15. Find how often a rod of two feet ten inches in length must be applied to measure 10 miles 80 yards. 16. Light travels at the rate of 192,500 miles a second; if the sun's light takes 8 min. 13 sec. in reaching us, what is his distance from the earth? COMPOUND RULES (Weights and Measures). 1. Subtract 22 pls. 16 yds. of land from 5 acres 1 rood. 2. Subtract 12 lbs. 8 oz. 2 drs. I scr. 12 grs. from 28 lbs. 7 oz. I dr. 2 scr. 4 grs. Multiplication. 1. Multiply 37 yards 2 feet 8 inches by 315. 2. Multiply 17 cub. yds. 15 cub. ft. 1716 cub. in. by 86. 3. Multiply 1 qr. 17 lbs. 11 oz. 15 drs. by 120. 4. Multiply 17 yrs. 110 dys. 17 hrs. 57 sec. by 144. 5. Multiply 5 dys. 17 hrs. 39 min. 20 sec. by 120. 8. Multiply 17 cub. yds. 21 ft. 57 inches by 84. 10. Multiply 5 hhds. 27 gals. I pt. of wine by 390. 11. Multiply 43 dys. 18 hrs. 45 min. by 77. 12. Multiply 35 ac. 2 rds. 19 pls. by 68. 13. Find the number of yards in 40 pieces of cloth, each containing 40 yds. 2 qrs. 2 nls. 14. If a wheel 5 yds. 1 ft. 6 in. in circumference make 64,640 revolutions, what space will it pass over? 15. Find the total weight of eight hundred and seventy iron pillars, each weighing 3 cwt. I qr. 25 lbs. 16. How many yards are there in 128 pieces of cloth, each piece containing 7 yds. 3 qrs. 2 nls. ? 17. Find the total weight of 435 iron pillars, each weighing 6 cwt. 3 qrs. 22 lbs. 18. What is the weight of 24 barrels of tar, weighing 1 cwt. 2 qrs. 17 lbs. 5 oz. each? Division. 1. Divide 2 dys. 17 hrs. 30 min. 6 sec. by 6. 2. Divide 267 lbs. 5 ozs. 10 dwts. by 49. 3. Divide 425 tons 15 cwt. 2 qrs. 12 lbs. by 27. 4. Divide 40,961 tons 11 cwt. 3 qrs. 8 lbs. by 188. 5. If a person complete a journey of 222 mls. 3 fur. 28 pls. in 37 days, what distance does he travel in one day? 6. A wheel makes 514 revolutions in passing over 1 ml. 467 yds. 1 ft.; what is its circumference? MISCELLANEOUS EXERCISES ON THE COMPOUND RULES (Weights and Measures). 1. A ship's company of 132 men had 7 tons 18 cwt. of biscuit, which was to last 3 weeks; what was each man's share per day? 2. How many pounds of silver are there in a half-dozen dishes, each dish weighing 51 ozs. 10 dwts., and a dozen plates, each plate weighing 15 ozs. 15 dwts. 22 grs.? 3. A ship delivered a cargo of 18 qrs. 7 bush. 3 pks. of barley, half as much again of flour, and as much wheat as both barley and flour together; how many quarters were there in all ? 4. What is the difference between a roll of silk that measures 154 yds., and 3 rolls measuring 17 yds. each, and what do all measure together? 5. A field of 78 acres 3 rds. is divided into equal numbers of plots of 1 rd. 25 pls., and of 2 rds. 35 pls. ; now many will there be? 6. A cart weighs 12 cwt. 2 qrs. 17 lbs., but when loaded with sand it weighs on the machine of a toll-bar 1 ton 7 cwt. 1 qr.; how much does the sand weigh? 7. There are five roads measuring 3 mls. 4 fur. each, four measuring 7 mls. 6 fur. 20 pls. each, and seven measuring 6 mls. each; what is the total length? 8. A man sets out to walk 154 mls.; he walks 21 mls. the first day, 18 the next, 30 mls. 3 fur. the next: how much farther has he to go? 9. At a circus there were 22 horses, and each went 16. rounds, the circle being 120 ft. round. Find (1) how many yards in all they ran; (2) how many chains; (3) how many miles. EXERCISES INVOLVING REDUCTION AND THE COMPOUND RULES (Money). 1. Find the difference between twenty guineas and four thousand nine hundred and seventy-three farthings. 2. Take seven thousand and nineteen halfpence from fiftysix pounds. 3. Find the difference between seventy thousand and nineteen farthings and fifty pounds. Weights and Measures. 1. Find the difference between 80 yds. 1 qr. I in. and twenty thousand six hundred and thirty-eight inches. 2. How many 6 lb. packages may be made out of a hogshead of sugar weighing 5 cwt. 3 qrs. 8 lbs., the weight of the cask being 2 qrs. 14 lbs. ? 3. Find the difference between thirty thousand six hundred and seven inches and 92 mls. 867 yds. 5 inches. 4. Find the difference between forty-nine tons two qrs. seventeen lbs. and fifty thousand nine hundred and seventeen ounces. 5. Take 2391 cubic inches from 16 cub. yds. 10 cub. ft. 62 cub. in. 6. How many grains are there in 47 packets, each containing I lb. 7 ozs.? 7. The weight of a cub. ft. of water is 1000 oz. avoirdupois; find the weight of a cub. inch. Find the cost of : PRACTICE (Simple). 1. 2,196 lbs. of sugar at 61d., at 52d., and at 1s. 51d. per lb. 2. 17,729 sq. yds. at £2, 5s. 10d. per yard. 3. 15,638 articles at 175. 9 d. each. 4 7,689 articles at 16s. 7 d. each. 5. 13 tons at £1, 18s. 111d. per cwt. 9. 15,638 articles at 18s. 63d. each. 13. Find the total cost of 793 railway tickets at 16s. 8d., and of the same number at 6s. 9d. each. 14. 2,973 lbs. of tea at is. 113d. per lb., the same at 2s. 11d. per lb., and the same at 2s. 44d. per lb. ; find the total cost. 15. A man receives 101 rupees, worth is. 1od. each, and 450 mohurs, worth 29s. each; what is the value in English money? 16. Find the cost of 15,134 articles when one costs £28, 13s. 111d. 17. The annual rent of a parish is £13,793, and the poor rate is 2s. 7d. in the £; to how much does the rate amount? 18. Find the cost of 751 a dozen. dozen of wine at £2, 17s. 10d. 19. A bankrupt's debts are £7357, and he is able to pay 125. 9 d. in the £; what are his effects worth? 20. A Jewish shekel weighed 219 grains Troy, and was worth 2s. 34d. What was the value in our money of the freewill offering of 16,750 shekels after the destruction of Midian, and what was its weight of metal ? 21. Compare the values of 777 articles at £3, 75. 10d. each, and 923 articles at £2, 15s. 101d. each. 22. The national debt of France in 1834 was 326,566,496 francs of 9 d. each; state it in English money. 23. A bankrupt owes £5926, and pays 6s. 84d. in the £; what sum does he pay? 24. If a Napoleon be worth 16s. 4 d., what amount of English money will purchase 227 Napoleons? 25. What is the value of 104 cheeses, each cheese weighing 18 lbs., at 6 d. per lb.? 26. Find the value of 4013 things at £2, 16s. 61d. each; and of 6005 things at 18s. 3 d. each. 27. Find the total cost of: 463 articles at £4, 1s. 10d., Find the cost of : PRACTICE (Compound). 1. (a) 7 lbs. 6 oz. 7 drs. 2 scr. 7 grs. at 10s. per oz. (b) 69 cwt. I qr. 21 lbs. at £7, 15s. 4d. per cwt. 2. 11 tons 17 cwt. 1 qr. 19 lbs. at £7 a ton. 3. 10 lbs. II OZ. 16 dwts. 16 grs. of gold at £3, 175. 101d. per oz. 4. 4 tons 4 cwt. 2 qrs. 14 lbs. at £8, 14s. 4d. per cwt. 5. 1279 lbs. 8 oz. 10 dwts. at £6, 9s. 6d. per lb. 6. 501 lbs. 9 Oz. II dwts. 12 grs. at £3, 7s. 6d. per lb. 7. 19 qrs. 5 bush. 3 pks. at £2, 8s. 4d. per bushel. 8. 39 qrs. 3 bush. 2 pks. at £1, 4s. 2d. per bushel. 9. 207 galls. 3 qts. 1 pt. at 4s. 91d. per quart. 10. 7 galls. 3 qts. 1 pt. of milk at 21d. a quart. 11. 319 cwt. 3 qrs. 16 lbs. at £2, 12s. 6d. per cwt. 12. 39 yds. 3 qrs. 3 nls. of cloth at 5s. a yard. 13. 22 qrs. 4 bush. 3 pks. of wheat at 5s. 81d. per bushel. |