La Fonction

Multiplication table blank

The 12 × 12 grid above is the one to print. Below is the fastest order to fill a blank chart in, and the symmetry check that catches a wrong answer before it sticks.

The grid, ready to print

×123456789101112
1123456789101112
224681012141618202224
3369121518212427303336
44812162024283236404448
551015202530354045505560
661218243036424854606672
771421283542495663707784
881624324048566472808896
9918273645546372819099108
10102030405060708090100110120
11112233445566778899110121132
121224364860728496108120132144

Every value is real text — select the table and paste it straight into a spreadsheet or a document.

Print it first

Use your browser’s print command. Portrait fits the whole 12 × 12 grid on one sheet. Print several copies. One chart filled in slowly is worth more than ten copied in a hurry.

The order that makes it quick

  1. The 1, 2, 5 and 10 lines. Rows and columns both. That is a third of the grid gone in a couple of minutes.
  2. The diagonal. 1 × 1, 2 × 2, on up to 12 × 12. These are the square numbers, and they cut the grid neatly in half.
  3. Mirror across the diagonal. 7 × 4 and 4 × 7 are the same number, so every cell you fill on one side hands you its partner on the other. That halves everything still empty.
  4. The awkward block. What remains is 3, 4, 6, 7, 8, 9, 11 and 12 crossed with each other. Get 4s by doubling the 2s, 6s by doubling the 3s, 8s by doubling the 4s.

The check that finds mistakes on its own

Read the mirrored pairs. The cell at row 7, column 8 must hold the same number as row 8, column 7. If they disagree, one of the two is wrong and you have found it without an answer key.

Second check: each row climbs by a fixed step. The 6 row goes 6, 12, 18, 24, 30 — always six more. A step that breaks is an error, and it is usually the cell after the break, not before it.

If one fact will not stick

Fill only that row on a fresh sheet, three or four times across a week. Nine has a shortcut worth knowing: 9 × n is ten n’s minus one n, so 9 × 7 = 70 − 7 = 63. The digits of every answer in the 9 row also add up to nine.

Need the answers to check against? The filled version is at times table 1-12. For mixed practice questions rather than a grid, try the multiplication table worksheet, and see multiplication charts for the other sizes.