# CBSE - Class 07 - Mathematics - CBSE Revision Notes

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## CBSE Revision Notes for Class 07 Mathematics

Download CBSE Revision Notes for CBSE Class 07 Mathematics Integers Integers: Multiplication and division of integers (through patterns). Division by zero is meaningless. Properties of integers. subtraction is not commutative. Word problems including integers.

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Download CBSE Revision Notes for CBSE Class 07 Mathematics Fractions and Decimals Fractions and Decimals: Multiplication of fractions, Fraction as an operator, Reciprocal of a fraction, Division of fractions, Word problems involving mixed fractions, Introduction to rational numbers, Operations on rational numbers, Representation of rational number as a decimal. Word problems on rational numbers ,Multiplication and division of decimal fractions, Conversion of units, Word problems.

Download CBSE Revision Notes for CBSE Class 07 Mathematics Data Handling Data Handling: Collection and organisation of data, Mean, median and mode of ungrouped data, Constructing bargraphs. Feel of probability using data through experiments. throws. Comparing the observation with that for a coin.

Download CBSE Revision Notes for CBSE Class 07 Mathematics Simple Equations Simple Equations: Review- variable and constant, Algebraic Expression. Equation- Solution or root of equation, rules of equation, rules for solving an equation- Systematic method, Transposition method. From solution to equation.

Download CBSE Revision Notes for CBSE Class 07 Mathematics Lines and Angles Lines and Angles: Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite). Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles)

Download CBSE Revision Notes for CBSE Class 07 Mathematics The Triangle and its Properties The Triangle and its Properties: Angle sum property (with notions of proof & verification through paper folding, proofs using property of parallel lines, difference between proof and verification.), Exterior angle property. Sum of two sides of a it’s third side. Pythagoras Theorem.

Download CBSE Revision Notes for CBSE Class 07 Mathematics Congruence of Triangles Congruence of Triangles: Congruence through superposition (examples-blades, stamps, etc.). Extend congruence to simple geometrical shapes e.g. triangles, circles. Criteria of congruence (by verification) SSS, SAS, ASA, RHS

Download CBSE Revision Notes for CBSE Class 07 Mathematics Comparing Quantities Comparing Quantities: Ratio and proportion (revision). Unitary method continued, consolidation, general expression. Percentage- an introduction. Understanding percentage as a fraction with denominator 100. Converting fractions and decimals into percentage and vice-versa. Application to profit and loss (single transaction only). Application to simple interest (time period in complete years).

Download CBSE Revision Notes for CBSE Class 07 Mathematics Rational Numbers Rational Numbers: Introduction to rational numbers (with representation on number line). Operations on rational numbers (all operations). Representation of rational number as a decimal. Word problems on rational numbers (all operations)

Download CBSE Revision Notes for CBSE Class 07 Mathematics Practical Geometry Practical Geometry: Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite) (verification and simple proof of vertically opposite angles). Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles)

Download CBSE Revision Notes for CBSE Class 07 Mathematics Perimeter and Area Perimeter and Area: Revision of perimeter, Circumference of Circle. Concept of measurement using a basic unit area of a square, rectangle, triangle, parallelogram and circle, area between two rectangles and two concentric circles.

Download CBSE Revision Notes for CBSE Class 07 Mathematics Algebraic Expressions Algebraic Expressions: Generate algebraic expressions (simple) involving one or two variables. Identifying constants, coefficient, powers. Like and unlike terms, degree of expressions. Addition, subtraction of algebraic expressions (coefficients should be integers). Simple linear equations in one variable (in contextual problems) with two operations (avoid complicated coefficients)

Download CBSE Revision Notes for CBSE Class 07 Mathematics Exponents and Powers Exponents and Powers: Exponents only natural numbers. Laws of exponents (through observing patterns to arrive at generalisation.)

Download CBSE Revision Notes for CBSE Class 07 Mathematics Symmetry Symmetry: Recalling reflection symmetry. Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. Operation of rotation through 90 and 180 degree of simple figures. rotation and reflection symmetry (both operations). reflection and rotation symmetry and vice-versa

Download CBSE Revision Notes for CBSE Class 07 Mathematics Visualising Solid Shapes Visualising Solid Shapes: Viewing Different section of solids, object having different shapes(one, two, three Dimensional objects), Faces, edges and vertices of 3-D shapes, nets for building 3-D shapes, Drawing Solids on Flat Surface(Oblique Sketches, Isometric Sketches).

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**CBSE Revision Notes for class 7 Mathematics**

CBSE revision notes for class 7 Mathematics NCERT chapter wise notes of 7th Mathematics CBSE key points and chapter summary for 7 Mathematics all chapters in PDF format for free download. CBSE short key notes and chapter notes for revision in exams. CBSE short notes of 7th class Mathematics. Summary of the chapter for class 7 Mathematics are available in PDF format for free download. These NCERT notes are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. These notes are based on latest NCERT syllabus and designed as per the new curriculum issued by CBSE for this session. Class 7 Mathematics chapter wise NCERT note for Mathematics part and Mathematics for all the chapters can be downloaded from website and myCBSEguide mobile app for free.

**CBSE Class 7 Notes and Key Points**

- CBSE Revision notes (PDF Download) Free
- CBSE Revision notes for Class 7 Mathematics PDF
- CBSE Revision notes Class 7 Mathematics – CBSE
- CBSE Revisions notes and Key Points Class 7 Mathematics
- Summary of the NCERT books all chapters in Mathematics class 7
- Short notes for CBSE class 7th Mathematics
- Key notes and chapter summary of Mathematics class 7
- Quick revision notes for CBSE exams

**CBSE Class 7 Mathematics Chapter-wise Revision Notes**

- Chapter 1 – Integers
- Chapter 2 – Fractions and Decimals
- Chapter 3 – Data Handling
- Chapter 4 – Simple Equations
- Chapter 5 – Lines and Angles
- Chapter 6 – The Triangle and its Properties
- Chapter 7 – Congruence of Triangles
- Chapter 8 – Comparing Quantities
- Chapter 9 – Rational Numbers
- Chapter 10 – Practical Geometry
- Chapter 11 – Perimeter and Area
- Chapter 12 – Algebraic Expressions
- Chapter 13 – Exponents and Powers
- Chapter 14 – Symmetry
- Chapter 15 – Visualising Solid Shapes

** Free Download of CBSE Class 7 Revision Notes**

Key Notes for CBSE Board Students for Class 7. Important topics of all subjects are given in these CBSE notes. These notes will provide you overview of the chapter and important points to remember. These are very useful summary notes with neatly explained examples for best revision of the book.

**CBSE Class-07 Revision Notes and Key Points**

CBSE notes for class 7 Maths, Science and Social Science with option to download in PDF format. The notes includes all the concepts given in text book and covers the whole syllabus as prescribed by CBSE, New Delhi. CBSE key notes are free to download.

- Revision Notes for class-07 Mathematics
- Revision Notes for class-07 Science
- Revision Notes for class-07 Social Science

**CBSE Class 6 Mathematics
Revision Notes
CHAPTER – 2
Whole Numbers**

- The numbers 1, 2, 3, …… which we use for counting are known as natural numbers.
- If you add 1 to a natural number, we get its successor. If you subtract 1 from a natural number, you get its predecessor.
- Every natural number has a successor. Every natural number except 1 has a predecessor.
- If we add the number zero to the collection of natural numbers, we get the collection of whole numbers. Thus, the numbers 0, 1, 2, 3, ... form the collection of whole numbers.
- Every whole number has a successor. Every whole number except zero has a predecessor.
- All natural numbers are whole numbers, but all whole numbers are not natural numbers.
- We take a line, mark a point on it and label it 0. We then mark out points to the right of 0, at equal intervals. Label them as 1, 2, 3, .... Thus, we have a number line with the whole numbers represented on it. We can easily perform the number operations of addition, subtraction and multiplication on the number line.
- Addition corresponds to moving to the right on the number line, whereas subtraction corresponds to moving to the left. Multiplication corresponds to making jumps of equal distance starting from zero.
- Adding two whole numbers always gives a whole number. Similarly, multiplying two whole numbers always gives a whole number. We say that whole numbers are closed under addition and also under multiplication. However, whole numbers are not closed under subtraction and under division.
- Division by zero is not defined.
- Zero is the identity for addition of whole numbers. The whole number 1 is the identity for multiplication of whole numbers.
- You can add two whole numbers in any order. You can multiply two whole numbers in any order. We say that addition and multiplication are commutative for whole numbers.
- Addition and multiplication, both, are associative for whole numbers.
- Multiplication is distributive over addition for whole numbers.
- Commutativity, associativity and distributivity properties of whole numbers are useful in simplifying calculations and we use them without being aware of them.
- Patterns with numbers are not only interesting, but are useful especially for verbal calculations and help us to understand properties of numbers better.

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