Memorising times tables by brute force fades. Understanding the six strategies behind them lasts a lifetime — and makes recall faster in the process.
Multiplication tables are not a list to memorise — they are a set of patterns to understand. Learn the patterns, and the facts become obvious rather than forgettable.
Most students are handed a multiplication grid and told to remember it. This works for a while, but the facts fade because they were never anchored to meaning. This guide takes the opposite approach: six strategies that show why each fact is true, so that even if a number is forgotten under pressure, it can be rebuilt in seconds.
Work through each strategy, try the worked examples, then test your fluency in the Practice Arena and the quiz below.
Multiplication is a shortcut for adding the same number again and again. 4 × 3 means "four groups of three," or 3 + 3 + 3 + 3. Seeing multiplication this way turns an abstract fact into something you can picture — and count, if you ever get stuck.
A classroom has 5 tables, each seating 6 students. Instead of counting one by one, 5 × 6 gives the total instantly: 6 + 6 + 6 + 6 + 6 = 30.
Skip counting is the bridge between addition and multiplication. Counting "5, 10, 15, 20…" is the same as reciting the 5-times table one step at a time. Practising skip counting out loud, or with claps and jumps, builds the rhythm that later recall depends on.
To find 5 × 7, skip count in fives seven times: 5, 10, 15, 20, 25, 30, 35. The seventh number reached is the answer.
An array arranges objects into rows and columns. A 4-by-6 array of dots has 4 rows of 6 — and counting the dots always gives the same total no matter which way you count them. This is what makes multiplication commutative, a fact used constantly in the strategies below.
A muffin tray with 3 rows of 4 muffins holds 12 muffins. Turn the tray sideways and it becomes 4 rows of 3 — still 12. The picture proves 3 × 4 = 4 × 3 without any calculation.
If you know your 2-times table, you already know far more than it seems. Doubling a fact twice gives the 4-times table; doubling three times gives the 8-times table. This single strategy quietly covers three tables at once.
To find 6 × 8: double 6 to get 12 (that's 6 × 2), double again to get 24 (6 × 4), double once more to get 48 (6 × 8).
The 9-times table has a pattern that makes it one of the easiest to master, not the hardest. For any 9 × n (where n is 1–10), the tens digit of the answer is always one less than n, and the two digits always add up to 9.
For 9 × 7: one less than 7 is 6 (the tens digit). Since 6 + 3 = 9, the ones digit is 3. The answer is 63 — check: 9 × 7 = 63.
A physical version: hold up ten fingers and fold down the finger matching the number you are multiplying by 9. The fingers to the left of the folded one are the tens digit; the fingers to the right are the ones digit.
Because 3 × 7 always equals 7 × 3, every times table fact you learn is really two facts learned at once. This alone cuts the number of "new" facts to memorise nearly in half — a fact worth remembering when a table looks intimidating.
Struggling with 8 × 3? Flip it to 3 × 8. If the 3-times table feels more familiar, use it — the answer, 24, is identical either way.
The trickiest facts (like 7 × 8 or 6 × 9) can be broken into two easier pieces using the distributive property: split one factor into a sum, multiply each part separately, then add the results back together.
7 × 8 = 7 × (10 − 2) = (7 × 10) − (7 × 2) = 70 − 14 = 56. Alternatively: 7 × 8 = (5 × 8) + (2 × 8) = 40 + 16 = 56.
Different facts respond better to different strategies. Over time, most students settle into using two or three favourites — but knowing all six means there is always a fallback when memory alone is not enough.
| Situation | Best Strategy | Why It Works |
|---|---|---|
| Small numbers, unsure of the pattern | Skip counting | Builds the sequence step by step |
| Visualising a real grouping | Arrays | Shows the total directly, proves commutativity |
| ×4 or ×8 facts | Doubling | Reuses the easier ×2 facts |
| Any ×9 fact | Nines trick | Digit pattern gives instant answers |
| Table feels unfamiliar (e.g. ×7) | Commutative flip | Swaps to a more familiar table |
| Large or "stuck" facts (7×8, 6×9) | Decomposition | Splits into two manageable pieces |
A baker needs to scale a recipe that makes 6 loaves, but a catering order calls for 8 batches. Rather than adding six repeatedly, the baker uses doubling: 6 × 2 = 12, 12 × 2 = 24, 24 × 2 = 48 loaves for 8 batches — the same doubling strategy used above, applied instantly in a working kitchen.
A student who only memorises facts has nothing to fall back on when a fact slips their mind under exam pressure. A student who understands these six strategies can always rebuild the answer — and, over time, stops needing to rebuild it at all, because the patterns make the facts stick on their own.
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