https://file.aiquickdraw.com/mathbot/file/1728948831506qkkk5005.jpg

To solve for the missing number (`?`) in the image, let's analyze the pattern in the top two squares.

### Top-left square:
- Numbers around the square: 1, 4, 12, 13.
- Relationship: 
  - 1 + 13 = 14
  - 4 + 12 = 16
  - The difference between 16 and 14 is **2**.

### Top-right square:
- Numbers around the square: 11, 3, 7, 8.
- Relationship:
  - 11 + 7 = 18
  - 3 + 8 = 11
  - The difference between 18 and 11 is **7**.

Now, let’s apply this logic to the bottom square to find `?`:

### Bottom square:
- Numbers: 12, 7, 20, `?`
- Relationship to test:
  - 12 + 20 = 32
  - 7 + `?` = ?

Since the differences in the previous two squares were 2 and 7, the difference here could follow that pattern (5 more than 2, 5 more than 7, so the next difference could be **12**).

Thus:
- 32 − 12 = 20.
- So, 7 + `?` = 20.
- Therefore, `? = 13`.

The missing number is **13**.

Would you like further clarification, or have any questions? Here are some related questions:

1. Can you find a different pattern that might work here?
2. What other operations can be used to analyze number relationships?
3. What if the numbers were analyzed diagonally instead of horizontally and vertically?
4. Could multiplication or division be used in such patterns?
5. How does identifying sequences of differences help in solving problems?

**Tip**: Always try different mathematical operations when analyzing patterns in puzzles like these (addition, subtraction, multiplication, etc.).

Solve a puzzle by finding the missing number using arithmetic patterns. Explore relationships between pairs of numbers, sums, and differences. Suitable for Grades 5-7.

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