What is Exercise 1.5 of Class 6 Maths Chapter 1 about?

Exercise 1.5 focuses on recognizing and creating complex patterns using numbers, shapes, and rules. It aims to improve observation skills and prepare students for advanced concepts in geometry and arithmetic.

Why is Exercise 1.5 important in the study of patterns?

Exercise 1.5 helps students understand how patterns can become more complex and rule-based. It sharpens logical reasoning, builds problem-solving skills, and strengthens their foundation for future math topics like algebra and number series.

What topics are covered in Class 6 Maths Chapter 1 Exercise 1.5?

Advanced number and shape patterns Rule-based pattern creation Completing and extending sequences Real-life applications of patterns Symmetry and regularity in designs

How do NCERT Solutions help in solving Exercise 1.5 of Class 6 Maths?

NCERT Solutions provide clear, step-by-step explanations for each question. These solutions guide students through identifying rules, extending sequences, and creating patterns, making complex problems easier to understand and solve.

NCERT Solutions

Class 6

Maths

Chapter 1 Patterns in Mathematics

Exercise 1.5

NCERT Solutions Class 6 Maths Chapter 1 Patterns in Mathematics Exercise 1.5

This exercise 1.4 in Chapter 1 Pattern in Mathematics helps students recognise patterns in geometric shapes such as polygons, stacked squares, stacked triangles, and fractal designs like the Koch snowflake. Students study how shapes expand or transform according to specific rules. Through this process, they strengthen their spatial reasoning and learn to identify mathematical patterns within geometric figures.

ALLEN's NCERT Solutions are designed to simplify these challenges, offering clear, step-by-step guidance that makes learning effective and engaging for every student. The resource can be used effectively to make the preparation of Class 6 exams easier for the students.

1.0Download NCERT Solutions of Class 6 Maths Chapter 1 Patterns in Mathematics Exercise 1.5: Free PDF

Download the complete and easy-to-understand NCERT Solutions for Class 6 Maths Chapter 1 Exercise 1.5 in PDF format.

Chapter 1 Patterns in Mathematics Exercise 1.5

Key Concepts of Exercise 1.5

Identifying more advanced patterns in numbers and shapes.
Learning how to extend and complete more advanced patterns.
Creating new patterns according to rules
Seeing symmetry and regularity in designs.
Making connections to real-life experiences and structures.

2.0NCERT Exercise Solutions Class 6 Chapter 1- Patterns in Mathematics : All Exercises

Chapter 1 Patterns in Mathematics : Exercise 1.1

Chapter 1 Patterns in Mathematics: Exercise 1.2

Chapter 1 Patterns in Mathematics : Exercise 1.3

Chapter 1 Patterns in Mathematics : Exercise 1.4

Chapter 1 Patterns in Mathematics : Exercise 1.5

Chapter 1 Patterns in Mathematics : Exercise 1.6

3.0NCERT Class 6 Chapter 1 Patterns in Mathematics Exercise 1.5 : Detailed Solutions

1.5 Patterns In Shapes

1. Can you recognize the pattern in each of the sequences in the table given below?

Sol. Regular Polygons: Triangle, quadrilateral, pentagon, hexagon, heptagon, etc. Pattern: The number of sides increases by 1 each time, forming a polygon with an additional side. Complete Graphs: K2, K3, K4, K5, etc. Pattern: The number of vertices increases by 1 , and the lines connecting every vertex form a complete graph. The number of edges increases accordingly. Stacked Squares: Squares are stacked upon each other, with additional layers of smaller squares. Pattern: More squares are added as layers, increasing the total number of smaller squares. Stacked Triangles: Triangles stacked upon each other, increasing the number of small triangles in the structure. Pattern: As new layers are added, the number of smaller triangles increases. Koch Snowflake : As fractal pattern where each line segment is replaced by smaller "bumps" in the shape of an equilateral triangle. Pattern: Each iteration adds more bumps along the edges, increasing the complexity and the number of line segments.

2. Try and redraw each sequence in the table given in question 1, in your notebook. Can you draw the next shape in each sequence? Why or why not? After each sequence, describe in your own words what is the rule or pattern for forming the shapes in the sequence. Sol. Regular Polygon: The next shape after the Decagon ( 10 sides) is the Hendecagon ( 11 sides). Rule: Increase the number of sides by 1

Complete graphs: After K6 (6 vertices), the next complete graph is K7 Rule: Add one more vertex and connect every vertex to all others,

Stacked Squares: The next shape will have an additional layer of squares stacked below or around the existing structure Rule: Add another layer with additional small squares, expanding the structure.

Stacked Triangles: The next shape will have one more layer of triangles at the base, increasing the total number of triangles. Rule: Add another row of triangles to form a larger slacked structure.

Koch Snowflake: The next shape will have more intricate and smaller triangular "bumps" added to each side of the snowflake. Rule: Each line segment is replaced with 4 smaller segments (one segment for the bump), increasing the total number of segments exponentially.

4.0Key Features and Benefits Class 6 Maths Chapter 1 Patterns in Mathematics: Exercise 1.5

Promotes logical reasoning and observation skills
Develops foundational skills for higher-order concepts in mathematics like algebra and geometry
Builds engagement through engaging practice and creative pattern
Provides clarity in reasoning and problems with clear step-by-step solutions
Allows students to build confidence in their abilities to solve complex problems.

Frequently Asked Questions

Join ALLEN!

(Session 2026 - 27)

Name

Mobile Number

Class

Choose class

Goal

Choose your goal

Preferred Programs

Preferred Mode

State

Choose State

I agree to

I authorise ALLEN Career Institute Pvt Ltd to send me regular updates via Phone calls, Whatsapp, SMS, Robocalls (Automated Calls), Emails, or on postal address.