CBSE Class 3 Mathematics Chapter 10: Play with Patterns - NCERT Solutions

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NCERT Solutions PDF Class 3 PDF

This chapter, 'Play with Patterns,' for CBSE Class 3 Mathematics, introduces young learners to the fascinating world of patterns found all around us. The NCERT Solutions provide clear explanations and engaging exercises to help students identify, understand, and extend various types of patterns. From simple visual sequences to logical arrangements, this chapter encourages observation and critical thinking. The solutions guide students through recognizing rules governing patterns and applying them to continue sequences. This foundational understanding of patterns is crucial for developing problem-solving skills and mathematical reasoning. These solutions are designed to make learning enjoyable and aid students in their exam preparation by reinforcing key concepts through practice.

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Quick info

BoardCBSE
ClassClass 3
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 10

Chapter summary

Chapter 10, 'Play with Patterns,' focuses on developing observational skills and logical reasoning in Class 3 Mathematics. Students will learn to identify patterns in numbers, shapes, and everyday objects. The NCERT Solutions cover exercises that involve recognizing the rules behind given patterns and continuing them. This chapter aims to build a strong foundation for understanding sequences and mathematical logic through interactive and relatable examples.

Learning outcomes

  • Identify patterns in everyday objects and surroundings.
  • Understand the concept of a pattern's rule.
  • Continue given visual and numerical patterns.
  • Draw and create simple patterns.
  • Apply pattern recognition to solve simple problems.

Topics covered

Paper topics

  • Introduction to Patterns
  • Identifying Patterns
  • Visual Patterns
  • Number Patterns
  • Creating Patterns
  • Pattern Rules
  • Continuing Patterns
  • Sequences

Important topics

  • Identifying the rule of a pattern
  • Continuing visual patterns
  • Understanding daily cycle patterns
  • Applying pattern recognition

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Questions and Solutions

Question 1

Look around you and list three things in which you find some pattern.
Solution:

Patterns are everywhere! Here are three examples of things where we can find patterns:

  1. The tiles on the floor or walls of a bathroom often have repeating designs.
  2. A saree worn by a mother or a shirt worn by a friend can have beautiful, repeating motifs or designs.
  3. The arrangement of leaves on a stem or the petals on a flower can also show a pattern.

Observing these patterns helps us understand the world around us better.

Question 2

Draw some patterns which you have found around yourself.
Solution:

This question asks you to draw patterns you observe in your surroundings. Here are some ideas for patterns you could draw:

Pattern Idea 1: Flower Garden

Imagine a garden with rows of flowers. You could draw a pattern like: Rose, Marigold, Rose, Marigold, ...

Pattern Idea 2: Building Blocks

If you have building blocks, you might stack them in a pattern like: Red block, Blue block, Red block, Blue block, ...

Pattern Idea 3: Shapes on a Kite

A kite might have a pattern of shapes, for example: Triangle, Square, Triangle, Square, ...

Remember to draw these patterns neatly and clearly, showing the repeating elements.

Question 1 (a)

Practice Time • Given below are some patterns. Figure out the rule for each and continue the pattern.

(a) 333

Rule:

333333

Solution:

The given pattern starts with the number '3' repeated three times (333). The next part of the pattern shows the number '3' repeated six times (333333).

Let's look at the number of times '3' is repeated in each step:

  • First step: '3' is repeated 3 times.
  • Second step: '3' is repeated 6 times.

We can see that the number of times '3' is repeated increases by 3 each time (from 3 to 6). So, the rule is to add 3 to the count of '3's in the previous step.

To continue the pattern, the next step would have '3' repeated 6 + 3 = 9 times.

Next in the pattern: 333333333

Question 1 (b)

Practice Time • Given below are some patterns. Figure out the rule for each and continue the pattern.

(b) AABAAB

Rule:

AABAABAAB

Solution:

The given pattern is AABAAB. Let's examine this sequence to find the rule.

We can see that the letters 'A' appear twice, followed by the letter 'B' appearing once. This group of 'AAB' then repeats.

So, the rule is: Repeat the sequence 'AAB'.

The pattern shown is AABAAB, which is 'AAB' repeated twice.

To continue the pattern, we repeat 'AAB' again.

Next in the pattern: AABAABAAB

The rule can be stated as: There is one 'B' after every two 'A's.

Question 1 (c)

Practice Time • Given below are some patterns. Figure out the rule for each and continue the pattern.

(c) Rule:

First 3 images are repeated in the pattern.

Solution:

This question describes a pattern where the first three images are repeated in sequence. Although the images themselves are not provided in the text, we can understand the rule.

Let's assume the first three images are Image 1, Image 2, and Image 3.

According to the rule, the pattern would look like this:

Image 1, Image 2, Image 3, Image 1, Image 2, Image 3, Image 1, Image 2, Image 3, ...

The rule clearly states that the set of the first three images forms a block that repeats over and over.

Question 1 (d)

Practice Time • Given below are some patterns. Figure out the rule for each and continue the pattern.

(d) Morning, afternoon, evening, night, morning, ......

Solution:

The pattern given is: Morning, afternoon, evening, night, morning, ...

This sequence represents the progression of time during a day and into the next.

The order is:

  • Morning
  • Afternoon
  • Evening
  • Night

After 'night', the cycle begins again with 'morning'. The pattern has already shown 'morning' once after 'night'.

Therefore, the next step in the sequence after 'morning' is 'afternoon'.

Next in the pattern: Afternoon

Question 1 (e)

Practice Time • Given below are some patterns. Figure out the rule for each and continue the pattern.

(e) Rule: There is one red pot after every blue pot.

Solution:

The rule given is: "There is one red pot after every blue pot." This means the pattern consists of a blue pot followed immediately by a red pot, and this pair repeats.

Let's represent a blue pot as 'B' and a red pot as 'R'.

Following the rule, the pattern would look like:

B, R, B, R, B, R, ...

The sequence is formed by alternating between a blue pot and a red pot, with the red pot always coming after the blue one.

Common mistakes

  • Difficulty in identifying the correct rule for a pattern.
  • Errors in continuing a pattern due to misinterpreting the rule.
  • Confusing different types of patterns (e.g., visual vs. numerical).
  • Inability to generalize a pattern's rule.

Revision tips

  • Actively look for patterns in your environment and try to describe their rules.
  • Practice drawing and extending patterns from the chapter exercises.
  • Explain the rule of a pattern to a friend or family member to solidify your understanding.
  • Review the examples provided in the solutions to understand different pattern types.

Practice MCQs

Q1. What is the rule for the pattern: 333, 333333,...?

Q2. Which of the following is a pattern?

Q3. What comes next in the pattern: Morning, afternoon, evening, night, morning,...?

Q4. In the pattern AABAAB, what is the rule?

Frequently asked questions

What is the main goal of Chapter 10, 'Play with Patterns' for Class 3 Maths?

The main goal is to help students develop their observation skills and logical reasoning by identifying, understanding, and continuing various types of patterns found in numbers, shapes, and everyday life.

How do these NCERT Solutions help students with patterns?

These solutions provide clear, step-by-step explanations for each question, helping students understand the rules behind different patterns and how to extend them correctly. They offer a reference for practice and concept reinforcement.

Can students draw their own patterns using this chapter?

Yes, the chapter encourages students to observe patterns around them and draw them. The solutions guide them on how to think about pattern rules, which can inspire them to create their own unique patterns.

What kind of patterns are covered in this chapter?

The chapter covers various patterns, including visual patterns (like shapes and colours), number patterns, and patterns related to daily cycles (like morning, afternoon, evening, night).

Important links

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