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NCERT Solutions for Class 9 Maths – Chapter-wise Answers & Weightage (CBSE 2025)

NCERT Solutions for Class 9 Maths provide step-by-step answers to every exercise in the latest Class 9 Mathematics textbook and help students build a strong foundation for Class 10 and competitive exams. Use this page to quickly navigate chapter-wise solutions, unit-wise weightage, important formulas, and practice resources aligned with the CBSE/NCERT syllabus.

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Chapter-wise NCERT Solutions for Class 9 Maths

Explore reliable, exam-focused answers for all 15 chapters of Class 9 Maths. The chapter list below mirrors the standard NCERT order and includes exercise-wise coverage for quick access. (Chapter list and structure corroborated with popular references for Class 9 Maths solutions.) :contentReference[oaicite:0]{index=0}

Ch. Chapter Name What you learn Go to Solutions
1 Number Systems Real numbers, decimal expansions, laws of exponents. https://www.ncertbooks.net/ncert-solutions/class-9/maths/number-systems/
2 Polynomials Terminology, zeroes, factor & remainder theorems. https://www.ncertbooks.net/ncert-solutions/class-9/maths/polynomials/
3 Coordinate Geometry Cartesian plane, plotting points, basic distance intuition. https://www.ncertbooks.net/ncert-solutions/class-9/maths/coordinate-geometry/
4 Linear Equations in Two Variables ax + by + c = 0, graphing, infinitely many solutions. https://www.ncertbooks.net/ncert-solutions/class-9/maths/linear-equations-in-two-variables/
5 Introduction to Euclid’s Geometry Postulates, axioms, definitions; Euclidean approach. https://www.ncertbooks.net/ncert-solutions/class-9/maths/intro-to-euclids-geometry/
6 Lines and Angles Angle pairs, vertically opposite angles, angle sum in a triangle. https://www.ncertbooks.net/ncert-solutions/class-9/maths/lines-and-angles/
7 Triangles Congruence criteria, inequalities, basic properties. https://www.ncertbooks.net/ncert-solutions/class-9/maths/triangles/
8 Quadrilaterals Properties, parallelograms, relations with triangles. https://www.ncertbooks.net/ncert-solutions/class-9/maths/quadrilaterals/
9 Areas of Parallelograms and Triangles Area relations and proofs; problem-solving with figures. https://www.ncertbooks.net/ncert-solutions/class-9/maths/areas-of-parallelograms-and-triangles/
10 Circles Chords, arcs, angles, cyclic quadrilaterals, theorems. https://www.ncertbooks.net/ncert-solutions/class-9/maths/circles/
11 Constructions Triangle construction; bisectors; standard angles. https://www.ncertbooks.net/ncert-solutions/class-9/maths/constructions/
12 Heron’s Formula Area of triangles & composite figures using Heron’s formula. https://www.ncertbooks.net/ncert-solutions/class-9/maths/herons-formula/
13 Surface Areas and Volumes Cuboids, cylinders, cones, spheres; conversions & comparisons. https://www.ncertbooks.net/ncert-solutions/class-9/maths/surface-areas-and-volumes/
14 Statistics Data collection, tabulation, graphs (histogram, polygon), measures. https://www.ncertbooks.net/ncert-solutions/class-9/maths/statistics/
15 Probability Basic probability ideas, simple experiments & events. https://www.ncertbooks.net/ncert-solutions/class-9/maths/probability/

The exercise-wise structure typically includes multiple exercises in Chapters 1–4, 6–7, 9–10, and extended sets for mensuration and statistics—use the chapter links above to open each exercise solution quickly. :contentReference[oaicite:1]{index=1}

CBSE Unit-wise Weightage (Class 9 Maths)

Here is a commonly referenced breakdown of unit weightage used by many schools to plan assessments and practice. Treat this as guidance while preparing for school tests and periodic assessments. :contentReference[oaicite:2]{index=2}

Unit No. Unit Name Marks
I Number Systems 8
II Algebra 17
III Coordinate Geometry 4
IV Geometry 28
V Mensuration 13
VI Statistics & Probability 10
Total 80

How to use these solutions effectively

  1. First read the textbook section; mark definitions, theorems, and solved examples.
  2. Attempt every question yourself. Then compare with the step-wise NCERT solutions.
  3. Maintain a formula-notebook for Algebra, Geometry, Mensuration, and Statistics.
  4. Revisit weak topics weekly; take a small mixed quiz from 2–3 chapters.
  5. Before exams, revise unit-wise weightage and prioritize high-yield chapters.

Key formulas to remember (quick glance)

  • Polynomials: If (x – a) is a factor of (p(x)), then (p(a) = 0) (Factor Theorem).
  • Coordinate Geometry: Distance between ((x_1,y_1)) and ((x_2,y_2)) is (sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}).
  • Linear Equations: Any point on line (ax + by + c = 0) satisfies the equation.
  • Triangles: Angle sum property ( riangle ABC): (angle A + angle B + angle C = 180^circ).
  • Mensuration: Lateral/Total surface area and volume formulas for cuboid, cylinder, cone, sphere; Heron’s Formula for triangle area.
  • Statistics: Mean, median, mode of ungrouped data; frequency distributions & graphs.

Internal resources you may need next

Frequently Asked Questions

There are 15 chapters in Class 9 Maths, covering Number Systems, Algebra, Coordinate Geometry, Geometry, Mensuration, Statistics, and Probability. :contentReference[oaicite:3]{index=3}

Geometry typically has the highest share in summative assessments, followed by Algebra and Mensuration. See the unit-wise table above for a commonly referenced breakdown. :contentReference[oaicite:4]{index=4}

Yes—study the textbook thoroughly, practice all NCERT exercises, and consolidate with exemplar questions. Our solution pages provide step-wise methods aligned with CBSE marking.

Open any chapter link above. Each page lists Exercise 1.1, 1.2, … or respective exercise sets for that chapter for quick navigation. :contentReference[oaicite:5]{index=5}