Math Problem Statement

Find the missing number in place of the question mark (?) in the following pattern with four numbers on each side of the central number.

Solution

To solve this problem, let’s analyze the given pattern to identify the logic used in the central numbers. Observing the first two patterns, it appears that the middle number may be derived from the numbers on the four sides.

  1. For the first pattern:

    • Numbers: 11, 12, 14, 13
    • Central Number: 625
    • 11×12=13211 \times 12 = 132
    • 14×13=18214 \times 13 = 182
    • 625=252625 = 25^2, which is close to the sum of 132 and 182 divided by 2.
  2. For the second pattern:

    • Numbers: 18, 10, 20, 12
    • Central Number: 900
    • 18×10=18018 \times 10 = 180
    • 20×12=24020 \times 12 = 240
    • Summing these: 180+240=900180 + 240 = 900, indicating that the central number is likely the product of certain operations involving the pairs.

Following this logic for the third figure:

  • Numbers are 25, 35, 17, and 11.

Testing similar logic:

  • 25×35=87525 \times 35 = 875
  • 17×11=18717 \times 11 = 187
  • Summing these: 875+187=1062875 + 187 = 1062

This approach does not yield the exact options but provides insights for further trials. Checking

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Math Problem Analysis

Mathematical Concepts

Patterns
Arithmetic
Multiplication and Summation

Formulas

Multiplication of pairs and summation

Theorems

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Suitable Grade Level

Grades 9-11