Originally published in 1936, this detailed textbook is a companion to the 1931 publication An Elementary Treatise on Actuarial Mathematics and is intended to provide further examples for learning, practice and revision; 'the inclusion of additional examples in the book as it stood was impracticable, and it appeared that the difficulty could only be overcome by the publication of a supplement to the book'. Contained is a vast selection of examples on finite differences, calculus and probability, in the hope 'that the supplement will prove of value to students, especially to those who have completed the course for the examination'. Notably, most questions purposely hint at solution and refrain from providing a full explanation - 'in only a few instances has the complete solution of the question been given'. This engaging book will be of great value to anyone with an interest in mathematics, science and the history of education.