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CBSE Class 10 Maths Revision Notes
Get Here free PDF download of CBSE Class 10 Maths revision notes and short key-notes to score more marks in your exams. These Notes of Mathematics Class 10 make the complicated problems look easy as they are broken into simple steps with a lucid explanation of each step. Handwritten Notes of Mathematics for Class 10 are important to enable students to have a quick recap of the entire syllabus in no time. One can easily revise the precise notes in a day or two. This helps one to recall all he/she has read and practice for the entire year. Once they get the hint, the students are quick to recall the entire material. Study Key Notes or Revision notes helps students in quick revision to recall all that has been learned throughout the year. Notes make this process of recall easy.
| Class 10 Maths Marks Distribution | |
|---|---|
| Units | Marks |
| Number Systems | 06 |
| Algebra | 20 |
| Coordinate Geometry | 06 |
| Geometry | 15 |
| Trigonometry | 12 |
| Mensuration | 10 |
| Statistics & Probability | 11 |
| Internal Assessment | 20 |
| Total | 100 |
CBSE Class 10 Maths Syllabus
- Real Numbers
- Polynomials
- Pair of Linear Equations in Two Variables
- Quadratic Equations
- Arithmetic Progressions
- Triangles
- Coordinate Geometry
- Statistics
- Probability
- Introduction to Trigonometry
- Some Applications of Trigonometry
- Circles
- Constructions
- Area Related to Circles
- Surface Areas and Volumes
UNIT I: NUMBER SYSTEMS
1. REAL NUMBER
Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality.
UNIT II: ALGEBRA
- POLYNOMIALS Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
- PAIR OF LINEAR EQUATIONS IN TWO VARIABLES Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically - by substitution, by elimination. Simple situational problems.
- QUADRATIC EQUATIONS Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.
- ARITHMETIC PROGRESSIONS Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.
UNIT III: COORDINATE GEOMETRY
Coordinate Geometry Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).
UNIT IV: GEOMETRY
- TRIANGLES Definitions, examples, counter examples of similar triangles.
1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3.(Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
4.(Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
5.(Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. - CIRCLES Tangent to a circle at, point of contact
1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
2.(Prove) The lengths of tangents drawn from an external point to a circle are equal.
UNIT V: TRIGONOMETRY
- INTRODUCTION TO TRIGONOMETRY Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0° and 90°. Values of the trigonometric ratios of 30°, 45°, and 60°. Relationships between the ratios.
- TRIGONOMETRIC IDENTITIES Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.
- HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression. (10)Periods Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, and 60°.
UNIT VI: MENSURATION
- AREAS RELATED TO CIRCLES Area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only.
- SURFACE AREAS AND VOLUMES Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.
UNIT VII: STATISTICS AND PROBABILITY
- STATISTICS Mean, median and mode of grouped data (bimodal situation to be avoided).
- PROBABILITY (10) Periods Classical definition of probability. Simple problems on finding the probability of an event.
PRESCRIBED BOOKS:
- Mathematics - Textbook for class IX - NCERT Publication
- Mathematics - Textbook for class X - NCERT Publication
- Guidelines for Mathematics Laboratory in Schools, class IX - CBSE Publication
- Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication
- Laboratory Manual - Mathematics, secondary stage - NCERT Publication
- Mathematics exemplar problems for class IX, NCERT publication.
- Mathematics exemplar problems for class X, NCERT publication.
Structure of CBSE Maths Sample Paper for Class 10 is
| Type of Question | Marks per Question | Total No. of Questions | Total Marks |
|---|---|---|---|
| Objective Type Questions | 1 | 20 | 20 |
| Short Answer Type Questions - I | 2 | 6 | 12 |
| Short Answer Type Questions - II | 3 | 8 | 24 |
| Long Answer Type Questions | 4 | 6 | 24 |
| Total | 40 | 80 | |
For Preparation of exams students can also check out other resource material
CBSE Class 10 Maths Sample Papers
CBSE Class 10 Maths Worksheets
CBSE Class 10 Maths Test Papers
Revision Notes of Other Subjects of Class 10
CBSE Revision Notes of Class 10 Science CBSE Revision Notes of Class 10 English CBSE Revision Notes of Class 10 Social ScienceNumber of students believe that making notes is a troublesome act. But it is a hard known fact that with proper study notes, studying and passing exams becomes easier and that too with good marks. More importantly, it makes learning more interesting and fun.
Why Should Students make Revision Notes?
1. When students make notes, they are forced to understand everything in their own language and words so that you understand things better. Often students tend to blindly read the entire page without giving a chance to understand a single word, but in case they are making notes then, then the brain gets double activated and tries to squeeze meaning out of every single sentence which is very much beneficial for them in the long run. Study notes keep track of all the information they have learned from them. It acts as a ready referral to go through during preparing for exam time.
2. The extra pain of writing notes while studying pays a lot of dividends like saving student’s energy and time during the exam and it becomes an immensely easier way to recall things during exam time when students are already facing shortage of time.
3. When students write notes on paper while studying, it automatically improves memory, allowing the students to study more when studying and reducing the chances of forgetting.
4. When students inculcate the habit of study notes making while studying it increases attention to detail and the focus of the students. And it is a known fact that students who have good focus are more likely to do better in exams.
5. When it comes to learning, it has been observed that study notes do promote a high level of retention. When learning is an important part of tutoring, one of the major necessary end goals is retention. So when a student indulges in notes making , the study notes promotes positive memory as well as the ability to retain information because the mind becomes an active component in studying.
6. Repetition is the key to mastery. A well known fact gets also implied in the case of Making study notes, because when students study then he instantly revises everything while making notes and that stimulates the part of the brain that promotes learning. Like every muscle in the body, the brain can be trained to learn easily in order to absorb new and more information quickly.
7. Making study notes helps in filtration of the relevant and important information. When the student writes study notes while studying, they tend to make the notes by summarising, editing and retaining only the most important information.
8. Making study notes passively increases the likelihood of the students to become more organised. Being organised allows students to prioritise tasks and to finish work on time.