MECHANICS (Intermediate Grade). Friday, June 23rd, 1911.- Morning, 9 to 11. Work neatly. 1. In what respects may forces be represented by straight lines, and what are the advantages of so representing them? (12) A weight of 20 lb. is supported by two cords attached to two hooks in a horizontal beam and to a point in the weight. The cords are 5 ft. and 2 ft. long respectively. Draw a diagram which will enable you by measurement to find the tensions of the two strings. (14) 2. Show how to find the resultant of two parallel forces acting in the same direction. A uniform rod, 4 ft. long and weighing 12 lb., rests horizontally with its ends on two props 4 ft. apart, and a body weighing 20 lb. is suspended from the rod at a point 1 foot from one end. Find the pressures on the props. (28) 3. Describe, and sketch, some simple machine by which a force of 50 lb. will sustain a load of 5 cwt. (24) 4. How much work is required to lift 5 bags of grain, each weighing 56 lb., to a floor 30 ft. high? What difference would it make in the amount of work if the grain was lifted by means of a single movable pulley? (26) 5. A stone is let fall from a tower, and falls 16 ft. in the first second. How far will it fall in the next second, and how far in the third second? (24) 6. Write out Newton's First Law of Motion, and give evidence of its truth. (24) 7. Describe an Air Pump, and also some experiments which may be made with it. (24) 8. How would you find the specific gravity of a piece of metal ? Give a numerical example. (24) MENSURATION (Intermediate Grade). Friday, June 23rd, 1911.-Morning, 9 to 11. Work neatly. Diagrams and formulæ should accompany the solutions, which should be given in full. [π = 22.] 1. The top of a ladder rests against the wall of a house at a point 48 ft. above the ground. The length of the ladder is 52 ft. How far is the foot of the ladder from the foot of the wall? (8) 2. A square pyramid has a height of 50 ft., and its volume is 60000 cubic ft. Find the length of a side of the base. (8) 3. How many cubic yards of earth must be removed to make a ditch 4 ft. deep, 6 ft. broad at the top, 3 ft. broad at the bottom, and 174 ft. long? (10) 4. A spherical iron shot is 6 inches in diameter. Find its weight to the nearest ounce. [1 cubic ft. of iron weighs 480 lb.] (10) 5. A sector of a circle has a radius of 16 inches and an angle of 70°. Find its area and the length of the arc. (10) 6. The conical spire of a church is 60 ft. high and 10 ft. in diameter at the base. Find the cost of covering it with sheet copper at 80 cents per square foot. Answer to the nearest dollar. (10) 7. A rectilinear field ABCD has AB 613 links, AD = 581 links, BC 672 links, and the angles at B and D are right angles. Find the area to the nearest acre. = (14) 8. A quadrilateral plot of land has two adjacent sides, each 17 chains, and the other two sides 20 chains, and one diagonal is 35 chains. Find its area to the nearest acre, and the length of the other diagonal to the nearest link. (14) 9. Draw neatly a Plan of the field ABCDEFG, and find its area in acres, roods, perches, from the following Field-Book entries in links: BOOK-KEEPING Double Entry (Intermediate Grade). Saturday, June 24th, 1911.- Morning, 9 to 11. N.B.-Extra marks are awarded for neat writing, with legible figures. Dates and Names of Persons must be given as stated. 1. Journalize the following Balances and Transactions. 2. Post the Journal entries into the Ledger. 3. Extract a Trial Balance. 4. Close the Accounts and compile a Balance Sheet. On May 1st, 1911, the Books of Mr. W. Welsh showed the following balances-Capital a/c to be calculated therefrom :-- During the month his Transactions were as follows:- May 2. Paid into Bank extra Capital ... $175.50 1015.00 440.00 500.00 824.50 645.00 $2000.00 3. Bought Goods for Cash (drawn from Bank) 800.00 5. Discounted B/R $300 at Bank, receiving ... 285.50 500.00 : and Cheque to settle his a/c (paid into Bank) 11. B/P met at Bank 315.00 440.00 13. Sold Goods to S. Scot 600.00 and paid Carriage thereon, chargeable to Scot 25.50 24.75 Credit Note for same 150.00 18. Sold returned Goods for Cash (paid into Bank). 145.00 and handed to F. French. 400.50 May 20. Drew for Self 25.00 22. Notified that S. Scot's Cheque received on 19th inst. was dishonoured 400.50 and Cheque (post-dated one month) 75.50 24. F. French took Goods in settlement of his a/c 630.00 27. Sold remainder of Goods in stock to G. German for 5. Explain briefly and concisely the following terms:- Goodwill, Credit Note, Rate of Exchange, Depreciation. 6. Describe clearly a "Bought Book" or a "Cash Book," and state the purpose it serves and the advantages of its use. FRENCH (Intermediate Grade). Tuesday, June 20th, 1911.-Afternoon 3 to 5.30. NOTE.-Candidates may take either Paper A or Paper B, not both. Paper A.-Souvestre's "Le Serf” and “Poems for Recitation." Work neatly. A. ACCIDENCE. 1. Translate into French :-Would you not know him again? When did they arrive? Has he not been told to do it? He died yesterday. Did he suffer much? (15) 2. Où les maisons sont entassées. Beaucoup de serfs avaient fini par se racheter. Explain why the past participles entassées, fini, are the one variable, the other invariable, and deduce a general rule. (10) 3. Rewrite the following sentences, making all the necessary changes. in the construction necessitated by putting the verb (a) In the passive voice:-La nuit nous a surpris. Les petits ruisseaux forment les grandes rivières. (b) In the active voice: Les qualités naturelles de l'enfant sont développées par l'éducation. Les moutons seront toujours dévorés par les loups. Les meilleures choses doivent être prises en petite quantité. 4. Replace, in the following sentences, the words in italics (15) (a) By the appropriate personal pronouns :-Les hommes louent la vertu, mais les hommes ne pratiquent pas la vertu. Si l'on accuse votre ami absent, défendez votre ami. (b) By the substantive or phrase they represent:-Les vrais amis sont rares, l'adversité les fait connaître. Le peuple romain touchait à sa ruine, tout le monde en était convaincu. (15) 5. Translate into French :-This mountain is very high; it is the highest in the country. I was born on the fifteenth of July. There is not a man in this town who would not fight bravely. Do you like these horses ?-I prefer those. What did he say you ?-He said I must finish my work. Have you finished yours ? to B.-TRANSLATION INTO FRENCH. (15) 1. An old man with white hair and a young boy about sixteen years old were in that poor cabin. 2. What was the name of the boy ?-His name was Jehan, and he had learnt Latin. |