India
2. Geometry
2.1.1.1. Definition and concept of a point
2.1.1.3. Definition and concept of a line
2.1.1.4. Definition and concept of a ray
2.1.1.7. Draw line segment of a given length
2.1.3. Closed and open figures
2.1.4. Polygons
2.1.4.1. Basic definition of a polygon
2.1.4.2. Sides and vertices of a polygon
2.1.4.3. Types of polygons
2.1.5. Triangles
2.1.5.1. Basic definition of a triangle
2.1.6. Quadrilaterals
2.1.6.1. Basic definition of a quadrilateral
2.1.6.2. Adjacent sides of a quadrilateral
2.1.6.3. Diagonals of a quadrilateral
2.1.7. Rectangle
2.1.8. Square
2.1.8.1. Basic definition of a square
2.1.9. Circle
2.1.9.2. Centre of a circle
2.1.9.3. Radius of a circle
2.1.9.4. Diameter of a circle
2.1.9.6. Arc
2.1.9.7. Semi-circle
2.1.9.8. Circumference of a circle
2.1.9.10. Chord
2.1.12.1. Basic definition of perimeter
2.1.12.2.1. Perimeter of a rectangle
2.1.12.2.2. Perimeter of a square
2.1.12.2.3. Find perimeter of triangle
2.1.12.3. Perimeter of simple rectilinear shapes
2.1.12.5. Basic definition of area
2.1.12.7. Word problems on perimeter and area
3. Numbers
3.1. Number System
3.1.1. Definition of a numeral
3.1.1.3. International number system
3.1.1.4. Face value and place value
3.1.1.4.1. Concept: Face Value of a digit in a numeral
3.1.1.4.2. Concept: Place Value of a digit in a numeral
3.1.1.4.4. Expanded form of a number
3.1.1.5. Successor and predecessor
3.1.1.5.1. Successor of a number
3.1.1.5.2. Predecessor of a number
3.1.1.7. Comparison of numbers
3.1.1.7.1. Comparision of numbers up to 5 digits
3.1.1.7.1.2. Comparision of numbers with same number of digits
3.1.1.7.2. Comparision of numbers up to 7 digits
3.1.1.7.2.2. Comparision of numbers with same number of digits
3.1.1.7.3.2. Comparision of numbers with same number of digits
3.1.1.7.4.2. Comparision of numbers with same number of digits
3.1.1.8. Ascending and descending order
3.1.2. Numbers and operations
3.1.2.1. Addition and subtraction
3.1.2.1.1. Addition
3.1.2.1.1.1. Concept of addendum and sum
3.1.2.1.1.2. Addition without carrying
3.1.2.1.1.2.1. Addition of two numbers without carrying
3.1.2.1.1.2.1.1. Addition of two numbers of up to 4 digits without carrying
3.1.2.1.1.2.1.2. Addition of two numbers of up to 6 digits without carrying
3.1.2.1.1.2.2. Addition of up to 4 numbers without carrying
3.1.2.1.1.2.2.1. Addition of up to five numbers of up to 4 digits without carrying
3.1.2.1.1.2.2.2. Addition of up to five numbers of up to 6 digits without carrying
3.1.2.1.1.3. Addition with carrying
3.1.2.1.1.3.1. Addition of two numbers with carrying
3.1.2.1.1.3.1.1. Addition of two numbers of up to 4 digits with carrying
3.1.2.1.1.3.1.2. Addition of two numbers of up to 6 digits with carrying
3.1.2.1.1.3.2. Addition of up to 4 numbers with carrying
3.1.2.1.1.3.2.1. Addition of up to five numbers of up to 4 digits with carrying
3.1.2.1.1.3.2.2. Addition of up to five numbers of up to 6 digits with carrying
3.1.2.1.1.5. Word problems on addition
3.1.2.1.1.5.1. Word problems on addition of two numbers
3.1.2.1.1.5.1.1. Word problems on addition of two numbers of up to 4 digits
3.1.2.1.1.5.1.2. Word problems on addition of two numbers of up to 6 digits
3.1.2.1.1.5.2. Word problems on addition of up to five numbers
3.1.2.1.1.5.2.1. Word problems on addition of up to five numbers (up to 4 digits)
3.1.2.1.1.5.2.2. Word problems on addition of up to five numbers (up to 6 digits)
3.1.2.1.2. Subtraction
3.1.2.1.2.2. Subtraction without borrowing
3.1.2.1.2.2.1. Subtraction of two numbers without borrowing
3.1.2.1.2.2.1.1. Subtraction of two numbers of up to 4 digits without borrowing
3.1.2.1.2.2.1.2. Subtraction of two numbers of up to 6 digits without borrowing
3.1.2.1.2.3. Subtraction with borrowing
3.1.2.1.2.3.1. Subtraction of two numbers with borrowing
3.1.2.1.2.3.1.1. Subtraction of two numbers of up to 4 digits with borrowing
3.1.2.1.2.3.1.2. Subtraction of two numbers of up to 6 digits with borrowing
3.1.2.1.2.4. Word problems on subtraction
3.1.2.1.2.4.1. Word problems on subtraction of two numbers
3.1.2.1.2.4.1.1. Word problems on subtraction of two numbers of up to 4 digits
3.1.2.1.2.4.1.2. Word problems on subtraction of two numbers of up to 6 digits
3.1.2.2. Multiplication and division
3.1.2.2.1. Multiplication
3.1.2.2.1.1. Understanding what is multiplication
3.1.2.2.1.3. Properties of multiplication
3.1.2.2.1.3.3. Multiplicative property of 1
3.1.2.2.1.3.4. Multiplicative property of 0
3.1.2.2.1.5. Multiplication of a number by 10, 100, 1000 etc.
3.1.2.2.1.9. Word problems on multiplication
3.1.2.2.1.9.4. Simple word problems involving multiplication and addition for numbers up to four digits
3.1.2.2.1.9.5. More word problems on multiplication
3.1.2.2.1.10. Miscellaneous problems on multiplication
3.1.2.2.2. Division
3.1.2.2.2.2. Properties of division
3.1.2.2.2.2.1. Division of a number by 1
3.1.2.2.2.2.2. Division of a number by itself
3.1.2.2.2.3. Division by 10, 100 and 1000
3.1.2.2.2.8.1. Division by a number up to 9
3.1.2.2.2.8.2. Division by a number up to 19
3.1.2.2.2.9. Division using standard method (with remainder)
3.1.2.2.2.9.1. Division by a number up to 9
3.1.2.2.2.9.2. Division by a number up to 19
3.1.2.2.2.9.3. Division by a number up to 49
3.1.2.2.2.9.4. Division by a number up to 99
3.1.2.2.3. Word problems on division (No remainder)
3.1.2.5. Estimation
3.1.2.5.1. Estimating sums of given numbers
3.1.2.5.3. Estimating products of given numbers
3.1.3.1. Basic meaning of fractions
3.1.3.1.1. Understanding fraction as part of a whole
3.1.3.1.1.2. Identifying the symbols, 1/2, 1/4, 3/4
3.1.3.1.1.4. Identifying a fraction as part of a whole
3.1.3.2. Equivalent fractions
3.1.3.3. Comparison of fractions
3.1.3.4. Like and unlike fractions
3.1.3.4.2. Addition and subtraction of like fractions
3.1.3.4.2.1. Addition of like fractions
3.1.3.4.2.2. Subtraction of like fractions
3.1.3.4.2.3. Word problems on addition of like fractions
3.1.3.4.2.4. Word problems on subtraction of like fractions
3.1.3.7. Proper and improper fractions
3.1.3.7.1. Understanding proper fractions
3.1.3.7.2. Understanding improper fractions
3.1.3.8. Mixed fractions (Mixed numbers)
3.1.3.8.1. Meaning of mixed fractions
3.1.3.9. Simplest form of a fraction
3.1.3.10. Word problems on fractions
3.1.4. Factors and multiples
3.1.4.1. Factors
3.1.4.2. Multiples
3.1.4.2.1. Basic definition of a multiple
3.1.4.2.2. Basic properties of multiples
3.1.4.3. Appreciating factors and multiples
3.1.4.4.1. Properties of LCM and HCF of two numbers
3.1.4.4.2. Miscellaneous questions on LCM and HCF
3.1.4.4.3. Word problems on LCM and HCF
3.1.4.4.3.1. Word problems on LCM
3.1.4.5. Prime and composite numbers
3.1.4.5.1. Basic definition of prime numbers
3.1.4.5.2. Identifying all prime numbers upto 100
3.1.4.7. Even and odd numbers
3.1.4.7.1. Basic definition of even numbers
3.1.4.7.2. Basic definition of odd numbers
3.1.4.7.3. Appreciating even and odd numbers
3.1.4.8. Tests of divisibility
3.1.4.8.1. Test divisibility by 2
3.1.4.8.2. Test divisibility by 3
3.1.4.8.3. Test divisibility by 4
3.1.4.8.4. Test divisibility by 5
3.1.4.8.5. Test divisibility by 6
3.1.4.8.6. Test divisibility by 9
3.1.4.8.7. Test divisibility by 10
3.1.5. Decimals
3.1.5.12. Comparision of decimal numbers
4. Money
5. Measurement
5.1. Length
5.1.3.1.1. Converting kilometres into metres
5.1.3.1.2. Converting metres into decimetres
5.1.3.1.3. Converting metres into centimetres
5.1.3.1.4. Converting centimetres into millimetres
5.1.3.2.1. Converting 'kilometres and metres' to metres
5.1.3.3.1. Converting millimetres into centimetres
5.1.3.3.2. Converting centimetres into metres
5.1.3.3.3. Converting metres into kilometres
5.1.3.3.4. Expressing metres as 'kilometres and metres'
5.2. Weight/Mass
5.2.5.1.1. Converting kilograms into grams
5.2.5.1.2. Converting 'kilograms and grams' into grams
5.2.5.1.3. Converting grams into milligrams
5.2.5.2.1. Converting grams into kilograms
5.2.5.2.2. Converting grams into 'kilograms and grams'
5.2.6.1.3. Subtraction of weights/mass in one unit
5.3. Volume
5.3.4.1.1. Converting kilolitres to litres
5.3.4.1.2. Converting 'kilolitres and litres' to litres
5.3.4.1.3. Converting litres to millilitres
5.3.4.2.1. Converting litres into kilolitres
5.3.4.2.3. Converting millilitres into litres
5.4. Time and Calendar
5.4.1. Time
5.4.1.1. Time in a clock
5.4.1.5.1. Conversion of days into hours
5.4.1.5.2. Conversion of hours into minutes
5.4.1.5.3. Conversion of hours into seconds
5.4.1.5.5. Conversion of hours into days
5.4.1.6. The 24-hour clock time
5.4.1.7. Addition and subtraction of time
5.4.1.7.1. Addition of time
5.4.1.7.2. Subtraction of time
5.4.1.8. Word problems on time
7.1. Data
7.1.1. Basic definition of data
7.2. Pictographs
8. Patterns
8.1. Number patterns
8.2. Symmetry
Class 4 NCERT (CBSE and ICSE) Division by a number up to 49
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Master this topic as part of Division using standard method (with remainder)