364 



THE POPULAR EDUCATOR. 



CIVIL SERVICE PAPERS. VI. 



THE COMPETITIVE EXAMINATIONS (continued). 

 SCHEME I. (continued.) 



SPECIMEN GEOGRAPHY PAPER. 



JM the accompanying map of Ireland, show the position of the prin- 

 cipal lakes and mountain ranges ; place Tullamore, Youghal, Elphin, 

 Newtown Butler, Cahir, Trim ; trace the principal lines of raliway con- 

 necting Dublin with the south of the island, and mark the position 

 of the principal towns through which they pass. 



In what counties and on what lines of railway are the following 

 towns : Athy, Andover, Peterborough, Hawick, Yeovil, Diss, Thurles, 

 Dunkeld, Swiudon, Athlone ? Give approximately the distance of any 

 of them from either London or Dublin. 



What countries are watered by the following rivers : The Ehone, 

 Bio de la Plata, San Francisco, Garonne, Amoor, Goomtee ? Mention 

 the sea into which each flows. 



Where are the following places, and for what are any of them 

 remarkable : Culloden, Cura9ao, Atlanta, Geelong, Surat, Ehrenbreit- 

 etein, Damascus, Namur, Malaga, Chicago ? 



Where are Catalonia, Bessarabia ; St. Michael's Island, Ischia ; 

 the mountains Wetterhorn and the Brocken ; the rivers Fraser and 

 Cauvery ; the Gulf of Obi ; Algoa Bay ? 



Draw a map of the west coast of England and Wales, from Car- 

 lisle to the Land's End, as large as your paper will admit, marking 

 the counties, headlands, river mouths, and seaport towns. 



Write a geographical description of Prussia. 



FRENCH : TRANSLATION. 



Plus la ruine de Marie Therese paraissait inevitable, plus elle eut de 

 courage ; elle e^ait sortie de Vienne, et elle s'etait jetee entre les bras 

 des Hongroia, si stSvererueut trails par son pere et par ses aieux. Ayant 

 assemble les quatres ordres de l'<5tat a Presburg, elle y parut tenant 

 entre ses bras son fils aine presque encore au berceau ; et leur parlant 

 en Latin, langue dans laquelle elle s'exprimait bien, elle leur dit a 

 peu pres ces paroles : Abaudonude de mes amis, perse'cuttte par mes 

 ennemis, je n'ai de ressource que dans votre fide'lite', dans votre courage, 

 et dans ma Constance ; ja mets au vos mains la fllle et le fils de vos 

 rois qui atteudent de vous leur salut. Tous les de'pute's attendris et 

 anime's tirerent leurs sabres en s'lScriant : Mourons pour notre roi 

 Marie Thdrese ! Us donnent toujours le titre de roi a leur reine. 

 Jamais princesse en effet n'avait mieux nitrite' ce titre. Us versaient 

 des larmes en faisant serment de la defendre : elle seule retint. 

 Mais quand elle fut retiree avec ses filles d'honneur, elle laissa couler 

 en abondance les pleurs que sa fermete' avait retenu. Vollaire. 



State the rules which govern the respective genders of the following 

 words : lot', libertrf, revendication, droit, espeee, science, huitre, marie, ideal, 

 ceuvre. 



Give the feminine forms of the following adjectives and nouns, and 

 explain the irregularities, when any : net, inquiet, grec, sec, long, roux, 

 voleur, majeur, perturbateur, menteur, aigu, dti, tiers, malin. 



State the rules of formation of the plural of compound nouns, 

 taking as instances the following: chou-fleur, arriere-garde, gentilhomme, 

 mademoiselle, timbre-poste, porte-feuille, moulin-d-vent, abat-jour, H6tel- 

 Dtew. 



" Ces Jostle's de la politique." When are proper nouns to take the 

 mark of the plural ? 



Write an Essay in F imcJi on, OKE of the following subjects : 

 La guerre dans les temps modernes. 



La guerre civile en France cornpare'e aux guerres civiles chez les 

 peuple anciens. 



" On ue peut pas mdpriser les autres sans se me'priser soi-meme." 

 " Le travail utile est une des conditions de la libertd et du bonheur." 



(Exercises of about equal length and difficulty are given in 

 Latin and the other languages.) 



MATHEMATICS, PURE AND MIXED. 



o 

 Prove that the line, y = mx + -, is a tangent to the parabola 



y 2 = 4ax, and find the value of c, when the line, y = mx + c, is a 

 normal to the same parabola. 



Prove that the equation to an ellipse, referred to its centre and 

 axes, is 



If chords of this ellipse touch the circle, 2 + y" = c 2 , prove 

 that the locus of their middle point is 



<a2y2 + bV) 2 = c 2 (a"y 2 + b^ 2 ). 



Show that a rational algebraic equation of an odd degree always 

 has one real root, and that an equation of an even degree with its 

 last term negative always has two real roots. 



What is the nature of the roots of the equation, 

 (a 2 + a 2 ) (*2 + b 2 ) (a;2 + c 2 ) + d 2 = ? 



Prove that a point, moving from rest with a constant accelera- 

 tion /, will describe in the time t a space | / 1 -, and that, if s be this 

 space, the velocity of the point at the time t will be V2/s. 



If the point have initially a velocity u in the direction of the 

 acceleration, explain why it is erroneous to assert that its velocity, 

 after passing <>ver a space s, is u + V2/s ; and investigate the true 

 expression. 



Find the range of a projectile on an inclined plane passing 

 through the point of projection and perpendicular to the vertical plane 

 of projection. 



Show that when the range is the greatest possible for a given 

 velocity of projection, the direction of projection bisects the angle 

 between the plane and the vertical. 



Explain the principle of the transmission of fluid pressure, and 

 describe the actions of a hydraulic press, and of a safety valve. 



NATURAL SCIENCE. 



Give an account of the action of water under various circumstances 

 in producing strata. 



Describe the other agencies that work with water in producing 

 strata. (1) What is meant by conformity and unconformity of strata ? 

 (2) Show by diagrams and description what bearing these conditions 

 of strata have in both theoretical and practical geology. 



Explain what is meant by the words (1) marl, (2) slate, (3) grit, 

 (4) loam, (5) schist, and (6) arkose. 



Describe galena, and state under what conditions and where it is 

 found, and how it is utilised. 



Mention the minerals that have the hexagonal system of crystallisa- 

 tion ; figure and describe their chief modifications. 



Describe the circumstances under which different lignites and coals 

 have respectively been formed ; and state the main differences between 

 lignite and coal as to composition, characters, properties, and modes 

 of occurrence. 



Explain how electric currents may be measured by reference to a 

 standard involving no arbitrary units other than those of time, space, 

 and mass. 



Define electro-motive force. What is the unit of measurement ot 

 electro-motive force ? Describe fully how to compare the electro- 

 motive force of a Grove's cell with that of a Daniell's ; and point out 

 the most probable causes of error in making the comparison. 



ARITHMETIC. 



Supposing the quick-time or step in marching to be 2 paces per 

 second, and the length of each pace to be 28 inches : find the time iu 

 which a regiment will march 35 miles. 



A merchant sells tea to a tradesman at a profit of 60 per cent. ; but 

 the tradesman becoming bankrupt pays only 2s. 6d. in the pound. 

 How much per cent, does the merchant gain or lose by the sale ? 



Find the length of the side of a square which is equal in area to 

 the rectangle the sides of which are 513 yds. 1 ft. 11 in. and 1628 

 yards 11 in. 



Find exactly the cube root of 1277289?VV. 



How many yards of carpet 2 '16 wide will cover a room 25'3 feet 

 broad and 28'8 feet long ? 



If a metric system of area were adopted, so that 2 acres 2 roods 6 

 perches would be represented by 5 -12, express the unit of measure- 

 ment in square yards and decimal parts of a square yard. 



POLITICAL ECONOMY. 



Show that it is impossible that there can be a general over-pro- 

 duction of valuable objects. 



Is there any fundamental principle which indicates a true distinction 

 between the imposition of local and imperial taxation ? 



Is the contest between capital and labour permanent and funda- 

 mental ? If not, give reasons for your answer. 



What are the evidences of a progressive state of wealth ? What are 

 those of industrial decline ? 



Has morality a price in social economy ? 



Is there the same economical defence for a technical education, i.e., 

 a training at the public expense in special branches of knowledge, that 

 there is for a primary education, i.e., a general culture of the people 

 at the public expense ? 



Under what circumstances is emigration a benefit, (l)to the country 

 from which the emigrant departs, (2) to the country in which h 

 settles, (3) to the emigrant himself ? 



What are the best taxes in a colony, where the population is scanty ? 

 What in a densely peopled country ? 



What is the effect of poor law relief on wages ? What is that of 

 endowments in aid of education on the salaries of teachers ? 



Define precisely what it is which gives value to objects, and point 

 out the causes which vary the value of the same object, under differing 

 circumstances. 



