3. In every triangle, the square on the side subtending either of the acnte angles is less than the squares on the sides containing that angle by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 1 2 +3

1 1. Simplify -1-2 (2+1)^2(x+1).

2. The diameters of two coins were 1.3 and 1.2 inches respectively, and 160 placed in contact in a straight line measure a pole. How many were there of each kind ? 3. Solve the equations :72–13, 2x-30

2 +24 (1.) 11 - 1 =# (x-1). (2.).*=-660 1. The diagonal of a field is 303 yards, and it divides the field into two triangles whose sides (in yards) are 100, 217, 303, and 65, 272, 303; find the area in acres, etc.

2. The length of a circular arc is 16 feet, and it contains 11° 15'; find the diameter.

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Excelsior Buildings, Ridgefield, Manchester.

London Warehouse : 18, Paternoster Row.

John Heywood's New Publications.

Stiff cover, price 6d ; cloth, coloured, is. THE BRITISH EMPIRE ATLAS. Containing 37 Maps, showing the Colonies and Dependencies of Great Britain in every part of the World.

Cloth, 2s.6d. THE BRITISH EMPIRE ATLAS AND GEOGRAPHY. Containing 37 Maps, coloured with 144 pp. letterpress, descriptive of the Geography of the British Possessions.

Fcap. 8vo, 96 pp., cloth, is. 6d. New and Revised Edition. THE PUPIL TEACHER'S GEOGRAPHY AND HISTORY OF THE BRITISH POSSESSIONS. By J. S. Horn.

Price Is., cloth. MENTAL ARITHMETIC FOR SCHOOLS AND COLLEGES. With Answers and Specimens of Examination Papers. By R. Sutton.

i Fcap. 8vo., 160 pp., cloth lettered, Is. 60. AN INSTRUCTION, BY QUESTIONS AND ANSWERS, IN THE CATECHISM OF

- THE CHURCH OF ĚNGLAND. With Illustrations from Scripture Biography and Scripture Proofs. By R. Sutton.



By Rev. J. Davidson, B.A., Vicar of Christ Church, Chester. Designed mainly for young persons preparing for Diocesan, Training College, or Oxford and Cambridge Local Examinations

Fcap. 8vo, 128 pp.. cloth, is, 6d. NOTES OF LESSONS ON THE CATECHISM OF THE CHURCH OF ENGLAND. By R. Sutton.

Crown 8vo, 160 pp., cloth lettered, 28. 6d. First Series, New Edition. THE TEACHER'S MANUAL OF OBJECT LESSONS. By A. Park, F.R.G.S., Head Master, Albion Schools, Ashton-under-Lyne.

Price Is. 6d. each, with Key, or complete in 1 vol., 6s.

Code. Candidates' Book-First Year Book-Second Year Book-Third Year Book-
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Fcap. 8vo, 272 pp., cloth, 38. 6d.
SCHOOL MANAGEMENT AND METHOD, in Theory and Practice. By J. J. Prince.

Author of " The Elements of Physiography." Prepared mainly for Pupil Teachers and Students preparing to be examined for Queen's Scholarships, Certificates, &c. There are nearly 200 Questions previously set at Examinations, with Answers to the same, whilst a

number of Questions for the Student to answer himself are also given at the end. EXERCISES IN PENMANSHIP. By a Professor of Writing. In which the principles of the

Art of Writing are reduced to their simple elements. Engraved on two sides of a small card. This is a veritable multum in parvo on an important branch of every scholar's educa. tion, and which he, and even adults wishful to improve their handwriting, may have continually before them as a model. Price id. each.

The following Catalogues may be had, post free, on applicationA CATALOGUE OF EDUCATIONAL AND MISCELLANEOUS WORKS, Containing a list of JOHN HEYWOOD's own distinctive publications, with their retail price. This will be found to embrace a great variety of Educational Works (written mainly by practical authors), and from it heads of Schools and others may select books in almost every branch of study.

A CLASSIFIED AND ILLUSTRATED EDUCATIONAL CATALOGUE, Containing a general list of the leading School Books published, together with the most commonly used articles in Stationery and Materials This Catalogue, comprising 66 pages, 4to size, has been for years appreciated as the best reference list of its kind issued.

Suitable for Presents, Prizes, Libraries, and General Reading.


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Moffatt's Pupil Teacher's Course.-Candidates, 28. 6d.; Year I., 28. 6a ;

Year II., 3s. Years III. and IV., shortly. *.* Editors have been selected for writing these books who have special qualifi. cations for the task.

These books contain the whole course of instruction for Pupil Teachers. They are carefully and fully written. Examination Papers in each subject are set, and practical hints to Pupil Teachers are given.

" We can give very high praise to this compilation. Boks of this kind are not generally very well done, but the present work is excellently drawn up. Pupil Teachers will not need other books." The National Schoolmaster. Moffatt's Reprint of Pupil Teachers' Questions set by the Education

Department in 1874, 1875, 1876, 1877, 1879, with Answers to Arithmetic and

Algebra. Price 1s. 6d, for each year. *.* These are a reprint of the official questions given by H.M. Inspectors at the Monthly Examinations of Pupil Teachers.

“ It is just the sort of book a teacher finds useful for preparing for examination. Save in one or two ainor particulars, the questions are as applicable to Scotland as to England."--The Educational News. Moffatt's Answers to Scholarship Questions. 1878 and 1879. Price 2s.

each. These books contain full and complete Answers to all the Scholarship Questions, with particulars of Training Colleges, and instructions and hints

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takes up seriatim very fully every rule of Arithmetic. The Schoolmaster says—“The work will be specially useful to Pupil Teachers and students in training." Moffatt's How to Teach Reading. Illustrated with Notes of Lessons.

1s. 60. This book takes up very carefully every system of teaching reading,

and enters fully into the whole of the subject. " This is a very interesting book, and is evidently the production of a master-hand.”—The Irish Teachers' Journal.

“We confidently say it is the best book on the subject we have met.”—The Irish Educational Journal.

MOFFATT & PAIGE, Warwick Lane, Paternoster Row, LONDON.


· New Code, 1880.. THE CROWN READERS.

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The Crown Readers present the following distinctive features :

1. They are printed from new type, the Primer and Standard I. being particularly bold and distinct, to suit the eyes of very young children.

2. The series is ILLUSTRATED, but not so excessively as to limit unnecessarily the amount of space for the Reading Lessons.

3. ORIGINALITY is a main feature of the series, as recently Readers have been plentifully brought out as mere reprints of writers whose copyright has lapsed.

4. The powers of OBSERVATION of the children are sought to be trained in the Crown Readers, which contain a large amount of knowledge of common objects and natural phenomena, leading up to the study of scientific subjects.

5. The matter is carefully graduated to suit the varying capacities of the Standards.

6. The Readers are also Spelling Books, the difficult words being placed at the head of every lesson, and also at the end of the book in the advanced books of the series.

7. A middle course has been steered between the inadequate and the excessive sizes of different sets; and while ample variety is furnished, there is no more offered than each Standard can fairly get op during the year.

8. Sets of questions are appended to each of the Lessons, where this is desirable, for the cultivation of intelligence in the children, and to test and train their attention. • 9. Copious Dictation Exercises are given in Standard I.

10. The binding of the series throughout is strong and durable.


And all Booksellers.

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Original Articles on Educational Topics; Parliamentary, Training Col. leges, and Board School News affecting Pupil Teachers; Reports of Science Lectures; Reviews of Books ; Scraps and Items of useful information on Literature, Education, Science and Art; Questions set in Pupil Teachers' Government Examinations ; Questions proposed and

answered by Pupil Teachers; Popular Science Papers, &c.

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Price 2d., by post 2 d., or ls. 3d. for six months; 28. 6d. a year,

IN ADVANCE, FROM H. MAJOR, B.A., B.Sc., Editor, Sherwood House, LEICESTER.

Post Office Orders payable to H. MAJOR, Leicester, not Nottingham. LONDON AGENTS : MOFFATT, PAIGE & Co., 28, WARWICK LANE.

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