Worksheets

Grade 6 - Mathematics

Topic 1. Number Sense and Numeration

ChapterDate
1. Place Value - Numbers through Billions .
2. Numbers in Words - Up to Billions .
3. Words to Numbers Up to Billions .
4. Multiplying Large Numbers .
5. Dividing Large Numbers.
6. Rounding to Nearest Million .
7. Difference of Place Value.
8. Sum of Place Value.
9. Changing Roman Numerals into Indo Arabic Numerals.
10. Changing Indo Arabic Numerals into Roman Numerals.
11. Converting Binary System Into Decimal System.
12. Converting Decimal System Into Binary System.
13. Properties of Whole Numbers (Addition).
14. Properties of Whole Numbers (Multiplication).
15. Properties of Whole Numbers (Subtraction).
16. Properties of Whole Numbers (Division).
17. Factors and Multiples.
18. Multiples of Numbers up to 50 .
19. Factors of Numbers up to 500 .
20. Prime Numbers, Twin Primes and Composite Numbers.
21. Prime Factorization of Numbers up to 1000 .
22. Criteria of Divisibility By 2.
23. Criteria of Divisibility By 3.
24. Criteria of Divisibility By 4.
25. Criteria of Divisibility By 5.
26. Criteria of Divisibility By 6.
27. Criteria of Divisibility By 7.
28. Criteria of Divisibility By 8.
29. Criteria of Divisibility By 9.
30. Division by Zero.
31. Criteria of Divisibility By 10.
32. Criteria of Divisibility By 11.
33. Divisibility Test - Numbers up to 10,000 .
34. Divisibility Review.
35. GCF - Greatest Common Factor.
36. GCD - Prime Factors Method.
37. GCD - Division Method (Euclid Algorithm).
38. GCF - Greatest Common Factor .
39. LCM - Least Common Multiple.
40. LCM - Prime Factors Method.
41. LCM - Division Method.
42. LCM - Least Common Multiple .
43. Relation Between G.C.D. and L.C.M..
44. Numeration Review Test.

Topic 2. Integers

ChapterDate
1. Operations with Integers .
2. Integers: Four Basic Operations Using Signed Numbers - Table.
3. Subtracting Integers using Number Line.
4. Adding Integers using Number Line.
5. Integer Story Problems.
6. Integer Multiplication Table.
7. Integer Coordinates.
8. Integers - Positive and Negative Integers.
9. Integers on Number Line.
10. Powers of Integers - II.
11. Powers of Integers I.
12. Properties of Division in Integers.
13. Division in Integers.
14. Properties of Multiplication in Integers.
15. Multiplication of Integers.
16. Subtraction in Integers.
17. Properties of Addition in Integers.
18. Addition of Integers.
19. Write the Integers in Ascending or Descending Order.
20. Comparing Integers - Smaller or Larger.
21. Integers.
22. Expressing Using Integers.
23. Absolute Value of Integer.
24. Integers Review Test.

Topic 3. Rational Numbers

ChapterDate
1. Type of Numbers: Natural, Whole, Integers, Rational, Irrational & Real.
2. Rational Numbers.
3. Comparing Rational Numbers - I.
4. Comparing Rational Numbers - II.
5. Addition of Rational Numbers - I.
6. Addition in Rational Numbers - II.
7. Properties of Rational Numbers (Addition).
8. Additive Inverse and Additive Identity in Rational Numbers.
9. Subtraction in Rational Numbers - I.
10. Subtraction in Rational Numbers - II.
11. Multiplication in Rational Numbers - I.
12. Multiplication in Rational Numbers - II.
13. Properties of Rational Numbers (Multiplication).
14. Multiplicative Identity and Multiplicative Inverse.
15. Division in Rational Numbers - I.
16. Division in Rational Numbers - II.
17. Operations of Rational Numbers - Review.
18. Simplifying Rational Numbers - I.
19. Simplifying Rational Numbers - II.
20. Simplifying Rational Numbers - III.
21. Arranging Rational Numbers in Ascending Order.
22. Real Numbers.
23. Irrational Numbers.
24. Fractions and Decimals.
25. Arranging Rational Numbers in Descending Order.
26. Rational Numbers - More Than One Operation.
27. Rational Numbers Word Problems.
28. Rational Numbers Review Test.

Topic 4. Fractions

ChapterDate
1. Fractions.
2. Types of Fractions.
3. Comparing Fractions.
4. Comparing Fractions - Another Method.
5. Arranging Fractions in Ascending or Descending Order.
6. Operation on Fractions.
7. Fractions of Quantities.
8. Order of Operations: P E M D A S or B O D M A S.
9. Order of Operations.
10. Word Problems.
11. Fractions Word Problems - 1.
12. Fractions Word Problems - 2.
13. Fractions Word Problems - 3.
14. Fractions Review Test.

Topic 5. Decimals

ChapterDate
1. Division of a Whole Number by Whole Number (Other Than Zero).
2. Decimal Place Value upto Hundred-Thousandths .
3. Addition In Decimal Fractions.
4. Subtraction In Decimal Fraction.
5. Multiplication In Decimals - (Multiply by 10,100, and 1000).
6. Multiplication In Decimals - (Multiply by Natural Number).
7. Multiplication In Decimals - (Multiply by Decimal Number).
8. Division In Decimals - (Divide by 10,100, and 1000).
9. Division In Decimals - (Divide by Natural Number).
10. Division In Decimals - (Division by Decimal Number).
11. Decimal Sums .
12. Decimal Differences .
13. Decimal Products .
14. Decimal Division .
15. Decimal Word Problems - 1.
16. Decimals Word Problems - 2.
17. Decimals Review.
18. Decimals Review - II.
19. Decimal Word Problems - Challenging.
20. Converting Decimals to Common Fractions.
21. Converting Common Fractions To Decimals.
22. Decimal Review Test.

Topic 6. Mixed Fractions

ChapterDate
1. Mixed Fractions and Improper Fractions.
2. Addition of Mixed Numbers.
3. Addition of Three Mixed Numbers.
4. Subtraction of Mixed Numbers.
5. Addition and Subtraction of Mixed Numbers.
6. Addition and Subtraction of Mixed Fractions with Unlike Denominators.
7. Subtraction of Mixed Fractions - 2.
8. Multiplication of Mixed Numbers.
9. Multiplication of Mixed Fractions - 2.
10. Division of Mixed Numbers.
11. Reciprocal of a Number.
12. Division of Mixed Fractions - 2.
13. Multiple Operations with Mixed Fractions.
14. Comparing Mixed Numbers.
15. Mixed Fractions: Word Problems.
16. Fractions, Decimals and Mixed Numbers - Review Test.

Topic 7. Ratios or Fractions

ChapterDate
1. Ratios Review Test.
2. Ratios Review.
3. Representative Ratio and Representative Fraction.
4. Representative Fractions.
5. Representative Ratio.
6. Inverse Variation or Inverse Proportion.
7. Direct Variation or Direct Proportion.
8. Find the Missing Number in a Proportion.
9. Mean Proportional.
10. Find if the Given Numbers are in Proportion.
11. Proportion - II.
12. Proportion - I.
13. Ratio Word Problems - 2.
14. Find A:B:C from A:B and B:C.
15. Find The Greater Ratio In Each Pair.
16. Ratio Word Problems.
17. Simplifying Ratios.
18. Ratio Compares Quantities of the Same Kind.
19. Properties of Ratios - III.
20. Properties of Ratios - II.
21. Properties of Ratios - I.
22. Ratio.

Topic 8. Percentages

ChapterDate
1. Percents.
2. Percentages.
3. Fraction of a Collection Using Pictures.
4. Percentages For Numbers Using Pictures.
5. Fractions to Percents .
6. Saving Bank Account.
7. Simple Interest Word Problems.
8. Problems on Simple Interest.
9. Simple Interest.
10. Profit and Loss Word Problems - II.
11. Profit and Loss Word Problems - I.
12. Profit and Loss Table.
13. Finding Loss Percentage.
14. Finding Profit Percentage.
15. Cost Price, Selling Price, and Loss.
16. Percentage Word Problems - 2.
17. Cost Price, Selling Price, and Profit.
18. Percentage Word Problems - 1.
19. Percentage Table - IV.
20. Percentage Table - III.
21. Percentage Decrease.
22. Percentage Increase.
23. Find the Required Percent Of a Given Quantity.
24. Percentage Table - II.
25. Percentage Table - I.
26. Expressing One Quantity as a Percentage of Another Quantity.
27. Convert Percents to Decimals.
28. Convert Decimals to Percents.
29. Convert Percents to Fractions.
30. Convert Fractions to Percents.
31. Fraction - Decimal - Percent.
32. Percentages Review Test.

Topic 9. Geometry

ChapterDate
1. Supplementary Angles.
2. Complementary Angles.
3. Adjacent, Congruent, Linear Pair, and Vertically Opposite Angles.
4. Geometry Test.
5. Parallel Lines.
6. Transversal.
7. Angles Made By A Transversal With Two Lines - I.
8. Angles Made by a Transversal With Two Parallel Lines - II.
9. Triangles and Polygons.
10. Perimeter of a Triangle.
11. Classifying Triangles by Sides.
12. Classifying Triangles by Angles.
13. Triangle Sum Theorem.
14. Relation Between Sides and Angles of a Triangle.
15. Circles - I.
16. Circle - II.
17. Circumference of a Circle.
18. Constructing a Circle of a Given Radius.
19. Geometry Review.
20. Geometry Review Test.
21. Basic Geometrical Concepts - Points and Lines.
22. Basic Geometrical Concepts - Parallel Lines, Collinear Points and Plane.
23. Basic Geometrical Concepts - Coplanar Points, Coplanar Lines, Concurrent Lines and Space.
24. Basic Geometrical Concepts.
25. Line Segments.
26. Comparison of Two Line Segments - By Observation.
27. Comparison of Two Line Segments - With a Sheet of Paper.
28. Comparison of Two Line Segments - With a Divider.
29. Measuring Length of Line Segment using Graduated Ruler.
30. Betweenness.
31. Midpoint of Line Segment.
32. Addition and Subtraction of Lengths of Line Segments.
33. Rays.
34. Angle.
35. Interior and Exterior of An Angle.
36. Measuring an Angle with a Protractor - I.
37. Classifying Angles.
38. Find the Correct Angle.
39. Constructing a Line Segment of a Given Length.
40. Constructing an Angle of a Given Measure.

Topic 10. Measurement

ChapterDate
1. Measurement Facts - U.S. Customary System and Metric System.
2. Measurement Facts - Units of Time.
3. Convert Units of Length - Metric & US Customary System .
4. Convert Units of Weight - Metric & US Customary Systems .
5. Convert Units of Capacity - Metric and US Customary Systems .
6. Changing U.S Customary Units of Volume .
7. Changing Metric Units of Volume .
8. Measurement Review Test.

Topic 11. Probability and Statistics

ChapterDate
1. Probability.
2. Probability - The Study of Chance.
3. Statistics: Mean, Median, Mode and Range.
4. Statistics and Graphs: Bar Graphs, Line graphs, Pictographs and Tally Marks.
5. Circle Graph.
6. Histogram or Histograph.
7. Probability and Statistics Review Test.

Topic 12. Algebraic Operations and Analytical Thinking

ChapterDate
1. Variable.
2. Variables And Constants.
3. Basic Operations With Variables - I.
4. Basic Operations With Variables - II.
5. Algebraic Expressions.
6. Translating Verbal Statements into Algebraic Expressions.
7. Monomial, Binomial, Trinomial, and Multinomial.
8. Algebra Review.
9. Algebraic Equations.
10. Linear Equations.
11. Linear Equations - 2.
12. Exponent/Index and Base.
13. Exponents.
14. Exponents - Product Form.
15. Exponents - I.
16. Exponents - 2.
17. Negative Exponents.
18. Equations Review.
19. Solving Equations.
20. Solving Equations - 2.
21. Order of Operations.
22. Order of Operations - 2.
23. Order of Operations Involving +, -, and * .
24. Order of Operations .
25. Algebraic Equations and Expressions.
26. Solving Equations - 3.
27. Equations and Expressions.
28. Properties.
29. Coefficient.
30. Like and Unlike Terms.
31. Value of an Algebraic Expression - I.
32. Value of An Algebraic Expression - II.
33. Value of an Algebraic Expression - III.
34. Value of an Algebraic Expression - IV.
35. Addition of Monomials.
36. Addition of Binomials - I.
37. Addition of Binomials - II.
38. Addition of Trinomials - I.
39. Addition of Trinomials - II.
40. Additive Inverse.
41. Subtraction of Monomials.
42. Subtraction of Binomials - I.
43. Subtraction of Binomials - II.
44. Subtraction of Trinomials - I.
45. Subtraction of Trinomials - II.
46. Simplification of Expressions - I.
47. Simplification of Expressions - II.
48. Simplification of Expressions - III.
49. Multiplication of Monomials - I.
50. Multiplication of Monomials - II.
51. Multiplication of Monomials - III.
52. Multiplication of Monomials - IV.
53. Multiplication of Monomials - V.
54. Multiplication of Monomials - VI.
55. Multiplication of Monomials - VII.
56. Multiplication of Monomials - VIII.
57. Multiplication of a Monomial and a Binomial - I.
58. Multiplication of a Monomial and a Binomial - II.
59. Multiplication of a Monomial and a Binomial - III.
60. Multiplication of a Monomial and a Binomial - IV.
61. Multiplication of a Monomial and a Binomial - V.
62. Multiplication of a Monomial and a Trinomial - I.
63. Multiplication of a Monomial and a Trinomial - II.
64. Multiplication of a Monomial and a Trinomial - III.
65. Multiplication of two Binomials.
66. Multiplication - I.
67. Multiplication - II.
68. Multiplication - III.
69. Mathematical Statement.
70. Root of an Equation - I.
71. Root of an Equation - II.
72. Root of an Equation - III.
73. Linear and Non-Linear Equations.
74. L.H.S and R.H.S - I.
75. L.H.S and R.H.S - II.
76. Domain of a Variable.
77. Solving an Equation by Guess Method.
78. Applications of Simple Equations.
79. Verbal Problems - I.
80. Verbal Problems - II.
81. Review I.
82. Review - II.
83. Algebra Review Test.

Topic 13. Review Tests

ChapterDate
1. Final Review Test.