Class 10 Mathematics

Class 10 Mathematics: full syllabus tuition with regular tests (CBSE / UP Board).

12 महीनेअवधि 14Chapters56टॉपिक

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01Real Numbers 4 टॉपिक

Fundamental Theorem of Arithmetic
HCF and LCM by prime factorisation
Relation HCF x LCM = product of two numbers
Proving irrationality of sqrt(2), sqrt(3), sqrt(5)

02Polynomials 3 टॉपिक

Geometrical meaning of zeroes
Relationship between zeroes and coefficients
Forming a quadratic polynomial from its zeroes

03Pair of Linear Equations in Two Variables 5 टॉपिक

Graphical method of solution
Consistency and inconsistency of a pair
Substitution method
Elimination method
Word problems

04Quadratic Equations 5 टॉपिक

Standard form of a quadratic equation
Solution by factorisation
Quadratic formula
Discriminant and nature of roots
Word problems

05Arithmetic Progressions 4 टॉपिक

Common difference and general form
nth term of an AP
Sum of first n terms
Word problems on APs

06Triangles 4 टॉपिक

Similar figures
Basic Proportionality Theorem and its converse
Criteria for similarity: AAA, SSS, SAS
Applications of similarity

07Coordinate Geometry 4 टॉपिक

Distance formula
Section formula
Mid-point formula
Applications to geometrical figures

08Introduction to Trigonometry 4 टॉपिक

Trigonometric ratios of an acute angle
Ratios of specific angles 0, 30, 45, 60, 90 degrees
Trigonometric identities
Simplification and proofs

09Some Applications of Trigonometry 4 टॉपिक

Line of sight and horizontal level
Angle of elevation
Angle of depression
Heights and distances problems (up to two right triangles)

10Circles 4 टॉपिक

Tangent to a circle
Tangent is perpendicular to the radius
Number of tangents from a point
Lengths of tangents from an external point

11Areas Related to Circles 4 टॉपिक

Perimeter and area of a circle (revision)
Area of a sector
Area of a segment
Problems on combinations of plane figures

12Surface Areas and Volumes 3 टॉपिक

Surface area of a combination of solids
Volume of a combination of solids
Real-life problems on combined solids

13Statistics 4 टॉपिक

Mean of grouped data (direct and assumed mean methods)
Mode of grouped data
Median of grouped data
Empirical relation between mean, median and mode

14Probability 4 टॉपिक

Experimental and theoretical probability
Sample space and equally likely outcomes
Complementary events
Problems on coins, dice and cards

परिचय

आप यह कर पाएँगे

Use prime factorisation for HCF / LCM and prove numbers irrational
Solve pairs of linear equations and quadratic equations, and find terms and sums of arithmetic progressions
Apply similarity of triangles, coordinate geometry formulas and properties of tangents to circles
Use trigonometric ratios and identities and solve heights and distances problems
Find areas of sectors and segments and surface areas / volumes of combined solids
Calculate mean, median and mode of grouped data and solve simple probability problems
Attempt the board paper with correct steps, neat working and good time management

यह किसके लिए है

Class 10 students of CBSE and UP Board preparing for the board exam
Students aiming for Standard Mathematics and later Science / Commerce streams
Learners who need structured revision, sample papers and doubt clearing

आपको क्या चाहिए

Class 9 Mathematics completed
NCERT Mathematics textbook for Class 10, notebook and geometry box

सवाल

Is the syllabus as per the latest board pattern?

Yes. It follows the current rationalised NCERT Class 10 Mathematics book used by CBSE and UP Board.

Will you solve sample papers and previous board papers?

Yes. After the syllabus is completed, board sample papers and previous years' papers are solved under timed conditions.

How are tests conducted?

Chapter tests, monthly tests and full-length pre-board papers, with marks shared with parents.

Is this for Standard or Basic Mathematics?

The syllabus is the same NCERT book for both. Standard-level questions are practised; Basic students get extra focus on core questions.