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This book is designed to stretch and challenge students, with the hardest Maths questions that have come up in past papers. There are clear and detailed solutions, to ensure your child is comfortable tackling questions of high difficulty. Follow up questions and answers have also been provided to consolidate their understanding, and to learn from their mistakes. This book has been written by a Year 12 student at one of the top selective grammar schools in England, who achieved 13 A* in GCSEs and 4 A* at A levels. He has experience as a professional 11+ tutor for tuition centres, and does private tutoring for Maths and English. He has helped many children achieve success in their entrance tests.
Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.
GMAT Official Advanced Questions Your GMAT Official Prep collection of only hard GMAT questions from past exams. Bring your best on exam day by focusing on the hard GMAT questions to help improve your performance. Get 300 additional hard verbal and quantitative questions to supplement your GMAT Official Guide collection. GMAT Official Advance Questions: Specifically created for those who aspire to earn a top GMAT score and want additional prep. Expand your practice with 300 additional hard verbal and quantitative questions from past GMAT exams to help you perform at your best. Learn strategies to solve hard questions by reviewing answer explanations from subject matter experts. Organize your studying with practice questions grouped by fundamental skills Help increase your test-taking performance and confidence on exam day knowing you studied the hard GMAT questions. PLUS! Your purchase includes online resources to further your practice: Online Question Bank: Create your own practice sets online with the same questions in GMAT Official Advance Questions to focus your studying on specific fundamental skills. Mobile App: Access your Online Question Bank through the mobile app to never miss a moment of practice. Study on-the-go and sync with your other devices. Download the Online Question Bank once on your app and work offline. This product includes: print book with a unique access code and instructions to the Online Question Bank accessible via your computer and Mobile App.
Volume II of a two-part series, this book features 74 problems from various branches of mathematics. Topics include points and lines, topology, convex polygons, theory of primes, and other subjects. Complete solutions.
Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.
This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.
"102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.
Further your SAT vocabulary knowledge to get farther down the road to success This SAT vocabulary workbook helps students master more than 700 words that frequently appear in the SAT's reading, writing, and essay sections. The book's approach reflects changes made to the test in recent years, focusing on understanding vocabulary more than rote memorization. It's a modern workbook designed to give students the edge needed to improve their SAT scores. 145 short lessons—Each lesson features a theme to help contextualize vocabulary and concludes with a mini quiz to test understanding. Practical organization—Chapters focus on different elements of the SAT, including words for reading topics like history and science, transition words, and commonly confused words. Learning that lasts—With extra tips for retention, this focused approach works equally well for students who are taking the test in a week or in a year. Perfect for summer learning—This guide makes a great summer workbook for students planning to take the SAT this coming year who want to get a head start on studying before heading back to school. Get the ideal resource for students looking to master SAT vocabulary.