Download Latest CBSE Class 10 Maths Sample Papers - 2020

If you are looking for Class 10 Mathematics model papers, periodic test papers, Important Questions, MCQ Questions, Sample Papers, Study Notes, Hot Questions, Worksheets, Class Assignments, Practice Exercises, Word Problems, Previous Year question papers, Solved papers, Unit tests and other related study material for exam preparation then you are at the right place.

Total Papers : 250

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Total Papers : 250

Worksheets of Class 10

CBSE Worksheets for Class 10 Mathematics contains all the important questions on Mathematics as per NCERT syllabus. These Worksheets for Class 10 Mathematics or 10th grade Mathematics worksheets help students to practice, improve knowledge as they are an effective tool in understanding the subject in totality. Also Multiple Choice Questions based Worksheets help students in learning in depth concepts while out of the class.

Worksheets of Class 10 Mathematics

Question bank of Class 10

On Ribblu one can get immense collections of CBSE Question Bank for Class 10 Mathematics which includes important questions 10th Class Chapter wise as per NCERT syllabus. Students while preparing for final exams must practice all the important questions of 10th grade Mathematics. All these Important Questions chapter wise have been uploaded by various registered users.

Question bank of Class 10 Mathematics

Sample Papers of Class 10

By Solving CBSE Sample Papers for Class 10 Mathematics, immensely helps students in preparing for the final exams. These Class 10 sample papers and 10th grade sample question papers are prepared in accordance with the latest syllabus and guidelines that are issued by the central board. If one wants to have a clear idea of how the final exam papers would be in terms of level of difficulty, time and other aspects then, all students must make sure that they do sample papers once their course revision is finished.

Sample Papers of Class 10 Mathematics

Revision Notes of Class 10

CBSE Revision Notes For Class 10 Mathematics are very important for quick revision to recall all that has been learned throughout the year. On Ribblu.com one can find Study Key Notes or Revision notes for all subjects of 10th Class STD and which includes Mathematics as per CBSE and NCERT syllabus. Notes make this process of recall easy. One can easily revise the precise notes in a day or two. Once they get the hint, the students are quick to recall the entire material.

Revision Notes of Class 10 Mathematics

Question Papers of Class 10

If you are looking for CBSE Question Papers for Class 10 Mathematics then you are at the right place. On Ribblu you will find Class 10 Mathematics Question Papers, 10th class previous year board question papers and MCQs Paper for Class 10 Mathematics, as per NCERT Syllabus. Solving them gives students the clear idea of how the final exam papers would be in terms of level of difficulty, time and other aspects, so all students must attempt as many Mathematics Question Papers as possible once their course revision is finished so as to get the best score in final exams

Question Papers of Class 10 Mathematics

Test Papers of Class 10

CBSE Test Papers from Class 10 Mathematics are very important for exam preparations. Students need to practice these practice test papers of class 10th and periodic and assessment unit tests of grade 10th while preparing for final exams. Practicing these Test Papers will enable students to identify important topics of chapters for preparing final exams. As per CBSE Guidelines schools need to conduct weekly tests and periodic tests. So these Previous Class Test papers, periodic and Unit Test Papers of Mathematics gives students the clear idea of what are the important aspects in a particular topic and thereby increase their fundamental concepts and knowledge and prepare them for Final Exams.

Test Papers of Class 10 Mathematics

Supplementary Helping Aids For CBSE Exams Preparation.

Indian Education system primarily consists of two parts one being studying the subjects and the other one is appearing for exams and tests. All these exams are conducted by schools for various classes to gauge how much the students have understood , learned and what is their capability score in any particular subject. But sometimes even after understanding the topics fully there are chances the students don’t do well in exams because of lack of preparation from the examination perspective. The reason being that one needs to prepare for exams in a particular way and for that previous question papers, sample papers, worksheets and unit test papers play a major role.

The important factors in performing well in the exams, apart from, studying day & night, grasping everything and retaining everything, is, to be able to study smart and in a proper disciplined manner, so that all the efforts translate into performance.

When preparing for your exams every expert recommends that students should invest more time and effort into solving question papers and worksheets from previous year

This practice not only will familiarise the students with the format of the question paper, it will also teach them the discipline of answering the entire question paper within the time allotted to you at the examination. The more one solves these, the more confidence will be gained towards achievement of highest score. Often it happens that in the exams the children know the solution of every question but due to lack of time they miss some portions. So it is imperative to practice before hand so that everything is attempted on time in main exams

Class 10 Mathematics Term Wise Syllabus

Number Systems (6 Marks)

Algebra (20 Marks)

Coordinate Geometry (6 Marks)

Geometry (15 Marks)

Trigonometry (12 Marks)

Mensuration (10 Marks)

Statistics & Probability (11 Marks)

Term I

Chapter 1 : Real Numbers

Euclid’s division lemma, Fundamental Theorem of Arithmetic — statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of 12, /3, 15. Decimal representation of rational numbers in terms of terminating / non-terminating recurring decimals.

Chapter 2 : Polynomials

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients. Also covered topics include Polynomial of nth Degree, HCF of polynomial , methods of finding HCF and LCM of polynomials, Relation among LCM and HCF of the production of polynomial, Rational Expressions in lowest terns, addition and subtraction of rational expressions, multiplication of rational expressions, division of rational expressions.

Chapter 3: Coordinate Geometry

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane.

Chapter 3: 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. Solutions of a pair of linear equations in two variables algebraically — by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations.Also covered advance topics include Transposition, simultaneous linear equations, elimination by cancellation, elimination by substitution, adding two equations and subtracting one equation from the other, cross multiplication method, graphical method, nature of solutions, word problems and applications of simultaneous equations

Chapter 4: 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. Advance topics include roots of equation, finding the roots by factorisation, finding the roots by using the formula , sum and products of roots of a quadratic equation, nature of the roots, signs of the roots, constructing a quadratic equation, finding the roots of a quadratic equation by graphical method, equation of higher degree, maximum or minimum value of a quadratic expression, quadratic in-equations.

Chapter 5: 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 Some more advanced topics include Arithmetic Mean (A.M), Geometric Progression (G.P), Infinite geometric progression, Harmonic Progression ( H.P), Harmonic mean, inserting n harmonic means between two numbers, relationship between A.M, H.M, and G.M of two numbers.

Chapter 6: 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.
    • (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
    • (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
    • (Prove) In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
    • (Prove) In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, the angle opposite to the first side is a right angle.

Chapter 7: Coordinate Geometry

Lines (In two-dimensions)

Review: Concepts of co-ordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.Advance topics included are convention of signs, applications of distance formula, collinearity of three points, straight lines, inclination of a line, slope of gradient of a line, intercepts of a straight line, equation of line in general form, equation of some standard lines, oblique line, different forms of equations of oblique lines, areas of triangle, area of quadrilateral, section formulae, mid point, centroid, equation of a line parallel or perpendicular to the given line, median of a triangle, altitude of a triangle.

Chapter 14: Statistics

Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.More advanced topics include data, types of data, tabulation or presentation of data, class interval, class boundaries, class size, class mark of mid value, statistical graphs, bar graph, histograms, frequency polygon, frequency curve, cumulative frequency curves, arithmetic mean for raw data, weighted arithmetic mean, median, mode, properties of mode, measure of central tendencies for grouped data, mean of grouped data, median of grouped data, mode of grouped data, range, calculation of variance and standard deviation of raw and grouped data, coefficient of variation, quartiles, estimation of mode from histogram.

Chapter 15: Probability

Classical definition of probability. Simple problems on finding the probability of an event. Sub topics include sample space, events, probability of an event, probability of non occurrence of an event.

Chapter 15: Probability

Classical definition of probability. Simple problems on finding the probability of an event. Sub topics include sample space, events, probability of an event, probability of non occurrence of an event,

Note: 1. Topic “Solutions of quadratic equations by completing the square method.” of chapter 4 will be deleted as per CBSE curriculum 2019-20.

Term II

Chapter 8: 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 00 and 900. Values of the trigonometric ratios of 300, 450 and 600. Relationships between the ratios.

Proof and applications of the identity sin2 A + cos2A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles. Sub topics include angle, systems of measurement of angle, trigonometric ratios, pythagorean triplets, trigonometric identities, standard position of an angle, coterminal angles, signs of trigonometric ratios, trigonometric tables

Chapter 9: Some Applications of Trigonometry

Heights and distances: Angle of elevation, Angle of Depression. Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30, 450, 600

Chapter 10: 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.

Chapter 11: Constructions

Division of a line segment in a given ratio (internally). Tangents to a circle from a point outside it.

Construction of a triangle similar to a given triangle.

Chapter 12: Area Related to Circles

Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating the area of the segment of a circle, problems should be restricted to the central angle of 60°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circles should be taken.)

Chapter 13: 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. Frustum of a cone.

Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combinations of not more than two different solids are taken.)

Suggested Mathematics Question Paper Design - Class 10

Typology of Questions

Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.

Number of Questions Asked that are Objective type Questions = 6

Number of Questions Asked that are Short Answer Type Questions = 4

Number of Questions Asked that are Long Answer Type Questions = 1

Total Marks = 20

Total Weightage = 25%

Typology of Questions

Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions and stating main ideas

Number of Questions Asked that are Objective type Questions = 6

Number of Questions Asked that are Short Answer Type Questions = 2

Number of Questions Asked that are Long Answer Type Questions = 3

Total Marks = 23

Total Weightage = 29%

Typology of Questions

Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.

Number of Questions Asked that are Objective type Questions = 5

Number of Questions Asked that are Short Answer Type Questions = 4

Number of Questions Asked that are Long Answer Type Questions = 1

Total Marks = 19

Total Weightage = 24%

Typology of Questions

Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations

Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.

Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions

Number of Questions Asked that are Objective type Questions = 3

Number of Questions Asked that are Short Answer Type Questions = 4

Number of Questions Asked that are Long Answer Type Questions = 1

Total Marks = 18

Total Weightage = 22%

Internal Assessment = 20 Marks

Pen Paper Test and Multiple Assessment (5+5) = 10 Marks

Portfolio = 5 Marks

Lab Practical (Lab activities to be done from the prescribed books) = 5 Marks

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