NCERT Solutions for Class 6 Maths Chapter 1 Exercise 1.6 Patterns in Mathematics - FREE PDF Download
NCERT Solutions for Class 6 Maths Chapter 1, Exercise 1.6, "Relation to Number Sequences," helps students understand number patterns and sequences, focusing on how numbers follow specific rules to form predictable patterns. This exercise enhances numerical reasoning and pattern identification. It follows the CBSE Class 6 Maths Syllabus and offers clear, step-by-step guidance on understanding and applying these sequences.
- 3.1Exercise 1.6
Students can download these NCERT Solutions as a FREE PDF, providing an easy way to practice and improve their skills. NCERT Solutions for Class 6 Maths include useful tips and simple methods to make learning engaging and effective, preparing students for more advanced topics in mathematics.
Glance on NCERT Solutions Maths Chapter 1 Exercise 1.6 Class 6 | Vedantu
This exercise focuses on understanding and identifying number sequences, where students learn how numbers are arranged according to specific patterns.
It emphasises recognising sequences like arithmetic and geometric progressions, which follow particular rules to predict the next numbers in a series.
The solutions include examples and practice problems to reinforce the concept of sequences.
By working through these solutions, students will develop a solid foundation in predicting and continuing number patterns.
Exercise 1.6
1. Count the number of sides in each shape in the sequence of Regular Polygons. Which number sequence do you get? What about the number of corners in each shape in the sequence of Regular Polygons? Do you get the same number sequence? Can you explain why this happens?
Ans:
Both sequences are the same because, in a regular polygon, the number of sides equals the number of vertices.
2. Count the number of lines in each shape in the sequence of Complete Graphs. Which number sequence do you get? Can you explain why?
Ans:
Therefore, the sequence is 1, 3, 6, 10, 15, and so on. This is known as a triangular number sequence.
3. How many little squares are there in each shape of the sequence of Stacked Squares? Which number sequence does this give? Can you explain why?
Ans:
We obtain the sequence 1, 4, 9, 16, 25, 36, and so on. This sequence represents square numbers.
4. How many little triangles are there in each shape of the sequence of Stacked Triangles? Which number sequence does this give? Can you explain why? (Hint: In each shape in the sequence, how many triangles are there in each row?)
Ans:
Sequences 1, 4, 9, 16, 25, 36, and 49 represent square numbers. By adding a stacked triangle at the bottom, we can determine the next number in this square sequence.
5. To get from one shape to the next shape in the Koch Snowflake sequence, one replaces each line segment ‘—’ by a ‘speed bump’ __ⴷ__. 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.)
Ans:
The sequence 3, 12, 48, 192, 768, and so on begins with 3. Each subsequent term is found by multiplying the previous term by 4. Similarly, in the next Koch Snowflake iteration, four new lines are added for each line of the previous shape.
Benefits of NCERT Solutions for Class 6 Maths Chapter 1 Patterns in Mathematics Exercise 1.6
Provides detailed explanations on how to identify and work with number sequences, enhancing comprehension of mathematical patterns.
Offers structured solutions and methods to tackle sequence problems, making it easier for students to follow along and learn.
Helps develop critical thinking and analytical skills by practising various number sequences, including arithmetic and geometric progressions.
Reinforces key concepts through repeated practice and examples, aiding in better retention and application of sequence rules.
The FREE PDF download allows for flexible practice and review at any time, supporting ongoing learning and preparation for more advanced topics.
Class 6 Maths Chapter 1: Exercises Breakdown
Important Study Material Links for Class 6 Maths Chapter 1 - Patterns in Mathematics
Conclusion
NCERT Solutions for Class 6 Maths Chapter 1, Exercise 1.6, "Relation to Number Sequences," from the chapter "Patterns in Mathematics," helps students understand how number sequences are formed and recognized. The clear explanations in the solutions make it easier to identify and continue these sequences. Practising these exercises improves students' ability to work with number patterns and solve related problems. With the solutions available as a FREE PDF download, students can study and review at their own pace, making learning both convenient and effective.
Chapter-wise NCERT Solutions Class 6 Maths
The chapter-wise NCERT Solutions for Class 6 Maths are given below. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.
Related Important Links for Class 6 Maths
Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6.
FAQs on NCERT Solutions for Class 6 Maths Chapter 1 - Patterns in Mathematics Exercise 1.6
1. What is the focus of NCERT Solutions for Class 6 Maths Chapter 1, Exercise 1.6?
NCERT Solutions for Class 6 Maths Chapter 1, Exercise 1.6 focuses on "Relation to Number Sequences." This exercise helps students understand how to identify and work with different number sequences. It includes examples of arithmetic and geometric sequences.
2. How can NCERT Solutions help with Exercise 1.6 in Chapter 1?
NCERT Solutions for Exercise 1.6 provides clear explanations and step-by-step methods for solving number sequence problems. These solutions make it easier for students to understand and practice different types of sequences.
3. Are the solutions for Exercise 1.6 available in a PDF format?
Yes, the solutions for Class 6 Maths Chapter 1, Exercise 1.6 are available as a FREE PDF download. This format allows students to easily access and review the solutions anytime.
4. What types of number sequences are covered in Exercise 1.6?
Exercise 1.6 in Chapter 1 covers arithmetic and geometric sequences. NCERT Solutions explains how these sequences are formed and how to continue them using simple rules.
5. How do the solutions help in understanding number sequences?
The NCERT Solutions for Class 6 Maths Chapter 1, Exercise 1.6 breaks down each problem into clear steps. This approach helps students understand how to identify patterns and solve sequence problems.
6. Can the solutions for Exercise 1.6 help with homework?
Yes, the NCERT Solutions for Exercise 1.6 are designed to assist with homework. They provide detailed answers and explanations that help students complete their assignments accurately.
7. What is the benefit of downloading the FREE PDF for Exercise 1.6?
Downloading the FREE PDF for Exercise 1.6 from Chapter 1 allows students to have a portable and easily accessible reference. This helps with practice and review, supporting better learning and understanding.
8. How are number sequences explained in the solutions?
In the NCERT Solutions for Class 6 Maths Chapter 1, Exercise 1.6, number sequences are explained through examples and simple steps. This makes it easy for students to see how sequences work and how to solve related problems.
9. Are there any practice problems included in the solutions for Exercise 1.6?
Yes, the solutions for Exercise 1.6 include practice problems. These problems help students apply what they’ve learned about number sequences and reinforce their understanding.
10. How can students use the solutions for Chapter 1, Exercise 1.6 effectively?
Students can use the NCERT Solutions for Chapter 1, Exercise 1.6 by following the step-by-step explanations to solve similar problems. Practising these solutions will improve their skills in handling number sequences.
