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Times Tables · Lesson 7 of 12

7 Times Table

The 7 times table has no single trick, but most facts can be built from the 5 and 2 times tables. Only a few are new once you know the rest.

What you will learn

  • Say and write the answers in the 77 times table up to 7×127 \times 12.
  • Use the patterns in the table to check your answers.
  • Use the table to solve simple word problems.

Before you start: you should know multiplication as equal groups. See Multiplication: Equal Groups and Arrays.

The idea

The 77 times table lists 77 multiplied by 1,2,31, 2, 3 and so on up to 1212. Each answer is the number of objects in that many groups of 77.

The whole table

12 by 12 multiplication grid, 7 times table highlightedA grid of products from 1 × 1 to 12 × 12. Row and column headings are the numbers being multiplied, and the 7 times table row and column are shaded.×123456789101112112345678910111222468101214161820222433691215182124273033364481216202428323640444855101520253035404550556066121824303642485460667277142128354249566370778488162432404856647280889699182736455463728190991081010203040506070809010011012011112233445566778899110121132121224364860728496108120132144
The 12 by 12 multiplication grid with the 7 times table shaded. Read along the shaded row for 7 × 1 up to 7 × 12.

Patterns

  • Split seven into five and two: 7×67 \times 6 is 5×6=305 \times 6 = 30 plus 2×6=122 \times 6 = 12, which is 4242.
  • You already know many: 7×1,7×2,7×57 \times 1, 7 \times 2, 7 \times 5 and 7×107 \times 10.
  • The answers are 7,14,21,28,35,42,49,56,63,70,77,847, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84.
  • Only 7×7=497 \times 7 = 49 and a few others are really new.

Skip counting

Counting in steps of 77 gives the answers one after another.

Number line from 0 to 42Number line from 0 to 42. Jumps: from 0 to 7 (+7), from 7 to 14 (+7), from 14 to 21 (+7), from 21 to 28 (+7), from 28 to 35 (+7), from 35 to 42 (+7).071421283542+7+7+7+7+7+7
Six jumps of 7 from zero land on 7, 14, 21, 28, 35 and 42, the first six answers in the table.

An array

An array shows the same facts as rows and columns.

Array of 4 rows of 74 rows with 7 counters in each row, 28 counters in all.
4 rows of 7. 4 × 7 = 28. Turn it on its side to see 7 × 4.

Worked examples

Example 1: Five and two

What is 7×87 \times 8?

  1. 5×8=405 \times 8 = 40.
  2. 2×8=162 \times 8 = 16.
  3. 40+16=5640 + 16 = 56.

Answer: 5656.

Example 2: Square

What is 7×77 \times 7?

  1. 7×5=357 \times 5 = 35.
  2. 7×2=147 \times 2 = 14.
  3. 35+14=4935 + 14 = 49.

Answer: 4949.

Example 3: Days

How many days are in 99 weeks?

  1. A week has 77 days.
  2. 9×7=639 \times 7 = 63: use 10×7=7010 \times 7 = 70 and take away 77.

Answer: 6363 days.

The 7 times table is easier once you notice how many facts you already know from other tables. Make a list of the ones you do not, and practise only those.

Why it matters

Sevens come up in days of the week, so multiplying by seven turns weeks into days. It is also the table where learning to build from known facts pays off most.

Practice

Your turn. Type or choose an answer, then press Check. Getting one wrong is fine, that is what practice is for. You can try as many times as you like.

Question 1 of 8

What is 7×37 \times 3?

Question 2 of 8

What is 7×67 \times 6?

Question 3 of 8

What is 7×87 \times 8?

Question 4 of 8

What is 7×77 \times 7?

Question 5 of 8

What is 7×97 \times 9?

Question 6 of 8

What is 7×127 \times 12?

Question 7 of 8

How many days are in 44 weeks?

Question 8 of 8

Which of these is in the 77 times table?

Choose one answer