Get complete, chapter-wise RD Sharma Class 9 Maths Solutions aligned with the latest CBSE/NCERT syllabus (2025–26). Each answer is written in clear steps to help you understand concepts, master methods, and present solutions neatly in exams. These solutions complement NCERT textbooks and are ideal for school tests, board exam skills, and competitive exam foundations.
- Quick Summary
- Detailed Explanation
- RD Sharma Class 9 – Chapter-wise Solutions
- How to Use These Solutions Effectively
- Example or Analogy
- Important Formulas / Facts
- Quick Quiz (2 Questions)
- Answer Key
- FAQs
What are RD Sharma Class 9 Solutions?
RD Sharma is known for exhaustive practice. Our NCERTBooks.net version keeps the good parts—varied question types, gradual difficulty, and detailed working—but explains them using a student-friendly voice. You’ll see how to start a question, which identity/theorem to choose, and how to structure the final presentation to score full marks. Use these solutions after you read the NCERT chapter; then return to RD Sharma for depth and speed.
RD Sharma Class 9 – Chapter-wise Solutions
Click a chapter to open step-by-step answers. (All links are internal to NCERTBooks.net or NCERT official.)
| # | Chapter | What You’ll Master | Open |
|---|---|---|---|
| 1 | Number Systems | Rational/irrational numbers, real number line | View |
| 2 | Exponents of Real Numbers | Laws of indices, scientific notation | View |
| 3 | Rationalisation | Removing surds from denominator | View |
| 4 | Algebraic Identities | \((a\pm b)^2,\ a^2-b^2,\ (a+b)^3\) etc. | View |
| 5 | Factorisation of Algebraic Expressions | Grouping, identities, common factor | View |
| 6 | Factorisation of Polynomials | Remainder/Factor theorem intro | View |
| 7 | Introduction to Euclid’s Geometry | Postulates, axioms, definitions | View |
| 8 | Lines and Angles | Parallel lines, angle pairs | View |
| 9 | Triangle and its Angles | Angle sum, exterior angle theorem | View |
| 10 | Congruent Triangles | SSS, SAS, ASA, RHS criteria | View |
| 11 | Coordinate Geometry | Cartesian plane, plotting points | View |
| 12 | Heron’s Formula | Area of triangles via sides | View |
| 13 | Linear Equations in Two Variables | Graphing, solutions as ordered pairs | View |
| 14 | Quadrilaterals | Parallelogram properties, proofs | View |
| 15 | Areas of Parallelograms & Triangles | Equal base/height relations | View |
| 16 | Circles | Chords, arcs, angles | View |
| 17 | Constructions | Basic constructions with compass & ruler | View |
| 18 | Surface Areas & Volume of Cuboid/Cube | CSA/TSA/Volume for cuboid & cube | View |
| 19 | Surface Areas & Volume of Cylinder | CSA/TSA/Volume of cylinder | View |
| 20 | Surface Areas & Volume of Cone | CSA/TSA/Volume of cone | View |
| 21 | Surface Areas & Volume of Sphere | Surface area & volume of sphere/hemisphere | View |
| 22 | Tabular Representation of Statistical Data | Frequency tables, class intervals | View |
| 23 | Graphical Representation of Statistical Data | Bar graphs, histograms | View |
| 24 | Measures of Central Tendency | Mean, median, mode (ungrouped) | View |
| 25 | Probability | Experimental probability basics | View |
How to Use These Solutions Effectively
- 1) Read NCERT first: get core definitions, theorems, and solved examples.
- 2) Attempt RD Sharma questions yourself: mark the ones you couldn’t finish.
- 3) Open our solution: study the method flow: what to write first, which identity, how to conclude.
- 4) Re-solve without looking: build speed and accuracy for exams.
- 5) Weekly review: list weak topics (e.g., identities, constructions) and revisit.
Example or Analogy
Think of maths practice like cricket nets. NCERT is the basic drills; RD Sharma is extended nets with tougher deliveries. The more balls you face (varied problems), the better your footwork (methods) and timing (speed) on exam day.
Important Formulas / Facts
\( (a+b)^2 = a^2 + 2ab + b^2,\quad (a-b)^2 = a^2 – 2ab + b^2,\quad a^2-b^2=(a-b)(a+b) \)
\( \text{Area}_{\triangle} = \sqrt{s(s-a)(s-b)(s-c)},\quad s=\tfrac{a+b+c}{2} \) (Heron’s formula)
\( \text{TSA}_{\text{cylinder}} = 2\pi r(h+r),\ \text{Vol}_{\text{cylinder}}=\pi r^2 h;\ \text{TSA}_{\text{cone}}=\pi r(l+r),\ \text{Vol}_{\text{cone}}=\tfrac13\pi r^2 h \)
\( \text{SA}_{\text{sphere}}=4\pi r^2,\quad \text{Vol}_{\text{sphere}}=\tfrac{4}{3}\pi r^3 \)
\( \bar{x}=\dfrac{\sum x_i}{n},\quad \text{Median (odd)}=x_{\frac{n+1}{2}},\quad \text{Mode}= \text{most frequent value} \)
Quick Quiz (2 Questions)
- Factorise \( x^2 – 9x + 20 \) using identities or splitting the middle term.
- A right circular cylinder has radius \( r=3\text{ cm} \) and height \( h=7\text{ cm} \). Find its total surface area (TSA).
Answer Key
- \( x^2 – 9x + 20 = (x-5)(x-4) \).
- \( \text{TSA}=2\pi r(h+r)=2\pi\cdot 3\,(7+3)=60\pi\ \text{cm}^2 \).
Related NCERT Resources (Official & Internal)
| Resource | Open |
|---|---|
| NCERT Solutions for Class 9 (All Subjects) | Explore |
| NCERT Class 9 Maths Textbook (Latest Edition) | NCERT e-Text |
| CBSE Sample Papers for Class 9 (Maths & Science) | Maths | Science |
FAQs
Are these RD Sharma Class 9 solutions aligned with the latest 2025–26 syllabus?
Yes. The chapter order and coverage are mapped to the current CBSE/NCERT framework and typical RD Sharma sequence for Class 9. Use alongside your NCERT textbook for best results.
Is RD Sharma enough for my school exams?
Finish NCERT first, then practice with RD Sharma to build depth. Add sample papers and PYQs for exam pattern and time management.
Where can I get official Class 9 Maths PDFs?
Download from the official NCERT portal: ncert.nic.in/textbook. We also link class-wise resources above.