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CBSE Worksheets for Class 10 Maths
Download free printable worksheets for CBSE Class 10 Maths with important chapter wise questions as per Latest NCERT Syllabus. These Worksheets help Grade 10 students practice Maths Important Questions and exercises on various topics like Coordinate Geometry, Probability, Quadratic Equations, Statistics, Surface Area, Arithmetic Progression, Polynomials, Linear Equation in two Variables, Real Numbers. These free PDF download of Class 10 Maths worksheets consist of visual simulations to help your child visualize concepts being taught and reinforce their learning.
Get free Kendriya Vidyalaya Class 10 Maths Worksheets shared by teachers, parents & students to understand the concepts. All the necessary topics are covered in these 10th grade worksheets. These class 10 Maths worksheets provide skills and experience necessary to ace in Exams
| 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 board exams students can also check out other resource material
CBSE Class 10 Maths Sample Papers
Important Questions for Class 10 Maths Chapter Wise
Worksheets of Other Subjects of Class 10
CBSE Worksheets of Class 10 Science CBSE Worksheets of Class 10 English CBSE Worksheets of Class 10 Social Science CBSE Worksheets of Class 10 Computer Science CBSE Worksheets of Class 10 Hindi CBSE Worksheets of Class 10 Sanskrit CBSE Worksheets of Class 10 FrenchWhy do one Children need Worksheets for Practice ?
It is very old saying that one can build a large building if the foundation is strong and sturdy. This holds true for studies also. Worksheets are essential and help students in the in-depth understanding of fundamental concepts. Practicing solving a lot of worksheets, solving numerous types of questions on each topic holds the key for success. Once basic concepts and fundamentals have been learnt, the next thing is to learn their applications by practicing problems. Practicing the problems helps us immensely to gauge how well we have understood the concepts.
There are times when students just run through any particular topic with casual awareness there by missing out on a few imperative “between the lines” concepts. Such things are the major causes of weak fundamental understandings of students. So in such cases Worksheets act as a boon and critical helpful tool which gauges the in-depth understanding of children highlighting doubts and misconceptions, if any.
Worksheets classifies the important aspects of any topic or chapter taught in the class in a very easy manner and increases the awareness amongst students.When students try to solve a worksheet they get to understand what are the key important factors which needs the main focus.Sometimes it happens that due to shortage of time all the major points of any particular topic gets skipped in the class or teacher rushes through , due to shortage of time. A worksheet thus provides a framework for the entire chapter and can help covering those important aspects which were rushed in the class and ensure that students record and understand all key items.
In a class of its say 40 students howsoever teacher tries to be active and work towards making each student understand whatever she has to teach in the class but there are always some students who tend to be in their own world and they wander in their thoughts.Worksheets which are provided timely to all the students, causes them to focus on the material at hand. it’s simply the difference between passive and active learning. Worksheets of this type can be used to introduce new material, particularly material with many new definitions and terms.
Worksheets help students be focussed and attentive in the class because they know after the class is over they will be assigned a worksheet which they need to solve so if they miss or skip any point in the class they may not be able to solve the worksheet completely and thereby lose reputation in the class.
Often students revise the chapter at home reading their respective textbooks. Thus more often than not they do miss many important points. Worksheets thus can be used intentionally to help guide student’s to consult textbooks. Having students write out responses encourages their engagement with the textbooks, the questions chosen indicate areas on which to focus. Explicitly discussing the worksheets and why particular questions are asked helps students reflect on what is important.