Square of 11
11 squared equals 121. Squares appear in area calculations, the Pythagorean theorem, and statistics (variance uses squared distances).
Squares obey quiet rules. Divided by 9, a square only ever leaves 0, 1, 4 or 7 — 4 here. On the last digit, squares end only in 0, 1, 4, 5, 6 or 9, and 1 fits. Between its neighbors, 100 sits 21 below and 144 sits 23 above — the square ladder widens by exactly two at every step. An odd base keeps the square odd: 121 ends in an odd digit, as every odd square must. Two anchors most worth memorizing in this range are 12² = 144 and 15² = 225 — the odd-step rule above is why knowing them pays off, because from any anchor the next square is one step along this page's ladder.
| Expression | Value |
|---|---|
| 11² | 121 |
Frequently asked questions
What is 11 squared?
11 squared is 121, because 11 × 11 = 121. The exponent 2 is why it is written 11².
What is 12 squared, next to 11²?
12² = 144, which is 23 more than 11² = 121. Each step up adds double the base plus one.
Where do squares show up in real problems?
Area of a square with side 11, distance in the Pythagorean theorem, and variance in statistics all use squared values.