Square numbers ending in 5
From the sutra Ekādhikena Pūrveṇa, By one more than the one before
, in Bharati Krishna Tirtha's 1965 book Vedic Mathematics. Deep dive into the sutra
Try it with your numbers
When to use it
Any number that ends in 5: 35², 85², 115².
The idea
Take the part before the 5, multiply it by one more than itself, then write 25 after it.
Worked example: 65²
- 652The part before the 5 is 6.
- 6 × 7 = 42One more than 6 is 7. Multiply: 6 × 7 = 42.
- 42 | 25 = 4225Write 25 on the right. 65² = 4225.
All 15 speed tricks, each with its calculator. The speed tricks use sutras from Bharati Krishna Tirtha's 1965 book Vedic Mathematics; the lessons, problems and pictures here are our own.