Complimentary: Math Exam Papers with fully worked solutions *** Options include: 3 sets of - Secondary 1/2/3/4/5 Express/NA/NT - IP Year 1/2/3/4 - JC 1/2 This book is one of the three in the series. It presents advanced heuristics for primary school mathematics. The Singapore mathematics curriculum recommends teaching 12 heuristics under four categories; the 2006 version is given below: 1. Give a representation. a. Draw a diagram b. Make a list c. Use equations 2. Make a calculated guess. a. Guess and check b. Look for patterns c. Make suppositions 3. Go through the process. a. Act it out b. Work backwards c. Before-after 4. Change the problem. a. Restate the problem b. Simplify the problem c. Solve part of the problem The non-model heuristics in this book go beyond these. They are tested and proven effective over the last 25 years against even the toughest problems in school examinations. They include use of circle transformations, inverse ratios, distance diagrams and special geometrical properties among others. Problems beyond the mainstream which require heuristics like special counting techniques (of grids, paths and shapes) and cryptarithms which are in GEP and Math Olympiad are also included in this book. All the questions are classified according to distinct concepts, as opposed to the conventional topics like most books of the same category on the shelf today. After all, what meaningful difference is there between ⅕, 1:5, 20% and 0.2 besides differences in presentation formats? Unchanged difference concept is an example. Both age problem (in whole number) and overlapping area (in geometry) fall under this category. 33 types of problems are classified into 21 chapters and solved using heuristics techniques. With 198 specially selected worked problems, the Author aims to introduce and demonstrate the power of the various tools. By categorising the questions based on concepts, the essence of each tool is illustrated in depth. To gain the most out of this book, the reader is strongly encouraged to spend some time studying the solution of each question. Features of this book ★ 198 questions are categorised into 33 must-know concepts and corresponding solving techniques which you wish you had been taught in schools. ★ Actual questions posted by school students and full-colour online solutions (by hand) via mobile technology.