Times table chart
Every multiplication fact from 1 × 1 to 12 × 12 on one multiplication square, how to read it, and the patterns hiding in it.
The 12 by 12 multiplication square
Find one number down the left side and the other along the top. The answer is where the row and the column meet: row 7 and column 8 meet at 56, so 7 × 8 = 56. The square numbers, where a number meets itself, are in bold.
| × | 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 |
Patterns in the chart
It is the same on both sides of the diagonal. 7 × 8 and 8 × 7 are both 56, so once a child knows one fact they know its partner. That halves the work: the 144 answers in the square are only 78 different facts, and leaving out the 1 times table there are 66.
The diagonal is the square numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121 and 144. Each one is a number times itself.
Every row counts up in steps of its number. The 6 row goes 6, 12, 18, 24, adding 6 each time. That is why counting up works in an emergency, and why quick recall is faster.
Shade the facts your child already knows
Mark the tables and single facts your child knows, and the square shrinks to the ones still to learn. Nothing is saved or sent anywhere.
An interactive multiplication square loads here in your browser.
Each table on its own
Questions parents ask
Which answer appears most often in the chart?
12 and 24, six times each. 12 is 1 × 12, 2 × 6 and 3 × 4, and 24 is 2 × 12, 3 × 8 and 4 × 6, each also turned round.
How many different answers are in the chart?
59. Many answers appear more than once, such as 36, which is 3 × 12, 4 × 9 and 6 × 6.
What is the smallest number that is not in the chart?
13. It is a prime number bigger than 12, so no two numbers from 1 to 12 multiply to make it. 17 and 19 are missing for the same reason.
Why does the chart stop at 12 × 12?
The national curriculum in England expects children to recall multiplication facts up to 12 × 12 by the end of Year 4, and the multiplication tables check in June of Year 4 covers the 2 to 12 times tables.
Times tables are the base of 11+ maths
Quick recall of every fact from 2 to 12 is what 11+ arithmetic, fractions and ratio build on. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.