
Class 10 Maths Formula Sheet PDF
Real Numbers

🔷 What is a Real Number?
A real number is any number that can be placed on the number line. It includes all rational and irrational numbers.
Classification of Real Numbers
1. Natural Numbers (N)
- Counting numbers: N={1,2,3,4,…}
2. Whole Numbers (W)
- Natural numbers + 0: W={0,1,2,3,…}
3. Integers (Z)
- Positive and negative whole numbers: Z={…,−3,−2,−1,0,1,2,3,…}
4. Rational Numbers (Q) :

5. Irrational Numbers (Q’):

Important Class 10 Formulas and Properties

1. Laws of Exponents for Real Numbers

2. Surds and Radicals :

3. Decimal Representation

4. Important Properties
- Between any two real numbers, there are infinite real numbers.
- Irrational + Rational = Irrational (usually)
- Square roots of non-perfect squares are irrational.
Real Number formula sheet pdf

Conclusion
In this chapter, we learned about the different types of real numbers, including rational and irrational numbers. We also practiced simplifying surds, using laws of exponents, and applying Euclid’s Division Algorithm to find the HCF of two numbers. These concepts are important not only for exams but also for understanding higher-level math. Make sure you revise all key formulas and practice different types of questions to strengthen your understanding of real numbers.
FAQs – Best Class 10 Maths Formula Sheet PDF
❓1. What is included in the Class 10 Maths Formula Sheet PDF?
✅ The formula sheet includes all important formulas from Class 10 Maths chapters such as:
- Real Numbers
- Polynomials
- Linear Equations
- Quadratic Equations
- Arithmetic Progressions
- Triangles
- Circles
- Coordinate Geometry
- Trigonometry
- Statistics and Probability
- Surface Areas and Volumes
❓2. Is the formula sheet useful for CBSE, ICSE, or State Boards?
✅ Yes, the formula sheet is designed to be board-neutral, meaning it covers formulas required for CBSE, ICSE, and most State Boards.
❓3. Can I use this formula sheet for board exam revision?
✅ Absolutely! It’s perfect for quick revision before exams, solving sample papers, or preparing for pre-boards and unit tests.
❓4. Is this PDF free to download and print?
✅ Yes, the formula sheet PDF is free for students and teachers. You can download, save, or print it for easy offline study.
❓5. Does the formula sheet include solved examples?
📌 The standard formula sheet includes only formulas. However, you can request a Formula + Solved Examples PDF if you want additional practice.
❓6. How can I get the best use out of the formula sheet?
✅ Tips for using the sheet effectively:
- Stick it on your study wall for daily review
- Use it while solving practice questions
- Highlight tricky formulas for quick memory recall
- Revise it before every maths test or exam