50 Mathcounts Lectures (Volume 1)

1. Logic (Click here to see a sample file) 1

2. Addition And Subtraction 15

3. Multiplication and Division 30

4. Parity 47

5. Operations with Fractions 62

6. Operations with Decimals 81

7. Operations with Percents 96

8. Pigeonhole Principle 112

9. Converting Fractions, Decimals, and Percents 125

10. Ratios and Proportions (Click here to see a sample) 140

11. Perimeter and Area 152

12. Counting Principles 177

13. Exponents 195

14. Radicals 205

15. Place Value and Scientific Notation 222

16. Absolute Values 234

17. Order of Operations 247

18. Simplifying Algebraic Expressions 256

Index 271

50 Mathcounts Lectures (Volume 2)

19. Evaluating Algebraic Expressions 1

20. Divisibility 14

21. Solving Equations 32

22. Solving Inequalities 46

23. Venn diagrams 63

24. Combinatorics (Click here to see a sample) 83

25. Angles and triangles 104

26. Classification of triangles 115

27. Similar triangles 130

28. Pythagorean Theorem 147

29. Quadrilaterals 163

30. Trapezoids 177

31. Parallelograms 191

32. Angle bisectors and medians 205

33. Triangular inequality 218

34. Area Method 227

35. Polygons 241

36. Circles 262

Index 283

50 Mathcounts Lectures (Volume 3)

37. Factors 1

38. Prime Numbers 21

39. Least Common Multiples And Greatest Common Factors 39

40. Methods Of Factoring 57

41. Venn Diagram 2 74

42. Congruence 86

43. Last Digits 108

44. Remainder 119

45. Coordinate System 134

46. Lines And Equations 149

47. Systems Of Equations 174

48. Mean, Median, Mode, And Range 198

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