NCERT Notes Class 9 to 12 for Quick Revision, Important Formulas, Examples

NCERT
NCERT Notes Class 9 to 12 for Quick Revision, Important Formulas, Examples

NCERT Notes Class 9 to 12 for Quick Revision, Important Formulas, Examples

Irshad AnwarUpdated on 01 May 2025, 11:12 AM IST

NCERT Notes Class 9 to 12 for Quick Revision, Important Formulas, Examples are made for quick revision. It provides chapter-wise summaries as per the curriculum and is designed to simplify learning for students from classes 9 to 12. These notes help revise, improve understanding and are extremely useful during exam preparation. They include all the important concepts, definitions, formulas, and key points in an easy-to-understand format.

NCERT Solutions and revision notes for all the classes and subjects are handy and are beneficial to save you time. Understanding the chapters is essential for comprehending the topics and their questions and answers. NCERT are available in an easy-to-understand format, which helps students understand key concepts quickly and effectively. Download the CBSE Notes for Class 9-12 to use them offline anywhere. Students must go through each topic of all the chapters and subjects as easily and effectively as possible with the help of these notes.

Weightage of Class 9 Subject Wise

Being aware of the subject-wise weightage for the 9th standard is highly essential for students to organise their studies properly. It makes them realise which chapters are more marked and need to be given more emphasis, making time management better while preparing. By being conscious of the weightage, students can give more importance to significant topics, decrease stress during exams, and enhance overall performance in board exams.

Total Marks: 100 (Theory: 80 | Internal: 20)
Passing Criteria: 33% overall (≥27/80 in theory + ≥7/20 in internal).

Mathematics

Unit	Topics Included	Marks
Number Systems	Real numbers, exponents	10
Algebra	Polynomials, linear equations	20
Coordinate Geometry	Cartesian plane, plotting points	04
Geometry	Triangles, circles, and quadrilaterals	27
Mensuration	Area, volume, surface area	13
Statistics	Data interpretation, mean, median	06
Total		80

Key Focus: Geometry (27 marks), Algebra (20 marks).
Internal Assessment: 20 marks (periodic tests, projects, notebook submission).

Science

Unit	Topics Included	Marks
Matter	States of matter, atoms, and molecules	25
Living World	Cells, tissues, and diversity in organisms	22
Motion, Force & Work	Laws of motion, energy, and sound	27
Food Production	Crop improvement, animal husbandry	06
Total		80

Top Chapters: Motion (Ch. 7-9), Matter (Ch. 1-4).
Internal Assessment: 20 marks (practicals, lab work, projects).

Social Science

Section	Topics Included	Marks
History	French Revolution, Nazism	20
Geography	Climate, drainage, and natural vegetation	20
Civics	Democracy, electoral politics	20
Economics	Poverty, food security	20
Total		80

Internal Assessment: 20 marks (projects, map work, assignments).

English

Section	Topics Included	Marks
Reading	Unseen passages, comprehension	22
Writing	Letters, essays, and story writing	22
Grammar	Tenses, modals, and reported speech	10
Literature	Prose, poetry, supplementary reader	26
Total		80

Key Focus: Literature (26 marks), Writing (22 marks).
Internal Assessment: 20 marks (speaking/listening tests, projects).

Hindi

Section	Topics Included	Marks
Reading	Unseen passages	10
Writing	Essay, letter, application	20
Grammar	वाच्य, समास, मुहावरे	16
Literature	क्षितिज, स्पर्श (prose, poetry)	34
Total		80

Internal Assessment: 20 marks (oral exams, projects).

Exam Pattern Highlights

Theory Paper: 3 hours, 80 marks (MCQs, short/long answers).
Internal Assessment: Includes periodic tests (10 marks), notebooks (5 marks), and projects (5 marks).
Passing Marks: Minimum 27/80 in theory and 7/20 in internal.

Along with the NCERT notes, students can also refer to

NCERT Solutions	NCERT Exemplar Solutions
NCERT Solution Class 9	NCERT Solution Class 10
NCERT Solution Class 11	NCERT Solution Class 12

NCERT Notes for Class 9

The notes cover subjects like science and maths. The NCERT notes for class 9 help students build strong concepts and help them remember key topics before exams.

NCERT Notes for Class 9 Science

NCERT Notes for Class 9 Maths

NCERT Notes For Class 10

The notes are written in a way that they align with the board exam pattern. The class 10 NCERT notes offer point-wise explanations of textbook chapters, highlight important terms and provide a focused preparation for the board exams.

NCERT Notes for Class 10 Science

NCERT Notes for Class 10 Maths

NCERT Notes for Class 11

The notes provide topic-wise summaries for subjects like physics, chemistry, biology, and maths. The NCERT notes for class 11 simplify complex topics and are great for last-minute revision for unit tests or finals.

NCERT Notes for Class 11 Maths	NCERT Notes for Class 11 Physics
NCERT Notes for Class 11 Chemistry	NCERT Notes for Class 11 Biology

NCERT Notes for Class 12

The notes are written for board exams and competitive exams like JEE, NEET and CUET. The NCERT notes for class 12 include diagrams, formulas, definitions and key explanations that help students remember important information efficiently.

NCERT Notes for Class 12 Maths	NCERT Notes for Class 12 Physics
NCERT Notes for Class 12 Chemistry	NCERT Notes for Class 12 Biology

Benefits of NCERT Notes

1. The notes are ideal for last-minute preparations before exams.

2. The large and difficult chapters are written as short and easy-to-understand summaries.

3. The help in a better understanding of tough concepts.

4. They highlight important points that are frequently asked in the exams.

5. They are available in PDF format as free online resources.

Also Read

NCERT Syllabus	NCERT Books
NCERT Books for Class 9	NCERT Syllabus Class 9
NCERT Books for Class 10	NCERT Syllabus Class 10
NCERT Books for Class 11	NCERT Syllabus Class 11
NCERT Books for Class 12	NCERT Syllabus Class 12

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Popular Questions

A block of mass 0.50 kg is moving with a speed of 2.00 ms^-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1) $0.34\; J$	Option 2) $0.16\; J$
Option 3) $1.00\; J$	Option 4) $0.67\; J$

Read Complete Answer

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times. Assume that the potential energy lost each time he lowers the mass is dissipated. How much fat will he use up considering the work done only when the weight is lifted up ? Fat supplies 3.8×10⁷J of energy per kg which is converted to mechanical energy with a 20% efficiency rate. Take g = 9.8 ms⁻² :

Option 1)

2.45×10⁻³ kg

Option 2)

6.45×10⁻³ kg

Option 3)

9.89×10⁻³ kg

Option 4)

12.89×10⁻³ kg

Read Complete Answer

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1) $2,000 \; J - 5,000\; J$	Option 2) $200 \, \, J - 500 \, \, J$
Option 3) $2\times 10^{5}J-3\times 10^{5}J$	Option 4) $20,000 \, \, J - 50,000 \, \, J$

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A particle is projected at 60⁰ to the horizontal with a kinetic energy $K$ . The kinetic energy at the highest point

Option 1) $K/2\,$	Option 2) $\; K\;$
Option 3) $zero\;$	Option 4) $K/4$

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In the reaction,

$2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}$

Option 1) $11.2\, L\, H_{2(g)}$ at STP is produced for every mole $HCL_{(aq)}$ consumed	Option 2) $6L\, HCl_{(aq)}$ is consumed for ever $3L\, H_{2(g)}$ produced
Option 3) $33.6 L\, H_{2(g)}$ is produced regardless of temperature and pressure for every mole Al that reacts	Option 4) $67.2\, L\, H_{2(g)}$ at STP is produced for every mole Al that reacts .

Read Complete Answer

How many moles of magnesium phosphate, $Mg_{3}(PO_{4})_{2}$ will contain 0.25 mole of oxygen atoms?

Option 1) 0.02	Option 2) 3.125 × 10^-2
Option 3) 1.25 × 10^-2	Option 4) 2.5 × 10^-2

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If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1) decrease twice	Option 2) increase two fold
Option 3) remain unchanged	Option 4) be a function of the molecular mass of the substance.

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With increase of temperature, which of these changes?

Option 1) Molality	Option 2) Weight fraction of solute
Option 3) Fraction of solute present in water	Option 4) Mole fraction.

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Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol^-1) is

Option 1) twice that in 60 g carbon	Option 2) 6.023 × 10²²
Option 3) half that in 8 g He	Option 4) 558.5 × 6.023 × 10²³

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A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t²) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m² , the number of rotations made by the pulley before its direction of motion if reversed, is