‘The Tratchenberg Speed System of Basic Mathematics’ has one of the best foreword for any book: Its summary of the eventful life of Mr. Tratchenberg makes for an inspiring read. What soon turns to be difficult is the unwieldy nature of making mental calculations – be it through the Tratchenberg method or by the supposedly clunkier traditional methods. I had bought the book years ago with fond hopes of bettering my scores in the Quantitative and DI sections of my CAT. When I recently picked up the book I had forgotten what had put me off its techniques despite that brilliant foreword which had again seduced me headlong into the first chapter ‘Tables or No Tables’. As I waded through the topic ‘Multiplication by 11’ it was clear that it had been the difficulty of ‘holding’ in the mind's eye, the numbers involved in calculation.