• NEET
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • JEE
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • Class 6-10
      • Class 6th
      • Class 7th
      • Class 8th
      • Class 9th
      • Class 10th
    • View All Options
      • Online Courses
      • Distance Learning
      • Hindi Medium Courses
      • International Olympiad
    • NEET
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • JEE (Main+Advanced)
      • Class 11th
      • Class 12th
      • Class 12th Plus
    • JEE Main
      • Class 11th
      • Class 12th
      • Class 12th Plus
  • Classroom
  • NEW
    • NEET
      • 2025
      • 2024
      • 2023
      • 2022
    • JEE
      • 2025
      • 2024
      • 2023
      • 2022
    • Class 6-10
    • JEE Main
      • Previous Year Papers
      • Sample Papers
      • Result
      • Analysis
      • Syllabus
      • Exam Date
    • JEE Advanced
      • Previous Year Papers
      • Sample Papers
      • Mock Test
      • Result
      • Analysis
      • Syllabus
      • Exam Date
    • NEET
      • Previous Year Papers
      • Sample Papers
      • Mock Test
      • Result
      • Analysis
      • Syllabus
      • Exam Date
      • College Predictor
      • Counselling
    • NCERT Solutions
      • Class 6
      • Class 7
      • Class 8
      • Class 9
      • Class 10
      • Class 11
      • Class 12
    • CBSE
      • Notes
      • Sample Papers
      • Question Papers
    • Olympiad
      • NSO
      • IMO
      • NMTC
    • TALLENTEX
    • AOSAT
  • ALLEN E-Store
    • ALLEN for Schools
    • About ALLEN
    • Blogs
    • News
    • Careers
    • Request a call back
    • Book home demo
NCERT Solutions
Class 6
Maths
Chapter 1 Patterns in Mathematics
Exercise 1.6

NCERT Solutions Class 6 Maths Chapter 1 Patterns in Mathematics Exercise 1.6

Exercise 1.6 of NCERT Solutions for Class 6 Maths Chapter 1 "Patterns in Mathematics" examined the interesting connection that can be made between shape sequences and number sequences. In this small section, the emphasis is on observing how geometric patterns can be counted and represented by numerical patterns and vice versa. The section builds on the earlier learning of recognizing and extending different types of number and visual patterns, and observing the relationships buried within them and appreciating their connections within mathematics. 

This exercise has students look at the same common properties that they would analyze as the number of sides, the number of corners, or the number of internal parts of a shape in a sequence of shapes, and compare these with a corresponding number sequence . 

1.0Download NCERT Solutions of Class 6 Maths Chapter 1 Patterns in Mathematics Exercise 1.6: Free PDF

Download free PDF for NCERT Solutions Class 6 Maths Chapter 1 Patterns in Mathematics Exercise 1.6 to understand the relationship between shape and number sequences.

NCERT Solutions Class 6 Maths Chapter 1 Ex 1.6

Key Concepts of Exercise 1.6

Connecting Shape Patterns to Number Sequences: The understanding of how numbers can represent the properties of a sequence of shapes.

Explaining the Relationship: The ability to explain why a particular number sequence arises from a particular sequence of shapes (e.g., the number of sides is equal to the number of corners for a regular polygon).

Predicting Future Terms: The ability to use the established relationship to predict the number of elements or properties in future terms in a shape or number sequence.

Observing Different Perspectives: Understanding that the same mathematical idea or number can be illustrated pictorially in different ways (e.g., 36 viewed as both a triangular and a square number).

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

NCERT Solutions for Class 6 Maths Chapter 1: Exercise 1.1

NCERT Solutions for Class 6 Maths Chapter 1: Exercise 1.2

NCERT Solutions for Class 6 Maths Chapter 1: Exercise 1.3

NCERT Solutions for Class 6 Maths Chapter 1: Exercise 1.4

NCERT Solutions for Class 6 Maths Chapter 1: Exercise 1.5

NCERT Solutions for Class 6 Maths Chapter 1: Exercise 1.6

3.0NCERT Class 6 Chapter 1 Patterns in Mathematics Exercise 1.6 : Detailed Solutions

1.6 Relation To Number Sequences

  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? Sol. Sides and Corners Sequence: The number of sides and corners in each shape of the regular polygon sequence increases by 1 . Triangle: 3 sides, 3 corners Quadrilateral: 4 sides, 4 corners Pentagon: 5 sides, 5 corners Hexagon: 6 sides, 6 corners Heptagon: 7 sides, 7 corners Number Sequence: 3, 4, 5, 6, 7... The number of sides and corners is the same because each corner corresponds to a side in regular polygons.
  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? Sol. Number of Lines in Complete Graphs Sequence : The number of lines in a complete graph (Kn) increases based on how many vertices are connected. K2: 1 line K3: 3 lines K4: 6 lines K5: 10 lines
  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? Sol. Number of Squares Sequence : As squares are stacked, the number of little squares increases: 1st  shape: 1 square 2nd  shape: 4 squares 3rd  shape: 9 squares 4th  shape: 16 squares Number Sequence: 1, 4, 9, 16... The number of squares follows the sequence of square numbers, as each shape forms a perfect square grid.
  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?) Sol. Number of little triangles sequence of Stacked Triangles =1,4,9,16,25
  5. 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). Sol. Koch Snowflake Line Segments Sequence: 1st  shape: 3 line segments 2nd  shape: 12 line segments 3rd  shape: 48 line segments Number Sequence: 3, 12, 48, ... The number of line segments increases by multiplying the previous number by 4 , forming a sequence of 3 times powers of 4.

4.0Key Features and Benefits Class 6 Maths Chapter 1 Patterns in Mathematics: Exercise 1.6

  • Visual-Conceptual Link: Supports students in connecting visual patterns (shapes) with abstract numerical patterns which deepens students' conceptual understanding.
  • Logical Reasoning Development: It allows students to find rules and relationships, and to develop critical thinking and logical reasoning skills.
  • Problem Solving Application: The tasks provide a context for harnessing pattern recognition part of the math curriculum while moving beyond a simple sequence of numbers. 
  • Enhanced Spatial Reasoning: Working on shape sequences, for example, improve students' spatial reasoning skills and enhance visualization.
  • Extensive Coverage: The solutions provided align with the textbook objectives of help students make connections between different mathematical ideas.
  • Self-Paced Learning: The responses to the tasks have numerous steps and provide the opportunity for students to understand complicated ideas at their own pace.  Supports learning through practice!
  • Foundation for Further Topics: Provides students with a strong understanding for more complex topics associated with patterns, sequences and geometric reasoning.

NCERT Class 6 Maths Ch. 1 Patterns in Mathematics Other Exercises:-

Exercise 1.1

Exercise 1.2

Exercise 1.3

Exercise 1.4

Exercise 1.5

Exercise 1.6


NCERT Solutions for Class 6 Maths Other Chapters:-

Chapter 1: Patterns in Mathematics

Chapter 2: Lines and Angles

Chapter 3: Number Play

Chapter 4: Data Handling and Presentation

Chapter 5: Prime Time

Chapter 6: Perimeter and Area

Chapter 7: Fractions

Chapter 8: Playing With Construction

Chapter 9: Symmetry

Chapter 10: The Other Side of Zero

Frequently Asked Questions

Exercise 1.6 of "Patterns in Mathematics" primarily examines the interesting connection between shape sequences and number sequences. The emphasis is on observing how geometric patterns can be quantified and represented by numerical patterns, and vice versa.

This section builds on earlier learning by encouraging students to recognize and extend different types of numbers and visual patterns. It helps them observe the relationships embedded within these patterns and appreciate their connections within mathematics.

In Exercise 1.6, students analyze common properties of shapes in a sequence, such as the number of sides, the number of corners, or the number of internal parts. They then compare these properties with a corresponding number sequence.

Join ALLEN!

(Session 2025 - 26)


Choose class
Choose your goal
Preferred Mode
Choose State
  • About
    • About us
    • Blog
    • News
    • MyExam EduBlogs
    • Privacy policy
    • Public notice
    • Careers
    • Dhoni Inspires NEET Aspirants
    • Dhoni Inspires JEE Aspirants
  • Help & Support
    • Refund policy
    • Transfer policy
    • Terms & Conditions
    • Contact us
  • Popular goals
    • NEET Coaching
    • JEE Coaching
    • 6th to 10th
  • Courses
    • Online Courses
    • Distance Learning
    • Online Test Series
    • International Olympiads Online Course
    • NEET Test Series
    • JEE Test Series
    • JEE Main Test Series
  • Centers
    • Kota
    • Bangalore
    • Indore
    • Delhi
    • More centres
  • Exam information
    • JEE Main
    • JEE Advanced
    • NEET UG
    • CBSE
    • NCERT Solutions
    • Olympiad
    • NEET 2025 Results
    • NEET 2025 Answer Key
    • NEET College Predictor
    • NEET 2025 Counselling

ALLEN Career Institute Pvt. Ltd. © All Rights Reserved.

ISO