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

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

Edited By Irshad Anwar | Updated on May 01, 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.

This Story also Contains
  1. Weightage of Class 9 Subject Wise
  2. NCERT Notes for Class 9
  3. NCERT Notes For Class 10
  4. NCERT Notes for Class 11
  5. NCERT Notes for Class 12
  6. Benefits of NCERT Notes
NCERT Notes Class 9 to 12 for Quick Revision, Important Formulas, Examples
NCERT Notes Class 9 to 12 for Quick Revision, Important Formulas, Examples

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.

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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

UnitTopics IncludedMarks
Number SystemsReal numbers, exponents10
AlgebraPolynomials, linear equations20
Coordinate GeometryCartesian plane, plotting points04
GeometryTriangles, circles, and quadrilaterals27
MensurationArea, volume, surface area13
StatisticsData interpretation, mean, median06
Total
80

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

Science

UnitTopics IncludedMarks
MatterStates of matter, atoms, and molecules25
Living WorldCells, tissues, and diversity in organisms22
Motion, Force & WorkLaws of motion, energy, and sound27
Food ProductionCrop improvement, animal husbandry06
Total
80

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

Social Science

SectionTopics IncludedMarks
HistoryFrench Revolution, Nazism20
GeographyClimate, drainage, and natural vegetation20
CivicsDemocracy, electoral politics20
EconomicsPoverty, food security20
Total
80

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

English

SectionTopics IncludedMarks
ReadingUnseen passages, comprehension22
WritingLetters, essays, and story writing22
GrammarTenses, modals, and reported speech10
LiteratureProse, poetry, supplementary reader26
Total
80

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

Hindi

SectionTopics IncludedMarks
ReadingUnseen passages10
WritingEssay, letter, application20
Grammarवाच्य, समास, मुहावरे16
Literatureक्षितिज, 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 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 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 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 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.

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.

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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

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 3.8×107 J 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

 

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

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

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 .

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

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.

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.

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

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

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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