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Works by Barnard Smith, M.A.

Arithmetic and Algebra in their Principles and Applications;

with numerous systematically arranged Examples taken from the Cambridge Examination Papers. Ninth Edition. Crown 8vo., cloth, 10s. 6d.

Arithmetic for the use of Schools.

cloth, 4s. 6d.

New Edition. Crown 8vo.,

A Key to the Arithmetic for Schools. Fourth Edition. Crown 8vo., cloth, 8s. 6d.

Exercises in Arithmetic.

Crown 8vo. 2s.; or, with Answers,

2s. 6d. Also, sold separately, in Two Parts, 1s. each. Answers 6d.

The School Class-Book of Arithmetic.

Parts I. and II., 18mo.,

limp cloth, price 10d. each. Part III. 1s.; or Three Parts in One Volume, price 38. 18mo., cloth (forming one of Macmillan's Elementary School Class-Books).

Key to Class-Book of Arithmetic. Complete, 18mo., cloth, price

6s. 6d.; or separately, Parts I. II. and III. 2s. 6d. each.

A Shilling Book of Arithmetic, for National and Elementary

Schools. Part I. 2d. Part II. 3d. Part III. 7d. In One Vol. 18. or, with Answers, cloth, 1s. 6d.

Works by Isaac Todhunter, M.A. F.R.S.

Euclid for Colleges and Schools.

in cloth, 3s. 6d.

Second Edition. 18mo., bound

Algebra for Beginners. With numerous Examples. 18mo., bound

in cloth, 2s. 6d.

A Treatise on the Differential Calculus. With numerous Examples. Fourth Edition. Crown 8vo., cloth, 10s. 6d. A Treatise on the Integral Calculus. numerous Examples. Crown 8vo., cloth 10s. 6d.

A Treatise on the Analytical Statics.

Second Edition. Crown 8vo., cloth, 10s. 6d.

A Treatise on the Conic Sections.

Third Edition. Crown 8vo., cloth, 78. 6d.

Second Edition. With

With numerous Examples.

With numerous Examples.

Algebra for the use of Colleges and Schools.

Crown 8vo., cloth, 7s. 6d.

Third Edition.

Plane Trigonometry for Colleges and Schools. Third Edition.

Crown 8vo., cloth, 5s.

A Treatise on Spherical Trigonometry for the use of Colleges and

Schools. Second Edition. Crown 8vo., cloth, 4s. 6d.

Critical History of the Progress of the Calculus of Variations during the Nineteenth Century. 8vo. cloth, 12s.

Examples of Analytical Geometry of Three Dimensions. Second

Edition. Crown 8vo., cloth, 4s.

A Treatise on the Theory of Equations. Crown 8vo., cloth, price

78. 6d.

MACMILLAN AND CO. LONDON.

An Elementary Treatise on Differential Equations.

By the late GEORGE BOOLE, D.C.L., F.R.S., Professor of Mathematics in the Queen's University, Ireland. A new Edition, revised by I. TODHUNTER, F.R.S. Crown 8vo., cloth, 14s. Supplementary Volume. Crown 8vo., cloth, 8s. 6d.

A Treatise on the Dynamics of a Particle.

With numerous Ex

ples. By PETER GUTHRIE TAIT, M.A., late Fellow of St Peter's College, Professor of Natural Philosophy in the University of Edinburgh; and the late WILLIAM JOHN STELLE, B.A., Fellow of St Peter's College. Second Edition. Price 10s. 6d.

The Cambridge Course of Elementary Natural Philosophy; being

the Propositions in Mechanics and Hydrostatics in which those Persons who are not Candidates for Honours are examined for the Degree of B.A. Originally compiled by J. C. SNOWBALL, M.A., late Fellow of St John's College, Cambridge. New Edition, revised and enlarged, and adapted for the Middle-Class Examinations. By THOMAS LUND, B.D., late Fellow and Lecturer of St John's College, Editor of Wood's "Algebra." Fifth Edition. Crown 8vo., cloth, 5s.

The Elements of Plane and Spherical Trigonometry. By J. C. SNOWBALL, M.A., Fellow of St John's College, Cambridge. Tenth Edition. Crown 8vo., cloth, 7s. 6d.

An Elementary Treatise on Plane Trigonometry. With a numerous Collection of Examples. By R. D. BEASLEY, M.A., late Fellow of St John's College, Cambridge, Head Master of Grantham Grammar-school. Second Edition. Crown 8vo., cloth, 38. 6d.

A Treatise on Elementary Mechanics. For the use of the Junior
Classes at the University and the Higher Classes in Schools. With a Collection of
Examples. By S. PARKINSON, D.D., President of St John's College, Cambridge. Third
Edition, revised. Crown 8vo., cloth, 9s. 6d.

Elementary Hydrostatics. By J. B. PHEAR, M.A., Fellow of Clare College, Cambridge. Third Edition, accompanied by numerous Examples, with the Solutions. Crown 8vo., cloth, 5s. 6d.

A Geometrical Treatise on Conic Sections, with Copious Exam

ples from the Cambridge Senate-House Papers. By W. H. DREW, M.A., of St John's
College, Cambridge. Third Edition. Crown 8vo., cloth, 4s. 6d.

Solution to Problems contained in Mr Drew's "Treatise on
Conic Sections." Crown 8vo., cloth, 4s. 6d.

Geometrical Conics, including Anharmonic Ratio and Projection. With numerous Examples. By C. TAYLOR, B.A., Scholar of St John's College, Cambridge. Crown 8vo., cloth, 7s. 6d.

An Elementary Treatise on Conic Sections and Algebraic Geometry. With a numerous collection of Easy Examples progressively arranged, especially designed for the use of Schools and Beginners. By G. HALE PUCKLE, M.A,, Principal of Windermere College. Lecond Edition, enlarged and improved. Crown 8vo. cloth, 78. 6d.

A Treatise on the Calculus of Finite Differences. By the late
GEORGE BOOLE, D.C.L., Professor of Mathematics in the Queen's University, Ireland.
Crown 8vo., cloth, 10s. 6d.

MACMILLAN AND CO. LONDON.

1

ELEMENTARY TEST QUESTIONS

IN

PURE AND MIXED MATHEMATICS,

WITH ANSWERS.

Cambridge:

PRINTED BY C. J. CLAY, M.A.

AT THE UNIVERSITY PRESS.

OF

ELEMENTARY TEST QUESTIONS

IN

PURE AND MIXED MATHEMATICS

WITH ANSWERS.

AND

APPENDICES

ON SYNTHETIC DIVISION

AND ON

THE SOLUTION OF NUMERICAL EQUATIONS

BY HORNER'S METHOD.

BY

JAMES R. CHRISTIE, F.R.S., F.R.A.S.

LATE FIRST MATHEMATICAL MASTER AT THE
ROYAL MILITARY ACADEMY, WOOLWICH,

London and Cambridge:

MACMILLAN AND CO.

187. f. l.

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