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.

New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.

Did you know that it's easier to add and subtract from left to right, rather than the other way round? And that you can be taught to square a three-digit number in seconds? In Think Like A Maths Genius, two mathematicians offer tips and tricks for doing tricky maths the easy way. With their help, you can learn how to perform lightning calculations in your head, discover methods of incredible memorisation and other feats of mental agility. Learn maths secrets for the real world, from adding up your shopping and calculating a restaurant tip, to figuring out gambling odds (or how much you've won) and how to solve sudoku faster.

Exam SAM's ASVAB Math Practice Book with 275 Questions book helps you learn everything you need for the math section of the ASVAB test. There are 275 ASVAB math problems in this book, with answers and step-by-step explanations and solutions. Exam SAM's unique study system gives you in-depth focus on just the math part of the exam, letting you perfect the skills in the areas of math that students find the most troublesome. Practice Test Set 1 is in study guide format with exam tips and formulas after each question. You can look back at the formulas in practice test 1 as you go through the remaining tests in the book. The practice tests cover the same skill areas as the actual exam, so each practice test set has problems on: Arithmetic Mathematics Knowledge Note: This item is available to wholesalers and booksellers under ISBN 978-1-949282-10-8.

Using proven techniques, this volume shows how to add, subtract, multiply and divide faster than is possible with a calculator or pencil and paper, and helps readers conquer their nervousness about math.

Do high-speed, complicated arithmetic in your head using the Trachtenberg Speed System. Ever find yourself struggling to check a bill or a payslip? With The Trachtenberg Speed System you can. Described as the 'shorthand of mathematics', the Trachtenberg system only requires the ability to count from one to eleven. Using a series of simplified keys it allows anyone to master calculations, giving greater speed, ease in handling numbers and increased accuracy. Jakow Trachtenberg believed that everyone is born with phenomenal abilities to calculate. He devised a set of rules that allows every child to make multiplication, division, addition, subtraction and square-root calculations with unerring accuracy and at remarkable speed. It is the perfect way to gain confidence with numbers.