Math Problem Statement

Choose the figure which best completes the following sequence.

Solution

To solve this sequence pattern, let's analyze the given figures step-by-step:

Observations:

  1. Outer Shape Progression:

    • 1st figure: Square
    • 2nd figure: Triangle
    • 3rd figure: Circle
    • 4th figure: Square
    • 5th figure: Pentagon

    The pattern shows that the outer shape changes with each step. The sequence follows: Square → Triangle → Circle → Square → Pentagon. It appears that after the Circle, it repeats the Square. Therefore, after Pentagon, it would return to a Triangle.

  2. Inner Shape Progression:

    • 1st figure: Circle
    • 2nd figure: Circle
    • 3rd figure: Circle
    • 4th figure: Circle
    • 5th figure: Circle

    The inner shape remains a circle throughout the sequence.

  3. Inner Dot Progression:

    • 1st figure: None
    • 2nd figure: 1 Dot
    • 3rd figure: 2 Dots
    • 4th figure: 3 Dots
    • 5th figure: 4 Dots

    The number of dots inside the inner circle increases by one in each step.

Conclusion:

Based on these observations:

  • The outer shape for the next figure should be a triangle.
  • The inner shape remains a circle.
  • The number of dots should be 5.

Choice Analysis:

The correct answer is D (Triangle with a Circle containing 5 dots inside).

Would you like more details or have any questions? Here are some related questions to consider:

  1. How can we identify patterns in sequences involving different shapes?
  2. What strategies can help solve similar logic and pattern recognition problems?
  3. How do sequences with increasing or repeating elements help in predicting the next item?
  4. What are the different types of sequences commonly found in IQ tests?
  5. How can visual puzzles like this one improve cognitive skills?

Tip: When analyzing sequences, always look for patterns in shape, size, color, and number changes!

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Math Problem Analysis

Mathematical Concepts

Pattern Recognition
Geometric Shapes

Formulas

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Theorems

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Suitable Grade Level

Grades 5-7