This manual contains solutions (no questions) to selected questions from the book"Integrated Mathematics for Explorers" by Adeline Ng and Rajesh R. Parwani: Detailed solutions to all exercises.Concise solutions to odd-numbered problems.Answers to even-numbered problems are online at www.simplicitysg.net/books/imaths.The material here is at a level suitable for high-school students inthe GCE-O level or IB programmes, or those in liberal arts colleges.Topics covered include exponents, logarithms, polynomial equations, rational functions, simultaneous equations, matrices, coordinate geometry, plane geometry, trigonometry, differential and integral calculus.