How to Learn Times Tables

The method, step by step

1. 01

   Start with the tables you almost know

   2 × 6 = 12 5 × 6 = 30 10 × 6 = 60

   The 2, 5 and 10 tables follow patterns a child can hear — doubles, answers ending in 5 or 0, a zero added on the end. Beginning here means the first weeks feel like remembering rather than learning, and every table that comes afterwards has something to lean on.

2. 02

   Use the swap rule to halve the work

   7 × 3 = 21 and 3 × 7 = 21

   Multiplication gives the same answer whichever way round the two numbers go, so every fact learned arrives with a free twin. A 12 × 12 grid looks like 144 separate things to memorise. Once the swap rule is applied there are 78, and most of those already sit in the 2, 5 and 10 tables.

3. 03

   Build a hard fact from a near one

   6 × 7 = 42, so 7 × 7 = 42 + 7 = 49

   A fact a child cannot recall is still reachable from one they can, and saying that route out loud is what turns it into recall over time. A guess teaches nothing. Stepping from 6 × 7 to 7 × 7 teaches the connection and the answer together.

4. 04

   Drill only the facts that stay slow

   6 × 7 = 42 6 × 8 = 48 7 × 8 = 56 7 × 9 = 63 8 × 9 = 72

   Most children are secure on the great majority of the grid and stuck on around ten facts, and those ten are much the same from child to child. Reciting all twelve tables again spends the practice time on what is already known. Write down the ones that stall and work those.

5. 05

   Answer out of order, against a clock

   9 × 6 = 54 4 × 8 = 32 12 × 7 = 84 6 × 6 = 36

   Chanting a table teaches the sequence, not the fact. A child who can recite the six times table may still stall on 9 × 6 because they have to run from the beginning to reach it. Mixed questions under mild time pressure are the only practice that rehearses what a test will actually ask.

01

Why fluency here decides so much later

Times tables are not the mathematics. They are the part of it that has to be automatic so that the rest can be thought about. A child working out 7 × 8 in the middle of a long division question has spent their attention on the wrong thing, and by the time they have the answer they have often lost the place they were keeping.

This is why table fluency shows up as a problem years after it was taught. Long division, simplifying fractions, factorising and percentages all assume the facts arrive instantly. When they do not, the difficulty gets misread as difficulty with the new topic.

02

The facts that actually stay hard

The 12 × 12 grid holds 144 entries, but the swap rule reduces it to 78 distinct facts, and the 1, 2, 5 and 10 tables take out a large share of those. What remains is a short list, and it is worth writing it out rather than treating the whole grid as equally difficult.

These are the ones that most often need deliberate work:

• 6 × 7 = 42
• 6 × 8 = 48
• 6 × 9 = 54
• 7 × 8 = 56
• 7 × 9 = 63
• 8 × 9 = 72
• 7 × 7 = 49
• 8 × 8 = 64
• 12 × 12 = 144

03

How to practise at home without a battle

Short and frequent beats long and occasional. Five minutes on the way to school, done most days, does more than half an hour at the weekend, because recall is built by retrieving a fact repeatedly rather than by looking at it for longer.

Keep the questions mixed and keep them spoken. Written practice lets a child count on their fingers under the desk; spoken practice does not. And when a fact is missed, give the answer straight away rather than waiting — the aim is to attach the right answer to the question, not to test how long the silence can last.

• Mix the tables together rather than working through one at a time
• Ask the division form as well: 42 ÷ 7 as often as 6 × 7
• Give the correct answer immediately when a fact is missed
• Keep a written list of the facts that stall, and shorten it week by week

04

How we teach times tables

In our primary programme we test the grid before we teach anything, because the useful information is which facts are missing rather than whether tables are weak in general. Almost every child arrives already fluent in most of the grid, and naming the eight or ten gaps turns an intimidating task into a finishable one.

We teach the swap rule and the build-from-a-near-fact method explicitly, since both are what a confident child is doing silently anyway. Making them visible gives a struggling child the same route rather than leaving them to guess.