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Complete List of Class 10 Maths Formulas (Chapterwise)

Complete List of Class 10 Maths Formulas (Chapterwise)

Download Maths Formulas for Class 10 PDF Free (English & Hindi)

The concept of Maths Formulas for Class 10 is essential in mathematics and helps in solving real-world and exam-level problems efficiently. Whether you are a CBSE, ICSE, or State Board student, knowing these formulas is key for board exam success and quick revision. Downloadable PDFs, formula sheets, solved examples, and concise tables make mastering Class 10 Maths formulas easier for all students.

Understanding Maths Formulas for Class 10

A Maths Formula for Class 10 refers to a standard equation or expression used to solve maths problems typically covered in class 10 syllabus. This concept is widely used in algebra, geometry, trigonometry, arithmetic, and statistics. By learning and practicing these formulas, students can efficiently answer a variety of exam questions and enhance calculation speed.

Class 10 Maths Formulas List (All Chapters)

Here’s a helpful table of all important Maths Formulas for Class 10 chapters. Use this for quick formula revision and keep it handy during board exam preparation.

Class 10 Maths Formulas Table

Chapter	Key Formulas
Polynomials	(a + b)² = a² + 2ab + b² (a - b)² = a² - 2ab + b² (a + b)(a - b) = a² - b²
Quadratic Equations	ax² + bx + c = 0 ⇒ x = [-b ± √(b² - 4ac)] / 2a
Arithmetic Progression (AP)	n-th term, a_n = a + (n − 1)d Sum, S_n = n/2 [2a + (n − 1)d]
Trigonometry	sin²θ + cos²θ = 1 tan θ = sin θ / cos θ sin(90° − θ) = cos θ
Circles	Circumference = 2πr Area = πr²
Surface Area & Volume	Volume of Sphere = (4/3)πr³ Surface Area of Sphere = 4πr² Volume of Cylinder = πr²h
Coordinate Geometry	Distance = √[(x₂ − x₁)² + (y₂ − y₁)²] Section Formula: ((mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n))
Statistics	Mean for grouped data = l + ((n/2 – cf)/f) × h
Probability	P(E) = (Number of favourable outcomes) / (Total outcomes)

This table covers all essential Class 10 Maths Formulas needed for CBSE, ICSE, and State Board exams.

Download Class 10 Maths Formulas PDF

Access free, board-wise and chapterwise formula sheets here for efficient last-minute revision:

Class 10 Maths Formulas in Hindi
Class 10 Maths Formulas PDF (English, All Boards)

You may save and download these PDFs on your mobile device for anytime, offline study.

Step-by-Step Solved Example

Let’s see how to use a quadratic equation formula for a board exam problem:

1. Given: Solve 2x² − 7x + 3 = 0.

2. Compare with ax² + bx + c = 0: Here, a = 2, b = −7, c = 3.

3. Apply the formula:

x = [−b ± √(b² − 4ac)] / 2a
= [7 ± √((−7)² − 4×2×3)] / 4
= [7 ± √(49 − 24)] / 4
= [7 ± √25] / 4
= [7 ± 5] / 4

4. Find the two solutions:

x = (7 + 5)/4 = 12/4 = 3
x = (7 − 5)/4 = 2/4 = 0.5

So, the solutions to the equation are x = 3 and x = 0.5.

Practice Problems

Find the sum of first 20 terms in an arithmetic progression where a = 2, d = 5.
Solve x² − 9x + 14 = 0 using the quadratic formula.
Calculate the surface area of a sphere with radius 7 cm.
Given points A(2,3) and B(6,7), find the distance between A and B.

Common Mistakes to Avoid

Mixing up formulas from different chapters, especially in geometry and algebra.
Missing brackets or incorrect order of operations (BODMAS mistakes).
Forgetting to check units in surface area and volume problems.

Tips to Memorize and Revise Maths Formulas

Write formulas repeatedly to reinforce memory.
Group similar formulas by chapter for easier recall.
Use visuals, color flashcards or mind maps.
Practice application of formulas with as many actual board-level questions as possible.
Revise daily from the formula PDF – short, frequent revision works best.

Real-World Applications

Class 10 Maths Formulas are used in finance, construction, science, coding, architecture, statistics, and many other fields. For example, AP formulas are used in interest calculations; trigonometric ratios help in structural design. Vedantu encourages connecting these formulas to real-life scenarios for deeper understanding.

Extra Resources and Internal Links

Explore connected Physics concepts for a broader base in Science and Mathematics:

We explored the idea of Maths Formulas for Class 10, how to apply them, and how they relate to your board exam success. For deeper revision and additional examples, use downloadable resources from Vedantu and build your confidence for the Class 10 Maths board exam.

FAQs on Complete List of Class 10 Maths Formulas (Chapterwise)

1. What are the important maths formulas for class 10?

Class 10 maths formulas encompass key equations from various chapters like Algebra, Geometry, Trigonometry, and Arithmetic. These formulas are essential for solving problems in your board exams. They include equations for quadratic equations, linear equations, theorems related to circles and triangles, trigonometric identities, and more. Mastering these formulas is crucial for success.

2. Where can I find a free PDF download of all chapter Maths formulas for Class 10?

Many websites offer free downloadable PDFs of Class 10 maths formulas. Look for resources that provide chapter-wise breakdowns and include solved examples for better understanding. Ensure the PDF is up-to-date and aligns with your board's syllabus (CBSE, ICSE, State Board, etc.). A well-structured PDF will significantly aid your exam preparation.

3. Are these Class 10 maths formulas applicable to all boards (CBSE, ICSE, State)?

Most fundamental Class 10 maths formulas are common across all major boards like CBSE, ICSE, and various state boards. However, there might be slight variations in the emphasis on specific topics or the inclusion of certain advanced formulas. Always refer to your specific board's syllabus to ensure complete coverage.

4. How can I effectively memorize all the important Class 10 maths formulas for my board exams?

Effective memorization involves understanding, not just rote learning. Start by understanding the derivation and application of each formula. Create flashcards or use spaced repetition techniques. Practice solving problems regularly, applying formulas in different contexts. Regular revision, especially closer to exams, is key. Consider making your own concise formula sheets.

5. Are there any maths formula sheets and practice worksheets available for Class 10?

Yes, numerous resources provide Class 10 maths formula sheets and practice worksheets. These worksheets often include solved examples and questions that test your understanding of the formulas. Using these resources can significantly improve your problem-solving skills and exam preparation. Look for worksheets tailored to your specific board's syllabus.

6. What are the most important formulas in Class 10 Maths for board exams?

The "most important" formulas depend on your board and specific chapters. However, generally, quadratic formula, trigonometric identities (sin²θ + cos²θ = 1, etc.), area and volume formulas for geometrical shapes, and formulas for arithmetic and geometric progressions are usually considered crucial. Review your syllabus for a precise list.

7. How do I use these formulas to solve problems effectively?

Effective problem-solving involves identifying the correct formula based on the given information. Understand the variables and their units. Substitute values accurately and follow the order of operations. Practice regularly with various problems to build confidence and fluency in applying the formulas. Review solved examples to learn strategies.

8. Can I find Class 10 maths formulas in Hindi?

Yes, many resources provide Class 10 maths formulas in Hindi. Bilingual resources can be extremely helpful for students who prefer learning in their native language or need additional support. Look for websites and PDFs that offer both English and Hindi versions of the formulas and explanations.

9. What are some tips to score high marks in Class 10 maths board exams?

To score high marks: Master the fundamental concepts and formulas. Practice consistently with a range of problems, including past papers. Understand the marking scheme and time management techniques. Seek clarification on any doubts promptly. Focus on accuracy and neat presentation of your work. Revision and self-assessment are crucial.

10. Are there any online resources besides PDFs to help me learn Class 10 maths formulas?

Yes, several online resources go beyond simple PDFs. Interactive websites and apps offer quizzes, video tutorials, and simulations to aid in understanding and memorizing formulas. These resources often provide visual aids, making learning more engaging and effective. Explore various platforms to find the learning style that suits you best.

11. How do I differentiate between similar-sounding formulas in Class 10 Maths?

To avoid confusion, focus on understanding the underlying concepts and the context in which each formula is applied. Create your own comparison tables to highlight the key differences between similar formulas. Practice solving problems involving both similar formulas to solidify your understanding of their unique applications.