Times-tables tricks — patterns that save time

Times-tables tricks — patterns that save time

Times-tables tricks

The times tables look like 100 facts to learn. With a few tricks, you really only need to memorise about half. Here they are.

Trick 1 — commutativity (the order doesn't matter)

a × b = b × a

So 4 × 9 and 9 × 4 give the same answer (36). If you've already learnt one, you've already learnt the other. That cuts the work in half.

Trick 2 — doubling

If you know the 2× table, the 4× table is just double. The 8× table is double-double.

3 × 7 = 21

6 × 7 = 42 (double)

12 × 7 = 84 (double again — bonus!)

The 4× and 8× tables both come from the 2× table this way.

Trick 3 — split into two

When a number is hard, split it into two friendly parts.

6 × 8 = ?

6 × 8 = 6 × 5 + 6 × 3

= 30 + 18

= 48

You replaced one tricky fact with two easy ones (5× and 3× table).

Trick 4 — patterns in single tables

Each table has its own little signature:

TablePattern
2always even
5ends in 0 or 5
9digits add up to 9
10always ends in 0
11 (bonus)the digit repeats: 11, 22, 33, …, 99

Trick 5 — the symmetric grid

When you write the full 10×10 multiplication grid, the diagonal cuts it into two halves that are mirror images. That's commutativity again — every fact above the diagonal has a twin below it.

Multiplication grid 10×10 with the diagonal highlighted

How to actually get fast

Speed comes from practice in short bursts. Five minutes a day for two weeks beats one long session.

  • Day 1–2: 2× and 10× tables (warm-up).
  • Day 3–4: 5× and 4× tables.
  • Day 5–6: 3× and 6× tables.
  • Day 7–8: 9× table (with the finger trick!).
  • Day 9–10: 7× table — only the two genuinely new facts.
  • Day 11+: full mixed practice.

Aim for an answer in under 3 seconds. When that happens for every fact, you have it.

Try it

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