# CBSE - Class 06 - Mathematics - CBSE Revision Notes

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## CBSE Revision Notes for Class 06 Mathematics

Download CBSE Revision Notes for CBSE Class 06 Mathematics Knowing our Numbers Knowing our Numbers: Consolidating the sense of numberness up to 5 digits, Size, estimation of numbers, identifying smaller, larger, etc. Place value (recapitulation and extension), connectives: use of symbols =, <, > and use of brackets, word problems on number operations involving large numbers up to a maximum of 5 digits in the answer after all operations. This would include conversions of units of length & mass.

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Download CBSE Revision Notes for CBSE Class 06 Mathematics Whole Numbers Whole Numbers: Natural numbers, whole numbers, properties of numbers (commutative, associative, distributive, additive identity, multiplicative identity), number line. Seeing patterns, identifying and formulating rules to be done by children.

Download CBSE Revision Notes for CBSE Class 06 Mathematics Playing with Numbers Playing with Numbers: Simplification of brackets, Multiples and factors, divisibility rule of 2, 3, 4, 5, 6, 8, 9, 10, 11. Even/odd and prime/composite numbers, Co-prime numbers, prime factorisation, every number can be written as products of prime factors. HCF and LCM, prime factorization and division method for HCF and LCM, the property LCM ×HCF = product of two numbers

Download CBSE Revision Notes for CBSE Class 06 Mathematics Basic Geometrical Ideas Basic Geometrical Ideas: Introduction to geometry. Its linkage with and reflection in everyday experience. Line, line segment, ray. Open and closed figures. Interior and exterior of closed figures. Curvilinear and linear boundaries. Angle — Vertex, arm, interior and exterior, Triangle — vertices, sides, angles, interior and exterior, altitude and median.

Download CBSE Revision Notes for CBSE Class 06 Mathematics Understanding Elementary Shapes Understanding Elementary Shapes: Shapes (2-D and 3-D): Measure of Line segment. Measure of angles. Pair of lines– Intersecting and perpendicular lines, Parallel lines. Types of angles- acute, obtuse, right, straight, reflex, complete and zero angle. Classification of triangles.Types of quadrilaterals – Trapezium, parallelogram, rectangle, square, rhombus.

Download CBSE Revision Notes for CBSE Class 06 Mathematics Integers Integers: What are integers, identification of integers on the number line, operation of addition and subtraction of integers, showing the operations on the number line (addition of negative integer reduces the value of the number) comparison of integers, ordering of integers.

Download CBSE Revision Notes for CBSE Class 06 Mathematics Fractions Fractions online test for class 06 Mathematics. These online MCQ tests includes all main concepts of the chapter in CBSE class 06 Mathematics. It is very useful for testing the command over the topic and equally useful for various Olympiads.

Download CBSE Revision Notes for CBSE Class 06 Mathematics Decimals Decimals: Review of the idea of a decimal fraction, place value in the context of decimal fraction, inter conversion of fractions and decimal fractions (avoid recurring decimals at this stage), word problems involving addition and subtraction of decimals (two operations together on money, mass, length and temperature)

Download CBSE Revision Notes for CBSE Class 06 Mathematics Data handling Data handling: (i) What is data - choosing data to examine a hypothesis? (ii) Collection and organisation of data - examplesof organizing it in tally bars and a table. (iii) Pictograph- Need for scaling in pictographs interpretation & construction. (iv) Making bar graphs for given data interpreting bar graphs+.

Download CBSE Revision Notes for CBSE Class 06 Mathematics Mensuration Mensuration: Introduction and general understanding of perimeter using many shapes. Shapes of different kinds with the same perimeter. Concept of area, Area of a rectangle and a square Counter examples to different misconcepts related to perimeter and area. Perimeter of a rectangle – and its special case – a square. Deducing the formula of the perimeter for a rectangle and then a square through pattern and generalisation.

Download CBSE Revision Notes for CBSE Class 06 Mathematics Algebra Algebra: Introduction to variable through patterns and through appropriate word problems and generalisations (example 5 × 1 = 5 etc.). Generate such patterns with more examples. Introduction to unknowns through examples with simple contexts (single operations)

Download CBSE Revision Notes for CBSE Class 06 Mathematics Ratio and Proportion Ratio and Proportion: Concept of Ratio. Proportion as equality of two ratios. Unitary method (with only direct variation implied). Word problems.

Download CBSE Revision Notes for CBSE Class 06 Mathematics Symmetry Symmetry: Observation and identification of 2-D symmetrical objects for reflection symmetry. Operation of reflection (taking mirror images) of simple 2-D objects. Recognising reflection symmetry (identifying axes).

Download CBSE Revision Notes for CBSE Class 06 Mathematics Practical Geometry Practical Geometry: Line, line segment, ray. Open and closed figures. Interior and exterior of closed figures. Circle- Centre, radius, diameter, arc, sector, chord, segment, semicircle, circumference, interior and exterior.

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**CBSE Revision Notes for class 6 Mathematics**

CBSE revision notes for class 6 Mathematics NCERT chapter wise notes of 6th Mathematics CBSE key points and chapter summary for 6 Mathematics all chapters in PDF format for free download. CBSE short key notes and chapter notes for revision in exams. CBSE short notes of 6th class Mathematics. Summary of the chapter for class 6 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 6 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 6 Notes and Key Points**

- CBSE Revision notes (PDF Download) Free
- CBSE Revision notes for Class 6 Mathematics PDF
- CBSE Revision notes Class 6 Mathematics – CBSE
- CBSE Revisions notes and Key Points Class 6 Mathematics
- Summary of the NCERT books all chapters in Mathematics class 6
- Short notes for CBSE class 6th Mathematics
- Key notes and chapter summary of Mathematics class 6
- Quick revision notes for CBSE exams

**CBSE Class 6 Mathematics Chapter-wise Revision Notes**

- Chapter 1 - Knowing Our Numbers
- Chapter 2 - Whole Numbers
- Chapter 3 - Playing with Numbers
- Chapter 4 - Basic Geometrical Ideas
- Chapter 5 - Understanding Elementary Shapes
- Chapter 6 - Integers
- Chapter 7 - Fractions
- Chapter 8 - Decimals
- Chapter 9 - Data Handling
- Chapter 10 - Mensuration
- Chapter 11 - Algebra
- Chapter 12 - Ratio and Proportion
- Chapter 13 - Symmetry
- Chapter 14 - Practical Geometry

**Free Download of CBSE Class 06 Revision Notes**

Key Notes for CBSE Board Students for Class 06 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-06 Revision Notes and Key Points**

CBSE class-06 Key points and summary of the lessons is given under this section for Science, Mathematics, Hindi, English, Social Science and other subjects. The notes includes all concepts given in NCERT books and syllabus issued by CBSE for class-06. Key notes are 'to the point' capsules for quick revision of the chapter. We have covered the whole syllabus in these notes.

- Revision Notes for class-06 Mathematics
- Revision Notes for class-06 Science
- Revision Notes for class-06 Social Science

**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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