Math Problem Statement

The image shows a pattern recognition problem with three figures, where the task seems to be identifying the number of shaded squares in each figure.

Solution

The image shows a pattern recognition problem with three figures, where the task seems to be identifying the number of shaded squares. The options provided are likely the answer choices corresponding to the number of shaded squares in the pattern.

Let's analyze each figure:

  1. First Figure:

    • A 4x4 grid with alternating shaded and unshaded squares.
    • The shaded squares count to 8.
  2. Second Figure:

    • A 6x6 grid with some squares shaded and others not.
    • Counting the shaded squares, we find there are 20 shaded squares.
  3. Third Figure:

    • A 5x5 grid with some squares shaded.
    • Counting these, there are 13 shaded squares.

Given the answer choices (A = 20, B = 24, C = 30, D = 36), the correct response would be the one corresponding to the correct number of shaded squares in the second figure, which is 20 (Option A).

Would you like more details on the steps, or do you have any further questions?


Here are 5 related questions for practice:

  1. How many unshaded squares are in the first figure?
  2. If the grid size were doubled, how would the number of shaded squares change?
  3. Can you find the total number of squares in the third figure?
  4. What is the ratio of shaded to unshaded squares in the second figure?
  5. If another pattern were added with a 7x7 grid, how would you approach counting the shaded squares?

Tip: When dealing with patterns or grids, counting systematically (row by row or column by column) can help avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Pattern Recognition
Counting
Grid Analysis

Formulas

None, but involves systematic counting of shaded squares

Theorems

None, general problem-solving techniques for counting

Suitable Grade Level

Grades 3-5