Your roadmap · आपका रोडमैप
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Admission & first meetingप्रवेश और पहली मुलाकातEnquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.
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Term 1 (April – September)प्रथम सत्र (अप्रैल – सितंबर)First half of every subject, with a unit test every month.
Real NumbersPolynomialsPair of Linear Equations in Two VariablesQuadratic EquationsArithmetic ProgressionsTrianglesCoordinate Geometry
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Half-yearly examअर्धवार्षिक परीक्षाHalf-yearly test on the first-term chapters, with a report to parents.
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Term 2 (October – January)द्वितीय सत्र (अक्टूबर – जनवरी)Second half of every subject, with unit tests.
Introduction to TrigonometrySome Applications of TrigonometryCirclesAreas Related to CirclesSurface Areas and VolumesStatisticsProbability
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Revision & mock testsरिवीजन और मॉक टेस्टFull-syllabus revision, sample papers and board-pattern mock tests.
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Annual / board examवार्षिक / बोर्ड परीक्षाClass 10 annual / board exam.
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Online tests & resultऑनलाइन टेस्ट और रिज़ल्टTake the tests online; your marks and result show in your student login and at the centre.
Syllabus · पाठ्यक्रम
1 subject · 14 chapters · 56 topics
01Real Numbers
4 topics+
- 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 topics+
- Geometrical meaning of zeroes
- Relationship between zeroes and coefficients
- Forming a quadratic polynomial from its zeroes
03Pair of Linear Equations in Two Variables
5 topics+
- Graphical method of solution
- Consistency and inconsistency of a pair
- Substitution method
- Elimination method
- Word problems
04Quadratic Equations
5 topics+
- Standard form of a quadratic equation
- Solution by factorisation
- Quadratic formula
- Discriminant and nature of roots
- Word problems
05Arithmetic Progressions
4 topics+
- Common difference and general form
- nth term of an AP
- Sum of first n terms
- Word problems on APs
06Triangles
4 topics+
- Similar figures
- Basic Proportionality Theorem and its converse
- Criteria for similarity: AAA, SSS, SAS
- Applications of similarity
07Coordinate Geometry
4 topics+
- Distance formula
- Section formula
- Mid-point formula
- Applications to geometrical figures
08Introduction to Trigonometry
4 topics+
- 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 topics+
- Line of sight and horizontal level
- Angle of elevation
- Angle of depression
- Heights and distances problems (up to two right triangles)
10Circles
4 topics+
- 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 topics+
- 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 topics+
- Surface area of a combination of solids
- Volume of a combination of solids
- Real-life problems on combined solids
13Statistics
4 topics+
- 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 topics+
- Experimental and theoretical probability
- Sample space and equally likely outcomes
- Complementary events
- Problems on coins, dice and cards
About this course
You will be able to
- 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
Who it is for
- 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
What you need
- Class 9 Mathematics completed
- NCERT Mathematics textbook for Class 10, notebook and geometry box
Online tests & result
Practice and unit tests online; marks and result show in your student login and at the centre.
Student login →
Questions
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.
