REQUIREMENTS FOR ADMISSION. (ACADEMICAL DEPARTMENT.) 1883-84. Higher Arithmetic: Including the metric system of weights and meas ures. Algebra: So much as is included in Loomis's Treatise, up to the chapter on Logarithms. Geometry: Euclid, book first, and the first 33 exercises thereon in Todhunter's edition; or, the first four books in other geometries, with the above exercises. Latin Grammar. Cæsar: Four books of the Gallic war, or two books of the Civil war. Vergil: Bucolics, and first six books of the Æneid, including Prosody. Ovid: Metamorphoses, 2500 lines. The translation, at sight, of passages from Cicero or Cæsar. The translation into Latin of a connected passage of English prose. [As special importance will be given to this part of the examination, it is suggested to teachers that they connect exercises in making Latin, both oral and written, with all the Latin studies of the preparatory course.] Roman History: Creighton's Primer of Roman History is suggested as indicating the amount required. Greek Grammar. The translation of English into Greek. Xenophon: Anabasis, four books. Homer: Iliad, three books, with Prosody. The translation, at sight, of a passage from some work of Xenophon. The rules for pronunciation given in Hadley's Grammar are recommended as a guide. For Greek History, Dr. Wm. Smith's or Fyffe's text-book; and for Greek Composition, Jones's Exercises or White's Lessons are suggested. ENTRANCE EXAMINATION PAPERS. ARITHMETIC. 1876. 181 of fo. 154 2. Reduce one-third of a farthing to the decimal of a pound. 3. What is the cost of 0.33 bbl. of wine at $1.15 per pint? 1. Add of 3 to 4 of 4. (a) Divide 0.314 by 1.785. (b) Multiply 0.785 by 0.0191. 5. Extract the square root of to four decimal places. 6. Extract the cube root of 18.65 to two decimal places. 7. If 12 yds. of silk that is yd. wide will make a dress, how many yards of muslin that is 13 yds. wide will be required to line it? 8. If a person steps 0.8m at each step, how many steps will he take in walking around a rectangular field, which contains 1080h, and whose breadth is 1800m? 1877. 731 1. of offt. (long measure) equals what decimal 97 of a rod? 2. Multiply 3.15 by 0.075, and extract the square root of the product to three decimal places. 3. Divide 3.15 by 0.075, and extract the cube root of the quotient to two decimal places. 4. How much would $350 amount to in 7 years, at 6 per cent, compound interest? 5. What weight of water (in kilograms) may be contained in à cistern 17 long, 1.3m broad, and 0.8m deep? 2. Multiply 903.14 by 0.063, and extract the square root of the product to three decimal places. 3. Divide 6 by 0.089, and extract the cube root of the quotient to two decimal places. 4. What is the value, at $4500 per acre, of a piece of ground containing 30 rds. 19 ft. 89 in.? 5. How many liters in a box 1.2m long, 8cm wide, and 50mm deep? 1879. 1. Divide 4 of 4 of § by #4, and add the quotient to §. 2. Extract the square root of 0.875 ÷ 2.63 to three decimal places. 3. Multiply 2.49 by 22.32, and extract the cube root of the product to two decimal places. 4. Reduce 0.333 A. to rods, yards, feet, and inches. 5. Multiply 17.285 by 312,500, and give the product in kilos. 1880. 1. Reduce to a common denominator and add 3 × 1 × 535, 75, 4, and . 36 S 4 2. Divide by 64 1 3. Find, to three decimal places, the value of 4. Find the 4th term of a proportion of which the first, second, and third terms are, respectively, 3.81, 0.056, 1.67. 5. Reduce 3 R. 13 sq. rds. 8 sq. ft. to decimal of an acre. 6. (a) In a board 4m long and 0.4m wide, how many square decimeters? (b) Divide 2700hl by 90c1. 1881. 33 510 1. Divide of of by and add the quotient to 1-7 2. Find to three decimal places. 3. Find, to three decimal places, the number which has to 0.649 the same ratio which 58 has to 634. 4. A man bought a piece of ground containing 0.316 A. at 53 cts. a square foot; what did he pay for the piece? 5. A grocer buys sugar at 18 cts. a kilo, and sells it at 1ct. per 50%; how much per cent does he gain? 1882. 1. Find the value of 3 of of an acre at $1.36 per 5,2% square foot. 2. Divide 3.63 by 2.353, and find the square root of the quotient to three decimal places. 3. Find a fourth proportional to 3.75, 0.23, and 0.16. 4. (a) Multiply the sum of 7km, 823m, and 125mm, by 5.12. (b) What is the weight in kilograms of 12h of water? 1883. 1. Divide 82.1 by 41, 8.21 by 0.41, and 0.821 by 410. Carry the result in each case to four decimal places. 2. Find the value to three decimal places of 4. Some sugar is adulterated as follows: is worth 8 cents per pound, is worth 10 cents per pound, is worth 12 cents per pound, and the remainder, 33 pounds, is sand. What is the mixture worth per pound? 5. Bank stock which sells at 170 pays an annual dividend of 12 per cent. What rate of interest does a buyer receive? 6. Find the depth in meters of a cubical cistern which has a capacity of 30,000'. Give the result to three decimal places. |