Math Problem Statement

Find x

Find the missing number in the last square of the sequence.

Solution

In the given puzzle, we see a pattern with numbers arranged in a square, and we need to find the missing number (denoted by a "?") in the last square on the right. Each square has four numbers arranged at the corners. Let’s analyze the relationships between the numbers in the other squares.

First Square:

  • Numbers: 30, 5, 9, 3
  • The relationship appears to be: 303=10\frac{30}{3} = 10 and 101=910 - 1 = 9, where 1 is the number at the top right (5). This gives us a clue that there might be a multiplicative or divisional relationship.

Second Square:

  • Numbers: 15, 5, 5, 1
  • We see that 151=15\frac{15}{1} = 15, and 51=5\frac{5}{1} = 5. It looks like there could be division or subtraction to check.

Third Square (to find the missing number):

  • Numbers: 40, ?, 5, 2
  • The pattern appears consistent with earlier squares where numbers are divided or subtracted to reach the middle value.

Let’s calculate using the same idea from earlier:

  • 402=20\frac{40}{2} = 20, which is close to the pattern.
  • 5×2=105 \times 2 = 10. Hence, it seems the missing number might be derived similarly.

By applying the earlier approach, I conclude that the missing number is 10.

Would you like more details, or do you have any questions about this approach?

Here are 5 related questions:

  1. Can you explain the pattern used in each square in detail?
  2. How would the problem change if the operations were different (e.g., addition instead of division)?
  3. Can this puzzle be solved using another method?
  4. What are other common number puzzles like this one?
  5. How would you generalize the pattern across different shapes?

Tip: When solving puzzles, try identifying a consistent relationship (e.g., multiplication or subtraction) between the numbers across all patterns.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Pattern Recognition
Arithmetic Operations
Problem Solving

Formulas

Division
Multiplication

Theorems

Basic Arithmetic Operations

Suitable Grade Level

Grades 4-6