CBSE Class 10 Maths Formulas - Chapter-wise Formulas

The CBSE Class 10th Maths formulas from the wide range of topics, and each chapter has its own set of important formulas. Majorly students need to focus on Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions (AP), Triangles, Coordinate Geometry, Introduction to Trigonometry, Circles.

CBSE Class 10th curriculum 2024 for Math focuses on a diverse range of topics like algebra, geometry, trigonometry, and statistics. This subject emphasizes problem-solving abilities, critical thinking, and applying mathematical concepts to real-world situations.

Table of Contents

• Chapter-wise CBSE class 10th Maths formulas
• Class 10th Maths term-wise marks distribution
• Tips and tricks to remember maths formulas for class 10th

Chapter-wise CBSE Class 10th Maths Formulas

To solve these chapters of class 10th maths, students must learn the formulas as these are the chapters that cannot be solved without knowing the formulas, so before you start practising these chapters, make sure you are aware of all the formulas for class 10th maths. The chapters are as follows:

• Arithmetic Progression
• Pair of Linear Equation in Two Variables
• Trigonometry
• Algebra and Quadratic Equation
• Circle
• Surface Area and Volume 
• Statistics 

Read More: New Guidelines for CBSE Class 10

Arithmetic Progression

These formulas will help students solve all the Arithmetic Progression questions. The chapter "Arithmetic progression" is a very scoring topic. If you are thorough with these formulas and practise them, you can score good marks.

The formula to calculate the nth term of AP is given as:

nth term = a+(n-1)d

The sum for the nth term of AP where a is the 1st term, d is a common difference, and l is the last term is given as:

Sn = n/2 [2a + (n-1) d] or Sn = n/2 [a + l]

Read More: CBSE Class 10 Math Deleted Syllabus

Linear Equations

The linear equations have tremendous applications in various fields and assist in problem-solving. These formulas that will help students solve all the linear equation questions. These formulas will help you solve those questions effectively.

Linear Equation in one Variable	ax + b=0	Where a ≠ 0 and a & b are real numbers
Linear Equation in Two Variables	ax + by + c = 0	Where a ≠ 0 & b ≠ 0 and a, b & c are real numbers
Linear Equation in Three Variables	ax + by + cz + d = 0	Where a ≠ 0, b ≠ 0, c ≠ 0 and a, b, c, d are real numbers

When two variables are given:

a1x+b1+c1=0 and a2x+b2+c2=0
Where a1, b1, c1, & a2, b2, c2 are real numbers & a12+b12 ≠ 0 & a22 + b22 ≠ 0

Read More: CBSE Class 10 Maths Important Questions

Trigonometry

These formulas will help students solve all the trigonometry questions. Students are terrified of this topic, but you won't find trigonometry that difficult if you are thorough with these formulas. To score good marks, students must remember these formulas.

Read More: CBSE Class 10 Maths Paper Analysis

Angle	0°	30°	45°	60°	90°
sinθ	0	1/2	1/√2	√3/2	1
cosθ	1	√3/2	1/√2	½	0
tanθ	0	1/√3	1	√3	Undefined
cotθ	Undefined	√3	1	1/√3	0
secθ	1	2/√3	√2	2	Undefined
cosecθ	Undefined	2	√2	2/√3	1

Additional trigonometric formulas:

• sin (90° – θ) = cos θ

• cos (90° – θ) = sin θ

• tan (90° – θ) = cot θ

• cot (90° – θ) = tan θ

• sec (90° – θ) = cosecθ

• cosec (90° – θ) = secθ

• sin^2 θ + cos^2 θ = 1

• sec^2 θ = 1 + tan^2 θ for 0° ≤ θ < 90°

• Cosec^2 θ = 1 + cot^2 θ for 0° ≤ θ ≤ 90°

Read More: CBSE Class 10 Maths Sample Papers

Algebra & Quadratic Equations

These formulas will help students solve all of the Algebra & Quadratic Equations questions. The formulas may seem a little lengthy, but once you are through them, you will quickly learn them, you will be able to score good marks in this chapter.

1. (a+b)2 = a2 + b2 + 2ab
2. (a-b)2 = a2 + b2 – 2ab
3. (a+b) (a-b) = a2 – b2
4. (x + a)(x + b) = x2 + (a + b)x + ab
5. (x + a)(x – b) = x2 + (a – b)x – ab
6. (a + b)3 = a3 + b3 + 3ab(a + b)
7. (a – b)3 = a3 – b3 – 3ab(a – b)
8. (x – a)(x + b) = x2 + (b – a)x – ab
9. (x – a)(x – b) = x2 – (a + b)x + ab
10. (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz
11. (x + y – z)2 = x2 + y2 + z2 + 2xy – 2yz – 2xz
12. (x – y + z)2 = x2 + y2 + z2 – 2xy – 2yz + 2xz
13. (x – y – z)2 = x2 + y2 + z2 – 2xy + 2yz – 2xz
14. x3 + y3 + z3 – 3xyz = (x + y + z)(x2 + y2 + z2 – xy – yz -xz)
15. x2 + y2 =½ [(x + y)2 + (x – y)2]
16. (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc
17. x3 + y3= (x + y) (x2 – xy + y2)
18. x3 – y3 = (x – y) (x2 + xy + y2)
19. x2 + y2 + z2 -xy – yz – zx = ½ [(x-y)2 + (y-z)2 + (z-x)2]

Read More: CBSE Exam Pattern for Class 10 & 12

Circle

These formulas will help students solve all the circle questions. The "Circle" is a chapter where you have to measure the dimensions according to the question. These formulas will help you solve the problems quickly.

• Circumference of the circle = 2 π r
  
• Area of the circle = π r2
  
• Area of the sector of angle θ = (θ/360) × π r2
  
• Length of an arc of a sector of angle θ = (θ/360) × 2 π r
  

Surface Area & Volume

These formulas will help students solve all of the Surface area & Volume questions. Like circles, these formulas will help you calculate different shapes according to the questions.

Read More: CBSE Class 10 Blueprint 2024

Statistics

These are the formulas that will help students solve all the statistics questions. Statistics are all about formulas. Once you are thorough with the formulas, you will be able to solve every problem quickly.

Download All The Maths Formulas For Class 10th

Term-wise CBSE Class 10th Maths Marks Distribution

Candidates must remember that only Number systems and Coordinate geometry will not be included in the term-2 syllabus. All the other units will be included in the term-1 and term-2 syllabus. As you prepare for your class 10th maths exam, allot your time according to the marks distribution of each unit as it will be easier for you to assign time to each unit effectively. To make your job easier, we have provided the term-wise marks distribution of each unit in the following table.

Term I

In the following table students can find the distribution of marks along with the units included in the Maths class 10th term-I syllabus:

Unit	Unit Name	Marks
I	Number Systems	06
II	Algebra	10
III	Coordinate Geometry	06
IV	Geometry	06
V	Trigonometry	05
VI	Mensuration	04
VII	Statistics and Probability	03
Total		40

Read More: CBSE Class 10 Subject Codes

Term II

The Maths class 10th term-II marks distribution is given below according to the units included in the Term-II curriculum.

Unit	Unit Name	Marks
II	Algebra	10
IV	Geometry	09
V	Trigonometry	07
VI	Mensuration	06
VII	Statistics and Probability	08
Total		40

Tips to Remember Maths Formulas for Class 10th

Maths formulas are easy to learn if students follow these tips and tricks. In addition, these formulas will help students to score good marks in their exams. Some of the tips and tricks are:

• Get familiar with the formulas before solving the problems, which will help you understand the topic better.
• Practice regularly. The more you practice, the more you will go through the formulas, which will help you remember the formulas effectively.
• Get rid of all the distractions while memorising the formulas.
• Write the formulas now and then without looking at the resources.

Read More: CBSE Class 10 Question Bank

Note:

Maths is a subject that often stresses students. Maths is a little tricky, but it is not difficult. To make it easier for you, we have brought all the formulas you need to answer maths questions for class 10th. You have to be thorough with the concepts and practice regularly, and there you go, you will be prepared to score good marks in Maths. To help you with all-important formulas, we have brought together chapter-wise Maths formulas for class 10th.