Class 5 Math Worksheets and Problems: HCF and LCM

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Factors and Multiples
HCF and LCM

Class 5 NCERT (CBSE and ICSE) HCF and LCM

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Master this topic as part of Factors and Multiples

Class 5

1. Roman Numeral (up to 500)

1.1. Introduction to Roman Numerals

1.2. Write Roman Numerals for Hindu-Arabic Numerals

1.3. Write Hindu-Arabic Numerals for Roman Numerals

1.4. Meaningless Roman Numerals

1.5. Compare Roman Numerals

1.6. Operations on Roman Numerals

2. Large Numbers

2.1. Representation of Large Numbers

2.1.1. Write Large Numbers by Separating the Periods

2.1.1.1. Write Large Numbers by Separating the Periods (Indian Number System)

2.1.1.2. Write Large Numbers by Separating the Periods (International Number System)

2.1.2. Write Numerals as Number Names

2.1.2.1. Write Numerals as Number Names (Indian Number System)

2.1.2.2. Write Numerals as Number Names (International Number System)

2.1.3. Write Number Names as Numerals

2.1.3.1. Write Number Names as Numerals (Indian Number System)

2.1.3.2. Write Number Names as Numerals (International Number System)

2.1.4. Relation Between Different Periods

2.1.4.1. Relation Between Different Periods (Indian Number System)

2.1.4.2. Relation Between Different Periods (International Number System)

2.1.5. Numbers in Expanded Form

2.2. Successor and Predecessor

2.2.1. Successor of a Number

2.2.2. Predecessor of a Number

2.3. Place of a Digit

2.4. Compare Large Numbers

2.5. n Digit Numbers

3. Operations on Large Numbers

3.1. Addition

3.1.1. Addition

3.1.2. Word Problems on Addition

3.2. Subtraction

3.2.1. Subtraction

3.2.2. Word Problems on Subtraction

3.3. Multiplication

3.3.1. Properties of multiplication

3.3.2. Multiplication

3.3.3. Word Problems on Multiplication

3.4. Division

3.4.1. Division

3.4.2. Word Problems on Division

4. Simplification

4.1. Numerical Expressions Without Brackets (DMAS)

4.2. Numerical Expressions With Brackets (BODMAS)

5. Factors and Multiples

5.1. Factors and Multiples of a Number

5.1.1. Finding Factors of a Number

5.1.2. Finding Multiples of a Number

5.1.3. Problems on Factors and Multiples

5.1.4. Properties of Factors and Multiples

5.1.5. Types of Numbers

5.1.5.1. Odd and Even Numbers

5.1.5.1.1. Even numbers

5.1.5.1.2. Odd numbers

5.1.5.1.3. Properties of Odd and Even numbers

5.1.5.2. Prime and Composite Numbers

5.1.5.2.1. Definition

5.1.5.2.2. Composite Numbers

5.1.5.2.3. Prime Numbers

5.1.5.2.4. Properties of Composite and Prime

5.1.5.3. Twin Primes

5.1.5.4. Co-Primes

5.2. Tests of Divisibility

5.2.1. Test Divisibility by 2

5.2.2. Test Divisibility by 3

5.2.3. Test Divisibility by 4

5.2.4. Test Divisibility by 5

5.2.5. Test Divisibility by 6

5.2.6. Test Divisibility by 7

5.2.7. Test Divisibility by 8

5.2.8. Test Divisibility by 9

5.2.9. Test Divisibility by 10

5.2.10. Test Divisibility by 11

5.3. Prime Factors of a Number

5.3.1. By Factor Tree Method

5.3.2. By Prime Factorization

5.4. HCF and LCM

5.4.1. HCF (Highest Common Factor)

5.4.2. LCM (Lowest Common Multiple)

5.4.3. Properties of LCM and HCF

5.4.4. Word Problems on HCF and LCM

6. Fractions

6.1. Like and Unlike Fractions

6.2. Unit Fraction

6.3. Proper, Improper and Mixed Fractions

6.3.1. Understand the Meaning of Proper, Improper and Mixed Fractions

6.3.2. Convert Improper Fractions to Mixed Fractions

6.3.3. Convert Mixed Fractions to Improper Fractions

6.4. Equivalent Fractions

6.5. Simplest Form of a Fraction

6.6. Compare Fractions

6.6.1. Compare Fractions with Like Denominators

6.6.2. Compare Fractions with Like Numerators

6.6.3. Compare Fractions with Unlike Denominators and Unlike Numerators

7. Addition and Subtraction of Fractions

7.1. Addition of Fractions

7.1.1. Addition of Like Fractions

7.1.2. Addition of Unlike Fractions

7.1.3. Addition of Mixed Fractions

7.2. Subtraction of Fractions

7.2.1. Subtraction of Like Fractions

7.2.2. Subtraction of Unlike Fractions

7.2.3. Subtraction of Mixed Fractions

7.3. Mixed Problems on Addition and Subtraction

7.4. Word Problems on Addition and Subtraction of Fractions

8. Multiplication and Division of Fractions

8.1. Multiplication of Fractions

8.1.1. Multiplication of a Fraction by a Whole Number

8.1.2. Multiplication of a Fraction by a Fraction

8.1.3. Word Problems on Multiplication of Fractions

8.1.4. Fraction of a Fraction

8.2. Division of Fractions

8.2.1. Multiplicative Inverse or Reciprocal of a Fraction

8.2.2. Division of a Fraction by a Fraction

8.2.3. Division of a Fraction by a Whole Number

8.2.4. Division of a Whole Number by a Fraction

8.2.5. Word Problems on Division of Fractions

9. Decimals

9.1. Reading a Decimal Number

9.2. Place Value Chart

9.3. Pictorial Representation of a Decimal Number

9.4. Expanded Form of Decimal Numbers

9.5. Like and Unlike Decimals

9.6. Comparing Decimals

9.7. Ordering Decimals

9.8. Relate Decimals and Fractions

9.8.1. Convert Decimals to Fractions

9.8.1.1. Convert Decimals to Proper Fractions

9.8.1.2. Convert Decimals to Improper Fractions

9.8.1.3. Convert Decimals to Mixed Fractions

9.8.2. Convert Fractions to Decimals

9.8.2.1. Convert Fractions with Denominators as Powers of 10 to Decimals

9.8.2.2. Convert Any Fractions to Decimals

9.9. Operations on Decimals

9.9.1. Addition and Subtraction of Decimals

9.9.1.1. Addition of Decimals

9.9.1.2. Subtraction of Decimals

9.9.1.3. Mixed Operations on Decimals: Addition and Subtraction

9.9.1.4. Word problems on Addition and Subtraction of Decimals

9.10. Multiplication and Division of Decimals

9.10.1. Multiplication of Decimals

9.10.1.1. Multiplying a Decimal by 10, 100, 1000 etc

9.10.1.2. Multiplying a Decimal by a Whole Number

9.10.1.3. Multiplication of Two/Three Decimals

9.10.1.4. Word Problems on Multiplication of Decimals

9.10.2. Division of Decimals

9.10.2.1. Division of a Decimal by 10, 100, 1000 etc

9.10.2.2. Division of a Decimal by a Multiple of 10, 100, 1000 etc

9.10.2.3. Division of a Decimal by a Whole Number

9.10.2.4. Division of a Decimal by a Decimal

9.10.2.5. Division of a Whole Number by a Decimal

9.10.2.6. Word Problems on Division of Decimals

10. Rounding Numbers

10.1. Rounding off the Numbers

10.1.1. Rounding Off to the Nearest Ten

10.1.2. Rounding Off to the Nearest Hundred

10.1.3. Rounding Off to the Nearest Thousand

10.1.4. Rounding off to the Nearest Ten Thousand

10.1.5. Rounding Off to the Nearest Lakh

10.1.6. Rounding Off to the Nearest ten-lakh

10.1.7. Rounding Off to the Nearest Crore

10.2. Rounding off the Decimals

10.2.1. Rounding Off to the Nearest One

10.2.2. Rounding Off to the Nearest Tenth

10.2.3. Rounding Off to the Nearest Hundredth

10.2.4. Rounding Off to the Nearest Thousandth

11. Measurement

11.1. Measures of Length

11.1.1. Conversion of Metric Units of Length

11.1.1.1. Conversion from Higher to Lower Units of Length

11.1.1.2. Conversion from Lower to Higher Units of Length

11.1.2. Addition and Subtraction of Length Measures

11.1.2.1. Addition of Lengths

11.1.2.2. Subtraction of Lengths

11.1.3. Multiplication and Division of Length Measures

11.1.3.1. Multiplication of Lengths

11.1.3.2. Division of Lengths

11.1.4. Word Problems on Length

11.1.4.1. Word Problems on Addition and Subtraction of Lengths

11.1.4.2. Word Problems on Multiplication and Division of Lengths

11.2. Measures of Mass/Weight

11.2.1. Conversion of Metric Units of Mass

11.2.1.1. Conversion from Higher to Lower Units of Mass

11.2.1.2. Conversion from Lower to Higher Units of Mass

11.2.2. Addition and Subtraction of Mass Measures

11.2.2.1. Addition of Mass

11.2.2.2. Subtraction of Mass

11.2.3. Multiplication and Division of Mass Measures

11.2.3.1. Multiplication of Mass

11.2.3.2. Division of Mass

11.2.4. Word Problems on Mass

11.2.4.1. Word Problems on Addition and Subtraction of Mass

11.2.4.2. Word Problems on Multiplication and Division of Mass

11.3. Measures of Capacity/Volume

11.3.1. Conversion of Metric Units of Capacity

11.3.1.1. Conversion from Higher to Lower Units of Capacity

11.3.1.2. Conversion from Lower to Higher Units of Capacity

11.3.2. Addition and Subtraction of Capacity Measures

11.3.2.1. Addition of Capacity in Liters and Milliliters

11.3.2.2. Subtraction of Capacity in Liters and Milliliters

11.3.3. Multiplication and Division of Capacity

11.3.3.1. Multiplication of Capacity

11.3.3.2. Division of Capacity

11.3.4. Word Problems on Capacity

11.3.4.1. Word Problems on Addition and Subtraction of Capacity

11.3.4.2. Word Problems on Multiplication and Division of Capacity

12. Average

13. Percentage

13.1. Convert a Fraction into Percentage

13.2. Convert a Percentage into Fraction

13.3. Convert Decimal into Percentage

13.4. Convert Percentage into Decimal

13.5. Percentage of a Quantity

13.6. Word Problems on Percentage

14. Time

14.1. 24-Hour Clock Time

14.1.1. Understanding 24-Hour Clock Time

14.1.2. Conversion from 24-Hour Clock Time to 12-Hour Clock Time

14.1.3. Conversion from 12-Hour Clock Time to 24-Hour Clock Time

14.2. Use of 'AM' and 'PM'

14.3. Converting Higher Units into Lower Units

14.4. Converting Lower Units into Higher Units

14.5. Addition and Subtraction of Time

14.5.1. Addition of Time

14.5.2. Subtraction of Time

14.5.3. Word Problems on Time

15. Money

15.1. Conversion of Money

15.1.1. Convert Rupees to Paise

15.1.2. Convert Paise to Rupees

15.2. Addition and Subtraction of Money

15.2.1. Addition of Money

15.2.2. Subtraction of Money

15.3. Multiplication and Division of Money

15.3.1. Multiplication of Money by a Whole Number

15.3.2. Division of Money by a Whole Number

15.4. Word problems on Money

15.4.1. Word Problems on Addition of Money

15.4.2. Word Problems on Subtraction of Money

15.4.3. Word Problems on Multiplication of Money

15.4.4. Word Problems on Division of Money

16. Geometry

16.1. Understand the Basic Terms in Geometry (Point, Line, line segment, ray, and Plane)

16.2. Types of Lines

16.2.1. Parallel Lines

16.2.2. Perpendicular Lines

16.2.3. Intersecting Lines

16.2.4. Identifying the Type of Line

16.3. Set Squares

16.4. Collinear and Non-Collinear Points

16.5. Triangles

16.5.1. Introduction to Triangles

16.5.2. Various Types of Triangles by Considering the Lengths of their Sides

16.5.3. Various Types of Triangles by Considering their Angles

16.5.4. The Possibility of Forming a Triangle with Sides of Given Lengths

16.5.5. Angle Sum Property of a Triangle

16.6. Circle

16.6.1. Draw a Circle with the help of a Compass

16.6.2. Terms Related to a Circle

16.6.3. Radius and Diameter of a Circle

16.6.4. Interior and Exterior of a Circle

16.6.5. Concentric Circles

17. Concept of Angles

17.1. Introduction to Angles

17.2. Naming an Angle

17.3. Interior and Exterior of an Angle

17.4. Comparison of Angles

17.5. Measuring an Angle by a Protractor

17.6. Classification of Angles

17.7. Pairs of Relates Angles

17.7.1. Complementary Angles

17.7.2. Supplementary Angles

17.8. Drawing Angles using a Protractor

18. Perimeter

18.1. Understanding the Concept of Perimeter

18.2. Perimeter of a Rectilinear Figure

18.3. Perimeter of a Triangle

18.4. Perimeter of a Rectangle

18.5. Perimeter of a Square

19. Area

19.1. Area of a Rectangle

19.2. Area of a Square

20. Volume of Solids

20.1. Volume of a Cuboid

20.2. Volume of a Cube

21. Symmetry

21.1. Line symmetry

21.2. Rotational symmetry

22. Pattern

22.1. Number Patterns

22.2. Figure Patterns

22.3. Magic Squares

23. Pictograph and Bar Graph

23.1. Pictograph

23.1.1. Introduction to Pictograph

23.1.2. Drawing Pictographs

23.1.3. Interpreting Pictographs

23.2. Bar Graph

23.2.1. Drawing Bar Graphs

23.2.2. Interpreting Bar Graphs

24. Three Dimentional Geometry (Boxes and Sketches)

24.1. Identify Different Solid Shapes (Cuboid, Cube, Cone, Cylinder, Sphere, Prism, and Pyramids)

24.2. Solid Shapes Around Us

24.3. Vertices, Edges and Faces of Solid Objects

24.4. Net of a 3-D Shape

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