Math Problem Statement
Which number should replace the question mark in the 3x4 grid? The grid is:
7 3 5 6
9 1 8 1
4 3 ? 3
5 3 2 6
Solution
The puzzle asks which number should replace the question mark in the 3x4 grid. Let's examine possible patterns in rows and columns.
The given grid is:
7 & 3 & 5 & 6 \\ 9 & 1 & 8 & 1 \\ 4 & 3 & ? & 3 \\ 5 & 3 & 2 & 6 \end{matrix}$$ ### Observations: 1. **Sum of Rows**: - Row 1: $$7 + 3 + 5 + 6 = 21$$ - Row 2: $$9 + 1 + 8 + 1 = 19$$ - Row 4: $$5 + 3 + 2 + 6 = 16$$ Let's check the sum of Row 3: - $$4 + 3 + ? + 3 = 10 + ?$$ The sum pattern might decrease by 2 across rows (21, 19, and 16), so the sum of Row 3 could be 17. This gives: $$10 + ? = 17 \quad \Rightarrow \quad ? = 7$$ Thus, the number that should replace the question mark is **7**. Would you like more details or have further questions? Here are some related questions: 1. How can you generalize number patterns in grids like this one? 2. Could column sums reveal a different pattern? 3. What role does symmetry play in solving grid puzzles? 4. Are there different logical strategies for approaching such puzzles? 5. Can multiplication or other operations work instead of addition? **Tip:** When solving number grid puzzles, check for patterns in both rows and columns and consider basic operations like addition or subtraction.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Patterns in Grids
Arithmetic Sequences
Formulas
Sum of rows in a grid
Theorems
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Suitable Grade Level
Grades 6-8