Math Problem Statement
Solution
To find the missing number in the figure, let's observe the patterns in the given figures.
Pattern Analysis
The three figures show a similar arrangement, with a central number surrounded by four numbers. The task is to find the missing central number in the third figure. Let's look at the pattern in the first two figures:
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First Figure:
- Center number: 25
- Surrounding numbers: 24 (top), 19 (left), 13 (right), 17 (bottom)
If we take the average of the four surrounding numbers: However, this isn't exactly 25. Let's check if there's a pattern in adding or subtracting.
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Second Figure:
- Center number: 26
- Surrounding numbers: 22 (top), 18 (left), 23 (right), 13 (bottom)
Checking the average: Adding 7 to this average gives us 26. It seems the pattern might involve adding 7.
Applying the Pattern to the Third Figure
- Surrounding numbers: 20 (top), 16 (left), 11 (right), 15 (bottom)
Find the average: Adding 7: The closest whole number option is 23.
Thus, the missing number is 23.
Final Answer
(C) 23
Would you like a more detailed breakdown or have any questions?
Here are 5 related questions you might explore:
- What other methods can be used to find patterns in sequences?
- How can you verify if a pattern holds for other similar figures?
- What if a different number was added instead of 7—how would that affect the result?
- Can there be more than one pattern to solve the same type of problem?
- What is the importance of checking all possibilities when solving such puzzles?
Tip: Always check multiple figures to find a consistent pattern before concluding.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Number Patterns
Formulas
Average of surrounding numbers
Theorems
Pattern recognition in arithmetic puzzles
Suitable Grade Level
Grades 6-8
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