How it works

Draft: the owner's legal business name will be added here before launch.

One source for every number

Every chart, times table, quiz question, worksheet and PDF on FreeMultiplicationCharts.com is generated by the same small piece of code that multiplies two whole numbers. Nothing is typed in by hand, so a chart and its PDF can't disagree.

How we check it

• The first 5,050 entries of the On-Line Encyclopedia of Integer Sequences table A003991 (the multiplication table read by antidiagonals) are compared with our code. That is every product where the two numbers add up to 101 or less, which includes the whole 1–50 chart.
• The square numbers on the diagonal are compared with OEIS A000290 (the squares) from 1 to 100.
• Every worked example in the times table tricks is checked automatically, so an example like "9 × 7 = 70 − 7 = 63" can't contain a mistake.
• The counts on the chart pages (squares, different pairs, different answers) are computed from the chart itself.

Quizzes and worksheets

Quiz questions are drawn at random from the tables you choose, without repeating a fact until all of them have been asked. Worksheets use a fixed starting point for each table, so the printed answer key always matches the questions.

Patterns and tricks

The patterns on each times table page (how the last digits repeat, digit sums, factor shortcuts) are worked out from the numbers, not written by hand. The tricks are written by us and each comes with a checked example.