Twenty More Problem Solving Skills For MATHCOUNTS

Prepare for Mathcounts.

Each chapter consists of: 
(1) basic skill and knowledge section with plenty of examples, 
(2) many exercise problems, 
(3) detailed solutions to all problems.

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Table of Contents

Chapter 1. Modular Arithmetic (click to view) 1

Chapter 2. Divisor and Divisibility 18

Chapter 3. Last Digit and Remainder 40

Chapter 4. Number Bases 52

Chapter 5. Special Numbers 66

Chapter 6. Diophantine Equations 77

Chapter 7. Permutations of Digits and Sum of N-Digit Numbers 90

Chapter 8. Arithmetic Sequence and Common Terms111

Chapter 9. Absolute Value and Inequalities 125

Chapter 10. Probability Problems 146

Chapter 11. Recurrence Relations 169

Chapter 12. Consecutive Integers 198

Chapter 13. Proportion and Slow/Fast Watch Problems 212

Chapter 14. Words Problems Related to Work 227

Chapter 15. Net 242

Chapter 16. Longest Path and Shortest Distance 269

Chapter 17. Folding Paper 289

Chapter 18. Problems with Analytic Geometry307

Chapter 19. Grids322

Chapter 20. Back Calculation335

Index227