1Number and algebra foundations
3 chaptersFactorisation, prime factoring, and solving simultaneous equations are gates that unlock every later algebra chapter.
- Real Numbers
- Polynomials
- Pair of Linear Equations in Two Variables
NCERT reference page
NCERT Class 10 Math Syllabus — Chapter Dependency Map
Most students study chapters in textbook order but hit a wall at Quadratic Equations or Circles because earlier foundations were skipped. This page maps which chapters depend on which, so you build the right skills before moving forward.
14
chapters covered
5
topic groups
≈30%
of board marks from algebra
Dependency map
Step 1 — Foundations
Real Numbers → Polynomials → Linear Equations
Step 2 — Advanced algebra & geometry
Quadratic Equations → AP → Triangles → Coordinate Geometry → Circles
Step 3 — Applications & data
Trigonometry → Applications → Measurement → Statistics, Probability
Key insight
Chapters 1–3 are prerequisites for more than half the paper. Get them solid first.
Syllabus by topic group
14 chapters mapped into five dependency-aware groups
Each group below is ordered so that earlier groups feed skills into later ones. Revising one group at a time reduces the gaps that cause errors mid-paper.
2Advanced algebra
2 chaptersTwo chapters that appear in nearly every board paper — one for roots and discriminants, one for sum and nth-term formulae.
- Quadratic Equations
- Arithmetic Progressions
3Geometry
4 chaptersSimilarity and the Basic Proportionality Theorem underpin the geometry section; prove one theorem fully, then apply the pattern.
- Triangles
- Coordinate Geometry
- Circles
- Constructions
4Trigonometry
2 chaptersMemorise the table for 0°–90° once, then spend revision time on elevation/depression word problems.
- Introduction to Trigonometry
- Some Applications of Trigonometry
5Measurement and data
4 chaptersFormula chapters — accuracy matters more than derivation. Write units at every step in volumes and areas.
- Areas Related to Circles
- Surface Areas and Volumes
- Statistics
- Probability
Practice bridge
Three ways to turn this dependency map into active practice
Step 1
Generate 10 board-style questions on Quadratic Equations covering all three solving methods.
Step 2
Ask for coordinate geometry problems that combine distance, section, and area formulas.
Step 3
Create a mixed paper that covers one question from each of the five groups above.
Why a dependency map works
How this page is different from a chapter list
Most syllabus pages repeat the chapter names in textbook order and stop there. The problem is that chapter order is not the same as learning order. Real Numbers comes first in the textbook, but Polynomials is where factorisation actually gets used — and Quadratic Equations cannot be solved by factorisation unless Polynomials was properly understood. This page makes those links explicit.
The five topic groups above are organised so that the skills built in each group are carried forward into the next. Students who follow the dependency sequence tend to have fewer “why does this not make sense” moments because the prerequisite knowledge is already in place before it is needed.
The practice test link at the top and bottom of this page uses an AI generator that can produce board-style questions for any of the chapters here. Combine the study order from this page with the generator to build a structured revision plan rather than an ad hoc one.