Speed Math Squaring and Square Roots Squaring Numbers near 50


Here’s an example of a SPEED MATH shortcut for SQUARING NUMBERS NEAR 50 : (Sq) Nr50 from the SQUARING AND SQUARE ROOTS category.

Squaring Numbers near 50

When can I use this method?

For squaring numbers near 50.

The number can be either < or > 50.

One can use this method to square numbers away from 50 as long as it is comfortable to square the difference portions.

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pdf Download Practice sheet for SQUARING NUMBERS NEAR 50

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Notes –

  1. This method uses the concept (50 + a)2 = [(25 + a) 100] + a2, where ‘(50 + a)’ is the number near 50 and ‘a’ is difference.
  2. Whenever the number is more than 50, the difference is written as positive (+ve).
  3. Whenever the number is less than 50, the difference is written as negative (-ve).

Related Shortcuts –

Squaring Numbers near 100 : (Sq) Nr100

Squaring Numbers near 1000 : (Sq) Nr1000

Squaring Numbers near 500 : (Sq) Nr500

Squaring 2-digit Numbers near a Base : (Sq) NrB2

Squaring 3-digit Numbers near a Base : (Sq) NrB3

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