assignment of class 10 math

Assignments for Class 10 th

Download Sample Questions and Assignments for Class 10 with important Topic- Wise Questions. These Sample Questions and Assignments have been prepared as per the syllabus issued by CBSE, KVS and topics given in NCERT Books. Solving this Sample questions and Assignments will help in scoring in more marks in your class tests and school examinations.

Click on links below for Assignments with important questions for Class 10 Mathematics and Science chapter wise.

Assignment for Class 10th Mathematics Topic- Wise- PDF Download

1.real number.

Assignment for Class 10 Mathematics Real Number Assignment 1

2. Polynomials

Assignment for Class 10 Mathematics Polynomials Assignment

3. Linear Equation in Two Variables

Assignment for Class 10 Mathematics Linear Equation in Two Variables Assignment 1

Assignment for class 10 Mathematics Linear Equation in Two Variables Assignment 2

4. Coordinate Geometry

Assignment for Class 10 Mathematics Coordinate Geometry Assignment

5. Quadratic Equation

Assignment for Class 10 Mathematics Quadratic Equation Assignment

6. Arithmetic Progression

Assignment for Class 10 Mathematics Arithmetic Progression Assignment

7. Triangles

Assignment for Class 10 Mathematics Triangles Assignment

8. Coordinate Geometry

9. introduction to trigonometry.

Assignment for Class 10 Mathematics Introduction to Trigonometry Assignment

10. Some Application of Trigonometry

Assignment for Class 10 Mathematics Some Application to Trigonometry Assignment

11. Circles

Assignment for Class 10 Mathematics Circles Assignment

12. Constructions

Assignment for Class 10 Mathematics Constructions Assignment

13. Area Related to Circles

Assignment for Class 10 Mathematics Area Related to Circles Assignment

14. Surface Area and Volume

Assignment for Class 10 Mathematics Surface Area and Volumes Assignment

15. Statistics

Assignment for Class 10 Mathematics Statistics Assignment

16. Probability

Assignment for Class 10 Mathematics Probability Assignment

Assignment for Class 10th Biology Topic- Wise- PDF Download

1.life process.

Assignment for Class 10 Biology Life Process: Nutrition Assignment 1

Assignment for Class 10 Biology Life Process: Nutrition Assignment 2

Assignment for Class 10 Biology Life Process: Nutrition Assignment 3

Assignment for Class 10 Biology Life Process: Transportation Assignment 4

Assignment for Class 10 Biology Life Process: Transportation Assignment 5

Assignment for Class 10 Biology Life Process: Excretion Assignment 6

Assignment for Class 10 Biology Life Process: Respiration Assignment 7

Assignment for Class 10 Biology Life Process: Respiration Assignment 8

Assignment for Class 10th Chemistry Topic- Wise- PDF Download

1.chemical reactions and equation.

Assignment for Class 10 Chemistry Chemical Reactions and Equation Assignment 1

Assignment for Class 10 Chemistry Chemical Reactions and Equation Assignment 2

Assignment for Class 10 Chemistry Chemical Reactions and Equation Assignment 3

2. Acid, Bases and Salt

Assignment for Class 10 Chemistry Acid, Bases and Salt Assignment 1

Assignment for Class 10 Chemistry Acid, Bases and Salt Assignment 2

Assignment for Class 10 Chemistry Acid, Bases and Salt Assignment 3

3. Metals and Non- Metals

Assignment for Class 10 Chemistry Metals and Non-Metals Assignment 1

Assignment for Class 10 Chemistry Metals and Non-Metals Assignment 2

Assignment for Class 10 Chemistry Metals and Non-Metals Assignment 3

Assignment for Class 10 Chemistry Metals and Non-Metals Assignment 4

Assignment for Class 10 Chemistry Metals and Non-Metals Assignment 5

Assignment for Class 10th Physics Topic- Wise- PDF Download

1.electricity.

Assignment for Class 10 Physics Electricity Assignment 1

Assignment for Class 10 Physics Electricity Assignment 2

Assignment for Class 10 Physics Electricity Assignment 3

Assignment for Class 10 Physics Electricity Assignment 4

Assignment for Class 10 Physics Light Assignment 1

Assignment for Class 10 Physics Light Assignment 2

Assignment for Class 10 Physics Light Assignment 3

Assignment for Class 10 Physics Light Assignment 4

Assignment for Class 10 Physics Light: Human Eye Assignment 5

3. Magnetism and EMI

Assignment for Class 10 Physics Magnetism and EMI Assignment 1

Assignment for Class 10 Physics Magnetism and EMI Assignment 2

Assignment for Class 10 Physics Magnetism and EMI Assignment 3

4. Sources and Energy

Assignment for Class 10 Physics Sources of Energy Assignment 1

Assignment for Class 10 Physics Sources of Energy Assignment 2

Advantages of Sample Question Assignments of Class 10

i. By solving Sample Question of Class 10, students can improve their problem solving skills.

ii.Help to develop the subject knowledge.

iii.Solving Sample Question Assignment helps students to promotes hands on learning.

iv. Useful for classroom revision.

v. Practicing Assignments will be useful to test conceptual understanding.

Assignment Class 8 Science

Assignment Class 9 Science

Assignment Class 10 Science

Assignment Class 11 Physics

Assignment Class 11 Chemistry

Assignment Class 11 Biology

Assignment Class 12 Physics

Assignment Class 12 Chemistry

Assignment Class 12 Biology

Mathematics Assignments

Assignment Class 8 Math

Assignment Class 9 Math

Assignment Class 10 Math

Assignment Class 11 Math

Assignment Class 12 Math

Sample Papers

Sample Paper Class 8 Science

Sample Paper Class 9 Science

Sample Paper Class 10 Science

Sample Paper Class 8 Math

Sample Paper Class 9 Math

Sample Paper Class 10 Math

Sample Paper Class 11 Physics

Sample Paper Class 11 Chemistry

Sample Paper Class 11 Biology

Sample Paper Class 11 Mathematics

Sample Paper Class 12 Physics

Sample Paper Class 12 Chemistry

Sample Paper Class 12 Biology

Sample Paper Class 12 Mathematics

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Class 10 Maths

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers

Class 10 Maths Chapter 1 Solutions Class 10 Maths Chapter 1 Main Topics Class 10 Maths Chapter 1 Practice Tests 10th Maths Chapter 1 Question wise Solutions Class 10 Maths Chapter 1 MCQ Class 10 Maths Chapter 1 Assignments

NCERT Solutions for Class 10 Maths Chapter 1

Learning Class 10 Maths Chapter 1, Real Numbers, effectively requires a systematic approach and a clear understanding of the concepts involved. Here are some steps and strategies to help you learn this chapter.

Get here the NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers all exercises in Hindi and English medium revised and modified for session 2024-25. The solution of chapter 1 class 10th mathematics is updated according to NCERT textbooks published for 2024-25 CBSE exams.

Euclid’s Division Lemma states that for any two positive integers a and b, there exist unique integers q and r such that: a = bq + r, where 0 ≤ r < b. The Fundamental Theorem of Arithmetic states that every positive integer greater than 1 can be expressed as a product of prime numbers in a unique way, up to the order of factors.

Methods for proving the irrationality of certain numbers, such as the square root of a prime number, are discussed. Understanding decimal expansions of real numbers. Terminating decimals and recurring decimals. Rationalization is the process of converting an irrational number into a rational one by multiplying or dividing by a suitable number.

According to rationalised syllabus for academic session 2024-25, only two exercises are in chapter 1. The exercise 1.1 deleted and exercise 1.2 become the exercise 1.1. Similarly exercise 1.3 become exercise 1.2 and exercises 1.4 is also deleted. The course structure of class 10 mathematics chapter 1 is given below: Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5.

>> Total Number of Exercises: 2 >> Total Marks in Board Exam: 6 >> Number of Periods needed: 15

Class 10 Maths Chapter 1, titled Real Numbers, is an important chapter that lays the foundation for understanding various mathematical concepts. The main points covered in this chapter include introduction to Real Numbers. Real numbers are a set of numbers that includes all rational and irrational numbers. Real numbers can be represented on the number line.

Utilize online resources like video tutorials, educational websites like Tiwari Academy, and interactive quizzes to reinforce your understanding of the chapter. As you progress, practice solving sample papers or past year question papers. This will help you become familiar with the exam pattern and time management. Periodically test your knowledge by attempting self-assessment quizzes or problems from the chapter. This will help you gauge your progress.

In class 10 Maths Chapter we will learn about understanding square numbers and their properties. Finding the square root of a number using prime factorization. Real numbers are used in various mathematical applications, such as finding the distance between two points in coordinate geometry.

Class 10 Maths Chapter 1 Real Numbers

The chapter provides numerous examples and practice problems to reinforce the concepts discussed. These are the main points covered in Class 10 Maths Chapter 1, Real Numbers. It serves as the building block for further mathematical concepts and is essential for a solid foundation in mathematics. Get here topic wise NCERT Solutions for 10th Mathematics chapter 1 all exercises in Hindi and English medium. Students can take help of videos for solving questions of each exercise.

Class 10 Maths Chapter 1 Solutions for CBSE Board

• Class 10 Maths Chapter 1 Exercise 1.1
• Class 10 Maths Chapter 1 Exercise 1.2

Class 10 Maths Chapter 1 Solutions for State Boards

• Class 10 Maths Chapter 1 Exercise 1.3
• Class 10 Maths Chapter 1 Exercise 1.4
• Class 10 Maths Chapter 1 NCERT Book
• Class 10 Mathematics NCERT Solutions
• Class 10 all Subjects NCERT Solutions

10th Maths Chapter 1 Exercise 1.1 Solutions

Class 10 Maths Chapter 1 Exercise 1.1 Question 1 Express each number as a product of its prime factors: (i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429 The step by step solutions of each part is given here with practice questions>. You can discuss with us Part (i) , Part (ii) , Part (iii) , Part (iv) , and Part (v) to learn more about the solution.

Class 10 Maths Chapter 1 Exercise 1.1 Question 2 Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54. Get the solution of question 2 and discuss Part (i) , Part (ii) and Part (iii) with us along with assignments and other doubts for more clarification.

Class 10 Maths Chapter 1 Exercise 1.1 Question 3 Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25. Discuss with part one , two and three in detail and get worksheets to understand the solution in simple way.

Class 10 Maths Chapter 1 Exercise 1.1 Question 4 Given that HCF (306, 657) = 9, find LCM (306, 657). The solution of this question is very simple and usually asked in MCQ type questions. For more revision , please write to us .

Class 10 Maths Chapter 1 Exercise 1.1 Question 5 Check whether 6ⁿ can end with the digit 0 for any natural number n. The solution of question 5 is similar to the example given in textbook. Discuss with us and Practice here more questions based on question 5.

Class 10 Maths Chapter 1 Exercise 1.1 Question 6 Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers. Extra questions for practice based on the solution of question 6 are given here to download. Put your view to discuss with us.

Class 10 Maths Chapter 1 Exercise 1.1 Question 7 There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? Question number 7 is important for exams. Get here the solution and practice assignments with answers for revision.

10th Maths Chapter 1 Exercise 1.2 Solutions

Class 10 Maths Chapter 1 Exercise 1.2 Question 1 Prove that √5 is irrational. To understand the solution of question 1, student need to practice assignments and discuss the explanation in depth.

Class 10 Maths Chapter 1 Exercise 1.2 Question 2 Prove that 3 + 2√5 is irrational. Get here the assignments and practice questions based on the solution of question 2. If still there is any doubt, please visit to discussion forum.

Class 10 Maths Chapter 1 Exercise 1.2 Question 3 Prove that the following are irrationals: (i) 1/√2 (ii) 7√5 (iii) 6 + √2 The solution of question 3 is similar to question 1 and 2. Get more practice to learn the concepts in better way. Discuss in detail here.

Use number lines and diagrams to visualize concepts like decimal expansions and the placement of real numbers on the number line. Visual aids can help make abstract concepts more concrete. Don’t hesitate to ask your teacher or a classmate for help if you encounter difficulties. Sometimes, discussing problems with others can provide valuable insights. Maintain a study schedule and allocate specific time slots for learning and practicing this chapter. Consistency is key.

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The complete chapter of 10th Maths chapter 1 is divided in four main parts. The explanation of each part with video explanation is given below. Start by reading the chapter thoroughly and grasp the basic definitions and concepts. Ensure that you understand the definitions of real numbers, Euclid’s Division Lemma, and the Fundamental Theorem of Arithmetic. Take concise notes while reading the chapter. Write down key formulas, definitions, and important points. These notes will be helpful for quick revision.

Learn here how to find the prime factorization of numbers. This skill is essential for various aspects of number theory. Practice finding the prime factorization of different numbers. Practice working with terminating and recurring decimals. Solve problems that involve decimal expansions of real numbers. Familiarize yourself with methods for rationalizing irrational numbers, especially square roots. Practice these techniques with different examples. Remember that learning mathematics often requires patience and persistence. Take your time to understand each concept thoroughly before moving on to the next. By following these steps and strategies, you can effectively learn Class 10 Maths Chapter 1 Real Numbers.

Class 10 Maths Chapter 1 Main Topics Mathematics is best learned through practice. Solve a variety of problems related to real numbers, including examples from your textbook and additional practice questions. Pay attention to different types of questions, such as finding HCF, LCM, prime factorization, and working with decimal expansions.

10th Maths Chapter 1 Practice Test Papers

Euclid’s Division Lemma is a fundamental concept in this chapter. Make sure you understand how it works and can apply it to solve problems related to divisibility and remainders. There are four exercises in chapter 1 covering all the four topics on Real Numbers. Students can practice well using the 6 question papers given below. It will help to prepare the chapter for CBSE exams also.

Class 10 Maths Chapter 1 Practice Tests with Answers

• Class 10 Maths Chapter 1 Practice Test 1
• Class 10 Maths Chapter 1 Practice Test 2
• Class 10 Maths Chapter 1 Practice Test 3
• Class 10 Maths Chapter 1 Practice Test 4
• Class 10 Maths Chapter 1 Practice Test 5
• Class 10 Maths Chapter 1 Practice Test 6
• Download More Assignments with Solution

The word algorithm come from the name of the name of the 9th century Persian mathematician al-Khwarizmi. The word ‘algebra’ is derived from a book, he wrote, called Hisab al-jabr w’al-muqabala.

An equivalent version of Fundamental theorem of Arithmetic was probably first recorded as Proposition 14 of Book IX in Euclid’s Elements, before it came to be known as the Fundamental Theorem of Arithmetic.

However, the first correct proof was given by Carl Friedrich Gauss in his al-Khwarizmi. Carl Friedrich Gauss is often referred to as the ‘Prince of Mathematicians’ and is considered one of the three greatest mathematicians of all time, along with Archimedes and Newton. He has made fundamental contributions to both mathematics and science. Learn here how to make class 10 Maths chapter 1 easy to learn.

How many exercises are there in class 10 Maths chapter 1 Real numbers?

Now there are only 2 exercises in class 10 chapter 1 (Real numbers): In first exercise (Ex 1.1), there are 5 questions. In second exercise (Ex 1.2), there are 7 questions. So, there are in all 18 questions in class 10 chapter 1 (Real numbers). There are in all 11 examples in class 10 chapter 1 (Real numbers).

• Examples 1,2,3,4 are based on Ex 1.1.
• Examples 5,6,7,8 are based on Ex 1.2.

Are there any Theorems or Algorithm in 10th Maths chapter 1?

Yes, there are 7 Theorems and 1 Algorithm in class 10 chapter 1 (Real numbers). First exercise (Ex 1.1) is based on Theorem 1.1 (Euclid’s Division Lemma) and Euclid’s Division algorithm. Theorem 1.2 (Fundamental Theorem of Arithmetic) is used in second exercise (Ex 1.2).

What are the Important questions from Maths class 10 chapter 1 Real numbers?

Important questions from Maths class 10 chapter 1:

• In first exercise (Ex 1.1), all questions are important.
• In second exercise (Ex 1.2), Q2, 4, 5, 7 are important.

Which topics students should recall before starting class 10 Maths chapter 1?

Students should recall some topics of class 9 chapter 1 (Number systems). Topics :

• Types of numbers (Natural number, Whole number, Integers, Rational numbers, Irrational numbers and Real numbers).
• Decimal expansion of Rational numbers (Terminating and Non-terminating recurring) and Irrational numbers (Non-terminating non-recurring).
• HCF (Highest Common Factor) and LCM (Lowest/Least Common Multiple).
• And some other topics like Meaning of Dividend, Divisor, Quotient and Remainder, Prime numbers, Composite numbers, Factors.

Chapter 2: Polynomials »

Shikhar Tiwari

Having graduated from Electronics and Communication Engineering from AKTU – Noida, India, in 2021, working for Tiwari Academy as a content writer and reviewer. My main focus is to provide an easy to understand methods in all subjects specially mathematics and making study material with step by step explanation.

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NCERT Books

CBSE Class 10 Math Workbook

CBSE Class 10 Maths Workbook : Practising CBSE Class 10 Maths Worksheets is of utmost importance in order to build strong knowledge over the subject. As solving Worksheets of CBSE Class 10 Maths will help students to acquire knowledge in an interactive way. After revising the whole syllabus effectively, students are advised to solve worksheets to analyze their preparation level to secure good marks in the exam. Solving worksheets of CBSE Class 10 Maths will help students to build their confidence in logical, analytical, and problem-solving capabilities. All our CBSE Chapter wise Test Papers for Class 10 Maths  are designed for helping students to understand various topics, practice skills and improve their subject knowledge which in turn helps students to improve their academic performance.  

So in this article, we will provide you with CBSE 10 Maths Worksheet s . Students can download the CBSE worksheets pdf for free and make use of them during their revision. Also, Teachers and Parents who are in search of worksheets can also get from this page. By solving these worksheets, students will get to know their mistakes and weaknesses and further learn from them. Additionally, solving class 10 maths worksheets, extra questions, important questions and sample papers helps students to boost their confidence and help them score higher and higher.

CBSE Class 10 Maths Worksheets and Assignments PDF

As a conclusion, by solving class 10 maths assignments , students will get inspired to build a purposeful and joyful development through learning. Students can just click on the download link given below to download the CBSE Class 10 Maths Worksheets and use it in offline mode as well . 

CBSE Class 10 Maths Areas Related To Circles Worksheets

• CBSE Worksheets for Class 10 Maths Areas related to Circles Assignment 1
• CBSE Worksheets for Class 10 Maths Areas related to Circles Assignment 2
• CBSE Worksheets for Class 10 Maths Areas related to Circles Assignment 3
• CBSE Worksheets for Class 10 Maths Areas related to Circles Assignment 4
• CBSE Worksheets for Class 10 Maths Areas related to Circles Assignment 5
• CBSE Worksheets for Class 10 Maths Areas related to Circles Assignment 6

CBSE Class 10 Maths Arithmetic Progression Worksheets

• CBSE Worksheets for Class 10 Maths Arithmetic Progression Assignment 1
• CBSE Worksheets for Class 10 Maths Arithmetic Progression Assignment 2
• CBSE Worksheets for Class 10 Maths Arithmetic Progression Assignment 3
• CBSE Worksheets for Class 10 Maths Arithmetic Progression Assignment 4

CBSE Class 10 Maths Circles Worksheets

• CBSE Worksheets for Class 10 Maths Circles Assignment 1
• CBSE Worksheets for Class 10 Maths Circles Assignment 2
• CBSE Worksheets for Class 10 Maths Circles Assignment 3
• CBSE Worksheets for Class 10 Maths Circles Assignment 4
• CBSE Worksheets for Class 10 Maths Circles Assignment 5
• CBSE Worksheets for Class 10 Maths Circles Assignment 6
• CBSE Worksheets for Class 10 Maths Circles Assignment 7

CBSE Class 10 Maths Coordinate Geometry Worksheets

• CBSE Worksheets for Class 10 Maths Coordinate Geometry Assignment 1
• CBSE Worksheets for Class 10 Maths Coordinate Geometry Assignment 2
• CBSE Worksheets for Class 10 Maths Coordinate Geometry Assignment 3
• CBSE Worksheets for Class 10 Maths Coordinate Geometry Assignment 4
• CBSE Worksheets for Class 10 Maths Coordinate Geometry Assignment 5
• CBSE Worksheets for Class 10 Maths Coordinate Geometry Assignment 6
• CBSE Worksheets for Class 10 Maths Coordinate Geometry Assignment 7

CBSE Class 10 Maths Linear Equations Worksheets

• CBSE Worksheets for Class 10 Maths Linear Equations Assignment 1
• CBSE Worksheets for Class 10 Maths Linear Equations Assignment 2
• CBSE Worksheets for Class 10 Maths Linear Equations Assignment 3
• CBSE Worksheets for Class 10 Maths Linear Equations Assignment 4
• CBSE Worksheets for Class 10 Maths Linear Equations Assignment 5
• CBSE Worksheets for Class 10 Maths Linear Equations Assignment 6
• CBSE Worksheets for Class 10 Maths Linear Equations Assignment 7
• CBSE Worksheets for Class 10 Maths Linear Equations Assignment 8
• CBSE Worksheets for Class 10 Maths Linear Equations Assignment 9
• CBSE Worksheets for Class 10 Maths Linear Equations Assignment 10
• CBSE Worksheets for Class 10 Maths Linear Equations Assignment 11

CBSE Class 10 Maths Number System Worksheets

• CBSE Worksheets for Class 10 Maths Number System Assignment

CBSE Class 10 Maths Polynomials Worksheets

• CBSE Worksheets for Class 10 Maths Polynomials Assignment 1
• CBSE Worksheets for Class 10 Maths Polynomials Assignment 2
• CBSE Worksheets for Class 10 Maths Polynomials Assignment 3
• CBSE Worksheets for Class 10 Maths Polynomials Assignment 4
• CBSE Worksheets for Class 10 Maths Polynomials Assignment 5
• CBSE Worksheets for Class 10 Maths Polynomials Assignment 6
• CBSE Worksheets for Class 10 Maths Polynomials Assignment 7
• CBSE Worksheets for Class 10 Maths Polynomials Assignment 8
• CBSE Worksheets for Class 10 Maths Polynomials Assignment 9
• CBSE Worksheets for Class 10 Maths Polynomials Assignment 10

CBSE Class 10 Maths Probability Worksheets

• CBSE Worksheets for Class 10 Maths Probability Assignment 1
• CBSE Worksheets for Class 10 Maths Probability Assignment 2
• CBSE Worksheets for Class 10 Maths Probability Assignment 3
• CBSE Worksheets for Class 10 Maths Probability Assignment 4
• CBSE Worksheets for Class 10 Maths Probability Assignment 5
• CBSE Worksheets for Class 10 Maths Probability Assignment 6
• CBSE Worksheets for Class 10 Maths Probability Assignment 7

CBSE Class 10 Maths Quadratic Equation Worksheets

• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 1
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 2
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 3
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 4
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 5
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 6
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 7
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 8
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 9
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 10
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 11
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 12
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 13
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 14
• CBSE Worksheets for Class 10 Maths Quadratic Equation Assignment 15

CBSE Class 10 Maths Real Numbers Worksheets

• CBSE Worksheets for Class 10 Maths Real Numbers Assignment 1
• CBSE Worksheets for Class 10 Maths Real Numbers Assignment 2
• CBSE Worksheets for Class 10 Maths Real Numbers Assignment 3
• CBSE Worksheets for Class 10 Maths Real Numbers Assignment 4
• CBSE Worksheets for Class 10 Maths Real Numbers Assignment 5
• CBSE Worksheets for Class 10 Maths Real Numbers Assignment 6
• CBSE Worksheets for Class 10 Maths Real Numbers Assignment 7
• CBSE Worksheets for Class 10 Maths Real Numbers Assignment 8
• CBSE Worksheets for Class 10 Maths Real Numbers Assignment 9
• CBSE Worksheets for Class 10 Maths Real Numbers Assignment 10

CBSE Class 10 Maths Statistics Important Questions Worksheets

• CBSE Worksheets for Class 10 Maths Statistics Assignment 1
• CBSE Worksheets for Class 10 Maths Statistics Assignment 2
• CBSE Worksheets for Class 10 Maths Statistics Assignment 3
• CBSE Worksheets for Class 10 Maths Statistics Assignment 4
• CBSE Worksheets for Class 10 Maths Statistics Assignment 5
• CBSE Worksheets for Class 10 Maths Statistics Assignment 6
• CBSE Worksheets for Class 10 Maths Statistics Assignment 7
• CBSE Worksheets for Class 10 Maths Statistics Assignment 8
• CBSE Worksheets for Class 10 Maths Statistics Assignment 9

CBSE Class 10 Maths Workbook | Surface Area And Volume Worksheets

• CBSE Worksheets for Class 10 Maths Surface Area and Volume Assignment 1
• CBSE Worksheets for Class 10 Maths Surface Area and Volume Assignment 2
• CBSE Worksheets for Class 10 Maths Surface Area and Volume Assignment 3

CBSE Class 10 Maths Triangles Important Questions Worksheets

• CBSE Worksheets for Class 10 Maths Triangles Assignment 1
• CBSE Worksheets for Class 10 Maths Triangles Assignment 2
• CBSE Worksheets for Class 10 Maths Triangles Assignment 3
• CBSE Worksheets for Class 10 Maths Triangles Assignment 4
• CBSE Worksheets for Class 10 Maths Triangles Assignment 5
• CBSE Worksheets for Class 10 Maths Triangles Assignment 6
• CBSE Worksheets for Class 10 Maths Triangles Assignment 7

CBSE Class 10 Maths Workbook | Applications Of Trigonometry Worksheets

• CBSE Worksheets for Class 10 Maths Applications of Trigonometry Assignment 1
• CBSE Worksheets for Class 10 Maths Applications of Trigonometry Assignment 2
• CBSE Worksheets for Class 10 Maths Applications of Trigonometry Assignment 3
• CBSE Worksheets for Class 10 Maths Applications of Trigonometry Assignment 4
• CBSE Worksheets for Class 10 Maths Applications of Trigonometry Assignment 5
• CBSE Worksheets for Class 10 Maths Applications of Trigonometry Assignment 6
• CBSE Worksheets for Class 10 Maths Applications of Trigonometry Assignment 7

CBSE Class 10 Maths Workbook – SA 1 Worksheets

• CBSE Worksheets for Class 10 Maths SA1 Assignment 1
• CBSE Worksheets for Class 10 Maths SA1 Assignment 2
• CBSE Worksheets for Class 10 Maths SA1 Assignment 3
• CBSE Worksheets for Class 10 Maths SA1 Assignment 4
• CBSE Worksheets for Class 10 Maths SA1 Assignment 5
• CBSE Worksheets for Class 10 Maths SA1 Assignment 6
• CBSE Worksheets for Class 10 Maths SA2 Assignment 1
• CBSE Worksheets for Class 10 Maths SA2 Assignment 2
• CBSE Worksheets for Class 10 Maths SA2 Assignment 3
• CBSE Worksheets for Class 10 Maths Assignment 1
• CBSE Worksheets for Class 10 Maths Assignment 2
• CBSE Worksheets for Class 10 Maths Assignment 3
• CBSE Worksheets for Class 10 Maths Assignment 4
• CBSE Worksheets for Class 10 Maths Assignment 5
• CBSE Worksheets for Class 10 Maths Assignment 6

Advantages of CBSE Class 10 Maths Worksheets

• CBSE Worksheets are one of the quality resources which should be practised at the time of revision.
• Solving worksheets will help students to identify their weak concepts which need to be revised further. 
• Class 10 Maths Chapter wise worksheets will be extremely useful in students board exam preparation.
• Helps to boost self-confidence and students do their best to score good marks.
• As students solve a good number of CBSE Class 10 Maths Worksheets Guide will reduce their mistakes and helps to improve in speed and accuracy.

Now that you are provided all the necessary information regarding CBSE NCERT Class 10 Maths Worksheets. Once completing the syllabus, students are advised to solve enough number of worksheets to revise the concepts.  It is recommended to students to solve one worksheet within a stipulated time as this will help progress question-solving speed and accuracy to score good marks. Students can also download CBSE Class 10 Maths Chapter wise question bank pdf and access it anytime, anywhere for free. We hope this detailed article on CBSE Class 10 Maths revision Worksheets are helpful.

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CBSE Expert

CBSE Class 10 Maths Case Study Questions PDF

Download Case Study Questions for Class 10 Mathematics to prepare for the upcoming CBSE Class 10 Final Exam. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 10 so that they can score 100% on Boards.

CBSE Class 10 Mathematics Exam 2024  will have a set of questions based on case studies in the form of MCQs. The CBSE Class 10 Mathematics Question Bank on Case Studies, provided in this article, can be very helpful to understand the new format of questions. Share this link with your friends.

Table of Contents

Chapterwise Case Study Questions for Class 10 Mathematics

Inboard exams, students will find the questions based on assertion and reasoning. Also, there will be a few questions based on case studies. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

The above  Case studies for Class 10 Maths will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 10 Mathematics Case Studies have been developed by experienced teachers of cbseexpert.com for the benefit of Class 10 students.

• Class 10th Science Case Study Questions
• Assertion and Reason Questions of Class 10th Science
• Assertion and Reason Questions of Class 10th Social Science

Class 10 Maths Syllabus 2024

Chapter-1  real numbers.

Starting with an introduction to real numbers, properties of real numbers, Euclid’s division lemma, fundamentals of arithmetic, Euclid’s division algorithm, revisiting irrational numbers, revisiting rational numbers and their decimal expansions followed by a bunch of problems for a thorough and better understanding.

Chapter-2  Polynomials

This chapter is quite important and marks securing topics in the syllabus. As this chapter is repeated almost every year, students find this a very easy and simple subject to understand. Topics like the geometrical meaning of the zeroes of a polynomial, the relationship between zeroes and coefficients of a polynomial, division algorithm for polynomials followed with exercises and solved examples for thorough understanding.

Chapter-3  Pair of Linear Equations in Two Variables

This chapter is very intriguing and the topics covered here are explained very clearly and perfectly using examples and exercises for each topic. Starting with the introduction, pair of linear equations in two variables, graphical method of solution of a pair of linear equations, algebraic methods of solving a pair of linear equations, substitution method, elimination method, cross-multiplication method, equations reducible to a pair of linear equations in two variables, etc are a few topics that are discussed in this chapter.

Chapter-4  Quadratic Equations

The Quadratic Equations chapter is a very important and high priority subject in terms of examination, and securing as well as the problems are very simple and easy. Problems like finding the value of X from a given equation, comparing and solving two equations to find X, Y values, proving the given equation is quadratic or not by knowing the highest power, from the given statement deriving the required quadratic equation, etc are few topics covered in this chapter and also an ample set of problems are provided for better practice purposes.

Chapter-5  Arithmetic Progressions

This chapter is another interesting and simpler topic where the problems here are mostly based on a single formula and the rest are derivations of the original one. Beginning with a basic brief introduction, definitions of arithmetic progressions, nth term of an AP, the sum of first n terms of an AP are a few important and priority topics covered under this chapter. Apart from that, there are many problems and exercises followed with each topic for good understanding.

Chapter-6  Triangles

This chapter Triangle is an interesting and easy chapter and students often like this very much and a securing unit as well. Here beginning with the introduction to triangles followed by other topics like similar figures, the similarity of triangles, criteria for similarity of triangles, areas of similar triangles, Pythagoras theorem, along with a page summary for revision purposes are discussed in this chapter with examples and exercises for practice purposes.

Chapter-7  Coordinate Geometry

Here starting with a general introduction, distance formula, section formula, area of the triangle are a few topics covered in this chapter followed with examples and exercises for better and thorough practice purposes.

Chapter-8  Introduction to Trigonometry

As trigonometry is a very important and vast subject, this topic is divided into two parts where one chapter is Introduction to Trigonometry and another part is Applications of Trigonometry. This Introduction to Trigonometry chapter is started with a general introduction, trigonometric ratios, trigonometric ratios of some specific angles, trigonometric ratios of complementary angles, trigonometric identities, etc are a few important topics covered in this chapter.

Chapter-9  Applications of Trigonometry

This chapter is the continuation of the previous chapter, where the various modeled applications are discussed here with examples and exercises for better understanding. Topics like heights and distances are covered here and at the end, a summary is provided with all the important and frequently used formulas used in this chapter for solving the problems.

Chapter-10  Circle

Beginning with the introduction to circles, tangent to a circle, several tangents from a point on a circle are some of the important topics covered in this chapter. This chapter being practical, there are an ample number of problems and solved examples for better understanding and practice purposes.

Chapter-11  Constructions

This chapter has more practical problems than theory-based definitions. Beginning with a general introduction to constructions, tools used, etc, the topics like division of a line segment, construction of tangents to a circle, and followed with few solved examples that help in solving the exercises provided after each topic.

Chapter-12  Areas related to Circles

This chapter problem is exclusively formula based wherein topics like perimeter and area of a circle- A Review, areas of sector and segment of a circle, areas of combinations of plane figures, and a page summary is provided just as a revision of the topics and formulas covered in the entire chapter and also there are many exercises and solved examples for practice purposes.

Chapter-13  Surface Areas and Volumes

Starting with the introduction, the surface area of a combination of solids, the volume of a combination of solids, conversion of solid from one shape to another, frustum of a cone, etc are to name a few topics explained in detail provided with a set of examples for a better comprehension of the concepts.

Chapter-14  Statistics

In this chapter starting with an introduction, topics like mean of grouped data, mode of grouped data, a median of grouped, graphical representation of cumulative frequency distribution are explained in detail with exercises for practice purposes. This chapter being a simple and easy subject, securing the marks is not difficult for students.

Chapter-15  Probability

Probability is another simple and important chapter in examination point of view and as seeking knowledge purposes as well. Beginning with an introduction to probability, an important topic called A theoretical approach is explained here. Since this chapter is one of the smallest in the syllabus and problems are also quite easy, students often like this chapter

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Arithmetic Progression Class 10 Notes

Cbse class 10 maths arithmetic progression notes:- download pdf here.

Get the complete notes on arithmetic progressions in this article. These notes are useful for the students who are preparing for the CBSE board exams 2023-24. In this article, we will discuss the introduction to Arithmetic Progression (AP), general terms, and various formulas in AP, such as the sum of n terms of an AP, nth term of an AP and so on in detail.

Introduction to AP

Sequences, series and progressions.

• A sequence is a finite or infinite list of numbers following a specific pattern. For example, 1, 2, 3, 4, 5,… is the sequence, an infinite sequence of natural numbers.
• A series is the sum of the elements in the corresponding sequence. For example, 1+2+3+4+5….is the series of natural numbers. Each number in a sequence or a series is called a term.
• A progression is a sequence in which the general term can be can be expressed using a mathematical formula.

For any finite sequence, it is generally represented as a 1 , a 2 , a 3 , ……a n , where 1, 2, 3, …, n represents the position of the term. As the series is represented as the sum of sequences, it is represented as a 1 + a 2 + a 3 + …. + a n .

For any infinite sequence, it is generally represented as a 1 , a 2 , a 3 , a 4 , … and the infinite series is represented as a 1 + a 2 + a 3 + ….

Arithmetic Progression

An arithmetic progression (AP) is a progression in which the difference between two consecutive terms is constant.

In arithmetic progression, the first term is represented by the letter “a”, the last term is represented by “l”, the common difference between two terms is represented by “d”, and the number of terms is represented by the letter “n”.

Thus, the standard form of the arithmetic progression is given by the formula,

a, a + d, a + 2d, a + 3d, a + 4d, ….

Now, consider the infinite arithmetic progression 2, 5, 8, 11, 14….

Here, first term, a = 2

Common difference = 3

Here, the common difference is calculated as follows:

Second term – first term = 5 – 2 = 3

Third term – second term = 8 – 5 = 3

Fourth term – third term = 11 – 8 = 3

Fifth term – fourth term = 14 – 11 = 3

Since the difference between two consecutive terms is constant (i.e., 3), the given progression is an arithmetic progression.

To know more about AP, visit here .

Common Difference

The difference between two consecutive terms in an AP ( which is constant ) is the “ common difference “ (d)  of an A.P. In the progression: 2, 5, 8, 11, 14  …the common difference is 3. As it is the difference between any two consecutive terms, for any A.P, if the common difference is:

•    Positive , the AP is increasing .
•    Zero , the AP is constant .
•   Negative , the A.P is decreasing.

The formula to find the common difference between the two terms is given as:

Common difference, d = (a n – a n-1 )

a n represents the nth term of a sequence

a n-1 represents the previous term. i.e., (n-1) th term of a sequence.

Finite and Infinite AP

• A finite AP is an A.P in which the number of terms is finite. For example the A.P:  2, 5, 8……32, 35, 38 
• An infinite A.P is an A.P in which the number of terms is infinite . For example:  2, 5, 8, 11…..

A finite A.P will have the last term, whereas an infinite A.P won’t.

To know more about Finite and Infinite AP, visit here .

General Term of AP

In Arithmetic progression, a n is called the general term, where n represents the position of the term in the given sequence.

The nth Term of an AP

The nth term of an A.P is given by T n =  a + ( n − 1 ) d , where a is the first term,  d is a common difference and n  is the number of terms.

Finding nth Term:

Determine the tenth term of the arithmetic progression 2, 7, 12, ….

Given Arithmetic sequence: 2, 7, 12, …

Common difference, d = 5

I.e., 7 – 2 = 5 and 12 – 7 = 5.

And now, we have to find the 10th term of AP.

Hence, n = 10

Thus, the formula to find the nth term of AP is a n = a + (n-1)d

Now, substituting the values in the formula, we get

a 10 = 2 + (10 – 1)5

a 10 = 2 + 9(5)

a 10 = 2 + 45

Therefore, 10 th term of the given arithmetic sequence 2, 7, 12, … is 47.

The General Form of an AP

The general form of an A.P is: ( a, a+d,a+2d,a+3d……)  where a is the first term and d is a common difference. Here, d=0, OR d>0, OR d<0

The Sum of Terms in an AP

The formula for the sum to n terms of an ap.

The sum to n terms of an A.P is given by:

S n =  n/2( 2 a + ( n − 1 ) d )

Where a is the first term, d is the common difference and n is the number of terms.

The sum of n terms of an A.P is also given by

S n =  n/2 ( a + l )

Where a is the first term, l is the last term of the A.P. and n is the number of terms.

Finding the Sum of n Terms of an AP:

Determine the sum of the first 22 terms of the Arithmetic Progression 8, 3, -2, ….

Here, the given arithmetic progression is 8, 3, -2, …

So, the first term, a = 8

Common difference, d = -5

3 – 8 = -5

-2 – 3 = -5

And, n = 22.

Therefore, the sum of the first 22 terms of the given AP is -979.

Arithmetic Mean (A.M)

The Arithmetic Mean is the simple average of a given set of numbers. The arithmetic mean of a set of numbers is given by:

A . M =  Sum of terms/Number of terms

The arithmetic mean is defined for any set of numbers. The numbers need not necessarily be in an A.P.

For example, of x, y and z are in Arithmetic progression, then y = (x + z)/2, and we can say that y is the arithmetic mean of x and z.

Basic Adding Patterns in an AP

The sum of two terms that are equidistant from either end of an AP is constant. For example:  in an A.P: 2,5,8,11,14,17… T 1 + T 6 = 2 + 17 = 19 T 2 + T 5 = 5 + 14 = 19 and so on…. Algebraically, this can be represented as

T r + T ( n − r ) + 1 = c o n s t a n t

The Sum of First n Natural Numbers

The sum of first n natural numbers is given by:

S n = n(n+1)/2

This formula is derived by treating the sequence of natural numbers as an A.P where the first term (a) = 1 and the common difference (d) = 1.

Finding the Sum of First n Natural Numbers:

For example, if we want to find the sum of the first 10 natural numbers, we can find it as follows:

Here, n = 10.

Now, substitute the value in the formula,

S n =n(n+1)/2

S 10 = [10 (10+1)]/2

S 10 = [10(11)]/2

S 10 = 110/2

All the formulas related to Arithmetic Progression class 10 are tabulated below:

Practice Questions

• Find the sum: 34 + 32 + 30 + . . . + 10
• How many terms of the AP: 9, 17, 25, . . . must be taken to give a sum of 636?
• Find the sum of the odd numbers between 0 and 50.
• In a school, students thought of planting trees in and around the school to reduce air pollution. It was decided that the number of trees that each section of each class will plant will be the same as the class in which they are studying, e.g., a section of Class I will plant 1 tree, a section of Class II will plant 2 trees and so on till Class XII. There are three sections of each class. How many trees will be planted by the students?

For more information on the Sum of First n Natural Numbers, watch the below video

To know more about the Sum of n terms of AP, visit here .

Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!

Select the correct answer and click on the “Finish” button Check your score and answers at the end of the quiz

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