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PRELIMINARY GENERAL EXAMINATION.-Midsummer, 1863.
TUESDAY, July 14th.-Morning 12 to 1}.
Examiner-W. HUGHES, ESQ., F.R.G.S. [N.B.-Only six of the following need be answered. Any six may be selected by
1. Name twelve considerable seaports of Britain, specifying the situation of each.
2. Name a few of the chief towns that are within the manufacturing districts of—(a) Lancashire; (b) the West Riding of Yorkshire; and (c) South Staffordshire, with the adjacent portions of Warwickshire and Worcestershire. What branches of industry distinguish those tracts of country ?
3. What differences of climate distinguish the East and the West sides of Britain ? Can these be partially explained by reference to any conditions in the physical conformation of the island ?
4. In what county, and on what river, is each of the following: Ludlow, Stamford, Bath, Salisbury, Maidstone, Welshpool, Chepstow, Kelso, Boston, Kidderminster, Limerick, Kilkenny ?
5. Name six considerable seaports on the Mediterranean coasts; also six on the shores of the Baltic, or of its gulfs.
6. What portions of the European continent are mountainous, and what chiefly level? Give briefly some particulars respecting the mountain-regions, as to direction, height, &c.
7. Describe briefly each of the three following rivers, as to source, direction, and outlet :-Danube, Rhine, Volga.
8. Mention six of the principal inland cities of Germany, giving their situations, and the name of the state to which each belongs.
9. To what countries do the following localities belong :- Borodino, Marengo, Blenheim, Pultova, Wagram, Ivry, Talavera, Austerlitz, Ramilies, Jena, Waterloo, Solferino ?
1. A qnantity of gold was cast into 87 ingots of equal size, each weighing 65 oz. 12 dwts. 9; grs. How much did the gold weigh?
2. A sum of 20751. was to be divided equally among a number of persons; but 741. 153.9d. of the money was spent in legal disputes about it, consequently each claimant received only 761. 18s. 7 d. How many claimants were there?
3. A sum of 67331. 6s. 8d. yields an annual income of 4291. 5s. What income would be yielded by 27,7751. similarly invested ?
4. In French money 1 franc (or 100 centimes) is equivalent to 9zd. English, when silver is at 5s. the ounce. What sum of French money is equivalent to 2621. 18s. 7d., when silver is worth 5s. 1 d. the ounce ?
5. Find the value of 3061 cwt. 2 qrs. 15 lbs. at 71. 10s. 9d. per cwt.
6. A capitalist invests 1010641. in buying Six per Cent. Stock at 110: How much Stock must he sell out of Consols (which are 3 per cent.) at 913 to provide money enough to pay for the other Stock ? How much more does he get per cent. per annum for his money by the latter investment than by Consols, if he originally bought these at 90 ? 7. Of the following fractions of a mile
14, }, it,
을, , which is the greatest and which is the least? What fraction of the sum of the intermediate fractions is the difference between the greatest and the least ? Prove that the difference of length between the distance expressed by the fraction thus formed and the tenth part of a mile, is between 2; and 3 feet.
8. Reduce caso and to decimal fractions, and 8.925 and 1.583 to vulgar fractions in their lowest terins.
9. Multiply 7.0707 by 5-00505005. Also multiply 7.07 by 5.005. Divide 6.497 by .0089, and also divide 6.497 by 7300.
10. Find the Greatest Common Measure of 9640, 6025, and 1205. A mass consists of several spheres of equal size, composed of four different materials A, B, C, D, (each particular sphere being composed of one only of these materials). The specific gravities of B, C, and D, when A is the standard, are respectively 6, 14, 16. The percentage by weight of each material which enters into the composition of the mass is (as nearly as it can be expressed with three places of decimals),
A, 6.025; B, 57.84; C, 16.87; D, 19.28. Determine the smallest number of spheres of each kind which could afford this percentage.