Tips to Prepare for CBSE Class 10 Maths Formula
Tips to Prepare for CBSE Class 10 Maths Formula: The CBSE Class 10 exam is an important part of a student’s school journey. It usually takes place between February and March every year. But for the 2026 session, there are certain changes. Among all subjects, Mathematics is very important because it carries high marks and needs regular practice. The Class 10 Maths exam is of 80 marks and is based completely on the NCERT textbook. The paper includes different types of questions, such as 1 mark, 2 mark, 3 mark, and 4 or 5 mark questions.
However, the same exact questions may not come, but similar types of questions with different numbers usually appear. So, it is necessary to focus on understanding each concept clearly. Regular practice and learning of all formulas of Maths Class 10 help in solving problems quickly and correctly. Check out the article below to get all formulas of maths class 10.
Check Out: CBSE Class 10th Books
CBSE Class 10 Maths Formula
To do well in the CBSE Class 10 Maths exam, it is important to understand and remember all formulas of Maths Class 10. These formulas help you solve problems quickly and correctly in the exam. Regular practice and revision of Maths formulas for Class 10 is crucial. Check out the formulas below:-
|
Chapter |
Topic |
Formulas |
|
1. Real Numbers |
Euclid’s Division Lemma |
a = bq + r, where 0 ≤ r < b |
|
Fundamental Theorem of Arithmetic |
Every composite number can be expressed as a product of primes. |
|
|
LCM × HCF = Product of two numbers |
LCM(a, b) × HCF(a, b) = a × b |
|
|
2. Polynomials |
Relationship between zeroes and coefficients: (i) Quadratic (ii) Cubic |
(i) If ax² + bx + c = 0, then: Sum of zeroes = -b/a Product of zeroes = c/a (ii) For ax³ + bx² + cx + d = 0: Sum = -b/a, Sum of product of roots in pairs = c/a, Product = -d/a |
|
3. Pair of Linear Equations in Two Variables |
General form |
ax + by + c = 0 |
|
Solution by substitution or elimination |
No formula, method-based |
|
|
Consistency |
(i) Unique solution if a₁/a₂ ≠ b₁/b₂ (ii) Infinite solutions if a₁/a₂ = b₁/b₂ = c₁/c₂ (iii) No solution if a₁/a₂ = b₁/b₂ ≠ c₁/c₂ |
|
|
4. Quadratic Equations |
Standard form |
ax² + bx + c = 0 |
|
Quadratic formula |
x = [-b ± √(b² - 4ac)] / 2a |
|
|
Discriminant |
D = b² - 4ac (D > 0: real & distinct, D = 0: real & equal, D < 0: imaginary roots) |
|
|
5. Arithmetic Progressions |
nth term of AP |
aₙ = a + (n – 1) d |
|
Sum of n terms |
Sₙ = n/2 [2a + (n – 1) d] Or Sₙ = n/2 (a + l) |
|
|
6. Triangles |
Basic Proportionality Theorem (BPT) |
`If DE |
|
Pythagoras Theorem |
In ΔABC, if ∠C = 90°, then AB² = AC² + BC² |
|
|
Similar triangles (ratio of sides and areas) |
(i) If triangles are similar, then ratio of areas = (ratio of corresponding sides)² (ii) If ΔABC ∼ ΔPQR, then AB/PQ = BC/QR = AC/PR |
|
|
7. Coordinate Geometry |
Distance formula |
√[(x₂ − x₁)² + (y₂ − y₁)²] |
|
Midpoint formula |
[(x₁ + x₂)/2, (y₁ + y₂)/2] |
|
|
Section formula (internal division) |
[(mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n)] |
|
|
8. Introduction to Trigonometry |
Trigonometric ratios |
sinθ = Perpendicular / Hypotenuse cosθ = Base / Hypotenuse tanθ = Perpendicular / Base cosecθ = 1/sinθ, secθ = 1/cosθ, cotθ = 1/tanθ |
|
Trigonometric identities |
(i) sin²θ + cos²θ = 1 (ii) 1 + tan²θ = sec²θ (iii) 1 + cot²θ = cosec²θ |
|
|
9. Some Applications of Trigonometry |
Height and Distance |
Use trigonometric ratios in right-angled triangle to find height/distance. |
|
10. Circles |
Tangent properties |
(i) A tangent is perpendicular to the radius at point of contact. (ii) Lengths of tangents drawn from an external point to a circle are equal. |
|
11. Constructions |
No formulas |
Involves geometric tools and steps. |
|
12. Areas Related to Circles |
Area of circle |
πr² |
|
Circumference |
2πr |
|
|
Area of sector |
(θ/360) × πr² |
|
|
Length of arc |
(θ/360) × 2πr |
|
|
13. Surface Areas and Volumes |
Cube |
TSA = 6a², Volume = a³ |
|
Cuboid |
TSA = 2(lb + bh + hl), Volume = l × b × h |
|
|
Cylinder |
CSA = 2πrh, TSA = 2πr(r + h), Volume = πr²h |
|
|
Cone |
CSA = πrl, TSA = πr(l + r), Volume = (1/3)πr²h |
|
|
Sphere |
TSA = 4πr², Volume = (4/3)πr³ |
|
|
Hemisphere |
CSA = 2πr², TSA = 3πr², Volume = (2/3)πr³ |
|
|
14. Statistics |
Mean (Grouped data) |
Mean = (Σfᵢxᵢ) / (Σfᵢ) |
|
Mode (Grouped data) |
Mode = l + [(f₁ - f₀) / (2f₁ - f₀ - f₂)] × h |
|
|
Median (Grouped data) |
Median = l + [(n/2 – cf) / f] × h |
|
|
15. Probability |
Probability of an event |
P(E) = (Number of favourable outcomes) / (Total number of outcomes) |
Check Out: CBSE Class 10 Mathematics Made Easy Handwritten Notes For Board Exams
Tips to Prepare for CBSE Class 10 Maths Formula
1. Start with the NCERT Book
Before learning any formula, read the chapter carefully from the NCERT Maths textbook. Pay attention to the introduction, solved examples, and summary at the end of each chapter.
These sections give a clear idea of where and how the formulas are used. CBSE exam questions are mostly based on NCERT, so it's important to study it well.
2. Make a Formula Notebook
Create a separate notebook to write down class 10 maths all formulas chapter-wise. Keep it clean and easy to revise. Writing formulas helps in remembering them better. You can also highlight or colour-code important and frequently used formulas.
3. Understand the Formula Before Memorising
Don’t just try to memorise formulas. First, understand what each symbol in the formula means and how it is used. For example, in the area of a circle, understand what π and r stand for. Understanding helps you apply formulas correctly, even when the numbers change.
4. Practice Questions Using the Formula
Once you’ve learned a formula, solve questions based on it. Start with simple examples from the NCERT book. Try different types of problems that use the same formula. This will train your brain to use the formula in various situations.
5. Move to Advanced-Level Questions
After completing the NCERT questions, you can solve extra questions from reference books like CBSE Class 10 Question Bank or sample papers. These help you apply the class 10 maths formulas to slightly higher-level questions and improve your speed and accuracy.
6. Use Tricks to Remember Formulas
Use short tricks, rhymes, or patterns to memorise all formulas of maths class 10. For example, the identity (a + b)² = a² + 2ab + b² can be remembered as “square of a binomial.” Repeating formulas out loud or teaching them to a friend also helps in remembering.
7. Revise Regularly Before the Exam
Keep revising your formula notebook every few days. During revision, close the book and try writing class 10 maths all formulas from memory. After finishing all chapters, try a full revision of just formulas before practising the final mock papers.
Read More: Important Questions for CBSE Class 10 Maths
CBSE Class 10 Maths Formula FAQs
1. What is the best way to learn all formulas of Maths Class 10?
The best way is to understand the concept behind each formula, write them down in a separate notebook, and regularly practice questions using those formulas.
2. Are Class 10 Maths formulas enough to solve all exam questions?
Yes, most questions in the board exam are based on the Class 10 Maths formulas provided in the NCERT textbook. However, understanding their correct application is important.
3. How can I remember so many formulas easily?
You can remember formulas by grouping them chapter-wise, using simple memory tricks, writing them repeatedly, and revising them often.
4. When will the CBSE Class 10 Maths 2026 exam be held?
The first phase of the CBSE Class 10 Maths exam is expected to be held from February 17, 2026, and the second (improvement) phase will be in May 2026.
5. How many sections are there in the Maths question paper?
There are usually four sections – A, B, C, and D, with increasing difficulty and mark weightage.
