THREE-HOUR PAPER. 1. Define the terms hemisphere, horizon, frigid zone, equator, isthmus, first meridian, continent, ecliptic, latitude, longitude, plateau, tropic, zone. 2. State the various proofs, celestial and terrestrial, of the earth's rotundity. 3. How many principal varieties of the human race are there? How are they distinguished, and what regions of the globe do they respectively inhabit ? 4. Give (i) the names of the six longest rivers in England; (ii) the largest town on each of these rivers; and (iii.) describe, as fully as you can, any one of these rivers and towns. 5. What places in the United Kingdom are the chief seats of the manufacture of cotton and linen goods; and from what countries are the raw materials of those goods chiefly derived ? 6. How may British imports and exports be classified? 7. Mention (i.) the names of the political divisions of the British possessions in India; (ii.) the names of the chief districts of India, which are not included among the British possessions. 8. Where, and for what noted, are the following towns:Boulogne, Talavera, Morpeth, Syracuse, Leyden, Enniscorthy, Frankfort, Astrakhan, Falkirk, Plymouth, Kilmarnock, Kilkenny? 9. Give the highest known mountain in each of the continents of Europe, Asia, Africa, and America. 10. In what countries are the following lakes:-Balaton, Como, Garda, Ilmen, Ladoga, Thun, Trasimene, Wener, Zurich; and in what counties are Loch Awe, Loch Katrine, Loch Lomond, Loch Maree, and the Lakes of Killarney? 11. Draw a map of France; or describe in words its boundaries, mountains, and rivers. 12. A place is in South Latitude 23°, and in West Longitude 43°; what is its distance from the Equator; and what time is it at this place when it is noon at Greenwich ? THREE-HOUR PAPER, 1. In building a viaduct of one hundred and one arches, ninety thousand and nine bricks are used for each arch. How many bricks are used altogether? Express the answer in words. 2. A man agreed to buy a haystack, paying £10 for each wagon-load. He found his wagon held 1 ton 3 cwt. 2 qrs., and that the whole stack weighed 10 tons 11 cwt. qrs. How much has he to pay? 2 3. What is the total cost of a city dinner at £4 13s. 9d. per head, the number of guests being 312? 4. The profits of a business, amounting to £904 11s. 4d., are divided equally among the partners. If each receives £56 10s. 8d., what is the number of the partners? 5. Find the number of square inches in three fields containing respectively 3 ac. 2 ro. 4 po., 7 ac. 3 ro. 14 po., and 15 ac. 1 ro. 37 po. 6. Add together 1, 2, 3, 475. Also multiply together 4, 2, 34, and divide the product by 13. 7. Divide (without using Vulgar Fractions) 0082 by 41; 41 by 0082; 0205 by 164. 8. Find by Practice the cost of 5 tons 17 cwt. 3 qrs. 14 lbs. of sugar at £1 3s. 4d. per cwt. 9. Obtain the Square Root of 1951609, and the Cube Root of 2248.091. 50, 11. Find the cost of carpeting a room 20 ft. 3 in. long and 13 ft. 6 in. broad, at 3s. 4d. per square yard. 12. Make out the bill for 3 pieces of cloth, 32 yds. each, at 7s. 9d. a yard; 75 yds. of calico, at 3d. a yard; 10 doz. reels of cotton, at 13d. a reel; and 3 doz. skeins of silk, at 7 d. a skein. 13. What is a quarter's rent of 350 acres of land, if £11 5s. 9d. per annum be given for 9 acres? 14. Find the difference between the simple and the compound interest on £2718 15s., for 2 years at 3 per cent. 15. What sum must I invest in the 4 per cents. at 95 to have an income of £150, clear of income tax at 2d. in the £? THREE-HOUR PAPER. 1. What is meant by a coefficient, a power, a root? 2. Prove that (ax + by)? (ay + bx)2 3. Express x2 8x + 7, x2 x2+7x 15, and - 18, each as the product of two factors. 4. Prove that (n. divisible by 3n. +5 by x+4x2 + 16; and divide the product by x2 + 2x + 4. 6. Find the continued product of x2 + x √√2 + 2, x2 x √ 2 + 2, x2 + x √õ + 2, and x2 7. Find the G.C.M. of 3x3 x √6 + 2. x2 + 3x 1, and 3x3 + 2x2 4x+1; and the L.C.M. of 2 (a2b — ab2), 6 (a2b — b3), 9 (a3 — a2b + ab3), and 15 (a3 + a2b + ab2). 8. Find the square root of 11. A bill of £50 is paid by 190 coins, consisting of sovereigns and half crowns; find the number of each. THREE-HOUR PAPER. Books I.-IV., VI. 1. Define a line, a plane superficies, a plane rectilineal angle, an acute angle, an obtuse angle, a right angle, a boundary, a semicircle, an oblong, a trapezium. 2. Define an equilateral triangle, an isosceles triangle, a scalene triangle; and state, with respect to each of them, whether it can also be right angled or obtuse angled. 3. Write out the first three, the ninth, and the tenth axioms. 4. The angles at the base of an isosceles triangle are equal to one another; and if the equal sides be produced, the angles on the other side of the base shall be equal to one another. 5. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. 6. If a parallelogram and a triangle be upon the same base and between the same parallels, the parallelogram shall be double of the triangle. 7. If a straight line be divided into two equal, and also into two unequal parts, the square on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section. 8. Define similar segments of circles; and prove that on the same straight line, and on the same side of it, there cannot be two similar segments of circles, not coinciding with one another. 9. Draw a straight line from a given point, either without or in the circumference, which shall touch a given circle. 10. To describe a circle about a given square. 11. Define equal triangles, and prove that ifequal triangles have one angle of the one equal to one angle of the other, then the sides about the equal angles are reciprocally proportional. 12. Show that the lines which join the middle points D, E, F, of the three sides of a triangle ABC, divide it into four equal triangles. 13. Describe a circle with a given centre, cutting a given circle at the extremities of a diameter. Works by JOSEPH FERNANDEZ, LL.D. Henry's Outlines of English History. A complete Synopsis of the National History and Constitutional Progress, with GENEALOGICAL TABLES OF EACH FAMILY, 1500 questions and Chronological Tables of Principal Events. Price 28. 228 pages, Foolscap 8vo. Henry's Junior Dictation Lessons. In HENRY'S JUNIOR DICTATION LESSONS, the words which are to be learnt are printed in distinct type at the head of each Lesson, as it is desirable that the learner should see words, the sounds of which are often so different from their appearance. It contains 174 Lessons, or more than 2000 words, from one to three syllables, special attention being given to those which are most likely to be mis-spelt or mis-applied. Price 18. 6d. 174 pages, Foolscap 8vo. Henry's Dictation Lessons. These Lessons, on about 5000 words, are arranged in Three Parts :1.-Consisting of Ninety Lessons on Words Alphabetically Arranged. 2.-Thirty-two Special Lessons on Peculiar Forms of Spelling. 3.-A recapitulatory series, containing Lessons on all the most difficult words, arranged according to Accent and Vowel Sounds. The sentences are framed so as to convey some fact worth knowing, or some moral truth. Price 18. 6d. 174 pages, Foolscap 8vo. Henry's School Geography (New Edition). HENRY'S SCHOOL GEOGRAPHY is a book sufficiently full for ordinary school classes. Special attention has been paid to the geography of the United Kingdom, the British Colonies, the States of America, and the leading States of Europe, with 3000 questions on the text. Price 28. Henry's Scripture History. With Being a complete Analysis of the Old and New Testament History, and a Sketch of Jewish History between Malachi and Matthew. nearly 2000 questions. Price 28. 266 pages, Foolscap 8vo. Henry's Mental Arithmetic and Fact Book. This work comprises eighty Lessons on all the Rules of Mental Arithmetic, with 1500 questions and answers. Besides the Fact Book, which contains a series of Lessons on Mythology, Scripture, Grecian, Roman, French, and English History, also a Geographical Summary of the various Countries on the Globe, &c., and complete Arithmetical Tables. Price 18. 112 pages, Foolscap 8vo. Henry's Junior Geography. Price 18. With 900 questions. Work by A. WILSON, M.A. The Junior Student's Algebra. Being a Manual of the Science, to the end of Simple Equations. For the use of Junior Students preparing for the Oxford and Cambridge Local Examinations; by ALEXANDER WILSON, M.A. With an Appendix containing the Local Examination Questions. Printed by permission of the Oxford Delegacy and Cambridge Syndicate, with Answers to Examination Papers Price 28. 6 |