1 times table, the table where nothing changes.

The 1 times table is the shortest one to learn, because 1 × k = k for every number. One group of 7 is 7, one group of 12 is 12. That is why 1 is called the identity for multiplication: it leaves any number unchanged. The tool above shows the table, hides the answers for a self-test, runs a scored practice quiz and prints a chart or sheet.

How to use the 1 times table tool

1. Click Table to see the facts, the patterns for this number and the skip counting line. Go up to shows the table to 10, 12, 15 or 20.
2. Tick Hide the answers to test yourself. Tap a row to reveal its answer.
3. Click Practice quiz, then Start the quiz. Type each answer and press Enter. A wrong answer shows a quick way to work it out.
4. Under Quiz questions choose 10, 20, 30 or every fact once. Tick Ask both ways round or Include division to make the quiz harder.
5. At the end, read your score and click Practise the missed ones to go over only the facts you got wrong.
6. Use Print table for a clean sheet, Print practice sheet for a blank one, Copy table to paste the list, and Copy link to share your settings.

The 1 times table, 1 to 12

What stays the same, and what to watch for

• The answer is the question number. 1 × 1 = 1, 1 × 6 = 6, 1 × 12 = 12, 1 × 100 = 100.
• The order does not matter. 1 × 8 = 8 and 8 × 1 = 8. The first line of the 8 table is the 1 table fact turned around.
• Division by 1 is the same idea. 12 ÷ 1 = 12, because 1 × 12 = 12.
• Do not mix it up with zero. Any number times 0 is 0, but any number times 1 is itself. 7 × 0 = 0, 7 × 1 = 7.

Why the 1 table still matters

Every other table starts here. 2 × 1 = 2, 3 × 1 = 3, and so on up to 12 × 1 = 12. When you can say that the first fact in any table is the table number, you already know twelve facts. The 1 table also shows the pattern that every later table is built on: each step adds one more group. Going from 1 × 5 to 1 × 6 adds 1. Going from 8 × 5 to 8 × 6 adds 8.

Last digits and odd or even

The ones digit goes 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 and then repeats every ten steps, so 1 × 10 = 10 ends in 0 and 1 × 11 = 11 ends in 1. The answers alternate odd, even, odd, even, because they are just the counting numbers.

Worked examples

• One of each. 1 bag with 6 apples in it holds 1 × 6 = 6 apples.
• Missing number. 1 × ? = 9. The answer is 9.
• Division. 11 ÷ 1 = 11, because 1 × 11 = 11.
• Big numbers. 1 × 20 = 20, and 1 × 100 = 100. The rule never changes.
• Turn it round. 12 × 1 = 12 is the same fact as 1 × 12 = 12.

Beyond 12: 1 × 13 to 1 × 20

Set Go up to to 20 and the tool shows these as well. For any of them, split the number: 1 × 13 is 1 × 10 plus 1 × 3, which is 10 + 3 = 13.

Common mistakes

• Saying 1 × 7 = 8 by adding instead of multiplying. 1 + 7 = 8, but 1 × 7 = 7.
• Mixing up times 1 and times 0. Times 1 keeps the number; times 0 gives 0.
• Skipping the 1 table when you test the full chart. Run the quiz once with Ask both ways round, so 12 × 1 is asked as well.

A way to learn it

This table needs one idea, not twelve facts. Say the rule out loud, take the quiz once to check, then move on to the 2 times table. When you want to test all twelve tables at once, use the times tables chart.

Next, try the 2 times table, or go back to the 12 times table. To see every table in one grid, use the times tables chart. To make your own cards, try the flashcard maker.