Topics
Number System
Theme 1 : Numbers
Number System(Consolidating the Sense of Numberness)
Number System (Including Estimation and Approximation)
Estimation
Ratio and Proportion
Numbers in Indian and International Systems (With Comparison)
Theme 2 : Ratio, Proportion and Arithmetic Problems
Natural Numbers and Whole Numbers (Including Number Line and Patterns)
Numbers in India and International System (With Comparison)
Algebra
Theme 3 : Algebra
Place Value
Theme 4 : Geometry
Negative Numbers and Integers
Geometry
Sets
Theme 5 : Mensuration
Mensuration
Natural Numbers and Whole Numbers (Including Patterns)
Data Handling
Theme 6 : Statistics
Fractions
Negative Numbers and Integers
Number Line
Decimal Fractions
Playing with Numbers (Including H.C.F. and L.C.M.)
HCF and LCM
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)
Idea of Speed, Distance and Time
Ratio
Proportion (Including Word Problems)
Fundamental Concepts (With operations on Algebraic Expressions)
Unitary Method
Framing Algebraic Expressions (Including Substitution and Linear Equations)
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)
Decimal Fractions
Triangles (Including Types and Properties of Triangles)
Percent (Percentage)
Quadrilaterals
Idea of Speed, Distance and Time
Circles
Symmetry
Constructions
Fundamental Concepts
Fundamental Operations (Related to Algebraic Expressions)
Substitution (Including Use of Brackets as Grouping Symbols)
Recognition of Solids
Perimeter and Area of Plane Figures
Framing Algebraic Expressions (Including Evaluation)
Simple (Linear) Equations (Including Word Problems)
Data Handling (Including Mean and Median)
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
- Introduction
- Divisibility Rules
Maharashtra State Board: Class 5
Introduction
‘Divisible' means when you divide one number by another, the remainder should be zero. Divisibility tests are useful in the prime factorisation of a number.
To check whether a number is divisible without performing long division, we use divisibility rules.
These rules allow us to analyse, examine, and manipulate the digits of a number using basic arithmetic operations to check for divisibility.
CISCE: Class 6
Divisibility Rules
| Divisibility By | Rule |
|---|---|
| 2 | A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8. |
| 3 | A number is divisible by 3 if the sum of its digits is divisible by 3. |
| 4 | A number is divisible by 4 if the last two digits are divisible by 4. |
| 5 | A number is divisible by 5 if its last digit is 0 or 5. |
| 6 | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 8 | A number is divisible by 8 if the last three digits form a number divisible by 8. |
| 9 | A number is divisible by 9 if the sum of its digits is divisible by 9. |
| 10 | A number is divisible by 10 if its last digit is 0. |
