Topics
Number System (Including Estimation and Approximation)
Theme 1 : Numbers
Number System(Consolidating the Sense of Numberness)
Number System
Numbers in Indian and International Systems (With Comparison)
Estimation
Theme 2 : Ratio, Proportion and Arithmetic Problems
Ratio and Proportion
Algebra
Natural Numbers and Whole Numbers (Including Number Line and Patterns)
Theme 3 : Algebra
Numbers in India and International System (With Comparison)
Theme 4 : Geometry
Negative Numbers and Integers
Place Value
Geometry
Mensuration
Natural Numbers and Whole Numbers (Including Patterns)
Theme 5 : Mensuration
Sets
Data Handling
Negative Numbers and Integers
Fractions
Theme 6 : Statistics
Decimal Fractions
Number Line
HCF and LCM
Playing with Numbers (Including H.C.F. and L.C.M.)
Ratio and Proportion (Including Unitary Method)
Playing with Numbers
- Simplification of Brackets
- Finding Factors Using Rectangular Arrangements and Division
- Factors and Common Factors
- Multiples and Common Multiples
- Concept of Even and Odd Number
- Tests for Divisibility of Numbers
- Divisibility by 2
- Divisibility by 4
- Divisibility by 8
- Divisibility by 3
- Divisibility by 6
- Divisibility by 9
- Divisibility by 5
- Divisibility by 11
Sets
Percent (Percentage)
Ratio
Idea of Speed, Distance and Time
Fundamental Concepts (With operations on Algebraic Expressions)
Proportion (Including Word Problems)
Framing Algebraic Expressions (Including Substitution and Linear Equations)
Unitary Method
Fractions
- Concept of Fraction
- Types of Fractions
- Concept of Proper and Improper Fractions
- Concept of Mixed Fractions
- Like and Unlike Fraction
- Concept of Equivalent Fractions
- Conversion between Improper and Mixed fraction
- Conversion between Unlike and Like Fractions
- Simplest Form of a Fractions
- Comparing Fractions
- Addition of Fraction
- Subtraction of Fraction
- Multiplication of Fraction
- Division of Fractions
- Using Operator 'Of' with Multiplication and Division
- BODMAS Rule
- Problems Based on Fraction
Fundamental Concepts (Including Angles and their Properties)
Triangles (Including Types and Properties of Triangles)
Decimal Fractions
Percent (Percentage)
Quadrilaterals
Idea of Speed, Distance and Time
Circles
Constructions
Symmetry
Fundamental Concepts
Fundamental Operations (Related to Algebraic Expressions)
Recognition of Solids
Substitution (Including Use of Brackets as Grouping Symbols)
Perimeter and Area of Plane Figures
Framing Algebraic Expressions (Including Evaluation)
Data Handling (Including Mean and Median)
Simple (Linear) Equations (Including Word Problems)
Fundamental Concepts
Angles (With Their Types)
Properties of Angles and Lines (Including Parallel Lines)
Triangles (Including Types, Properties and Constructions)
Quadrilateral
Polygons
The Circle
Symmetry (Including Constructions on Symmetry)
Recognition of Solids
Perimeter and Area of Plane Figures
Data Handling (Including Pictograph and Bar Graph)
Mean and Median
- Definition: Even and Odd
- Properties of Odd and Even Numbers
- Real-Life Examples
- Key Points Summary
CISCE: Class 6
Definition: Even and Odd
Even Number: A number ending in 0, 2, 4, 6, or 8 is an even number.
Odd Number: A number ending in 1, 3, 5, 7, or 9 is an odd number.
CISCE: Class 6
Properties of Odd and Even Numbers
- The sum of three odd numbers is an odd number.
Example: 3 + 5 + 7 = 15, i.e., odd. - The sum of two odd numbers and one even number is even.
Example: 3 + 5 + 6 = 14, i.e., even. - The product of three odd numbers is odd.
Example: 3 × 5 × 7 = 105, i.e., odd. - Prime numbers are both even and odd. 2 is the smallest prime number that is even. Every prime number except 2 is odd.
- The sum of the two prime numbers is both even and odd.
Example: 2 + 3 = 5 (odd).
3 + 5 = 8 (even). - All even numbers are composite numbers except 2, which is a prime number.
- The product of two even numbers is always even.
Example: 2 × 4 = 8, i.e., even.
CISCE: Class 6
Real-Life Examples
Sharing:
If you have 16 candies and share equally with a friend, both get 8 each—16 is even.
With 17 candies, both get 8, but 1 is left—17 is odd.
School Teams:
If a class has 24 students, they can form 12 pairs with none left over (even). But if there are 25 students, one student is left without a partner (odd).
CISCE: Class 6
Key Points Summary
Even numbers: divide exactly by 2 and end in 0, 2, 4, 6, or 8.
Odd numbers always leave 1 left if split into two equal groups and end in 1, 3, 5, 7, or 9.
Addition and multiplication of even/odd numbers follow predictable patterns.
Test Yourself
Shaalaa.com | What Are Even & Odd Numbers?
to track your progress
