← BlogSep 28, 20263 min read

The 7 times table: five plus two

I'm Heron. I help people do math in their heads, and the 7s are the table I still slow down for.

For years I could say them in order and still freeze when someone asked me 7 × 8 on its own. Let's learn this one the way that finally worked on me.

The 7 times table from 1 to 12

Here is the whole chart, top to bottom. Twelve facts, and the next section turns every one of them into two easy ones.

• 7 ×1=7
• 7 ×2=14
• 7 ×3=21
• 7 ×4=28
• 7 ×5=35
• 7 ×6=42
• 7 ×7=49
• 7 ×8=56
• 7 ×9=63
• 7 ×10=70
• 7 ×11=77
• 7 ×12=84

Now read the last digit of the first ten answers: 7, 4, 1, 8, 5, 2, 9, 6, 3, 0. All ten digits, one each, and then 77 and 84 start the run over.

That is what makes the 7s feel different from the 2s, 5s, and 10s. Seven never lines up with ten, so no digit comes back until all ten have had a turn.

The table climbs in jumps of seven, and that is the check worth keeping. It goes straight from 42 to 49, so a near miss like 48 was never on the list.

One pack short lands on 35, one too many lands on 49, both one jump of seven away.

Why splitting the 7 works

Seven is five and two. That is the whole trick: seven of anything is five of it plus two more of it, and we can count those two pieces separately.

Fives are easy: they land on a 5 or a 0. Doubles are easy: you add the number to itself.

The pieces were 40 and 16, so 7 × 8 is 56. Two facts we already own went in, and the one nobody remembers came out.

The same move handles the big ones. Five 11s make 55, two 11s make 22, and 55 plus 22 is 77.

Practice the 7 times table

Ten questions, and the friendly ones come first. Type an answer in the box, and if it slips, the box starts the split for you.

Five down, and the next five are where the split earns its keep. Say both pieces out loud the first few times: the saying is what makes it stick.

7 × 12 can be cut the other way. This time we split the 12 into 10 and 2: seven tens make 70, seven twos make 14, and 70 plus 14 makes 84.

Why the 7s trip people up

England puts the 7s on a list. Every Year 4 class there takes a multiplication tables check, 25 questions at six seconds each, and the 7s are on its official list of the most difficult tables, next to the 6, 8, 9, and 12 times tables.

The questions are drawn from the 121 facts in the 2 to 12 tables, and between two and four of them come from the 7s. So this one table can be worth four of the 25 points.

They sit too close together. Here are the four that get swapped, one jump apart all the way along.

• 7 ×6=42
• 7 ×7=49
• 7 ×8=56
• 7 ×9=63

Under six seconds 42 and 49 trade places, and 7 × 8 hands its 56 over to the 63 next door. Outside that crowd sits 7 × 12, the biggest answer in the table: 84 is right, and it still feels too large.

Kids do learn it all the same: in summer 2025 the average score was 21 out of 25, and 37% got every question right.

Splitting pays off long after this table: it is the same habit behind grown-up mental arithmetic. There is a question a day of it in our mental math practice, and the 8 times table next door has a move of its own.

What to remember

• Seven is five and two. Five of the number, two of the number, add the pieces, and the table looks after itself.
• Watch the jumps. The 7s go up by seven every time, so a near miss like 48 was never on the list.
• Keep the sessions short. Five minutes a day beats an hour on Sunday.

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