CBSE Class 4 Math NCERT Solutions Chapter 10: Patterns
CBSE Class 4 Mathematics chapter 'Patterns' delves into the engaging concept of identifying and extending sequences. This chapter introduces young learners to the logic behind repeating shapes, numbers, and letters, fostering their observational and analytical skills. Through NCERT Solutions, students will explore various types of patterns, including numerical sequences, alphabetical arrangements, and even geometric designs. The solutions offer clear explanations and practice exercises to help students grasp how to predict the next element in a given pattern. This foundational understanding is crucial for developing critical thinking and problem-solving abilities, preparing them for more complex mathematical concepts in the future. The chapter aims to make learning about patterns a fun and interactive experience.
Quick info
| Board | CBSE |
|---|---|
| Class | Class 4 |
| Subject | गणित |
| Session | 2026 |
| Language | Hindi |
| Type | NCERT Solutions |
| Chapter | 10. पैटर्न |
Chapter summary
Chapter 10, 'Patterns,' in the CBSE Class 4 Math NCERT Solutions focuses on recognizing and continuing sequences. It covers patterns in letters and numbers, including alphabetical series and numerical progressions. The chapter also introduces 'Magical Patterns' and 'Magical Triangles' that involve specific sums along lines, encouraging logical deduction. These solutions aim to enhance students' observational skills and their ability to predict the next elements in a given sequence.
Learning outcomes
- Understand the concept of patterns in numbers and letters.
- Identify and extend alphabetical patterns.
- Identify and extend numerical patterns.
- Create original number patterns.
- Solve problems involving 'Magical Patterns' with a fixed sum.
- Apply logic to complete 'Magical Triangle' puzzles.
Topics covered
Paper topics
- Introduction to Patterns
- Alphabet Patterns
- Number Patterns
- Extending Patterns
- Creating Patterns
- Magical Patterns
- Magical Triangles
- Sum of Numbers in Patterns
Important topics
- Identifying and extending alphabetical patterns
- Identifying and extending numerical patterns
- Creating original number patterns
- Solving 'Magical Patterns' with a fixed sum
- Understanding rules for sequences
PDF preview
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Questions and Solutions
पाठ - 10
पैटर्न
पैटर्न
Q1. हम संख्याओं और अक्षरों से भी पैटर्न बना सकते हैं। नीचे कुछ उदाहरण दिए गए हैं, उनको देखो और आगे बढ़ाओ।
ABC DEF GHI 28Z 27Y 26X 864 764 664 9 109 209
उत्तर: दिए गए पैटर्न का पालन करके, हम उन्हें आगे ले जा सकते हैं:
ABC DEF GHI JKL PQR MNO 28Z 27Y 26X 25W 23U 24V 864 764 664 564 364 464 0 109 209 309 509 409
Q2. संख्याओं का प्रयोग करते हुए अपने पैटर्न खुद बनाओ।
उत्तर :
11 22 33 44 66 55 101 202 303 404 606 505
कोई संख्या दुबारा न आए
Q1. इसी तरह तुम भी A, B, C को नीचे दिए गए बॉक्स में लिखो। कोई भी अक्षर दोहराया न जाए।
उत्तर:
A В C C A В В C A
जादुई पैटर्न
Q1. अब तुम 1 से 9 तक की संख्याओं को इन तारों में भरो। नियम यह है कि हर लाइन में संख्याओं का जोड़ 15 आए।
उत्तर:
4 0 7 5 3 2 8 9
जादुई तिकोन
Q1. 1 से 6 तक की संख्याओं का प्रयोग करते हुए अपना जादुई तिकोन बनाओ। नियम-हर एक लाइन की संख्याओं का जोड़ 10 आना चाहिए।
उत्तर:
Common mistakes
- Incorrectly extending alphabetical sequences by skipping letters.
- Errors in calculating the next number in a numerical pattern.
- Misinterpreting the rule for 'Magical Patterns' or 'Magical Triangles'.
- Repeating numbers or letters when not allowed in a pattern.
Revision tips
- Practice identifying the rule for each pattern before extending it.
- Create your own patterns to test your understanding.
- Pay close attention to the specific conditions in 'Magical Patterns' (e.g., sum of lines).
- Review the examples carefully to understand different types of sequences.
Practice MCQs
Q1. What is the next letter in the pattern: A B C D E __?
Explanation: This is a simple alphabetical sequence where each letter follows the previous one in order. Therefore, F comes after E.
Q2. Which number comes next in the sequence: 10, 20, 30, 40, __?
Explanation: The pattern is adding 10 to the previous number. So, 40 + 10 = 50.
Q3. In the pattern 28Z, 27Y, 26X, what is the next term?
Explanation: The number decreases by 1 (28, 27, 26) and the letter goes backward in the alphabet (Z, Y, X). So, the next term is 25W.
Q4. What is the sum of each line in the 'Magical Triangle' if it uses numbers 1 to 6 and each line sums to 10?
Explanation: The problem explicitly states that the rule for the 'Magical Triangle' is that the sum of numbers on each line should be 10.
Q5. If a pattern is 864, 764, 664, what is the next term?
Explanation: The hundreds digit is decreasing by 1 (8, 7, 6), while the tens and units digits remain the same. So, the next term is 564.
Frequently asked questions
What is the main focus of Chapter 10: Patterns for Class 4 Math?
Chapter 10 focuses on teaching students to recognize, understand, and extend various patterns found in numbers and letters, including special 'magical' patterns.
How do these NCERT Solutions help students?
These solutions provide clear, step-by-step explanations for each problem, helping students grasp the logic behind patterns and improve their problem-solving abilities for exams.
What are 'Magical Patterns'?
'Magical Patterns' are sequences or arrangements where numbers follow a specific rule, often involving a constant sum along lines or within a shape.
Are there any specific rules for the 'Magical Triangle' in the chapter?
Yes, the 'Magical Triangle' exercise requires using numbers 1 to 6 such that the sum of numbers along each line of the triangle equals 10.
Can students create their own patterns using these solutions?
Yes, the chapter encourages students to create their own number patterns, and the solutions provide examples and guidance on how to do this.
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