Puzzle #1
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Answer: 14 Squares
Explanation:
1. Small 1×1 squares
There are 9 individual colored squares.
→ 9 squares
2. Medium 2×2 squares
These are squares made by combining four small squares.
In a 3×3 grid, you can form 4 of these:
(top-left, top-right, bottom-left, bottom-right)
→ 4 squares
3. One large 3×3 square
The entire grid counts as one big square.
→ 1 square
Total:
9 (small) + 4 (medium) + 1 (large) = 14 squares
Puzzle # 2
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Answer: 40
Puzzles # 3
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Answer: 11
Puzzle # 4
Puzzle #5
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Answer: 10 squares
Puzzle # 6
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Answer: 15 squares
Puzzle # 7
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Answer: 30 squares
1×1 squares:
There are 4 rows and 4 columns, which gives 4 × 4 = 16 small squares.
2×2 squares:
You can place a 2×2 square in 3 positions across and 3 positions down, giving 3 × 3 = 9 medium squares.
3×3 squares:
A 3×3 square fits in 2 positions horizontally and 2 vertically, so 2 × 2 = 4 large squares.
4×4 square:
The entire grid itself forms one big square.
Now add them all together:
16 + 9 + 4 + 1 = 30 squares in total.