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 in the 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.