24. What will it cost to plaster the four walls and the ceiling of a room 18 ft. long, 12 ft. wide, and 9 ft. high, at 40¢ per square yard? How many cords of wood would the above room contain if completely filled? 25. The sum of two numbers is 4, and their difference What are the numbers? 26. A man agrees to dig a cellar 30 ft. long, 24 ft. wide, and 6 ft. deep. What % of the work has he done when he has dug out 16 cu. yd.? 27. A man bought 672 yards of cloth at $1.25 a yard. He sold it immediately for $2.25 a yard, receiving in payment a 60days note for the amount, which he had discounted at a bank at 7%. How much money did he make? 28. What will it cost to fill in a street 55 feet wide, 600 feet long, and 5 feet below grade, at 40% a cubic yard? 29. BOSTON, May 23, 1888. Ninety days from date I promise to pay Geo. Three Thousand Seven Hundred Fifty Dollars. $3,750,0% Baker, or order, JAS. DONOVAN. Find the avails (proceeds) of the above note if discounted at 7%. 30. Add $754.60, $187.24, $536.84, $976.79, $878.29, $458.71, $549.96, $597.85. 1023. U. S. Civil Service. Departmental. Clerk Examination. 1. Express the following in figures, using such signs, monetary or otherwise, as may be necessary: (a) Fifty million one thousand three and seven hundred five millionths; (b) two million fifty-four thousand twenty dollars, eight cents, seven mills; (c) twenty-seven pounds, twelve shillings, and six pence. 2. Express the following in words: (See Art. 444.) (a) XCIXLXXIV.; (b) $83,010,036.069; (c) 304,005,160.010003; (d) 198 × 18 ÷ 49 - §. 111 3. The quotient arising from the division of 6,985.473 by a certain number is 51, and the remainder is 68.853. What is the divisor? 4. What is the value of the following? 5. In going 1 mile 94 rods 2 yards 1 foot, a carriage wheel makes 526 revolutions. What is the circumference of the wheel? 6. What is the weight (in tons, cwt., qr., etc.) of the water which fills a cistern 9 feet 8 inches long, 9 feet 4 inches wide, and 6 feet 9 inches deep, a cubic foot of water weighing 1,000 ounces? (1 ton = 2,240 pounds.) 7. On a note dated Oct. 16, 1886, for $2,650, with interest at 6 per cent, the following payments were made: Jan. 28, 1887, $575; May 22, 1887, $25; and Aug. 4, 1887, $948. What was due Nov. 25, 1887? 8. An owner of 6 per cent bonds sells them at the market quotation of 118, and invests the proceeds in 44 per cent bonds. The latter investment yields him the same income as the former. What did he pay per hundred for the 4 per cent bonds? 9. A grocer pays 18¢ per lb. for coffee and roasts it, it losing 10 per cent of its weight in the process. What must he charge per lb. for the roasted coffee in order to make a profit of 20 per cent, allowing 4 per cent for bad debts? 10. Money being worth 8 per cent per annum, what is the true discount on $450, which is due in 5 months and 21 days, without interest? (See Art. 1018.) SURFACES AND VOLUMES. 1024. Slate Problems. 1. If a piece of cloth is 20 yards long and & yd. broad, how broad is another piece of cloth 12 yards long that contains as many square yards as the former? 2. An iron beam 16 ft. long, 21 ft. broad, and 8 in. thick, weighs 1,280 lb. What is the length of a similar beam whose breadth is 34 ft., thickness 71⁄2 in., and weight 2,028 lb. ? 3. What will it cost to carpet a room 22 ft. long by 15 ft. wide with carpet 24 ft. wide, costing $1.50 per yd.? 4. What is the length of a box 63 ft. wide and 71⁄2 ft. high, that will exactly contain 12 boxes 4 ft. long, 3 ft. wide, and 21 ft. deep? 5. What is the value, at $120 per acre, of a square field whose side is 35,25 chains? 6. What is the area in square feet of a triangle whose base is 18 ft. 4 in., and whose altitude is 11 ft. 10 in. ? 7. What is the area of a circle whose diameter is 7.5 feet, the area of the circle being .7854 times the area of the square that will just enclose it? 8. Find the capacity, in bushels, of a bin 22 ft. long, 14 ft. wide, 12 ft. high? 9. How many gallons will a tank hold, its dimensions being 4 ft. 1 in. by 3 ft. 8 in. by 2 ft. 3 in.? 10. How many square yards are there in the walls and the ceiling of a room 21 ft. long, 18 ft. wide, 12 ft. high? Make a diagram. 11. A tank 5 ft. by 6 ft. by 7 ft. can be emptied by two pipes, one of which discharges 9 gallons per minute and the other 7 gallons per minute. How long will it take each to empty the tank? How long will it take both together? 12. A parlor is 18 feet long, 15 feet wide. Make a diagram showing how carpet 27 inches wide can be laid without cutting the carpet lengthwise. Which would be the better way to lay carpet 30 inches wide in the above room? 13. Calculate the number of running yards of carpet 30 in. wide needed for the floor of the above room, including 4 yards wasted in matching the pattern. Find the cost of carpeting the room at 95 cents per running yard for carpet, 5 cents per square yard for lining, and 10 cents per running yard for sewing and laying. 14. A rug 18 feet long, 15 feet wide, is placed in the centre of the floor of a room 21 feet long, 18 feet wide. What is the width of the strip left uncovered? Find the area of the uncovered space? 15. A room is 18 feet wide, 24 feet long, 9 feet high. There are two doors 4 feet wide, 7 feet high; two windows 4 feet wide, 6 feet high; and a fire-place 5 feet square. How many square feet of plastering will there be on the walls and ceiling, deducting for a baseboard 12 inches wide? How many running feet of baseboard will be needed? Draw "development" of the above room, showing the four walls and the ceiling, and locating the doors, the windows, and the baseboard. Do not use baseboard where it is not required. 16. At the rate of $1,400 for a pile of lumber 25 ft. long, 20 ft. wide, 10 ft. high, what is the value of a pile 50 ft. long, 40 ft. wide, 20 ft. high? 17. If it costs $14 to paint the walls and the ceiling of a room 25 ft. long, 20 ft. wide, and 10 ft. high, what will it cost to paint the walls and the ceiling of a room 50 ft. long, 40 ft. wide, and 20 ft. high? 1026. U. S. Civil Service. Departmental Clerk Examination. 1. Express the following in figures, using such signs, monetary or other, as may be necessary: (a) Eight million eight ten-millionths. (b) Eight million eight hundred eight ten-billionths. (c) Seven million nine hundred seventy-four thousand dollars seventy-five cents five mills. (d) Four hundred thirty-five pounds (sterling) eighteen shillings nine pence. 96 2. Express the following in words: (a) 7,988,800.00088; (b) $97,970,120.058; (c) XXVXLIX; (d) ‡§ of 1897 - 37 of 44. (Art. 444.) 1027 3. From the sum of 976,438, 2,526, 57,694, and 698,342 subtract 937,660, divide the remainder by 388,000, and multiply the quotient by 2.005. |