Vedic Maths — Veda Topper
Square Any Number Ending in 5 — Instantly
This is the trick that makes children gasp. To square 25, 35, 75 or 95 you do no long multiplication at all — you just multiply one small pair and stick 25 on the end. It uses the sutra Ekadhikena Purvena ("by one more than the one before").
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The rule
To square a number ending in 5: take the digits before the 5, multiply them by one more than themselves, and write 25 after the result.
Example 1 — 25²
Before the 5: 2
2 × (2+1) = 2 × 3 = 6
Put 25 after: 6 | 25
25² = 625
Example 2 — 35²
3 × (3+1) = 3 × 4 = 12
Put 25 after: 12 | 25
35² = 1225
Example 3 — 75²
7 × (7+1) = 7 × 8 = 56
Put 25 after: 56 | 25
75² = 5625
Example 4 — 95²
9 × (9+1) = 9 × 10 = 90
Put 25 after: 90 | 25
95² = 9025
It works for bigger numbers too
Example 5 — 105²
10 × (10+1) = 10 × 11 = 110
Put 25 after: 110 | 25
105² = 11025
Why it works
A number ending in 5 is (10n + 5). Squaring gives 100n² + 100n + 25 = 100 × n(n+1) + 25 — which is exactly "n times (n+1), then 25".
Practice (answers below):
1) 45² 2) 55² 3) 85² 4) 125² 5) 65²
Answers: 1) 2025 2) 3025 3) 7225 4) 15625 5) 4225
1) 45² 2) 55² 3) 85² 4) 125² 5) 65²
Answers: 1) 2025 2) 3025 3) 7225 4) 15625 5) 4225
More Vedic Maths tricks
← Vedic Maths home Multiply by 11 in one lineBase multiplication (Nikhilam)Vertically & crosswiseSquares near a base (Yavadunam)Instant division by 9Subtraction: all from 9All 16 Sutras & 13 sub-sutras
Frequently asked questions
How do you square a number ending in 5 in Vedic Maths?
Multiply the digits before the 5 by one more than themselves, then write 25 at the end. For 75: 7 × 8 = 56, then 25 → 5625.
Which sutra is used to square numbers ending in 5?
The sutra Ekadhikena Purvena — "by one more than the one before." It is one of the 16 Vedic Maths sutras.
Does this work for 3-digit numbers ending in 5?
Yes. For 105: take 10 × 11 = 110, then 25 → 11025.
Learn all of this live. Veda Topper runs online Vedic Maths classes for kids and adults, worldwide. Book a free demo class → · WhatsApp us →