Square Sūdoku

A sūdoku is a puzzle on a 9x9 grid, in which are numbers from 1 to 9 arranged in a fixed pattern. Each box (a total of 9 are present) contains all the numbers from 1 to 9, and so do each row and column. Some numbers are given, and we are to find the rest. But here you don't need to solve the puzzle, you need to answer a relatively easier question-

How many squares are there in a sūdoku puzzle?

Details - I just noticed that the image is not enclosed by a square, but assume the sūdoku puzzle to be inside a big square.


The answer is 285.

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3 solutions

Aman Gautam
Nov 20, 2014

SQUARE SIZES Multiplication to do:
1x1=81 ---> 9x9
2x2=64 ---> 8x8
3x3=49 ---> 7x7
4x4=36 ---> 6x6
5x5=25 ---> 5x5
6x6=16 ---> 4x4
7x7=9 ---> 3x3
8x8=4 ---> 2x2
9x9=1 ---> 1x1


now add up all products or amount of squares for each size.....and you get?

285!!! there are 285 squares inn a 9x9 grid.

David Holcer
Mar 21, 2015

Technically you would add 27 to that because 1 is a square,4 is a square, and 9 is a square and they get added 9 times so 3*9=27+ all the squares on the board=312 :))

There is a Formula to find number of squares:

1²+2²+...........+N² for NxN

For 9x9, 1²+2²+3²+4²+5²+6²+7²+8²+9² = 285.

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