ALGEBRAICAL EXERCISES

AND

EXAMINATION PAPERS.

AND

EXAMINATION PAPERS.

BY

H. S. HALL, M.A.,

FORMERLY SCHOLAR OF CHRIST'S COLLEGE, CAMBRIDGE,
MASTER OF THE MILITARY AND ENGINEERING SIDE, CLIFTON COLLEGE.

AND

FORMERLY

S. R. KNIGHT, B.A.,

SCHOLAR OF TRINITY COLLEGE, CAMBRIDGE,
LATE ASSISTANT MASTER AT MARLBOROUGH COLLEGE.

SECOND EDITION REVISED AND CORRECTED.

London:

MACMILLAN AND CO.

AND NEW YORK.

1887

[The Right of Translation is reserved.]

HARVARD COLLEGE LIBRARY

GIFT OF THE

CONGREGATIONAL LIBRARY OF BOSTON

DEC 11 1935

Printed by C. J. CLAY and SONS, 1886. Reprinted 1887.

PREFACE.

THIS book consists of one hundred and twenty progressive miscellaneous Exercises, followed by a collection of Papers set at recent Examinations.

The EXERCISES have been frequently tested among our own pupils, and each will be found of suitable length for about an hour's work.

They are arranged as follows:

Part I. takes in the early rules up to, and inclusive of, Simple Equations; in Part II., Involution, Evolution, and Simple Fractions are introduced; Part III. takes in Resolution into Factors, and Fractions of all kinds; Part IV., Quadratics, Indices, and Surds; Part V., Ratio and the Progressions; Part VI., Permutations, Combinations, and the Binomial Theorem; and Part VII. consists of Papers of Miscellaneous Equations of the most useful types.

The EXAMINATION PAPERS are more varied in length and character: they will be found to comprise specimens of papers set at all the most important examinations in which a knowledge of Elementary Algebra is required, and we believe that this section of the book will be especially useful to teachers.

April, 1886.

H. S. HALL,

S. R. KNIGHT.