Class 12 (XII-Twelve) Syllabus NCERT Books Notes NCERT Solutions Answers Practice Questions

NCERT Books for Class 12 all Subjects

Download NCERT Books for Class XII Mathematics, Physics, Chemistry, Biology and all other subjects in PDF form. All chapters of NCERT books are given as a separate links.

NCERT BOOKS FOR CLASS 12 MATHEMATICS

NCERT BOOKS FOR CLASS 12 MATHEMATICS – HINDI MEDIUM

गणित (भाग 1 तथा भाग 2)

NCERT BOOKS FOR CLASS 12 PHYSICS

NCERT BOOKS FOR CLASS 12 PHYSICS – HINDI MEDIUM

भौतिकी (भाग 1 तथा भाग 2)

NCERT BOOKS FOR CLASS 12 CHEMISTRY

NCERT BOOKS FOR CLASS 12 CHEMISTRY – HINDI MEDIUM

रसायन (भाग 1 तथा भाग 2)

NCERT BOOKS FOR CLASS 12 BIOLOGY IN PDF

NCERT BOOKS FOR CLASS 12 BIOLOGY IN HINDI MEDIUM

जीव विज्ञान

 

NCERT BOOKS FOR CLASS 12 ENGLISH (CORE)

Flamingo – Prose

Flamingo – Poetry

Vistas – Supplementary Reader

Class 11 (XI-Eleven) Syllabus NCERT Books Notes NCERT Solutions Answers Practice Questions

NCERT BOOKS FOR CLASS 11 MATHS (ENGLISH MEDIUM)

NCERT BOOKS FOR CLASS 11 गणित (HINDI MEDIUM)

NCERT REVISION BOOKS CLASS 11 MATHS

NCERT BOOKS FOR CLASS 11 PHYSICS (ENGLISH MEDIUM)

NCERT BOOKS FOR CLASS 11 PHYSICS (HINDI MEDIUM)

भौतिकी (भाग 1 तथा भाग 2)

NCERT BOOKS FOR CLASS 11 CHEMISTRY (ENGLISH MEDIUM)

NCERT BOOKS FOR CLASS 11 CHEMISTRY (HINDI MEDIUM)

रसायन (भाग 1 तथा भाग 2)

NCERT BOOKS FOR CLASS 11 BIOLOGY (ENGLISH MEDIUM)

NCERT BOOKS FOR CLASS 11 BIOLOGY (HINDI MEDIUM)

जीव विज्ञान

NCERT BOOKS FOR CLASS 11 ENGLISH (CORE COURSE)

Hornbill (Core Course)

READING SKILLS
WRITING SKILLS

Snapshots (Core Course)

SUPPLEMENTARY READER

Class 10 (X-Ten) Syllabus NCERT Books Notes NCERT Solutions Answers Practice Questions

NCERT Books for Class 10

CLASS 10 MATHS BOOKS (ENGLISH MEDIUM)

 

Class 10 Maths Books (Hindi Medium)

CLASS 10 SCIENCE BOOKS (ENGLISH MEDIUM)

 

Class 10 Science Books (Hindi Medium)

CLASS 10 SOCIAL SCIENCE NCERT BOOK ENGLISH MEDIUM

History (India and The Contemporary World – II)

 

Geography (Contemporary India – II)

Political Science (Democratic Politics -II)

Economics (Understanding Economic Development)

Click here to download Class 10 Social Science NCERT Solutions

CLASS 10 SOCIAL SCIENCE NCERT BOOK HINDI MEDIUM

 

इतिहास (भारत और समकालीन विश्व – II)

भूगोल (समकालीन भारत – II)

 

राजनीति विज्ञान (लोकतांत्रिक राजनीति -II)

अर्थशास्त्र (आर्थिक विकास की समझ)

CLASS 10 ENGLISH NCERT TEXTBOOK

First Flight

Chapter 1. A Letter to God
Chapter 2. Nelson Mandela:Long Walk to Freedom
Chapter 3. Two Stories about Flying
Chapter 4. From the Diary of Anne Frank
Chapter 5. The Hundred Dresses–I
Chapter 6. The Hundred Dresses–II
Chapter 7. Glimpses of India
Chapter 8. Mijbil the Otter
Chapter 9. Madam Rides the Bus
Chapter 10. The Sermon at Benares
Chapter 11. The Proposal

 

FOOTPRINTS WITHOUT FEET

Chapter 1. A Triumph of Surgery
Chapter 2. The Thief’s Story
Chapter 3. The Midnight Visitor
Chapter 4. A Question of Trust
Chapter 5. Footprints without Feet
Chapter 6. The Making of a Scientist
Chapter 7. The Necklace
Chapter 8. The Hack Driver
Chapter 9. Bholi
Chapter 10. The Book That Saved the Earth

INTERACT IN ENGLISH – LITERATURE READER
A Textbook for English Course (Communicative) – Friction (Prose)
POETRY

 

DRAMA
INTERACT IN ENGLISH – MAIN COURSE BOOK (MCB)
LONG READING TEXT – NOVELS

CLASS 10 HINDI NCERT BOOKS – COURSE A

Hindi – Course A – NCERT Book

KRITIKA – कृतिका
KSHITIJ – क्षितिज

CLASS 10 HINDI NCERT BOOKS – COURSE B

स्पर्श (पद्य)

 

स्पर्श(गद्य )

Sanchayan

 

NCERT BOOKS FOR CLASS 10 SANSKRIT

शेमुषी

व्याकरणवीथिः

Class 9 (IX-Nine) Syllabus NCERT Books Notes NCERT Solutions Answers Practice Questions

NCERT Books for Class 9 All Subjects in PDF

Download NCERT books for class 9 all subjects for High Secondary (High School NCERT Books for UP Board Also) in Hindi Medium. All books are given below in separate chapters. NCERT solutions are also available to download in PDF form.

NCERT BOOKS FOR CLASS 9 MATHS – ENGLISH/HINDI/GUJRATI MEDIUM

 

 

 

NCERT BOOKS FOR CLASS 9TH MATHS (GANIT) – HINDI MEDIUM

 

NCERT EXEMPLAR BOOKS FOR 9TH CLASS MATHS – ENGLISH MEDIUM

 

Chapter 1: Number Systems
Chapter 2: Polynomials
Chapter 3: Coordinate Geometry
Chapter 4: Linear Equations in Two Variables
Chapter 5: Introduction to Euclid’s Geometry
Chapter 6: Lines and Angles
Chapter 7: Triangles
Chapter 8: Quadrilaterals
Chapter 9: Areas of Parallelograms and Triangles
Chapter 10: Circles
Chapter 11: Constructions
Chapter 12: Heron’s Formula
Chapter 13: Surface Areas and Volumes
Chapter 14: Statistics and Probability

Visit to NCERT Exemplar for class 9 Maths Main page

 

NCERT EXEMPLAR BOOKS FOR 9TH CLASS MATHS (GANIT) – HINDI MEDIUM

 

NCERT BOOKS FOR CLASS 9 SCIENCE – ENGLISH/GUJRATI MEDIUM

 

NCERT BOOKS FOR CLASS 9 SCIENCE – HINDI MEDIUM

 

NCERT BOOKS FOR CLASS 9 SOCIAL SCIENCE – ENGLISH MEDIUM

India and the Contemporary World – 1 (History)

 

Contemporary India – 1 (Geography)

Democratic Politics – I (Political Science)

Economics

 

NCERT BOOKS FOR CLASS 9 SOCIAL SCIENCE (सामाजिक विज्ञान) – HINDI MEDIUM

भारत और समकालीन विश्व – 1 (इतिहास)

समकालीन भारत – 1 (भूगोल)

लोकतांत्रिक राजनीति (राजनीति विज्ञान)

अर्थशास्त्र

NCERT BOOKS FOR CLASS 9 HINDI (COURSE A & B) – कक्षा 9 हिंदी

क्षितिज भाग 1 (‘अ’ पाठयक्रम)

गद्य-खंड

 

काव्य-खंड

कृतिका भाग 1 (‘अ’ पाठयक्रम)

संचयन भाग १ (‘ब’ पाठयक्रम)

स्पर्श भाग १ (‘ब’ पाठयक्रम)

गद्य खंड

स्पर्श भाग १ (‘ब’ पाठयक्रम)

काव्य खंड

 

 

NCERT BOOKS FOR CLASS 9 ENGLISH

Beehive

Moments – Supplementary Reader

 

NCERT BOOKS FOR CLASS 9 SANSKRIT

शेमुषी

व्याकरणवीथिः

Class 8 (VIII-Eight) Syllabus NCERT Books Notes NCERT Solutions Answers Practice Questions

NCERT books for class 8

Download NCERT Textbook for 8th class Maths, Science, S. St. (History, Geography, Civics), Hindi & English in PDF form. Hindi Medium books are also given to download. Download 8 Maths Solutions App or 8 गणित के हल App, which work offline without internet

NCERT BOOKS FOR CLASS 8 MATHS – ENGLISH MEDIUM

NCERT BOOKS FOR CLASS 8 MATHS – HINDI MEDIUM

Download 8 Maths Solutions App or 8 गणित के हल App, which work offline without internet

NCERT EXEMPLAR BOOKS FOR CLASS 8 MATHS

 

NCERT BOOKS FOR CLASS 8 SCIENCE – ENGLISH MEDIUM

NCERT BOOKS FOR CLASS 8 SCIENCE – HINDI MEDIUM

 

NCERT BOOKS FOR CLASS 8 ENGLISH

Honeydew

It So Happened… – Supplementary Reader

NCERT BOOKS FOR CLASS 8 HINDI

Vasant

Durva

 

Bharat Ki Khoj

NCERT BOOKS FOR CLASS 8 SANSKRIT (रूचिरा – तृतीयो भागः)

NCERT BOOKS FOR CLASS 8 SOCIAL SCIENCE – ENGLISH MEDIUM

History (Our Pasts – III) (Part 1 & 2)

 

Geography (Resources and Development)

Civics (Social and Political Life – III)

 

NCERT BOOKS FOR CLASS 8 SOCIAL SCIENCE – HINDI MEDIUM

इतिहास (हमारे अतीत – III) (भाग १ और भाग २)

 

भूगोल (संसाधन एवं विकास)

सामाजिक एवं राजनितिक जीवन – III

Class 7 (VII-Seven) Syllabus NCERT Books Notes NCERT Solutions Answers Practice Questions

NCERT books for Class 7 All Subjects (English & Hindi Medium)

The below mentioned list sows NCERT books for class 7 Maths, Science, Social Science, Hindi and English books in PDF form. English and Hindi medium books are given separately. You can read here or download for reference.

NCERT TEXTBOOKS FOR CLASS 7 MATHS – ENGLISH MEDIUM

 

NCERT TEXTBOOKS FOR CLASS 7 MATHS (गणित) – HINDI MEDIUM

NCERT EXEMPLAR BOOKS FOR CLASS 7 MATHS – ENGLISH MEDIUM

 

NCERT TEXTBOOKS FOR CLASS 7 SCIENCE – ENGLISH MEDIUM

 

NCERT TEXTBOOKS FOR CLASS 7 SCIENCE (विज्ञान) – HINDI MEDIUM

NCERT TEXTBOOKS FOR CLASS 7 SOCIAL SCIENCE – ENGLISH MEDIUM

History (Our Pasts II)

 

Geography (Our Environment)

Political Science

 

NCERT TEXTBOOKS FOR CLASS 7 SOCIAL SCIENCE (सामाजिक विज्ञान) – HINDI MEDIUM

हमारा पर्यावरण (भूगोल)

हमारे अतीत – 2 (इतिहास)
समकालीन और राजनितिक जीवन – 2 (राजनितिक विज्ञान)

NCERT TEXTBOOKS FOR CLASS 7 HINDI (DURVA AND VASANT PART 2)

 

दूर्वा भाग – २

वसंत भाग – २

बाल महाभारत कथा

 

NCERT TEXTBOOKS FOR CLASS 7 ENGLISH (HONEYCOMB & THE ALIAN HAND)

Honeycomb

The Alien Hand

Class 6 (VI-Six) Syllabus NCERT Books Notes NCERT Solutions Answers Practice Questions

CBSE Class 6 (VI-Six) Science Syllabus

NCERT Books for Class 6 (VI-Six) PDF Download

NCERT Books for Class 6 All Subjects

NCERT TEXTBOOKS FOR 6TH CLASS MATHS (Text Book PDF / Notes  / NCERT Solutions)

NCERT BOOKS FOR CLASS 6 MATHS (गणित) – HINDI MEDIUM

NCERT TEXTBOOKS FOR 6TH CLASS MATHS EXEMPLAR PROBLEMS

NCERT EXEMPLAR FOR 6TH CLASS MATHS (गणित) – HINDI MEDIUM

NCERT TEXTBOOKS FOR 6TH CLASS SCIENCE

NCERT BOOKS FOR CLASS 6 SCIENCE (विज्ञान) – HINDI MEDIUM

NCERT TEXTBOOKS FOR 6TH CLASS HINDI

Vasant Bhag 1 (वसंत भाग 1)

Doorva Part – 1 (दूर्वा भाग 1)

 

बाल रामकथा – Bal RamKatha

NCERT BOOKS FOR CLASS 6 ENGLISH

Honeysuckle

A Pact with the Sun – Supplementary Reader

Click Here to Download NCERT Solutions Class 6 English in PDF

NCERT BOOKS FOR CLASS 6 SANSKRIT

रुचिरा – प्रथमो भागः

NCERT BOOKS FOR CLASS 6 SOCIAL SCIENCE

History – Our Pasts Part I

Geography – The Earth Our Habitat Part I

Political Science – Our social and political life Part I

 

NCERT BOOKS FOR CLASS 6 SOCIAL SCIENCE – HINDI MEDIUM

इतिहास – हमारे अतीत – I

भूगोल – पृथ्वी: हमारा आवास

CBSE Class 6 Science Syllabus Papers

CBSE Class 6 Science:

                 CBSE Class 6 Science syllabus can be widely classified as follows:

They are:

  1. Food
  2. Materials
  3. The world of living
  4. Moving things, people and ideas
  5. How things work
  6. Natural resources

The above topics are in detail below:

 

  • Food:

         Any typical food which we eat contains different ingredients which come from different sources such as plants and animals. Plants are the sources of vegetables, seeds, oil, fruits, etc whereas animals are the sources of dairy products, milk, meat and eggs.

       The subtopics which are covered under this chapter are Components of food, sources of food and cleaning food.

Sources of food:

                 This topic covers what are the various sources of food that animals depend upon. What do the animals eat? Plant parts and animal products are the some examples of sources of foods.

As we all know, food is an essential thing for all kinds of living organisms. Every organism depends on other organism for making their food. For example, larger animals depend on smaller organism for their food, similarly human beings depend on animals for their food.

Plant food products:

                 Plant food products are the different types of food we get from the plants. Plant is the major source of food for vegetables, fruits, seeds and oils. Few of those examples are

Roots: We consume plant roots in the form of carrot, turnips, radish and beetroot.

Flowers: We consume flowers in the form of cauliflower, flowers of pumpkin and few kinds of roses are used to make edible oils.

Stem:

         We eat stem related source of foods from plants such as coriander, sugarcane, potatoes, etc.,

Fruits:

             We get many different types of fruits like fleshy or dry fruits. Fruits like mango, guava, orange, and apple are the important source of food from the plants.

Seeds:

           We eat grains, pulses, ground nuts which are the important sources of foods in the form of seeds from the plants.

Leaves:

       We eat leafy vegetables such as spinach, cabbage, curry leaves which are rich in calcium and vitamins.

Animal food products:

      Just like plants, animals also make many kinds of foods that are very helpful for the human beings.

Milk:

           Animals such as cow, goat, and buffalo are tamed in their own farms to produce milk from them. This is a rich source of food which is rich in calcium.

Eggs:

           Birds like hen, duck are tamed and reared in their poultry farms for their eggs which is rich in protein.

Meat:

       Animals such as goat, cow, pig, duck, sheeps are tamed to get flesh from them which is called as meat.

Dairy products:

         Not only milk, but also other dairy products are made from the milk of animals such as cow, buffalo, donkey, goat, etc.,

Sea food:

       Sea foods like fish, prawns, and crabs are also highly used foods for the human consumption.

Honey:

        This is a product which is obtained from the Honey bee. Honey collects nectar from various fruits and flowers. Such nectars are collected together to form honey.

Components of food:

       Any healthy food consists of six important nutrients such as carbohydrates, fats, vitamins, protein, minerals and water. These nutrients are much necessary to perform various metabolic activities.

Carbohydrates:

               Carbohydrates are the compounds of carbon, hydrogen and oxygen and provide instant energy for the human body. Examples: rice, jowar, grains, etc.,

Proteins:

           They are formed by the compounds such as carbon, hydrogen, oxygen and nitrogen. Protein is required to repair and damage the broken cells in the human body. Example: egg, milk, cheese, etc.,

Fats are made up of carbon, oxygen and hydrogen. Fat protects the skin from the rapid loss of heat. Example: Cheese, butter, oil, ghee Vitamins are the chemical substances that help in maintaining a healthy body. Example: Lemon, oranges, tomatoes, etc.,

Examples:

  1. Tiger is _______ animal since it eats only meat

Answer: carnivore

  1. Name two foods that are rich in starch.

Answer: Butter and Groundnuts

 

  • Materials:

         This chapter covers the various topics such as different types of cloth materials, types of plant fibres, and some concepts such as why candle shortens when lighten up, how does salt gets dissolved in a cup of water, etc.,

Fibres:

           Cloth is a basic necessity for any human being to protect his body from the external environment. Such cloths are made up of different fabric materials such as wool, fibre, silk, leather, etc.,

Fibres are of two types such as natural fibre and synthetic fibre. Natural fibre are made from the natural sources of plants and animals such as cotton, jute, silk and wool. Synthetic fibre are man-made fibres which are not obtained from any plants and animals. Example: Nylon, polyster, etc.,

Properties of materials:

           Every material has different property and nature. For example:

Metals:

   Most of the metals are lustrous and shiny in nature. Thus, they are used in jewellery making. For example: Gold, silver, etc.,

Cotton:

               The materials such as cotton or sponge are soft by nature. Thus they are used in making sarees, toys and other soft materials.

Plastics:

           The nature of material is light and transparent sometimes. Thus, they are used in making bottles, jugs, play sets, etc.,

Wood:

         This type of materials is opaque in nature which do not allow light to pass through them. Thus, cupboards are made up of wood.

Examples:

  1. State true or false:
  • Is yarn made up of fibres?

             Answer: True

  1. Name any two items that are made from the coconut fibre?

Answer: Bags and ropes

 

  • The world of living:

             This chapter covers the topics such as living and non-living beings characteristics, habitat of the living organisms and morphological structure and function of plants, bones and skeleton system of human beings.

Getting to know the plants:

                 Plants can be classified into different types according to their size and nature. They are as

Herbs:

         Herbs are usually short and have a short period of life. They are mainly used in medicine to cure specific diseases.

Shrub:

             This is taller than herb which lives for longer years. Examples are sunflower, rosemary, etc.,

Tree:

           This is a woody plant that has many stems and branches. They prevent soil erosion, maintain carbon dioxide content in the air, and provide us wood and other materials to build up huts and houses. Creepers are the weak plants which cannot stand straight. They grow horizontally on the ground and live for very short period of time.

Body movements:

               Human beings are able to move from one place to another with the help of their muscles, joints and limbs. Thus, the parts in detail

Joint:

       Joint is a point at which two separate bones meet. There are three types of joints in the human beings such as fixed or immovable joints, slightly movable joints and freely movable joints.

Bones and skeleton:

           Bones provide support to the structures in the body whereas Skeleton system of a human body is an internal framework of all the bones and cartilage in the human body.

Living organisms and the surroundings:

                  There are different types of atmosphere and seasons to which all kinds of living organisms must adapt.

Habitat:

               Habitat of an organism is its immediate surroundings. There are two types of habitat such as Terrestrial habitat (Forest, grasslands, desserts, etc) and Aquatic habitat (Freshwater, ponds, lakes, etc.)

Adaptations:

             The ability of any organism to adjust itself to the type of the surroundings is called as adaptation.

Characteristics of a living organisms:

         All kinds of living organism require certain characteristics of life. They are they require food to exhibit growth, need to move, need to excrete, respire, reproduce and die.

These are the basic characteristics of any kind of living organism.

Examples:

  1. State true or false?
  • The movement and locomotion of all kinds of animals are exactly same?

Answer: False

  1. Which of the skull bones are movable

Answer: Lower jaw

 

  • Moving things, people and ideas:

            This covers the topics such as need to measure the length and motion as change in the position of time.

Measuring length and its accuracy:

                 Length is a basic physical quantity which can be measure with the help of a scale and ruler. Length of a straight line can be measured with the help of a ruler whereas the curved line can be measured with the help of a non-stretchable string. In these ways you can measure any kind of object accurately.

Transportation and distances:

               Moving from one place to another is called as transportation. Before walking was only means of transport which later developed into trains, cars, buses as the means of transportation. Nowadays, any kind of distances and lengths are covered with help of different means of transports.

Examples:

  1. One meter ___ in cm.

Answer: 100 cm

  1. The height of a person is 1.65m. Express in cm and mm.

Answer: 165 cm and 1650 mm

 

  • How things work:

       This chapter covers the topics such as conductors, insulators, components of an electric current, magnet, poles of an magnet, etc.,

Electric circuit:

             Electricity basically needs a path to flow from the positive terminal to negative terminal of an electric cell. A connection which forms a path for this flow of electric current is called as electric circuit.

Conductors and insulators:

                   Materials that do not allow electricity to pass through them is called as insulators whereas materials which allow electric current to pass through them is called as conductors.

Example for insulators: Distilled water which means water at its purest form

Example for conductors: Tap water which means water with impurities

Properties of a magnet:

                   Substances which possess the property of attracting iron is called as magnet. The two ends of a magnet is called as poles which is called as north and south pole.

The properties of a magnet can be stated below as:

  1. A Magnet attracts magnetic materials towards itself
  2. Unlike poles attract each other whereas like poles repel each other
  3. When a bar magnet is rubbed over an iron bar, it changes the iron bar into magnet.

Examples:

  1. A device that is used to break an electric circuit is _____

Answer: Switch

  1. Paper is not a _______ material.

Answer: Magnetic

 

  • Natural resources:

                 This chapter covers the topics such as natural calamities, conservation of water, forests, importance of water, etc.,

Natural calamities:

             Natural calamities such as heavy rainfall, thunder, cyclone, flood and drought are the uncontrolled conditions which affect the areas of earth.

Floods:

       Floods cause heavy loss to the human beings by uprooting crops, shelter, trees and so on.

Rainfall:

           A heavy rainfall may result in flood which is as said above is a disastrous natural calamity.

Drought:

             Drought is condition which has made the areas dry without rainfall and water. This is also a serious issue which may cause more deaths in the affected areas.

Conservation of water:

                 Water is a basic and important source for life and no life exist without water. Thus waters must be conserved in the following ways such as

  1. Avoid unnecessary water wastage
  2. Drinking water should not be used to water the plants
  3. Water bodies should be kept clean and must not be polluted.
  4. Destruction of trees must be avoided
  5. Every house must have implemented rain water harvesting system

     Examples:

  1. Water drops appears on the outer surface of a glass containing cold water. This process is called as ________

Answer: Condensation

  1. Which gas in the atmosphere is essential for the respiration?

Answer: Oxygen

       Thus, above are the topics which are covered in the syllabus of CBSE Class 6 Science.

CBSE Class 1 Mathematics Syllabus

CBSE Class I Mathematics:

CBSE Class 1:

             CBSE Class 1 students have various subjects like Mathematics, Science, English, Computer and Hindi. Among this, let us check the details about the CBSE Mathematics below:

 

Chapters covered in CBSE Class I Mathematics:

                         Math is a very important subject to trigger the brain right from the childhood. Students get familiar with this subject right from their younger age through counting and number systems. Keeping this in mind, CBSE board has developed suitable Mathematics syllabus for every Classes. Through CBSE Class I Math, students get adapted to a sequential system of learning math which can make them to learn it comfortable. With few small examples and simple exercises, CBSE trains even the small kid to brilliantly solve the mathematical questions.

Thus, let us check the chapters covered in the CBSE Class 1 Mathematics here:

  • Shapes and Spaces:

     Students are trained to find out various shapes and sizes. In addition to this, they are trained to know the special relations such as Top, bottom, under, above, near, far, before, etc.

Example:

               Shapes like Hexagon, square, pentagon, cube, oval and various other shapes are trained through real time objects.

Exercises for this chapter:

  1. Students have to collect different objects from the surroundings such as stones, pebbles, cones, pipes and name their shapes in their notes.
  2. They are taught to observe the effects caused due to rolling and sliding of the shaped objects.
  3. Sorts and finds out the 2D objects which are made out of card board.

 

  • Number system:

     Developing the knowledge in counting and numbering systems. They are taught to count from one to hundred at this stage.

Exercises for this chapter:

  1. Counts the number of toys, dolls which are in their surroundings.
  2. Recognizes and speaks numbers from 1 to 9.
  3. Forms number sequence from 10 to 20.
  4. Knows the difference between group of tens and ones in numbering system.
  5. Writes the numerals from 11 to 19. Also, spells the numerals.

 

  • Addition and Subtraction:

             Addition and Subtraction is rather an important part in mathematics. Students are taught to add and subtract using the real objects and pictures. Learns to add and subtract the numbers upto 20. Knows the importance of Zero in addition and subtraction.

      For example:

       5+5=10

       5-5=0

 

  • Telling time:
  1. Knows the importance of time. Learns to check the events occurring earlier and later.
  2. Introduction to time. Difference between morning, afternoon, day and night.
  3. Reading the clock.
  4. Understanding which activities takes longer time.
  5. Difference between analog and digital clocks.
  6. Sequencing student activities according to the time occurrence.

Examples:

  1. The time now is 8 o’ Clock.
  2. 1 minute is equal to 60 seconds.
  3. 60 minutes is one hour.

 

  • Days, weeks, months patterns:

               Students are taught the basic things in Days, months and week patterns.

Exercises:

  1. Students are taught that there are 12 months in a year, 4 weeks in a month and each week has 7 days.
  2. Learn the names of the months and days.
  3. Exercises given to identify the month and day.

               Example:

  1. The day after Sunday is Monday.
  2. Number of days in the month of January is 31.

 

  • Money:

           Students are trained to identify common currencies and notes. Learns the importance of currency and different values of Indian currencies. Adds and subtracts few sums of money.

Example:

  1. Father has a balance of 10 rupees after he purchased shampoo for Rs.10 from the total money Rs.20.

20-10=10

 

  • Measurement:
  1. Differentiates between near, far, thick, thin, longer, shorter, high and low.
  2. Exercises are given to find out the longer and shorter distance, higher and lower prices, thicker and thinner persons, etc.

                Example:

  1. Meera is shorter than Latha with pictures.
  2. Milk is costlier than egg with pictures and numbers.

 

  • Data handling:
  1. Counting letters in a name.
  2. Grouping names with the same number of letters
  3. Counting and recognizing shapes, etc.,

                   Example:

  1. Total number of letters in “welcome” is 7.
  2. Sample of 4 letter words are “Good”, “Best”, “Baby”, etc.,
  3. There are 3 squares and 2 ovals in this picture.

These are the topics which are covered for the Class 1 CBSE students.

 

CBSE Class 3 Mathematics Syllabus

CBSE Class 3 Mathematics:

              When compared to CBSE Class 3, CBSE Class 2 Mathematics covered various simple topics on Addition, subtraction, multiplication without carry, place value in numbering system, simple division, etc., But in CBSE Class 3, next level mathematics is taught to enhance and trigger the brain of the child. For this, they have included the portions just similar to that of Class 1 and Class 2 but in little higher level. Among all the subjects of CBSE Class 3 like Mathematics, Science, Hindi and English let us check out the syllabus of Mathematics below.

 

CBSE Class 3 syllabus:

             They cover similar syllabus just like that as Class 2 and Class 1.

  • Numbers:

           Children are taught to write the series of numbers up to 9999 in Class 3. Also, they are trained to pronounce and write the compact and expanded form of such numbers.

Topics covered:

  1. Compact and expanded forms of numerals
  2. Roman numerals
  3. Ascending and descending order of the numbers
  4. Rounding off
  5. Place value
  6. Equivalent numerical names

        Examples:

  1. Fill up the missing numerals:
  • 200 _ _ _ _ 205
  • 345_347_ _ 350
  • 34_ _ _ 38_ _ 41

        Answer:

  • 200 201 202 203 204 205
  • 345 346 347 348 349 350
  • 34 35 36 37 38 39 40 41
  1. Write the equivalent number names for the following:
  • 199 = One hundred and ninety nine
  • 214 = Two hundred and fourteen
  • 3450 = Three thousand four hundred and fifty
  1. Write the equivalent numerals for the number names
  • Three hundred and sixty six = 366
  • Four hundred and thirty five = 435
  • Two thousand six hundred and thirty five = 2635
  1. Roman numeral VI ______ than VIII
  • =

               Answer: <

  1. How would you write ten in roman letter?
  • X
  • XII
  • V

                 Answer: X

 

  • Addition and Subtraction:

                 Addition and Subtraction are rather important chapters for a growing child which triggers his/her brain to solve the questions. In class 1 and class 2, addition and subtraction were little simpler with simple two digit and three digit additions and simple word problems. But in class 3, next level of addition such as four digit addition, subtraction with or without borrowing, addition and subtraction word problems are covered.

Examples:

  1. Answer the following:
  • 8789 + 5674 = ?
  • 567 + 4563 = ?

    Answer:

  • 14463
  • 5130
  1. Find 6090 – ______ = 5590

    Answer:

  • 500

 

  • Multiplication and Division:

         Covers the topics such as counting using rows and columns, multiplication tables from 2 to 7, multiplying by 1, multiplying by 0, grid multiplication and word problems in multiplication. In division it covers, division by 10 and 100, division with two digit number, multiplication and division mixed problems, division word problems, etc.

Examples:

  1. 500 pencils are shared among 5 students of the classroom equally. How many pencils did each one get?

Answer: 100

  1. There are 20 bags of apples. Each bag contains 100 apples. Totally how many apples are there?

Answer: 2000

 

  • Fractions:

         Fractions are the important part of mathematics and it is very important to understand it clearly. Fraction comes as proper and improper fraction. The terms numerator and denominator are very important in the concepts of fraction.

Numerator = Number that is above the fraction line. Example: 2 in 2/3

Denominator= Number that is below the fraction line. Example: 3 in 2/3

Proper fraction has numerator smaller than the denominator whereas improper fraction has numerator larger than denominator. An improper fraction can be converted into a mixed fraction having a proper fraction and integral part. Fractions can be added, subtracted, divided and also multiplied.

Examples:

  1. Find out the fraction of vowels in the word “GREAT”?

Answer:

2/5

  1. There are totally 5 glasses of water in the table. Geetha drank 3 glasses of water. What is the fraction of water did geetha drink?

Answer:

3/5

 

  • Rupees and paise:

     Students are taught how to spend their own money and how to add, subtract, multiply and divide with their own money.

Examples:

  1. 6 Rupees is equal to _______ paise

Answer: 360 Paise

  1. 35 is equal to ______ paise

Answer: 575 Paise

  1. 675 paise is equal to _____ rupees

Answer: Rs.11.25

 

  • Time and Date:

         Topics covered such as Time taken to finish a task, puzzles for young minds, understanding the calendar, reading the clock and differentiate between AM and PM, etc.

Examples:

  1. How many rounds does an hour hand complete in a day?

Answer: 2 rounds

  1. What is the exact time taken by the minute hand to move from one number to the next number?

Answer: 5 minutes

 

  • Shapes and their properties:

               Topics covered such as different shapes and sizes, properties of shapes, edges and corners, vertices and surface, review of shapes and sizes, etc.,

Examples:

  1. Which of the following options are measured in cms and m?
  • Length of the banana
  • Height of your father
  • Distance from home to office

         Answers:

  • In cms
  • In cms
  • In meters
  1. Mention the length of the objects surrounding you:
  • Pen
  • Sharperner
  • Spoon

             Answers:

  • 10 cms
  • 3 cms
  • 8-9 cms

 

  • Measurement of length, mass and capacity:

              The basic things like standard unit of length, standard unit of mass, standard unit of capacity, converting meter to centi-meter, milli-meter and kilometer, etc are taught in this section. Students are given the basic understanding that the length of the pencil is measured in centi-meters whereas the distance between two places are measured in meters. Similarly, they are also taught how to measure the mass (in terms of kgs) and capacity (in terms of ml and l).

Examples:

  1. 18 L = _____ ml

Answer: 18000

  1. My mother is making noodles for dinner. Each noodles packet weighs 500g. How many grams of noodles will be there in 6 packets.

Answer: 3000 grams

  1. Add 85m 25cm and 56 m 44 cm and write the answer:

Answer: 141m 69 cm

 

  • Smart charts:

             Pictorial representation of collection of data is called as charts. Topics which are covered are drawing simple charts with two or multiple columns, reviewing simple graphs, pictograph, etc.

Examples:

  1. Answer the questions according to the datas given below:
  • Painting : 10

Dancing: 8

Music: 5

Craft: 15

Cycling: 13

Gardening: 14

Stamp collection: 10

Reading: 9

     Questions:

  1. Which is the most popular hobby?

Answer: Craft

  1. Which is the least popular hobby?

Answer: Music

  1. What is the difference between the number of students interested in Stamp collection and Dancing?

Answer: 2

 

  • Play with patterns:

             This section covers topics such as understanding pattern around us, detecting the number patterns, arranging in alphabetical order, skip counting, growing patterns and even odd patterns.

Examples:

  1. Arrange the following names in alphabetical order:
  • Abinay
  • Xavier
  • Harish

               Answer:

  • Abinay
  • Harish
  • Xavier
  1. Complete the following numerical patterns:
  • 98,198,298,398,_

                 Answer:

  • 98,198,298,398,498

Thus, these are the topics covered in CBSE Class 3 Mathematics.