Grade 3 Math Worksheets and Problems: Understand Division

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Understand Division

Class 3 NCERT (CBSE and ICSE) Understand Division

Learning Objective: Understand division as 'equal sharing'. See division as process of distribution and that of forming groups. Appreciate division as repeated subtracton.

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Class 3

1. Numbers

1.1. Representation of Numbers

1.1.1. Write Numerals as Number Names

1.1.2. Write Number Names as Numerals

1.1.3. Numbers on Abacus

1.2. Forming Numbers

1.2.1. Largest and Smallest 4-Digit Numbers

1.2.2. Form 4-Digit Numbers

1.3. Face Value and Place Value

1.3.1. Face Value of a Digit in a Number

1.3.2. Place Value of a Digit in a Number

1.3.3. Appreciating Face Values and Place Values

1.4. Numbers in Expanded Form

1.4.1. Convert Numbers to Expanded Form

1.4.2. Convert Numbers from Expanded Form

1.5. Successor and Predecessor

1.5.1. Successor of a Number

1.5.2. Predecessor of a Number

1.5.3. Appreciate Predecessor and Successor of a Number

1.6. Skip Counting

1.7. Even and Odd Numbers

1.7.1. Even Numbers

1.7.2. Odd Numbers

1.8. Comparison of numbers

1.8.1. Comparison of Numbers with Same Number of Digits

1.8.2. Comparison of Numbers with Different Number of Digits

1.9. Ascending Order and Descending Order

1.9.1. Ascending Order of Numbers

1.9.2. Descending Order of Numbers

2. Roman Numerals

2.1. Basic Symbols to Write Roman Numerals

2.2. Basic Rules to Form Roman Numerals

2.3. Working with Roman Numerals

2.3.1. Write Roman Numerals for Hindu-Arabic Numerals

2.3.2. Write Hindu-Arabic Numerals for Roman Numerals

2.3.3. Identify Meaningless Roman Numerals

2.3.4. Compare Roman Numerals

2.3.5. Basic Arithmetic Using Roman Numerals

2.3.6. Appreciating Roman Numerals

2.3.7. Word Problems on Basic Arithmetic Using Roman Numerals

3. Addition and Subtraction

3.1. Addition

3.1.1. Addendum and Sum

3.1.2. Addition Without Carrying

3.1.2.1. Add Two Numbers Without Carrying

3.1.2.2. Add Many Numbers Without Carrying

3.1.2.3. Find the Missing Digits in Column-Wise Addition (Without Carrying)

3.1.3. Addition with Carrying

3.1.3.1. Add Two Numbers With Carrying

3.1.3.2. Add Many Numbers With Carrying

3.1.3.3. Find the Missing Digits in Column-Wise Addition (With Carrying)

3.1.4. Properties of Addition

3.1.4.1. Order Property (Commutative Property) of Addition

3.1.4.2. Grouping Property (Associative Property) of Addition

3.1.4.3. Additive Property of Zero

3.1.5. Word Problems on Addition

3.1.5.1. Word Problems on Addition of Two Numbers

3.1.5.2. Word problems on Addition of Many Numbers

3.2. Subtraction

3.2.1. Minuend, Subtrahend and Difference

3.2.2. Subtraction Without Borrowing

3.2.2.1. Subtract Two Numbers Without Borrowing

3.2.2.2. Find Missing Digits in Column-Wise Subtraction of Two Numbers (Without Borrowing)

3.2.3. Subtraction With Borrowing

3.2.3.1. Subtract Two Numbers With Borrowing

3.2.3.2. Find Missing Digits in Column-Wise Subtraction of Two Numbers (With Borrowing)

3.2.4. Word Problems on Subtraction

3.2.4.1. Word Problems on Subtraction of Two Numbers

3.2.4.2. Word Problems on Subtraction Involving Many Numbers

3.3. Word Problems on Addition and Subtraction

4. Multiplication and Division

4.1. Multiplication

4.1.1. Understand Multiplication as Repeated Addition

4.1.2. Multiplicand, Multiplier and Product

4.1.3. Multiplication Tables from 2 to 10

4.1.4. Multiplication By 1-Digit Numbers

4.1.4.1. Multiply 2-Digit Numbers By 1-Digit Numbers (Without Carrying)

4.1.4.2. Multiply 2-Digit Numbers By 1-Digit Numbers (With Carrying)

4.1.4.3. Multiply 3-Digit Numbers By 1-Digit Numbers (Without Carrying)

4.1.4.4. Multiply 3-Digit Numbers By 1-Digit Numbers (With Carrying)

4.1.4.5. Multiply 4-Digit Numbers By 1-Digit Numbers (Without Carrying)

4.1.4.6. Multiply 4-Digit Numbers By 1-Digit Numbers (With Carrying)

4.1.5. Multiplication Tables from 11 to 20

4.1.6. Multiplication By 2-Digit Numbers

4.1.6.1. Multiply 2-Digit Numbers By 2-Digit Numbers (Without Carrying)

4.1.6.2. Multiply 2-Digit Numbers By 2-Digit Numbers (With Carrying)

4.1.6.3. Multiply 3-Digit Numbers By 2-Digit Numbers (Without Carrying)

4.1.6.4. Multiply 3-Digit Numbers By 2-Digit Numbers (With Carrying)

4.1.6.6. Multiply 4-digit Numbers By 2-Digit Numbers (With Carrying)

4.1.7. Properties of Multiplication

4.1.7.1. Order Property of Multiplication

4.1.7.2. Grouping Property of Multiplication

4.1.7.3. Multiplicative Property of 1

4.1.7.4. Multiplicative Property of 0

4.1.7.5. Distributive Property of Multiplication Over Addition

4.1.7.6. Identification of the Multiplication Property Being Used

4.1.8. Multiplication by 10, 100, 1000 etc.

4.1.9. Multiplication of a Number By a Multiple of 10, 100, 1000 etc.

4.1.10. Word Problems on Multiplication

4.1.10.1. Word Problems on Multiplication Involving Two-Digit Numbers

4.1.10.2. Word Problems on Multiplication Involving Three-Digit Numbers

4.1.10.3. More Word Problems on Multiplication

4.2. Division

4.2.1. Understand Division

4.2.2. Division as Distribution

4.2.3. Division as Forming Groups

4.2.4. Division as Repeated Subtraction

4.2.5. Division on the Number Line

4.2.6. Relation Between Multiplication and Division

4.2.7. Properties of Division

4.2.7.1. Division of a Number by 1

4.2.7.2. Division of a Number by Itself

4.2.7.3. Division by Zero

4.2.7.4. Dividing 0 by a number

4.2.7.5. Division by 10, 100 and 1000

4.2.8. Division Without Remainder (Long Division Method)

4.2.8.1. Divide 2-Digit Numbers by Numbers up to 9 (No Remainder)

4.2.8.2. Divide 3-Digit Numbers by Numbers up to 9 (No Remainder)

4.2.8.3. Divide 4-Digit Numbers by Numbers up to 9 (No Remainder)

4.2.8.4. Divide 5-Digit Numbers by Numbers up to 9 (No Remainder)

4.2.8.5. Divide 3-Digit Numbers by Numbers up to 19 (No Remainder)

4.2.8.6. Divide 4-Digit Numbers by Numbers up to 19 (No Remainder)

4.2.8.7. Divide 5-digit Numbers by Numbers up to 19 (No Remainder)

4.2.9. Division With remainder (Long Division method)

4.2.9.1. Divide 2-Digit Numbers by Numbers up to 9 (With Remainder)

4.2.9.2. Divide 3-Digit Numbers by Numbers up to 9 (With Remainder)

4.2.9.3. Divide 4-Digit Numbers by Numbers up to 9 (With Remainder)

4.2.9.4. Divide 5-Digit Numbers by Numbers up to 9 (With Remainder)

4.2.9.5. Divide 3-Digit Numbers by Numbers up to 19 (With Remainder)

4.2.9.6. Divide 4-Digit Numbers by Numbers up to 19 (With Remainder)

4.2.9.7. Divide 5-digit Numbers by Numbers up to 19 (With Remainder)

4.2.10. Relationship between Divisor, Quotient, and Dividend

4.2.12. Word Problems on Division (No remainder)

4.2.12.1. Word Problems on Division of Two or Three-Digit Numbers (No Remainder)

4.2.12.2. Word Problems on Division of Four or Five-Digit Numbers (No Remainder)

4.2.13. Word Problems on Division (With Remainder)

4.2.13.1. Word Problems on Division of Two or Three-Digit Numbers (With Remainder)

4.2.13.2. Word Problems on Division of Four or Five-Digit Numbers (With Remainder)

4.2.13.3. More Word Problems on Division

5. Mixed Operations

5.1. Word Problems on Mixed Operations

6. Money

6.1. Currency

6.2. Express Money in Words

6.3. Express Money in Figures

6.4. Convert to Paise

6.4.1. Convert Rupees to Paise

6.4.2. Convert 'Rupees and Paise' to Paise

6.5. Convert from Paise

6.5.1. Convert Paise to Rupees

6.5.2. Convert Paise to 'Rupees and Paise'

6.5.3. Convert 'Rupees and paise' to Amount in Figures

6.6. Denominations

6.7. Addition of Money

6.7.1. Addition of Money by Converting to Paise

6.7.2. Column-Wise Addition of Amounts in Rupees and Paise

6.8. Subtraction of money

6.8.1. Subtraction of Money by Converting Paise

6.8.2. Column-Wise Subtraction of Amounts in Rupees and Paise

6.9. Multiplication of Money by a Whole Number

6.10. Word problems on money

6.10.1. Word Problems on Money Involving Addition

6.10.2. Word Problems on Money Involving Subtraction

6.10.3. Word Problems on Money Involving Both Addition and Subtraction

6.10.4. Word Problems on Money Involving Multiplication by a Whole Number

6.10.5. Word Problems on Money Involving a Mix of Addition, Subtraction, and Multiplication by a Whole Number

7. Fractions

7.1. Knowing Fractions

7.1.1. Understand Fractions as Parts of a Whole

7.1.2. Identify Fractions as Parts of a Whole

7.2. Representing Fractions

7.2.1. Fractional Numbers

7.2.1.1. Identify Fractional Numbers

7.2.1.2. Write Fractional Numbers as Fractions

7.2.1.3. Write Fractions as Fractional Numbers

7.2.2. Representing Fractions on the Number Line

7.3. Numerator and Denominator of a Fraction

7.4. Like and Unlike Fractions

7.5. Compare Like Fractions

7.6. Order Like Fractions

7.6.1. Arrange like fractions in ascending order

7.6.2. Arrange like fractions in descending order

7.7. Decimal Numbers as Fractions

7.8. Arithmetic with Fractions

7.8.1. Addition of Like Fractions

7.8.2. Subtraction of Like Fractions

7.9. Word Problems: Arithmetic with Fractions

7.9.1. Word Problems on Addition of Like fractions

7.9.2. Word Problems on Subtraction of Like fractions

7.9.3. Word Problems on Mixed Operations on Fractions

7.9.4. Word Problems on Fractional Numbers

8. Measurement

8.1. Measurement of Length

8.1.1. Metric Units of Length

8.1.2. Compare and Convert Metric Units of Length

8.1.2.1. Convert Metres to Centimetres

8.1.2.2. Convert Centimetres to Metres

8.1.2.3. Convert 'Metres and Centimetres' to Metres

8.1.2.4. Convert Centimetres to 'Metres and Centimetres'

8.1.2.5. Convert Kilometres to Metres

8.1.2.6. Convert Metres to Kilometres

8.1.2.7. Convert 'Kilometres and Metres' to Metres

8.1.2.8. Convert Metres to 'Kilometres and Metres'

8.1.3. Addition of Lengths

8.1.3.1. Addition of Lengths Given in Metres and Centimetres

8.1.3.2. Addition of Lengths Given in Kilometres and metres

8.1.4. Subtraction of Lengths

8.1.4.1. Subtraction of Lengths Given in Metres and Centimetres

8.1.4.2. Subtraction of Lengths Given in Kilometres and Metres

8.1.5. Word Problems on Length

8.1.5.1. Word Problems Involving Addition of Length Measurements

8.1.5.2. Word Problems Involving Subtraction of Length Measurements

8.1.5.4. Word Problems Involving Multiplication of Length Measurements

8.1.5.5. Word Problems Involving Division of Length Measurements

8.1.5.6. Word Problems Involving Mixed Operations on Length Measurements

8.2. Measurement of Weight

8.2.1. Metric Units of Weight

8.2.2. Weighing Objects

8.2.2.1. Weighing Objects Using Reference Weights

8.2.2.2. Weighing Objects Using Scales and Balances

8.2.3. Compare and Convert Metric Units of Weight

8.2.3.1. Convert Grams to Kilograms

8.2.3.2. Convert Kilograms to Grams

8.2.3.3. Convert 'Kilograms and Grams' to Grams

8.2.3.4. Convert Grams to 'Kilograms and Grams'

8.2.3.5. Compare Metric Units of Weight

8.2.4. Addition of Weights

8.2.4.1. Addition of Weights (Similar Units)

8.2.4.2. Addition of Weights (Different Units)

8.2.5. Subtraction of Weights

8.2.5.1. Subtraction of Weights (Similar Units)

8.2.5.2. Subtraction of Weights (Different Units)

8.2.6. Word Problems on Weight

8.2.6.1. Word Problems Involving Addition of Weights

8.2.6.2. Word Problems Involving Subtraction of Weights

8.2.6.3. Word Problems Involving Addition and Subtraction of Weights

8.2.6.4. Word Problems Involving Mixed Operations on Weights

8.3. Measurement of Capacity/Volume

8.3.1. Metric Units of Capacity/Volume

8.3.2. Measuring Capacity/Volume Using Reference Containers

8.3.3. Compare and Convert Metric Units of Capacity/Volume

8.3.3.1. Convert Litres to Millilitres

8.3.3.2. Convert Millilitres to Litres

8.3.3.3. Convert 'Litres and Millilitres' to Millilitres

8.3.3.4. Convert Millilitres to 'Litres and Millilitres'

8.3.4. Addition and Subtraction of Capacities/Volumes

8.3.4.1. Addition of Capacities/Volumes (Similar Units)

8.3.4.2. Addition of Capacities/Volumes (Different Units)

8.3.4.3. Subtraction of Capacities/Volumes (Similar Units)

8.3.4.4. Subtraction of Capacities/Volumes (Different Units)

8.3.5. Word Problems on Capacity/Volume

8.3.5.1. Word Problems Involving Addition of Capacities/Volumes

8.3.5.2. Word Problems Involving Subtraction of Capacities/Volumes

8.3.5.3. Word Problems Involving Both Addition and Subtraction of Capacities/Volumes

8.3.5.4. Word Problems Involving Mixed Operations on Capacities/Volumes

8.3.6. Estimating Volume of Liquid in a Vessel

9. Time

9.1. Clocks

9.1.1. Basic Facts About Clocks and Time

9.1.2. Read Time on Clocks

9.1.2.1. Read Time on Analogue Clocks

9.1.2.1.1. Read and Show Time on Analogue Clocks (Correct to the Hour)

9.1.2.1.2. Read and Show Time on Analogue Clocks (Half Hour Intervals)

9.1.2.1.3. Read and Show Time on Analogue Clocks (15 Minute Intervals)

9.1.2.1.4. Read and Show Time on Analogue Clocks (Five Minute Intervals)

9.1.2.1.5. Identify the Clock Showing the Time Between Two Given Time Intervals

9.1.2.1.6. Find the Actual Time When the Clock is Running Either Slow or Fast

9.3. Elapsed Time

9.4. Convert from One Unit of Time to Other

9.4.1. Convert Days to Hours

9.4.2. Convert Hours to Minutes

9.4.3. Convert Hours to Seconds

9.4.4. Convert Minutes to Hours

9.4.5. Convert Seconds to Hours

9.4.6. Convert Minutes to Seconds

9.4.7. Convert Hours to Days

10. Calendar

10.1. Days, Weeks, Months and Years

10.1.1. Days of the Week

10.1.2. Months of the Year

10.1.3. Number of Days in Each Month of a Year

10.1.4. Relation between Days and Weeks

10.1.5. Relation between Days and Months

10.1.6. Relation between Years and Months

10.1.7. Relation between Years and Weeks

10.1.8. Finding the Number of Minutes in a Given Months

10.1.9. Century, Leap and Ordinary Years

10.1.9.1. Century Year

10.1.9.2. Leap Year

10.1.9.3. Ordinary year

10.2. Dates

10.2.1. Computing the Number of Days Between Two Dates

10.2.2. Computing the Number of Years Between Two Dates

10.3. Word Problems on Calendar

11. Geometry

11.1. Point, Line Segment, Line and Ray

11.1.1. Definition of a Point

11.1.2. Definition of a Line Segment

11.1.3. Definition of a Line

11.1.4. Definition of a Ray

11.2. More About Points, Line Segments, Lines, and Rays

11.2.1. Measure Line Segments

11.2.3. Identify Line Segments in a Given Figure and Name Them

11.2.4. Parallel and Perpendicular Lines

11.3. Triangle, Quadrilateral, Rectangle, Square, and Circle

11.3.1. Triangles

11.3.1.1. Basic Definition of a Triangle

11.3.1.2. Identify Triangles

11.3.1.3. Types of Triangles

11.3.2. Quadrilaterals

11.3.2.1. Basic Definition of a Quadrilateral

11.3.2.2. Adjacent Sides of a Quadrilateral

11.3.2.3. Diagonals of a Quadrilateral

11.3.3. Rectangle

11.3.3.1. Basic Definition of a Rectangle

11.3.3.2. Rectangle as a Special Quadrilateral

11.3.4. Square

11.3.4.1. Basic Definition of a Square

11.3.4.2. Square as a Special Rectangle

11.3.5. Trapezium

11.3.5.1. Basic Definition of a Trapezium

11.3.6. Circle

11.3.6.1. Centre of a Circle

11.3.6.2. Radius of a Circle

11.3.6.3. Diameter of a Circle

11.3.6.4. Relation between Radius and Diameter of a Circle

11.3.6.5. Arc

11.3.6.6. Semi-circle

11.3.6.7. Circumference of a Circle

11.3.6.8. Concentric Circles

11.3.6.10. Chord

11.4. Solids

11.4.1. Understanding 2-D and 3-D Shapes

11.4.2. Cuboid

11.4.3. Cube

11.4.4. Cylinder

11.4.5. Sphere

11.4.6. Cone

11.4.7. Identify Solid Shapes

11.5. Tangrams

11.6. Tiling Geometrical Shapes

12. Symmetry

12.1. Concept of Symmetry

12.2. Identifying Symmetry in Shapes

12.3. Create Symmetric Shapes

12.4. Patterns

13. Data Interpretation

13.1. Data

13.1.1. Basic Definition of Data

13.2. Pictographs

13.2.1. Basic Definition of Pictographs

13.2.2. Represent Data as Pictographs

13.2.3. Interpreting Pictographs

13.3. Tally Marks

13.3.1. Collect Data Using Tally Marks

13.4. Bar Graphs

13.4.1. Interpreting Bar Graphs

14. Patterns

15. Logical Reasoning

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Class 3 NCERT (CBSE and ICSE) Understand Division

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