Maths tricks · trick 9 of 25 · free

Magic number patterns — Maths trick for kids

Some numbers make amazing patterns. 37 × 3 = 111, so 37 × 6 = 222. 12345679 × 9 = 111111111. 11 × 11 = 121 and 111 × 111 = 12321. Learn the small fact and the big answers appear like magic.

The trick

Spot the pattern — “find the small fact, then grow it”

  1. 37 × 3 = 111, so 37 × (3 × k) is k written three times.
  2. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times.
  3. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

Use it for: Amazing your friends, checking big multiplications, and learning to look for patterns before you calculate.

Worked example: 37 × 15 = 555

  1. 37 × 3 = 111.
  2. 15 = 3 × 5, so the answer is 111 × 5.
  3. 111 × 5 = 555.

Check: 37 × 15 = 37 × 10 + 37 × 5 = 370 + 185 = 555 ✓

✏️ Practice

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🏁 Trick 9 test

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🖨️ Magic Number Patterns Worksheet

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