The Central Board of Secondary Education (CBSE) conducts the Class 10 examination every year. The CBSE Syllabus for Class 10 maths is necessary for understanding the structure of the course curriculum. The syllabus on the subject of Mathematics primarily aims at enhancing the capacity of students to employ Mathematics in solving day-to-day life problems and studying the subject as a separate discipline. The proposed curriculum includes the study of number systems, algebra, geometry, trigonometry, mensuration, statistics, graphs and coordinate geometry, etc.
CBSE 10th Maths Syllabus Term – 1 & 2 Academic Year 2023-24
Students can access CBSE Class 10 Maths syllabus on this page. Discussing the syllabus will help students understand the course easily. It specifies the grading and time limit for each section as well. It gives the details of how many marks are decided for each unit. So, students can plan accordingly to focus more on the important areas of the subject. The syllabus for Mathematics in CBSE Class 10 has been divided into two terms: Term 1 and Term 2. You can find the PDF version of the mathematics Class 10 syllabus given below:
CBSE Class 10 Syllabus
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- CBSE Class 10 Maths Syllabus
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How to prepare for the Class 10 Maths Board Examinations?
Mathematics is considered to be the foundation of many competitive examinations like JEE and NEET. Students who are going to appear for the board examination for CBSE Class 10 must be well prepared with the major concepts, theorems and formulas to achieve good scores in their final examinations. Well, it is often said that Mathematics is all about practice but there are many other tips you can follow for excelling in the Class 10 mathematics board examinations. Some of them are as follows:
- Understanding the Contents in Chapter – To start with, students must go through the entire table of contents present in their Mathematics syllabus. With every chapter present in it, students must understand all the concepts that are related to it. Concepts like trigonometry, algebra and geometry are considered to be some of the most important concepts that are taught in Class 10.
- Understanding the Weightage – There is always a discussion among the students as well as the teachers regarding a few important chapters that play a huge role in the final CBSE examinations. By solving past years’ question papers, the students are able to understand the system of weightage of marks present in every chapter. Try to focus more on the chapters that carry more weightage. It is recommended to cover and practice all chapters, but focusing more on the ones that consist more marks will be a bonus for all students.
- Organize a Timetable for Study – For an ideal preparation for Class 10 Mathematics, it is important that the students chart out a strategy that they follow religiously. Organising a well planned and properly structured study timetable can be beneficial to the students. In order to understand the core fundamentals fast, the students should stick to the study schedule and follow it religiously to come out with flying colours.
- Check out Reference and NCERT Books – NCERT Books are considered to be the most important reference point as most of the problems in question papers are from these books. Students appearing for the CBSE Class 10 final Mathematics examination must solve as many problems given in NCERT Books as possible to understand the concepts and clear any doubts and confusion. The NCERT solutions present in the book can guide the students in the most ideal way.
- Taking Note Of Important Questions – The CBSE Important Question set along with the CBSE Revision Notes are extremely important for every student. These will help the students to be aware of all the possible types of questions that may be asked in the final examination.
Class 10 CBSE Maths Syllabus
We have provided detailed information regarding the units and sub-topics on our website which will help the students plan their time accordingly for practicing. The details have been mentioned below:
Unit 1: Number Systems
- Real Number (15 Periods) – After examining past work and after illuminating and inspiring through examples, Euclid’s division lemma, the Fundamental Theorem of Arithmetic, Proofs of the irrationality of the representation of rational numbers in decimal form in terms of terminating or non-terminating repeating decimals.
Unit 2: Algebra
- Polynomials (7 Periods) – Definition of a polynomial in one variable, with examples and counterexamples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Zeros and quadratic polynomial coefficients are related. Statement and straightforward issues with the polynomials with real coefficients division procedure.
- Pair of Linear Equations In Two Variables (15 Periods) – A pair of two-variable linear equations with a graphic representation of their consistency/inconsistency. Algebraic requirements for the number of solutions. Two linear equations in two variables are solved algebraically using the cross multiplication, substitution and elimination methods. Situational issues that are easy. Simple equations issues that can be reduced to linear equations.
- Quadratic Equations (15 Periods) – Quadratic equation in standard form: ax2 + bx + c = 0, (a ≠ 0). Quadratic equations can be solved by factoring and using the quadratic formula, but only for real roots. Relationship between the root’s nature and the discriminant. Situational quadratic equation-based issues pertaining to daily activities should be included.
- Arithmetic Progressions (8 Periods) – Driving force behind studying arithmetic progression Application of the nth term and the sum of the first n terms of A.P. in solving problems of daily life.
Unit 3: Coordinate Geometry
- Lines (In Two-Dimensions) (14 Periods) – Coordinate geometry ideas and graphs of linear equations. Distance formula. The formula in Section (internal division). Dimensions of a triangle.
Unit 4: Geometry
- Triangles (15 Periods) – Definitions, illustrations, and contrast illustrations of related triangles.
- The other two sides of a triangle are divided in the same ratio if a line drawn parallel to one side of a triangle intersects the other two sides in clearly defined points.
- A line is parallel to the third side of a triangle of it divides the first two sides of the triangle in the same ratio.
- If two triangles’ corresponding angles and sides are equal and proportional to one another, the triangles are similar.
- If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
- Two triangles are similar if their angles are equal to each other and the sides that include these angles are proportional.
- The triangles on either side of a perpendicular drawn from the right angle vertex of a right triangle to its hypotenuse are similar to the triangle as a whole and to one another.
- The ratio of the squares of the corresponding sides of two similar triangles is equal to the ratio of the areas of the triangles.
- The square on the hypotenuse of a right triangle equals the sum of the squares on the other two sides.
- The angle opposite the first side of a triangle is a right angle if the square on one side equals the sum of the squares on the other two sides.
- Circles (8 Periods) – At the point of contact, tangent to a circle.
- The radius through the point of contact is perpendicular to the tangent at any point on a circle.
- Tangents drawn from an outside point to a circle have equal lengths.
- The Theorem of the Alternate Segments: If a chord is drawn through the intersection of a circle and a tangent, the angles the chord makes with the tangent are equal to the angles the chord subtends in the alternate segments.
- Constructions (8 Periods) -:
- Splitting a line segment into a specified ratio (internally).
- Directional tangents from a point outside a circle.
- Building a triangle that is similar to a given triangle.
Unit 5: Trigonometry
- Introduction To Trigonometry (10 Periods) – The acute angle trigonometric ratios of a right angled triangle. The ratios that are defined at 0o and 90o should be motivated as evidence of their existence (clearly defined). Values for the 300, 450 and 600 trigonometric ratios. Ratios and their relationships.
- Trigonometric Identities (15 Periods) – Applications of the identity sin2A + cos2A = 1 and evidenced for it. To be given are only simple identities. Complementary angle trigonometric ratios.
- Heights and Distances: Angle of Elevation, Angle of Depression (8 Periods) – Simple height and distance calculations. There shouldn’t be more than two right triangles in a problem. Only 30°, 45° and 60° should be used as elevation/depression angles.
Unit 6: Mensuration
- Areas Related To Circles (12 Periods) – Motivate the circle’s area, as well as the areas of its sectors and segments.
- Surface Areas And Volumes (12 Periods):
- Combinations of the surfaces and volumes of cubes, cuboids, spheres, hemispheres and right circular cylinder/cones. A cone’s frustum.
- Converting one type of metallic solid into another problem, as well as other mixed problems.
Unit 7: Statistics and Probability
- Statistics (18 Periods) – Data grouping average, median and mode (bimodal situation to be avoided). Graph of cumulative frequency.
- Probability (10 Periods) – Probability as it is typically understood. Simple issues with calculating an event’s probability.
CBSE Class 10 Maths Term 1 Syllabus
The syllabus for the CBSE Class 10 mathematics gets conducted in two terms. The below-mentioned table displays all the details of the syllabus for Term 1.
NO. |
UNIT NAME |
MARKS |
I |
NUMBER SYSTEMS |
6 |
II |
ALGEBRA |
10 |
III |
COORDINATE GEOMETRY |
6 |
IV |
GEOMETRY |
6 |
V |
TRIGONOMETRY |
5 |
VI |
MENSURATION |
4 |
VII |
STATISTICS & PROBABILITY |
3 |
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Total |
40 |
|
INTERNAL ASSESSMENT |
10 |
|
TOTAL |
50 |
Internal Assessment for CBSE Class 10 Maths Term 1
The internal assessment for Class 10 mathematics is as important as the external exams. Students get a good opportunity to score a maximum of 10 marks in their internals. Here is a breakdown of the internal assessment details.
INTERNAL ASSESSMENT |
MARKS |
Periodic Tests |
3 |
Multiple Assessments |
2 |
Portfolio |
2 |
Student Enrichment Activities-Practical work |
3 |
TOTAL MARKS |
10 |
CBSE Class 10 Maths Term 2 Syllabus
Coming to Term 2, here is a detailed breakdown of the syllabus for CBSE Class 10 mathematics.
NO. |
UNIT NAME |
MARKS |
I |
ALGEBRA (Cont.) |
10 |
II |
GEOMETRY (Cont.) |
9 |
III |
TRIGONOMETRY |
7 |
IV |
MENSURATION (Cont.) |
6 |
V |
STATISTICS & PROBABILITY (Cont.) |
8 |
|
Total |
40 |
|
INTERNAL ASSESSMENT |
10 |
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TOTAL |
50 |
Internal Assessment for CBSE Class 10 Maths Term 2
The internal assessment structure for the Term 2 of CBSE Class 10 mathematics is as follows:
INTERNAL ASSESSMENT |
MARKS |
Periodic Tests |
3 |
Multiple Assessments |
2 |
Portfolio |
2 |
Student Enrichment Activities-Practical Work |
3 |
TOTAL MARKS |
10 |
How can Extramarks help Students in their Exam Preparation by providing maths syllabus for class 10 CBSE 2023-24?
The Class 10 board examination is the first step toward competitive examinations that students take in their lives. It is advised by the school teachers to prepare thoroughly for all the subjects but there are many important aspects related specifically to Mathematics. Mathematics is a subject that is very important for future studies. From choosing the desired field and stream of higher education to landing your dream job, a good score in mathematics will always be a requirement. Extramarks will be your guide, and will provide you with all the necessary material including the CBSE Class 10 mathematics syllabus along with CBSE Past Years’ Question Papers to let students practice and prepare accordingly. The Extramarks’ website is very user-friendly which is very beneficial to the students. Other than going through the CBSE Syllabus, Extramarks also recommends solving the CBSE Sample Papers and CBSE Extra Questions given on the website for a proper understanding. If the students solve the sample papers given on the website, they will be able to understand how to divide time and which questions will need more time as compared to others. They can improve their time management as well as speed and accuracy.