CBSE Class 6 Mathematics Question 25 of 25

Patterns in Mathematics — Question 27

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27
Question
To get from one shape to the next shape in the Koch Snowflake sequence, one replaces each line segment by a speed bump’ As one does this more and more times, the changes become tinier and tinier with very very small line segments. How many total line segments are there in each shape of the Koch Snowflake? What is the corresponding number sequence? (The answer is 3, 12, 48,…, i.e. 3 times Powers of 4, this sequence is not shown in Table 1)
Answer

There are 3,12,48,192, 768 line segments in each shape of the Koch Snowflake.
The corresponding number sequence is 3, 12, 48, ….
i. e. 3 times the powers of 4.


Source: This question is from Patterns in Mathematics, Mathematics — Class 6, CBSE Board.

Key Concepts Covered

This question tests your understanding of the following concepts from the chapter Patterns in Mathematics: Get, Shape, Next, Koch, Snowflake, Sequence. These are fundamental topics in Mathematics that students are expected to master as part of the CBSE Class 6 curriculum.

A thorough understanding of these concepts will help you answer similar questions confidently in your CBSE examinations. These topics are frequently tested in both objective and subjective sections of Mathematics papers. We recommend revising the relevant section of your textbook alongside practising these solved examples to build a strong foundation.

How to Approach This Question

Read the question carefully and identify what is being asked. Break down complex questions into smaller parts. Use the terminology and concepts discussed in this chapter. Structure your answer logically — begin with a definition or key statement, then provide supporting details. Review your answer to ensure it addresses all parts of the question completely.

Key Points to Remember

  • Always show your working steps clearly.
  • Verify your answer by substituting values back into the equation.
  • Practice similar problems from the textbook exercises.
  • Memorise important formulae and their conditions of applicability.

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