Number Systems
Real Numbers. Euclid's division lemma, the fundamental theorem of arithmetic, and proving the irrationality of numbers. This is a short unit but sets up notation and reasoning used later in the year.
Algebra
Polynomials. Zeroes of a polynomial and the relationship between zeroes and coefficients, building on Class 9 factorisation.
Pair of Linear Equations in Two Variables. Graphical and algebraic solutions (substitution, elimination), and word problems that translate a real situation into two equations.
Quadratic Equations. Solving by factorisation, completing the square, and the quadratic formula, plus word problems and the nature of roots. This is usually the single highest-weightage chapter in the paper.
Arithmetic Progressions. Finding the nth term and the sum of n terms, and applying both to word problems. A reliably scorable chapter once the two core formulas are fluent.
Coordinate Geometry
Coordinate Geometry. The distance formula, the section formula, and finding the area of a triangle using coordinates. Concepts are straightforward, but substitution errors under time pressure are the most common source of lost marks.
Geometry
Triangles. Similarity of triangles, the Basic Proportionality Theorem, and the Pythagoras theorem, with proof-based questions appearing regularly.
Circles. Tangents to a circle and their properties, including the angle between a tangent and a chord. Diagram accuracy matters as much as the theorem itself here.
Trigonometry
Introduction to Trigonometry. Trigonometric ratios, standard angle values, and trigonometric identities.
Some Applications of Trigonometry. Heights and distances word problems using angles of elevation and depression. Drawing the diagram correctly before solving is the key skill.
Mensuration
Areas Related to Circles. Area of a circle, sectors, and segments, and combinations of circles with other plane figures.
Surface Areas and Volumes. Surface area and volume of combinations of solids (cylinders, cones, spheres, hemispheres), and conversions between one solid shape and another.
Statistics and Probability
Statistics. Mean, median, and mode of grouped data, and cumulative frequency graphs (ogives).
Probability. Classical (theoretical) probability of simple events, building on the Class 9 introduction to the topic.
How the units connect across the year
The units are not fully independent. Coordinate Geometry problems sometimes combine with Triangles or Circles. Trigonometry identities require the same algebraic manipulation skills built in the Algebra unit. Word problems across Algebra, Arithmetic Progressions, and Trigonometry all depend on the same underlying skill: translating a real situation into a correct equation before solving it. A study plan that treats each chapter in isolation, without practising these combinations, tends to leave students underprepared for board-style questions that blend two units together.
Because the exact chapter list, weightage, and any deletions can be revised by CBSE from year to year, always cross-check the current syllabus against the official CBSE circular or your child's school before finalising a study plan.
Turning this syllabus into a study or tuition plan
A common approach is to work through the chapters alongside the school's own pace from June to December, prioritising Algebra and Geometry early since they carry the most weight and take the longest to become fluent in. From January, the focus shifts to previous years' paper practice and closing whatever chapter gaps remain. TutorHive's Class 10 CBSE Maths small-batch tuition follows this same syllabus chapter by chapter in a live batch capped at 6 students, with weekly tests to track progress against it. For a deeper look at exam strategy and common mistakes, see our guide on Class 10 maths board exam preparation.
Frequently asked questions
How many chapters are there in CBSE Class 10 Maths?
CBSE Class 10 Maths is organised into 7 broad units: Number Systems, Algebra, Coordinate Geometry, Geometry, Trigonometry, Mensuration, and Statistics and Probability. Algebra and Geometry each contain multiple chapters, so the total chapter count is higher than the unit count. Always confirm the exact chapter list against the current year's official CBSE circular, since it can be revised.
Which unit carries the most weight in the Class 10 Maths board exam?
Algebra and Geometry are consistently the two highest-weightage units in the CBSE Class 10 Maths board paper, followed by Coordinate Geometry, Trigonometry, and Statistics and Probability. Exact marks distribution can shift slightly year to year, so treat this as a general priority order rather than a fixed formula.
Is Class 10 Maths harder than Class 9 Maths?
Class 10 Maths builds directly on Class 9 topics like polynomials, linear equations, and geometry proofs, and applies them in more combined, board-style questions. Students with weak Class 9 foundations usually find Class 10 noticeably harder, which is why closing Class 9 gaps early in Class 10 matters.
How should a student plan the year around this syllabus?
A common approach is to cover chapters alongside the school timetable from June to December, then spend January to the board exam on revision and previous years' paper practice. Algebra and Geometry chapters are usually prioritised first since they carry the most weight and take longest to master.