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Learn Your Multiplication Tables

Train using the Math Trainer - Multiplication,
and if you are really good try Reaction Math.

Here is the full 12 Times Table:

× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144

We have printable version of this table in black and white, color, or small (exercise book) size.

Print one and put it on your wall, or paste it in an exercise book.

How to Learn

Honestly, your life will be a lot easier when you can remember the multiplication tables. So ... train your memory!

There is the Math Trainer - Multiplication just for this. It is specially designed to help you memorize the tables.

Use the "Math Trainer" a few times a day for about 5 minutes each, and you will learn your tables. Try it for 5 minutes now, and then come back and read some more.

Tip Number One: Order Does Not Matter

When you multiply two numbers, it does not matter which is
first or second, the answer is always the same.

Example: 3×5=15, and 5×3=15

Example: 2×9=18, and 9×2=18


 

In fact, it is like half of the table is a mirror image of the other!

So, don't memorise both "3×5" and "5×3", just memorise that "a 3 and a 5 make 15" when multiplied.

This is very important! It nearly cuts the whole job in half.


In your mind you should think of 3 and 5 "together" making 15, so you should be thinking something like this:

Tip Number Two: Learn the Tables in "Chunks"

It is too hard to put the whole table into your memory at once. So, learn it in "chunks" ...

  A   Start by learning the 5 times table.
  B   Then learn up to 9 times 5.
  C   Is the same as B, except the questions are the other way around. Learn it too.
  D   Lastly learn the "6×6 to 9×9" chunk
       
  Then bring it all together by practicing the whole "10 Times Table"

And you are done!

(Except if you need to learn the 12x table ... see below for that)

Some Patterns

There are some patterns which can help you remember

is just doubling the number. The same as adding the number to itself.

2×2=4, 2×3=6, 2×4=8, etc.

So the pattern is 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

(And once you remember those, you also know 3×2, 4×2, 5×2, etc., right?)

has a pattern: 5, 10, 15, 20, etc. It always end in either a 0 or a 5.

10× is maybe the easiest of them all ... just put a zero after it

10×2=20, 10×3=30, 10×4=40, etc.

has a pattern, too: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Now, notice how the the "units" place goes down: 9,8,7,6, ...? And at the same time, the "tens" place goes up: 1,2,3,...?

You can use this pattern to prompt your memory this way: the tens place will be 1 less than what you are multiplying by!

Example: 9×7 ... go 1 less than 7, so the tens place is 6, and then remember 63


What about the 12 times table?

Sounds tough, but once you have mastered the 10× table, it is just a few steps away.

Firstly, 11× is mostly easy: from 11×2 to 11×9 you just put the two digits together. 11×2=22, 11×3=33, ..., 11×9=99.
   

And of course 2×, 5× and 10× just follow their simple rules you know already, so it just leaves these to remember:

  • 3×12=36,
  • 4×12=48,
  • 6×12=72,
  • 7×12=84,
  • 8×12=96,
  • 9×12=108
   

And the "Big 3":

  • 11×11=121,
  • 11×12=132 and
  • 12×12=144

More

I also have a longer list of multiplication tips and tricks if you are interested.

You can test yourself using the times tables test.

You can try out Speed Math.

And if you are really good, see if you can beat the high scores at Reaction Math.