them.
I've put the twelve times table below. By the way, this site also has some free printable times table charts for you to download, including the 12 times table.
12 | x | 1 | = | 12 |
12 | x | 2 | = | 24 |
12 | x | 3 | = | 36 |
12 | x | 4 | = | 48 |
12 | x | 5 | = | 60 |
12 | x | 6 | = | 72 |
12 | x | 7 | = | 84 |
12 | x | 8 | = | 96 |
12 | x | 9 | = | 108 |
12 | x | 10 | = | 120 |
12 | x | 11 | = | 132 |
12 | x | 12 | = | 144 |
Note first that 12 is 10 + 2, so 12 x something is 10 x something + 2 x something, Since the 10 and 2 times tables are often the first ones a child works out, they might be able to work out the twelve times table like this. Certainly the addition is easy enough for the first four rows in the table.
12 | x | 1 | = | 10 | + | 2 | = | 12 |
12 | x | 2 | = | 20 | + | 4 | = | 24 |
12 | x | 3 | = | 30 | + | 6 | = | 36 |
12 | x | 4 | = | 40 | + | 8 | = | 48 |
And of the ones digits
The pattern in the ones digits continues forever :
Notice this in the table below.
12 | x | 1 | = | 12 |
12 | x | 2 | = | 24 |
12 | x | 3 | = | 36 |
12 | x | 4 | = | 48 |
12 | x | 5 | = | 60 |
12 | x | 6 | = | 72 |
12 | x | 7 | = | 84 |
12 | x | 8 | = | 96 |
12 | x | 9 | = | 108 |
12 | x | 10 | = | 120 |
12 | x | 11 | = | 132 |
12 | x | 12 | = | 144 |
12 | x | 1 | = | 12 |
12 | x | 2 | = | 24 |
12 | x | 3 | = | 36 |
12 | x | 4 | = | 48 |
12 | x | 5 | = | 60 |
12 | x | 6 | = | 72 |
12 | x | 7 | = | 84 |
12 | x | 8 | = | 96 |
12 | x | 9 | = | 108 |
12 | x | 10 | = | 120 |
12 | x | 11 | = | 132 |
12 | x | 12 | = | 144 |
12 | x | 13 | = | 156 |
12 | x | 14 | = | 168 |
12 | x | 15 | = | 180 |
begin with 0, 1, 2, 3 and 4,
and end in 0, 2, 4, 6 and 8.
begin with 6, 7, 8, 9 and 10,
and end in 0, 2, 4, 6 and 8.
begin with 12, 13, 14, 15 and 16,
and end in 0, 2, 4, 6 and 8.
To close, I'll give some times tables questions. Work them out, and you'll see you the twelve times table is related to many many others!
What is 12 x 1 ? | _______ | 6 x 2 ? | _______ | 4 x 3 ? | _______ | 3 x 4 ? |
What is 12 x 2 ? | _______ | 6 x 4 ? | _______ | 4 x 6 ? | _______ | 3 x 8 ? |
What is 12 x 3 ? | _______ | 6 x 6 ? | _______ | 4 x 9 ? | _______ | 3 x 12 ? |
What is 12 x 4 ? | _______ | 6 x 8 ? | _______ | 4 x 12 ? | _______ | 3 x 16 ? |
What is 12 x 5 ? | _______ | 6 x 10 ? | _______ | 4 x 15 ? | _______ | 3 x 20 ? |
What is 12 x 6 ? | _______ | 6 x 12 ? | _______ | 4 x 18 ? | _______ | 3 x 24 ? |
What is 12 x 7 ? | _______ | 6 x 14 ? | _______ | 4 x 21 ? | _______ | 3 x 28 ? |
What is 12 x 8 ? | _______ | 6 x 16 ? | _______ | 4 x 24 ? | _______ | 3 x 32 ? |