Real Numbers
Build number sense for Euclid division lemma, HCF, LCM, prime factorisation, irrationality proofs, and decimal expansion questions.
Updated for the official 2026–27 curriculum
Use this as a practical syllabus map: see where the 80 theory marks sit, open any chapter guide, or try a complete problem that explains each decision as you make it.
Seven official units
Algebra carries the largest unit allocation, but the full paper draws from all seven units. Treat these numbers as a revision-time guide, not permission to skip a chapter.
Real Numbers
Polynomials · Pair of Linear Equations · Quadratic Equations · Arithmetic Progressions
Coordinate Geometry
Triangles · Circles
Introduction to Trigonometry · Applications of Trigonometry
Areas Related to Circles · Surface Areas and Volumes
Statistics · Probability
Source: CBSE Mathematics Standard (041) and Mathematics Basic (241) Class X curriculum, academic year 2026–27.
Mathematics Standard (041)
In the official question-paper design, 37 of 80 marks are assigned to applying, analysing, evaluating, or creating. That is why the free problems below ask students to choose and explain the next move.
All 14 chapters
Every practice link opens directly. Students do not have to visit a landing page or create an account first.
Build number sense for Euclid division lemma, HCF, LCM, prime factorisation, irrationality proofs, and decimal expansion questions.
Master zeros, coefficients, factorisation, and the relationship between roots and polynomial graphs.
Learn graphical meaning, substitution, elimination, cross multiplication, consistency, and real-life equation modelling.
Develop a complete understanding of quadratic equations, roots, factorisation, completing the square, formula use, discriminant, and application problems.
Understand AP patterns, nth term, sum of terms, and board-style word problems involving repeated growth or fixed differences.
Learn similarity, proportionality, Pythagoras theorem, and proof-based triangle reasoning with visual models.
Practise distance formula, section formula, midpoint ideas, and area of triangles on the coordinate plane.
Build trigonometric ratio intuition, standard values, identities, and simplification skills.
Learn heights and distances problems using angle of elevation, angle of depression, and right-triangle modelling.
Understand tangents, radii, contact points, and tangent length reasoning through visual geometry.
Practise sector, segment, ring, and combined area questions with visual breakdowns.
Master solids, conversions, combinations of solids, frustums, and practical volume questions.
Learn mean, median, mode, grouped data, cumulative frequency, and ogive interpretation.
Build probability intuition for equally likely outcomes, dice, coins, cards, tables, and area-based probability.
Official resources
The linked sample paper is the latest official Class X Mathematics Standard paper currently published in CBSE’s sample-paper section. It is labelled 2025–26; this page does not relabel it as a 2026–27 paper.
Quick answers
Yes. The unit names and theory marks shown here come from the official CBSE Class X Mathematics curriculum for 2026–27. Each chapter link opens an explanatory guide, and each Try one problem link opens a free guided problem without sign-up.
The official 2026–27 curriculum specifies an 80-mark, three-hour theory paper and 20 marks of internal assessment.
No. Unit weightage is useful for planning time, but it is not a safe chapter-skipping list. Build dependable basics across all seven units, then spend extra practice time on Algebra, Geometry, and Trigonometry.