50 Mathcounts Lectures
A New MATHCOUNTS Mini Every Month! Art of Problem Solving 's Richard Rusczyk has been making MATHCOUNTS Minis since September 2009. Each MATHCOUNTS Mini video provides detailed explanations for at least one MATHCOUNTS problem and its associated concepts. Each Mini also features an activity sheet to complement the discussed concepts. National Math Club Problem Set Being able to take multiple different approaches to solve problems is an invaluable skill. In this problem set, students will look at four techniques - creating a model, acting out a situation, drawing a picture and making a list. REGISTER FOR THE NATIONAL MATH CLUB.
Round Problems - ftp.ngcareers.com 1999 Mathcounts Sprint Round Problems 1999 Mathcounts National Sprint Round Solutions 107 4. Let g be the number of girls and b be the number of boys. According to the problem, after one-fifth of the girls left, the ratio of the girls to boys was 1999 Mathcounts Sprint Round Problems 1999. Some problems may belong to more than one discipline of mathematics and be studied using techniques from different areas. Prizes are often awarded for the solution to a long-standing problem, and lists of unsolved problems (such as the list of Millennium Prize Problems) receive considerable attention.
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Order solutions to lectures here
Chapter 1. Logic (click to read chapter)1
Chapter 2. Addition and Subtraction15
Chapter 3. Multiplication and Division30
Chapter 4. Parity47
Chapter 5. Operations and Fractions62
Chapter 6. Operations with Decimals81
Chapter 7. Operations with Percents96
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Chapter 8. Pigeonhole Principle 112
Chapter 9. Converting Fractions, Decimals, and Percents 125Chapter 10. Ratios and Proportions (click to read chapter) 140
Chapter 11. Perimeter and Area 152
Chapter 12. Counting Principles 177
Chapter 13. Exponents195
Chapter 14. Radicals205
Chapter 15. Place Value and Scientific Notation 222
Chapter 16. Absolute Values 234
Chapter 17. Order of Operations 247
Chapter 18. Simplifying Algebraic Expressions 256
Chapter 19. Evaluating Algebraic Expressions 1
Chapter 20. Divisibility14
Chapter 21. Solving Equations32
Chapter 22. Solving Inequalities 46
Chapter 23. Venn diagrams 63Chapter 24. Combinatorics (click to read chapter) 83
Chapter 25. Angles and triangles 104
Chapter 26. Classification of triangles 115
Chapter 27. Similar triangles 130
Chapter 28. Pythagorean Theorem 137
Chapter 29. Quadrilaterals163
Chapter 30. Trapezoids177
Chapter 31. Parallelograms191
Chapter 32. Angle bisectors and medians 205
Chapter 33. Triangular inequality218
Chapter 34. Area Method 227
Chapter 35. Polygons241
Chapter 36. Circles262
Chapter 37. Factors1
Mathcounts Past Problems
Chapter 38. Prime Numbers 21
Chapter 39. Least Common Multiples And Greatest Common Factors39
Chapter 40. Methods Of Factoring 57
Chapter 41. Venn Diagram 2 74
Chapter 42. Congruence86
Chapter 43. Last Digits108
Chapter 44. Remainder 119
Chapter 45. Coordinate System 134
Chapter 46. Lines And Equations 149
Chapter 47. Systems Of Equations 174
Chapter 48. Mean, Median, Mode, And Range 198
Chapter 49. Volume 220
Chapter 50. Probability 247
We would like to thank the following math contests:
The Mathcounts Competitions: the nation's premier middle school math enrichment, coaching, and competition program.
The AMC 8: a 25 question, 40 minute multiple choice examination in middle school mathematics designed to promote the development and enhancement of problem solving skills.
Mathcounts National Problems PdfThe AIME (American Invitational Mathematics Examination): an intermediate examination between the AMC 10 or AMC 12 and the USAMO.
Mathcounts Practice ProblemsThe China Middle School Math Competition.
We would also like to thank the hundreds of families who participated in the 50 Mathcounts Lectures 2011 Summer Program. Without their support and trust, this program would not be possible. Thanks goes to these parents and students who reviewed the draft of the lectures, made corrections to errors, and provided excellent insights to solutions.