Here are the answers from yesterday’s questions:
EBM
Problems of the day
Bar Models
Challenge of the day
If you were just to count the small squares, then you should have got 64. However, there are not just small squares. Here’s a pictures showing a 1×1 square, a 3×3 square and a 2×2 square:
When we start exploring these different sized squares, there are 49 2×2 squares, 36 3×3 squares, 25 4×4 squares, 16 5×5 squares, 9 6×6 squares, 4 7×7 squares and 1 8×8 square.
Therefore, there are 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 (or 204) squares on a chessboard.
Does anyone notice something interesting about all of these numbers?
Here’s a video showing all these possible different squares you can find:
Sentence / Fragment / Run-on
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