3G. 11s and 12s

3G · Develop strategies
11s and 12s
One more table · The 11s

Look at the pattern

The 11 times table starts with a lovely pattern.

The same digit appears twice.
1 × 11
1 1
2 × 11
2 2
3 × 11
3 3
4 × 11
4 4
5 × 11
5 5
6 × 11
6 6
7 × 11
7 7
8 × 11
8 8
9 × 11
9 9
A method that goes further

Build 11 from 10 + 1

This is the important idea: use a multiplication you already know, then add one more group.
11 = 10 + 1
Calculate 11 × 7.
Split 11 into 10 + 1, then multiply each part by 7.
11 × 7
10 × 7
1 × 7
Now add the results.
70 + 7 = 77
This idea is useful beyond the 11s.
For any number above 10, start with the tens you know and add the extra part.
11
10 1
11 = 10 + 1
12
10 2
12 = 10 + 2
For example:
12 × 7 = 10 × 7 + 2 × 7
70 + 14 = 84
One last special table · The 12s

12 is a special number

There are lots of useful ways to build 12.

12 = 2 × 6
double the 6s
12 = 3 × 4
triple the 4s
12 = 10 + 2
build up from 10

So for a 12-times-table fact, you can choose whichever route looks easiest.

Calculate 12 × 6.
Use 12 = 2 × 6.
12 = 2 × 6
So first calculate:
6 × 6 = 36
Then double the result:
2 × 36 = 72
Calculate 12 × 8.
Split 12 into 10 + 2, then multiply each part by 8.
12 × 8
10 × 8
2 × 8
Now add the results.
80 + 16 = 96
Calculate 12 × 12.
Use 12 = 3 × 4.
12 = 3 × 4
First calculate:
4 × 12 = 48
Then multiply by 3:
3 × 48 = 144
The important part is not using one fixed trick.
Look at the numbers and choose a route that makes the calculation easier.
Have a try

Practise 11s and 12s

12 × 7
This counts towards your Times Tables Recall progress.
📝 Learning stage: use paper, a whiteboard or a chalkboard if it helps. Work things out. This is practice for understanding — not a test of instant recall.
Build from 10 if you need to.
11 = 10 + 1   ·   12 = 10 + 2
You can stop here.
Repeat this strategy as often as you need before moving on.
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