How to square numbers near 50 in your head

For ages 9 to 11 (Years 5 and 6) · 2-minute read · free worksheet

Numbers close to 50 have a neat shortcut, built on the fact that 50² is 2500.

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Worksheet includes an answer key for grown-ups

How it works

  1. Find the gap from 50.
  2. Add the gap to 25 (take it away if below 50). That gives the hundreds.
  3. Square the gap for the last two digits.

Worked example

53²: the gap is 3. 25 + 3 = 28. 3² = 09. Answer: 2809.

Top tip

Below 50, subtract: 47², gap 3, 25 − 3 = 22, 3² = 09, so 2209.
How to square numbers near 50 in your head: 53² = ? 25 + 3 = 28, 3² = 09: 2809

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