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CBSE Class 7 Revision Notes, Short Key Notes
CBSE Class 7 is one of the most important classes for students, so it is essential to invest proper time in studying. Candidates should understand the concepts while learning. Additionally, to score better in the examination, it is important to enjoy the process of reading and learning the concepts. Students should never stress themselves while learning to score high or excellent marks. Getting good marks should be a dynamic process that candidates must get after preparing for the exams properly.
Quick Links
ToggleStudying the concepts through NCERT books is important but candidates should also learn them thoroughly. CBSE class 7 revision notes will help the candidates in learning the basic and advanced concepts required to score good ranks in the examination.
The revision notes can boost the confidence of the students by clearing their doubts and helping them in understanding the concepts clearly. Extramarks provides students with all the revision notes and solutions required to score good marks in class 7. Applicants can access the revision notes of subjects such as Mathematics, Science, etc. to revise the complete syllabus thoroughly.
The Central Board of Secondary Education or CBSE is an academic excellence body that can help the students in clearing the concepts required for the examination in a better way. The website of Extramarks provides the candidates with handy solutions and convenient revision notes to get good marks in the examination. Candidates can easily access the NCERT solutions for subjects such as Mathematics, Science so that they can revise the syllabus and score good marks in their final examinations.
Class 7 Revision Notes
The class 7 revision notes can be one of the best guides for the students through which they can refer and prepare for the examinations. They can be the best study materials as revision notes are developed according to the guidelines released by the NCERT. Students can also access the solutions from the platform of Extramarks to get an idea about the type of questions asked in the examination. The revision notes are created in a descriptive way that can help the candidate to understand the concepts properly.
CBSE Quick Revision Notes for Class 7
The revision notes of class 7 CBSE are designed for the students to perform well in the examination. The notes are available for the candidates to access from the website of Extramarks. Candidates will get tricks and tips to cover the syllabus properly for the final examinations. They will understand the subjects and concepts without any stress if they are following the study materials provided by Extramarks. The CBSE revision notes are written in simple and easy language so that every student can make the best of these notes.
CBSE Class 7 Mathematics Revision Notes
The Central Board of Secondary Education or CBSE has designed the syllabus of Mathematics for the students so that they can gain in-depth knowledge of the subject. Every chapter of class 7 Mathematics has its significance in developing the problem-solving skills of the students. Candidates will develop an understanding of the formulas, equations and important terms included in the syllabus. The CBSE Mathematics revision notes will help the students in covering all the important concepts. The revision notes are generated chapter wise and will explain every detail of the concepts properly.
Below are the chapter-wise notes given for CBSE class 7. Candidates can access them for the revision. They are as follows:
Chapter 1: Integers
- Definitions:
- Natural and whole numbers: All the counting numbers that begin from 1 and go to infinity are natural numbers whereas the numbers starting from 0 and going to infinity are whole numbers.
- Addition and subtraction properties of integers
- Additive identity and inverse
- 0 is the additive identity, i.e, adding o to any particular number will not change the number.
- If there is a number, let’s suppose “a” then for a, “-a” is the additive inverse of a.
- Multiplication property of integers
- If we multiply two integers, then the resultant value will be integer only.
- Commutative property: If there are two integers, a and b, on multiplying a*b=b*a.
- On multiplying any integer with 0, we will get 0 only.
- If there are three integers, a,b, and c, then for all three of them – (a*b)*c = a*(b*c).
- With regards to addition and multiplication of integers, a*(b+c) = (a*b)+(a*c).
Further the chapter is divided among these subtopics:
- Properties of Division of Integers
- Division of integers
- Properties of multiplication of integers
- Multiplication of integers
- Properties of Addition and Subtraction of Integers
- Recall from the past lessons
Chapter 2: Fractions and Decimals
- A fraction is a portion of a whole or, more broadly, any amount of equal pieces. The numerator is the number on top, while the denominator is the number below.
- We split the line segment among two complete numbers into n equal segments to depict a fraction on a number line, wherein n would be the denominator.
- Decimal numerals are used to show data of less than one unit. Although each place value is expressed by a power of ten, the decimal number system is also known as the base 10 system.
- Let’s suppose the decimal is 789.98, it means, to the left of the decimal, the order will increase by 10 but to the right, the order will increase with decreasing order of 10.
Further the chapter is divided among these sub-topics:
- Division of Decimal Numbers
- Multiplication of Decimal Numbers
- How well have you learnt about Decimal Numbers?
- Multiplication of fractions
- Division of fractions
- How well have you learned about fractions?
Chapter 3: Data Handling
- Data are discrete pieces of information pertaining to a certain system. They can take the shape of figures or numbers. Data is gathered in order to analyze specific facts for a certain goal.
- Average of the data is sorted via a method, that is, we take the sum of all observations and then divide it with the number of observations.
- Median is the middlemost value among the entire observations.
- Mode is that particular observation in the entire dataset that has occurred a maximum number of times.
- Probability is a measure of the likelihood of an event occurring. Random experiments are those that do not have a predetermined outcome.
Further the chapter is divided among these subtopics:
- Chance and probability
- Use of bar graphs with a different purpose
- Median
- Mode
- Arithmetic mean
- Representative values
- Organization of data
- Collecting data
Chapter 4: Simple Equations
- A variable is a number whose value is not fixed and can take any value. It’s a symbol representing a number whose value has yet to be determined.
- Expressions are created by executing operations on variables such as multiplication and division, and addition.
- An algebraic equation is a variable condition that requires two expressions in the variable to have the same value.
- Solving an equation entails doing the identical procedures on both sides of the “=” sign in order to get the value of the variable without changing the balance.
Further the chapter is divided among these subtopics:
- From solution to equation
- More equations
- What is an equation?
- Review of what we know
- Setting up of an equation
Chapter 5: Lines and Angles
- Definitions:
- When we drop points and draw a straight route that continues indefinitely on all sides, then the straight path is a line.
- A ray is a segment of a line having a single terminal.
- A line segment is a section of a line with two ends.
- As two rays start from the same terminal point, an angle is generated.
- The rays that form an angle are referred to as the angel’s arms.
- Supplementary angles are two angles whose total is 1800.
- A linear pair of angles is a pair of neighboring angles whose total equals 180.
- As two straight lines cross at a common point, they form vertically opposite angles.
- Triangle angle sum property: The sum of a triangle’s interior angles is 180 degrees.
- If a triangle side is constructed, the outside angle formed is equivalent to the total of the two inside opposing angles.
Further the chapter is divided among these sub-topics:
- Checking for Parallel lines
- Pair of lines
- Related angles
Chapter 6: The Triangle and its Properties
- A triangle is a three-line segment closed curve.
- The median is the line that links a triangle’s vertex to the opposing side’s midpoint.
- An altitude is a line segment that passes through a triangle’s vertex and is perpendicular to a line comprising the opposing side.
- The total of any two sides of a triangle is greater than the length of the third side.
- The length difference between any two sides is less than the length of the sides of a triangle.
- Type of triangles:
- Isosceles triangle: A triangle with two equal-length sides.
- Equilateral triangle: A triangle with three sides that are all the same length.
- Scalene Triangle: A triangle with three sides of varying lengths.
Further, the chapter is divided into these sub-topics:
- Right-angled triangles and Pythagoras property
- The sum of the length of two sides of a triangle
- Tow special triangles: equilateral and isosceles
- Angle sum property of a triangle
- The exterior angle of a triangle and its property
- Altitudes of a triangle
- Means of a triangle
Chapter 7: Congruence of Triangles
- Congruent figures are of the same size and form.
- All of a triangle’s angles are identical to the relevant side lengths of another triangle, the triangles are said to be congruent.
- If indeed the three sides of one triangle are equivalent to the three sides of another triangle under a particular equivalence, then the triangles are similar.
- If two sides of a triangle and the angle through on them are identical to two matching sides and the angle included among them of another triangle, then the triangles are similar, that is, congruent.
- Triangles are congruent if two pairs of comparable angles and a pair of opposing sides in each triangles are equal.
- If the hypotenuse and one side of one right-angled triangle match to the hypotenuse and one side of yet another right-angled triangle, then perhaps the triangles are congruent
Further the chapter is divided among these subtopics:
- Criteria for Congruence of triangles
- Congruence of Triangles
- Congruence of Angles
- Congruence Among Line Segments
- Congruence of Plane Figures
Chapter 8: Comparing Quantities
- To compare two different quantities such as heights, wages, weights, etc., they must have same units and ratio is used for this purpose
- To find the profit, the difference between the selling price and cost price should be obtained. Similarly, to find loss, difference between cost price and selling price need to be acquired
- Percentages are a comparing unit and are represented as a fraction of 100. Eg.- 70% is expressed as 70/100
- If a ratio is not represented in fractions of 100, convert it to an equal fraction having a denominator of 100
- Percentage can be used to show the increase or decrease in any quantity
- To find the Simple Interest, principal amount, interest rate, and number of years need to be obtained first, followed by multiplying all three and then divide the result by 100
Chapter 9: Rational Numbers
- Any number that can be expressed in the form of a/b, where a and b are integers and b is not equal to zero, is called a rational number
- Equivalent fractions or equivalent rational numbers are those where a same non zero integer is multiplied or divided in the numerator and denominator of a rational number. Eg. 1/3 multiplied with 3/3 = 3/9
- If the denominator is a positive integer and the numerator and denominator share no common factor other than 1, the rational number is said to be in standard form
- Three properties of rational numbers- Closure property, associative property, and commutative property
- Any two rational numbers whose product is 1 is known as reciprocals of each other. Eg. 2/4 and 4/2 are reciprocals of each other since their product is 1
- When a rational number a/b is added to a/b and results into zero, is called additive inverse
Chapter 10: Practical Geometry
Properties of a triangle
- Sum of the inner opposite angles is equal to the exterior angle of a triangle
- The sum of the three angle of a triangle is 180 degree
- Any two triangle sides’ lengths added together are bigger than the length of the third side
- In any right-angled triangle, the square of the hypotenuse length equals the sum of the squares of the other two sides
- A triangle can be made if three sides, two angles and a side between them, two sides and an angle between them, or hypotenuse and a leg in case of a 90 degree triangle is given
- Different criteria for construction of a triangle are-
- SSS or Side, Side, Side
- SAS or Side, Angle, Side
- ASA or Angle, Side, Angle
- RHS or Right angle, Hypotenuse, and Side
Chapter 11: Perimeter and Area
- Total distance covered along the boundary of any closed shape is known as perimeter of that shape
- Total amount of a surface enclosed within the closed figure is called the area
- Perimeter of a square is obtained by multiplying 4 with the side or 4xside
- Perimeter of a rectangle= 2 x (length + breadth)
- Area of square= side x side
- Area of rectangle= length x breadth
- Area of a parallelogram= base x height
- Area of an equilateral triangle= √3/4 x (side)²
- Circumference of a circle= πd or 2πr
- Area of a circle= πr²
Chapter 12: Algebraic Expressions
- Terms are the parts of an expression that are produced individually and then combined
- Any numerical factor associated with a term is known as coefficient of the term
- Any quantity that keeps changing as per the situation is called variable
- Any quantity that stays the same throughout the situation is called constant
- Terms that have the same algebraic factors are known as like terms
- Terms that do not have the same algebraic factors are known as unlike terms
- Different expressions as per the number of terms:
- Binomial- Expression that includes two unlike terms
- Monomial- Expression with one term only
- Trinomial- Expression that contains three terms
- Polynomials- Any expression with more or just one term
Chapter 13: Exponents and Power
- Exponents make the huge number of expressions more understandable as well as readable
- To multiply the powers with same base, add the exponents
- To divide the powers of the same base, subtract the exponents
- To take the power of a power, multiply the exponents
- To multiply the powers with different base but same exponent, divide the base
Chapter 14: Symmetry
- Symmetry exists when two or more portions of a figure are alike after bending or flipping. The two parts of a shape are the same shape and size to be symmetrical. Otherwise, it’s asymmetrical
- A fictitious line that separates the area into two halves of equal size is known as the line of symmetry. It could be vertical, horizontal, or diagonal. In a figure, there could be one or many lines of symmetry
- Types of Symmetry
- It is reflection symmetry if we create a dotted line that offers the mirror reflection of the other half of the image. It’s the same as fundamental symmetry, which states that the reflected symmetry of a figure is when the dotted line divides the picture into two equal halves
- When we spin an image at 360 degrees around its centre point, the number of times the image seems to be the same reveals the image’s rotational symmetry
- Certain shapes only have line symmetry, while others only have rotational symmetry. However, some shapes have both types of symmetry
Chapter 15: Visualizing Solid Shapes
- Plane Figures are the figures that can be drawn on a flat surface. They are termed 2 Dimensional Shapes because they have two dimensions: length and width
- Faces- The faces of a 3-D figure are all of the flat surfaces of that shape. The faces of three-dimensional forms are created by two-dimensional shapes
- The edges of a 3D geometry are the line segments that connect its faces
- Vertices- The vertices of a three-dimensional shape are the corners or locations where the edges meet. The vertex is the single form of vertices
- Three-dimensional shapes are those that have three dimensions: length, width, and height. They take up some room. For example, a box
- 2D representation of 3D shapes can be done using-
- Oblique Sketches
- Isometric Sketches
Conclusion
The CBSE class 7 revision notes can save time and help the candidates to prepare for the examination properly. Applicants can access the revision notes from the official website of Extramarks in online mode.
Candidates should refer to the study materials designed by the experts to prepare for the examinations. Some of the most important topics covered in class 7 Science are mentioned below. Students must read them accurately to score good marks in the examination.
They are as follows:
- Water filtration
- Deforestation
- Water harvesting
- Groundwater
- Concave and convex lenses
- Laws of reflection
- Electric circuit diagram
- Time- distance graph
- Reproductive parts of a flower
- Methods of reproduction in plants
- Heart
- Respiratory system in humans
- Soil profile
- Cyclones, Earthquakes
- Weather vs climate
- Copper sulphate crystals preparation
- Natural indicators
- Conduction, radiation, convection
- Processing of silk
- Human digestive system
- Food synthesis in green plants
CBSE Class 7 Revision Notes
FAQs (Frequently Asked Questions)
1. What is the syllabus for Mathematics for Class 7?
The basic Mathematics syllabus for Class 7 can be referred from the Extramarks website. Students can refer and prepare accordingly.
2. Which Mathematics book is best for Class 7?
Students can refer to the NCERT books to prepare for the CBSE Class 7 Mathematics. They can read the revision notes available on the website of Extramarks. Additionally, candidates can also read the Oswal question bank for class 7 to prepare for the Mathematics examination.
3. How can I prepare for class 7?
Below are some of the preparation tips mentioned for the students of class 7. Candidates must consider while preparing for the examination:
- Develop a study routine: Since the syllabus is vast and deep, candidates should prepare a timetable and study accordingly. This will help them in covering the entire syllabus well in time
- Give Mock Tests: Mock Tests will be a real evaluator of one’s performance. They will help students in maintaining speed in completing the exam paper. Students can further monitor it and check the accuracy level as well.
- Start early: Delaying the study process will create more problems for students. Students should begin preparing for the examination at the earliest without wasting any time.