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Aim4A Worksheets

Grade 8 - Mathematics

Topic 1. Review of Real Numbers

ChapterDate
1. Type of Numbers: Natural, Whole, Integers, Rational, Irrational & Real.
2. Rational Numbers.
3. Irrational Numbers.
4. Real Numbers.
5. Terminating Decimals.
6. Non-Terminating Recurring Decimals - I.
7. Non-Terminating Recurring Decimals - II.
8. Non-Terminating Recurring Decimals - III.
9. Writing Pure Recurring Decimal into Rational Number Form - I.
10. Writing Pure Recurring Decimal into Rational Number Form - II.
11. Writing Pure Recurring Decimal into Rational Number Form - III.
12. Writing Mixed Recurring Decimal into Rational Number Form - I.
13. Writing Mixed Recurring Decimal into Rational Number Form - II.
14. Writing Mixed Recurring Decimal into Rational Number Form - III.
15. Converting Recurring Decimal into Non-Recurring Decimal - I.
16. Converting Recurring Decimal into Non-Recurring Decimal - II.
17. Convert Terminating Decimals into Non-Terminating Recurring Decimals.
18. Equations With Decimal Coefficients - II.
19. Equations With Fractional Coefficients - II.
20. Solution of Simple Equations - VI.
21. Solution of Simple Equations - V.
22. Solution of Simple Equations - VIII.
23. Word Problems - Digits.
24. Speed and Distance Word Problems.
25. Simple Equations Review - I.
26. Simple Equations Review - II.
27. Real Numbers Word Problems.
28. Real Numbers Review - I.
29. Real Numbers Review - II.
30. Square Root - I.
31. Square Root - II.
32. Review of Real Numbers.

Topic 2. Ratios and Proportions

ChapterDate
1. Ratio - I.
2. Ratio - II.
3. Proportion - I.
4. Proportion - II.
5. Direct Proportion - I.
6. Direct Proportion - II.
7. Inverse Proportion - I.
8. Compound Proportion.
9. Profit.
10. Loss.
11. Profit Percentage.
12. Loss Percentage.
13. Profit and Loss Word Problems.
14. Profit and Loss Word Problems - II.
15. Gain or Loss Percent Word Problems.
16. Review - VII.
17. Ratios Review.
18. Ratio and Proportion Review.

Topic 3. Geometry

ChapterDate
1. Geometry Formulas Summary.
2. Formula - Areas For 2 Dimensional Shapes.
3. Formulas - Perimeter of Two Dimensional Figures.
4. Formulas - Volumes of Three Dimensional Shapes.
5. Formulas - Surface and Lateral Surface Areas of Solids.
6. Formulas - Area of Circles.
7. Formulas - Area of Triangles.
8. Formulas - Area of Quadrilaterals.
9. Area of Triangle.
10. Area of a Scalene Triangle using Herons Formula.
11. Right Triangle - Pythagorean Theorem.
12. Isosceles Right Triangle.
13. Isosceles Right Triangle - 2.
14. Isosceles Right Triangle - 3.
15. Equilateral Triangle.
16. Area of Equilateral Triangle.
17. Equilateral Triangle - 2.
18. Equilateral Triangle - 3.
19. Isosceles Right Triangle - 4.
20. Area of a Square.
21. Perimeter of a Square.
22. Perimeter of a Rectangle.
23. Area of a Rectangle.
24. Parallelogram.
25. Area of Quadrilateral.
26. Area of Quadrilateral - 2.
27. Area of Rhombus.
28. Area of Trapezoid.
29. Area of the Field.
30. Area of a Circle - I.
31. Area of a Circle - 2.
32. Circumference of a Circle - I.
33. Circumference of a Circle - II.
34. Semicircle - I.
35. Semicircle - II.
36. Area of a Sector - I.
37. Area of a Sector - II.
38. Perimeter of a Sector.
39. Angle of a Sector.
40. Ring - I.
41. Ring - II.
42. Types of Triangles - Review.
43. Triangles & Rectangles Review.
44. Geometry Word Problems.
45. Triangles & Quadrilaterals.
46. Identify the Geometric Figures and Formulas.
47. Square, Rectangle, and Triangle Review.
48. Parallelogram, Rhombus, and Trapezium.
49. Circles Review.
50. Circles Review - 2.
51. Circles and Rings.
52. Arcs and Sectors.
53. Formulas of Geometric Figures - Review.
54. Geometry Review - I.
55. Geometry Review - II.
56. Geometry Review - III.
57. Geometry Review - IV.

Topic 4. Sets and Relations

ChapterDate
1. Roster Form - I.
2. Set Builder Form.
ÎandÏ.htm>3. Symbols Î and Ï.
4. Roster Form - II.
5. The Null Set or Empty Set or Void Set.
6. Finite and Infinite Sets.
7. Equality of Two Sets.
8. Comparing Sets : One - to - One Correspondence.
9. Cardinal Number of a Set.
10. Set, Subset and Super set.
11. Subset.
12. Proper Subset.
13. Disjoint Sets.
14. Venn Diagrams - I.
15. Venn Diagrams - II.
16. Venn Diagrams - III.
17. Venn Diagrams - IV.
18. Union of Two Sets - I.
19. Represent the Union of Sets in Venn Diagram - I.
20. Union of Two Sets - II.
21. Represent the Union of Sets in Venn Diagram - II.
22. Properties of Union.
23. Intersection of Two Sets - I.
24. Represent the Intersection of Sets in Venn Diagram - I.
25. Intersection of Two Sets - II.
26. Represent the Intersection of Sets in Venn Diagram - II.
27. Properties of Intersection.
28. Set Operations - Union.
29. Set Operations - Intersection.
30. Representation of Cartesian Product in Diagrams - I.
31. Cartesian Product of Two Sets - II.
32. Representation of Cartesion Product in Diagrams - II.
33. Graphical Representation of A X B.
34. Relations.
35. Drawing Venn Diagrams.
36. Cartesian Product of Two Sets - III.
37. Set and Its Complement.
CinVennDiagram.htm>38. Represent AC in Venn Diagram.
39. Set Operations Review.
ÇAc=Æ.htm>40. Proof of A Ç Ac = Æ.
ÈAc=U.htm>41. Proof of A È Ac = U.
42. Difference of Two Sets - I.
43. Difference of Two Sets - II.
44. Represent A-B and B-A in Venn Diagrams.
cÈBc=(AÇB)c45. AcÈ Bc =(AÇB)c.
46. Symmetric Difference of Two sets - I.
47. Cartesian Product of Two Sets - I.
48. Sets Review.
49. Sets - Basic Operations - Union, Intersection and Compliment.
50. Sets Word Problems.
51. Sets and Relations Review.

Topic 5. Elementary Number Theory

ChapterDate
1. Theorem - I.
2. Theorem - II.
3. Classification.
4. Prime Numbers.
5. Composite Numbers.
6. Sieve of Eratosthenes.
7. Twin Primes.
8. Factor and Multiple - I.
9. Factor and Multiple - II.
10. Perfect Numbers.
11. G.C.D. - I.
12. Greatest Common Factor - II.
13. Greatest Common Factor - III.
14. Greatest Common Factor - (Division Method).
15. Greatest Common Factor - (Word Problems) - I.
16. Numbers - Word Problems.
17. Greatest Common Factor - (Word Problems) - II.
18. Greatest Common Factor - (Word Problems) - III.
19. L.C.M..
20. L.C.M. - (Word Problems).
21. Relation between L.C.M. and G.C.D. - I.
22. Finding Number of Factors.
23. Relatively Prime Numbers.
24. Number Theory Review.
25. Number Theory Review - II.
26. Number Theory Review - III.
27. Number Theory Review - IV.

Topic 6. Exponents

ChapterDate
1. Multiplication Property - I.
2. Multiplication Property - II.
3. Multiplication Property - III.
4. The Power of a Power Property - I.
5. The Power of a Power Property - II.
6. The Power of Product Property - I.
7. The Division Property - I.
8. The Division Property - II.
9. The Power of a Quotient Property - II.
10. The Power of a Quotient Property - III.
11. Value of Exponent Expressions.
12. Value of Exponent Expressions - II.
13. Solving Equations with Exponents.
14. Solving Equations with Exponents - II.
15. Simplification.
thRootProblems-I.htm>16. nth Root Problems - I.
17. The Power of a Quotient Property - I.
thRootProblems-II.htm>18. nth Root Problems - II.
19. Exponents Review.
20. Exponents Review - 3.
21. Exponents Review - II.

Topic 7. Polynomials

ChapterDate
1. Multiplication of a Multinomial by a Monomial (Horizontal Method).
2. Multiplication of a Multinomial by a Monomial (Vertical Method).
3. Multiplication of Two Binomials (Horizontal Method).
4. Multiplication of Two Binomial (Vertical or Column Method).
5. Multiplication of Two Binomials - Using a Table.
6. Multiplication of Two Binomials - II.
7. Division of a Monomial by a Monimal - I.
8. Division of a Monomial by a Monimal - II.
9. Division of Binomial by a Monomial.
10. Division of Multinomial by Monomial.
11. Division of Multinomial by Binomial.
12. Division of Multinomial by Multinomial.
13. Formula for (a+b)^2 - Square of a Binomial.
2.htm>14. Solving Problems Using Formula for (a+b)2.
2-II.htm>15. Solving Problems Using Formula for (a+b)2 - II.
2.htm>16. Formula for (a-b)2.
2.htm>17. Solving Problems Using Formula for (a-b)2.
2-b2DifferenceofTwoSquares.htm>18. Formula for a2-b2 Difference of Two Squares.
2-b2.htm>19. Solving Problems Using Formula for a2-b2.
20. Solving Problems Using Formula for (a+b)(a-b).
3+b3.htm>21. Formula for a3 + b3.
3-b3.htm>22. Formula for a3 - b3.
2=a2+2ab+b2.htm>23. Special Products: (a+b)2 = a2+2ab+b2.
2=a2-2ab+b2.htm>24. Special Products: (a-b)2 = a2-2ab+b2.
2-b2.htm>25. Special Products - Sum and Difference Pattern: (a+b)(a-b) = a2-b2.
2-ab+b2)=a3+b326. Special Products: (a+b)(a2-ab+b2) = a3+b3.
3+b3=(a+b)(a2-ab+b2.htm>27. Special Products: a3+b3 = (a+b)(a2-ab+b2.
2+ab+b2)=a3-b3.htm>28. Special Products: (a-b)(a2+ab+b2) = a3-b3.
3=a3+3a2b+3ab2+b3.htm>29. Special Products: (a+b)3 = a3+3a2b+3ab2+b3.
3=a3-3a2b+3ab2-b3.htm>30. Special Products: (a-b)3 = a3-3a2b+3ab2-b3.
3=a3-3a2b+3ab2-b3.htm>31. Special Products: (a-b)3 = a3-3a2b+3ab2-b3.
2=a2+b2+c2+2ab+2bc+2ac.htm>32. Special Products: (a+b+c)2 = a2+b2+c2+2ab+2bc+2ac.
2+b2+c2-ab-bc-ca).htm>33. Special Products: (a+b+c) (a2+b2+c2-ab-bc-ca).
34. Special Products: (x+a)(x+b).
35. Special Products: (ax+b)(cx+d).
36. Special Products: (x+a)(x+b)(x+c).
37. Problems - I.
38. Problems - II.
39. Problems - III.
40. Problems - IV.
41. Problems - V.
42. Problems - VI.
43. Problems - VII.
44. Problems - VIII.
45. Problems - IX.
46. Problems - X.
47. Solving using Formula - I.
48. Solving using Formula - II.
49. Solving using Formula - III.
50. Polynomials Review.
51. Polynomials Review - II.
52. Polynomials Review - III.
53. Polynomials Review - IV.
54. Formulas Review.

Topic 8. Business Mathematics

ChapterDate
1. Discount.
2. Trade Discount - II.
3. Trade Discount - III.
4. Trade Discount - IV.
5. Trade Discount - V.
6. Trade Discount - VI.
7. Word Problems on Trade Discount.
8. Simple Interest - I.
9. Simple Interest - II.
10. Simple Interest - III.
11. Simple Interest - IV.
12. Simple Interest - V.
13. Simple Interest - VI.
14. Simple Interest - VII.
15. Simple Interest - VIII.
16. Word Problems on Simple Interest.
17. Compound Interest - I.
18. Compound Interest - II.
19. Compound Interest - III.
20. Compound Interest - IV.
21. Compound Interest - V.
22. Partnership - I.
23. Partnership - II.
24. Partnership - III.
25. Word Problems on Time and Work - I.
26. Word Problems on Time and Work - II.
27. Problems on Time and Work - III.
28. Problems on Time and Distance - I.
29. Problems on Time and Distance - II.
30. Problems on Time and Distance - III.
31. Problems on Time and Distance - IV.
32. Problems on Time and Distance - V.
33. Problems on Time and Distance - VI.
34. Problems on Clock - I.
35. Problems on Clock - II.
36. Problems on Clock - III.
37. Problems on Clock - IV.
38. Word Problems - Work It.
39. Word Problems on Work.
40. Review Test.
41. Business Mathematics Review.
42. Business Mathematics Review - II.
43. Business Mathematics Review - III.

Topic 9. Review Tests

ChapterDate
1. Final Review I.
2. Final Review II.
3. Final Review III.
4. Final Review IV.
5. Final Review V.
6. Grade 8 Math Placement Test 1.
7. Grade 8 Math Placement Test 2.
8. Grade 8 Math Placement Test 3.
9. Grade 8 Math Placement Test 4.

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