CBSE Class 2 Mathematics Chapter 5: Patterns NCERT Solutions

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NCERT Solutions PDF Class 2 PDF

CBSE Class 2 Mathematics Chapter 5, 'Patterns,' introduces young learners to the exciting concept of repeating sequences and designs. The NCERT Solutions offer clear explanations and fun exercises that help students identify, grasp, and create various patterns. Using visual aids and straightforward problems, children will discover patterns in shapes, numbers, and common objects around them. These solutions aim to build a solid base in logical thinking and observation skills, which are vital for mathematical growth. Working through these exercises will boost problem-solving skills and prepare students for more advanced mathematical ideas later on, making exam preparation both effective and enjoyable.

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Quick info

BoardCBSE
ClassClass 2
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 5

Chapter summary

Chapter 5, 'Patterns,' for Class 2 Mathematics focuses on introducing students to the concept of repetition in shapes, numbers, and objects. The NCERT Solutions cover exercises that involve identifying, extending, and creating simple patterns. Students will learn to observe visual sequences and understand the logic behind them, fostering early analytical skills.

Learning outcomes

  • Identify repeating visual patterns in shapes and objects.
  • Extend given visual patterns by predicting the next elements.
  • Recognize and complete simple number patterns.
  • Understand the concept of a sequence in patterns.

Topics covered

Paper topics

  • Introduction to Patterns
  • Visual Patterns
  • Number Patterns
  • Repeating Sequences
  • Identifying Patterns
  • Completing Patterns
  • Shape Patterns

Important topics

  • Identifying Visual Patterns
  • Extending Patterns
  • Understanding Repeating Units
  • Simple Number Sequences

PDF preview

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Questions and Solutions

Question 1

Bholu has eaten a part of the shawl of Binni's mother. Look at the picture and help Binni in matching which piece is of the same pattern.
Solution:

To help Binni match the pieces of the shawl, we need to look for the pattern that repeats. By carefully observing the shapes and colors in the remaining part of the shawl and comparing them with the eaten pieces, Binni can find the matching pattern. The goal is to find the piece that has the same sequence of shapes and colors as the original pattern.

The solution involves visually comparing the fragments. For instance, if the original pattern shows a sequence of a red triangle followed by a blue circle, Binni should look for a piece that starts with a red triangle and is followed by a blue circle, or vice versa, depending on where the tear occurred.

After comparing all the given pieces with the remaining shawl pattern, the piece that perfectly aligns with the sequence of shapes and colors is the correct match.

Question 1 (Page No 32)

Madhav wants to make a pattern on a gate using . Can you guess which of these cannot be formed with this?
Solution:

Madhav is trying to create a pattern using a specific shape (represented by the image, likely a tile or a block). To determine which pattern cannot be formed, we need to understand the shape's properties and how it can be arranged. If the shape is, for example, a square tile, it can be arranged in many ways to form patterns. However, if the shape has a specific orientation or cannot tessellate (fit together without gaps) in a certain way, some patterns might be impossible.

For instance, if Madhav is using square tiles and wants to make a pattern that requires curved edges or interlocking pieces that don't fit, that pattern cannot be formed. The question implies that one of the potential patterns shown (or described) is not possible to create using only the given shape.

The solution would involve analyzing the geometry of the shape and the requirements of each potential pattern. The pattern that cannot be formed is the one that contradicts the shape's ability to tile or arrange itself according to the pattern's design.

Question 2

Fill up the blank boxes to complete the pattern.
Solution:

To complete the pattern, we first need to identify the rule or the repeating unit. Let's assume the pattern shown involves a sequence of shapes or numbers. We examine the given elements to see how they change from one step to the next.

For example, if the pattern is A, B, A, B, \_\_\_\_, \_\_\_\_, the rule is to alternate between A and B. So, the blank boxes would be filled with A and then B.

If the pattern involves numbers, like 1, 3, 5, \_\_\_\_, \_\_\_\_, we observe that each number is 2 more than the previous one. Therefore, the blanks would be filled with 7 and then 9.

By applying the identified rule consistently, we fill in the blank boxes to correctly complete the sequence.

Common mistakes

  • Incorrectly predicting the next element in a pattern.
  • Failing to notice the rule governing a pattern.
  • Confusing different types of patterns (e.g., visual vs. numerical).

Revision tips

  • Focus on observing the repeating unit in each pattern.
  • Practice drawing and extending patterns with different shapes.
  • Try to explain the rule of a pattern in your own words.
  • Look for patterns in your surroundings to reinforce learning.

Practice MCQs

Q1. Which of the following is a pattern that repeats?

Q2. If a pattern is Circle, Square, Circle, Square, what comes next?

Q3. What is the next number in the sequence: 2, 4, 6, 8,...?

Q4. Which shape is used to form a pattern by repeating it?

Frequently asked questions

What is the main concept of Chapter 5: Patterns for Class 2 Maths?

Chapter 5 introduces students to the concept of patterns, which are sequences that repeat or follow a specific rule. This includes visual patterns with shapes and simple number patterns.

How do these NCERT Solutions help students?

These solutions provide clear, step-by-step explanations for each question, helping students understand how to identify, extend, and create patterns, thereby reinforcing their learning.

What kind of patterns are covered in this chapter?

The chapter covers visual patterns using shapes and simple numerical patterns, focusing on recognition and continuation of these sequences.

Are the questions in this chapter difficult?

The questions are designed for Class 2 students and focus on basic pattern recognition and completion, making them manageable with clear guidance.

Important links

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