CBSE Class 10 Maths Board Prep
The whole syllabus taught properly, then the board paper practised until it holds no surprises.
Flexible course duration
Duration depends on the student's background and pace. Beginners (kids / teens): typically 6 to 9 months. Adults with prior knowledge: often shorter, with an accelerated path.
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Program Overview
Class 10 is the first year the maths marks travel with the student, and the current board paper rewards more than memorised solutions: roughly half of it is competency-based, case studies, data interpretation and situational problems, alongside about 20 percent MCQs and 30 percent traditional short and long answers. This 10-month live course is built for exactly that paper. Months 1 to 8 teach all 14 NCERT chapters across the seven syllabus units, with the unit weightage kept in view throughout: Algebra carries 20 of the 80 theory marks, Geometry 15, Trigonometry 12, Statistics and Probability 11, Mensuration 10, and Number Systems and Coordinate Geometry 6 each. Months 9 and 10 are pure exam craft: structured revision, CBSE sample papers and previous-year papers under real timing, and error clinics after every mock.
Case-study and MCQ practice is not saved for the end. From the first chapter, every topic closes with the question forms the board actually asks, so by the mock phase the format is familiar and only speed and polish remain. We teach both Standard (041) and Basic (241) tracks and help each family make that choice with evidence from the student's own test scores, not guesswork. What we promise is preparation and honest feedback; nobody can promise marks, and we do not.
What Makes This Program Different
- Aligned to the 2026-27 CBSE syllabus as released, all 14 chapters across the 7 units, with the 80-mark theory weightage steering how class time is spent
- Competency questions from week 1: every chapter closes with case-study, data and MCQ practice in the board's actual style, not as a panic module in January
- Two full months of revision and mocks, with CBSE sample papers and previous-year papers under real 3-hour timing and a marked review of every attempt
- Standard versus Basic decided with data: periodic test scores through the year tell each family which paper suits, and we advise honestly either way
- Proof writing and stepwise presentation taught explicitly, because the board marking scheme awards steps, and students lose easy marks by skipping them
- Live small batches where the teacher sees each student's working, not a video series with a doubt inbox
Your Learning Journey
Career Progression
Detailed Course Curriculum
Explore the complete week-by-week breakdown of what you'll learn in this comprehensive program.
Topics Covered
- Diagnostic paper on Class 9 essentials: identities, linear equations, basic geometry
- The fundamental theorem of arithmetic and prime factorisation
- HCF and LCM by prime factorisation, and the HCF x LCM relationship
- Proving irrationality: root 2, root 3, root 5 by contradiction, written to board standard
- Word problems on HCF and LCM: bells, circular tracks, stacking crates
- Board question forms for this chapter: 1-mark MCQs and 2-3 mark proofs
Projects You Build
- Chapter question bank entry: 15 solved board-style questions on real numbers, built and kept by the student
Practice & Assignments
25 prime factorisation and HCF-LCM problems plus 3 irrationality proofs written out in full board steps
Topics Covered
- Zeros of a polynomial read from the graph: where the curve cuts the x-axis
- Geometric meaning of zeros for linear and quadratic polynomials
- Relationship between zeros and coefficients of a quadratic polynomial
- Forming a quadratic polynomial from given zeros
- Verification questions: checking the zero-coefficient relationships
- MCQ traps in this chapter: sign errors and reversed relationships
Projects You Build
- Graph-reading sheet: 8 polynomial graphs interpreted for number and sign of zeros
Practice & Assignments
30 zeros-and-coefficients problems, 10 of them MCQ format, misses redone with the relationship written out
Assessment
Month 1 test: a 25-mark paper on Real Numbers and Polynomials in board format, marked with the board's stepwise scheme
Topics Covered
- Graphical solution: consistent, inconsistent and dependent pairs seen as line pictures
- The ratio test for number of solutions, and why it works
- Substitution method with clean recording of steps
- Elimination method and choosing which variable to remove
- Word problems: ages, two-digit numbers, speeds and boats, fixed plus per-unit costs
- Case-study practice: fare structures and cafeteria pricing, the board's favourite settings
Projects You Build
- Word-problem translation drill: 10 situations converted to equation pairs before any solving
Practice & Assignments
20 equation pairs solved by the method of your choice plus 6 word problems and 1 full case study, self-timed
Topics Covered
- Standard form and checking whether an equation is quadratic
- Solving by factorisation: splitting the middle term with speed
- The quadratic formula, derived once and then drilled
- The discriminant and nature of roots: real, equal, or none
- Word problems: consecutive numbers, areas, speed-time, work problems
- Finding unknown coefficients from conditions on the roots
Projects You Build
- Chapter question bank entry: 15 solved board-style quadratics including 2 case studies
Practice & Assignments
25 quadratics split between factorisation and formula, plus 8 nature-of-roots questions with reasons stated
Assessment
Month 2 test: a 30-mark paper on both equation chapters with MCQ, short answer and one case study
Topics Covered
- Recognising an AP and finding the common difference
- The nth term formula, forwards and in reverse: which term is 78
- Sum of the first n terms, both formula forms and when each helps
- Word problems: instalments, salaries, theatre seating, ladder rungs
- Three unknowns from two conditions: combining the nth term and sum formulas
- AP case studies: savings plans and stacked logs in board style
Projects You Build
- AP situations sheet: 8 real-life progressions identified, with first term and difference extracted
Practice & Assignments
30 AP problems from nth term to sums, including 5 word problems and 1 case study, misses logged by type
Topics Covered
- Mixed revision across all five phase 1 chapters
- Stepwise presentation clinic: what the marking scheme pays for and what it ignores
- Assertion-reason questions: the logic and the common traps
- Case-study workshop: reading the stem once, answering all sub-parts efficiently
- Timed sectional practice: the algebra questions of a sample paper in isolation
- Error log review: each student's top three algebra weak spots named and drilled
Projects You Build
- Personal error log formalised: every phase 1 test miss classified as concept, method or presentation
Practice & Assignments
One timed algebra-only sectional paper plus 10 assertion-reason questions, reviewed against the marking scheme
Assessment
Phase 1 milestone: a 40-mark algebra and number systems paper in full board format, 50 percent competency questions
Topics Covered
- Similar figures and what similarity actually claims
- The basic proportionality theorem and its converse, proved and applied
- Similarity criteria: AA, SSS and SAS, with when to use which
- Finding lengths in nested and overlapping triangle figures
- Writing a geometry proof the board way: given, to prove, construction, proof
- Similarity in the wild: shadows, ramps and scale models as case studies
Projects You Build
- Proof portfolio started: BPT and two similarity applications written to full board standard
Practice & Assignments
20 similarity problems including 4 proofs written out in the four-part format, figures drawn for every question
Topics Covered
- The distance formula, derived from Pythagoras and drilled
- Types of triangles and quadrilaterals verified by distances
- The section formula and midpoint as its special case
- Finding ratios: where the x-axis cuts a line segment
- Collinearity and equidistance problems
- Coordinate case studies: layouts of gardens, flags on a sports field
Projects You Build
- Chapter question bank entry: 12 solved coordinate geometry questions across all board formats
Practice & Assignments
25 distance and section formula problems with a labelled sketch for each, plus 1 case study
Assessment
Month 4 test: a 25-mark paper on Triangles and Coordinate Geometry with one full proof question
Topics Covered
- The six ratios defined in a right triangle, with the naming logic
- Exact values for 0, 30, 45, 60 and 90 degrees, and how to rebuild the table from two triangles
- Finding all ratios when one is given
- The fundamental identity and its two rearrangements
- Proving trigonometric identities: strategy, not trial and error
- MCQ speed work on ratio values and identity recognition
Projects You Build
- Identity toolkit card: the identities plus the five standard proof moves, in the student's own words
Practice & Assignments
30 ratio evaluations and 8 identity proofs, each proof annotated with which move was used at each step
Topics Covered
- Angles of elevation and depression, and reading them off a clean figure
- The non-negotiable first step: draw and label the right triangle
- Single-triangle problems: towers, kites, ladders
- Two-triangle problems: two observers, moving closer, two levels
- Choosing the ratio that solves in one step instead of three
- Case studies: lighthouses, drones and temple towers in board style
Projects You Build
- Figure-first drill set: 10 heights and distances problems where the marked figure is drawn before any calculation
Practice & Assignments
18 heights and distances problems including 4 two-triangle setups and 1 case study, every figure labelled
Assessment
Month 5 test: a 25-mark trigonometry paper mixing ratios, identities and applications
Topics Covered
- Tangents and secants: what touching actually means
- The tangent-radius perpendicularity theorem, proved and used
- Equal tangents from an external point, proved and used
- Angle chasing in tangent figures using both theorems
- Lengths in circumscribed quadrilaterals and triangles
- Circle proofs written to the four-part board standard
Projects You Build
- Proof portfolio extended: both tangent theorems plus two applications written in full
Practice & Assignments
20 circle problems including 3 proofs and 5 angle-chasing figures, figures redrawn not copied
Topics Covered
- Structured revision across phases 1 and 2: one summary mat per chapter
- Half-syllabus mock in full board format and timing
- Marking workshop: students mark an anonymised script against the scheme
- Error clinic: every mock miss classified and assigned a drill
- Basic versus Standard conversation opens: what the mock evidence suggests for each student
- Presentation audit: figures, steps and units checked across the whole script
Projects You Build
- Half-syllabus mock with a written self-review: three strengths, three fixes, one habit to change
Practice & Assignments
Redo every mock miss untimed with full working, then a 15-question drill on your weakest chapter
Assessment
Phase 2 milestone: half-syllabus board-format mock covering all ten chapters taught so far
Topics Covered
- Sector area and arc length, tied back to the fraction of the full circle
- Segment area: sector minus triangle, set up cleanly
- Combination figures: designs, running tracks, flower beds
- Working with standard angles in sectors and segments
- Leaving answers in terms of pi versus computing, and when the paper wants which
- Case studies: clock faces, umbrellas and window designs
Projects You Build
- Combination-figure sheet: 8 shaded-region problems with the decomposition drawn before any formula
Practice & Assignments
20 sector, segment and shaded-region problems with the decomposition stated in one line each time
Topics Covered
- Surface areas and volumes of cube, cuboid, cylinder, cone, sphere and hemisphere, consolidated
- Combined solids: capsule, tent, ice-cream cone, toy on a hemisphere
- Which surfaces vanish when solids join: the one idea behind every surface-area question
- Volume problems on combined solids
- Unit discipline: cubic centimetres, litres and the conversions the board expects
- Case studies: storage tanks, medicine capsules and circus tents
Projects You Build
- Solid dissection cards: 6 combined solids sketched, split into parts, with the joining surfaces marked
Practice & Assignments
18 combined-solid problems, half surface area and half volume, units checked on every answer
Assessment
Month 7 test: a 20-mark mensuration paper including one case study and one MCQ set
Topics Covered
- Grouped frequency tables: class marks, limits and boundaries
- Mean by the direct method, assumed mean and step deviation, and when each saves time
- Median of grouped data: the cumulative frequency column done carefully
- Mode of grouped data and the modal class
- Reading and interpreting data tables the way competency questions present them
- Choosing between mean, median and mode when a question asks which represents the data
Projects You Build
- Data study: the student collects a real dataset from home or school, groups it and computes all three measures
Practice & Assignments
12 full grouped-data problems covering all three measures, tables laid out to board standard
Topics Covered
- Classical probability: equally likely outcomes and the counting behind them
- Cards, dice, coins and balls: the standard sample spaces mastered
- Complementary events and the not-happening shortcut
- Two-object experiments: two dice, two coins, drawn without replacement kept simple
- Probability case studies and data-linked questions
- Full-syllabus map: every chapter now taught, revision plan issued
Projects You Build
- Chapter question bank completed: the student's own solved bank now covers all 14 chapters
Practice & Assignments
30 probability questions from single events to two-object experiments, plus 1 case study
Assessment
Phase 3 milestone: a 25-mark statistics and probability paper, plus the full-syllabus revision plan agreed with each student
Topics Covered
- Rapid re-teach of the five algebra-phase chapters, driven by each student's error log
- Mixed-chapter problem sets: questions that do not announce their chapter
- MCQ sprint sessions: 20 questions in 25 minutes with instant review
- Case-study circuit: four stems across four chapters in one sitting
- Formula-free fluency check: rebuilding key formulas from scratch
- One-page revision sheets finalised per chapter
Projects You Build
- Revision sheet set one: student-made single pages for all five algebra-phase chapters
Practice & Assignments
One mixed algebra paper of 30 marks self-timed, plus 20 MCQs, both marked in class
Topics Covered
- Proof rehearsal: BPT, tangent theorems and identity proofs rewritten from memory
- Heights and distances mixed set, figures first as always
- Mensuration decomposition drills on unseen combination figures
- Statistics and probability rapid set with full table discipline
- The 50 percent competency share: reviewing what the recent board papers actually asked
- Time budgeting: minutes per section planned for the 3-hour paper
Projects You Build
- Revision sheet set two: single pages for the remaining nine chapters, completing the personal revision pack
Practice & Assignments
One mixed geometry-trigonometry paper of 30 marks self-timed, plus a 15-question data-chapters drill
Assessment
Month 9 checkpoint: two sectional papers marked against the board scheme, error logs updated
Topics Covered
- The CBSE sample paper attempted in one 3-hour sitting
- Marking against the official scheme, step by step
- Error clinic one: concept gaps versus presentation losses separated
- Previous-year paper attempted under timing
- Question selection strategy: order of attack, when to move on, returning to parked questions
- Handling the case-study section efficiently: stem once, sub-parts in order
Projects You Build
- Mock file opened: each paper filed with its marked script, error classification and one-line fix per miss
Practice & Assignments
Between classes: one additional sample paper attempted at home under honest timing, brought marked to class
Topics Covered
- Two final full mocks under strict conditions, spaced for recovery
- Error clinic two: closing the last recurring mistakes
- Presentation final pass: figures, steps, units, boxed answers
- The last 48 hours: what to revise, what to leave alone, sleep over cramming
- Exam-day routine: admit card to answer script, walked through calmly
- Course close: results of the mock series reviewed with each family
Projects You Build
- Completed mock file: the full series with scores charted, handed to the student as their evidence of readiness
Practice & Assignments
Light targeted drills only, set individually from each student's final error log
Assessment
Course milestone: final full-syllabus mock in board format, reviewed one-on-one, plus certificate review
Projects You'll Build
Build a professional portfolio with A complete self-built revision system: question bank, proof portfolio, revision sheets, error log and marked mock file real-world projects.
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