strokes: what was the distance between them at start ing? 9. Divide (1) 237. 15s. 73d. by 37. (2) 8857. 195. 3 d. by 327. (3) 572 yards 3 quarters I nail by 47. (4) I acre 2 roods 32 perches 3 yards o feet 78 inches by 7. 10. If a person spends 2781. 6s. 3d. a year, how much does he spend each day (1) in an ordinary year, (2) in a leap year? 11. If a man spends as much in four months as he gains in three, how much will he lay by in a year from an income of 150%.? 12. A dozen persons hire an omnibus at 1l. 17s. 6d. for the day: how much inore must each pay than he would if the party were 15 in number? 13. At the Handel festival 23760 persons entered the Crystal Palace between 10 A.M. and 4 P.M.: what was the average per minute? 14. A ship left England at noon on January 1, 1851; she reached a port in Australia at midnight (Greenwich time) on April 23: supposing the length of the voyage to be 18225 miles, at what rate per hour did she run? 15. If 48 sovereigns are coined out of 16 ounces of metal, of which one-twentieth part is alloy, how much alloy is there in each sovereign? 16. Divide 217. 10s. among three persons, so that one may have 37. 10s. more than each of the others. 17. How many half-crowns, how many sixpences, and how many fourpences are there in 257.? 18. How many rails, each weighing I qr. 3 lbs., can be made out of 3 tons 16 cwt. I qr. 16 lbs. of iron? 19. How many plots of 2 acres each can be made out of an estate a mile square? 20. A man advances 2 feet 8 inches each step: how many steps will he take in 2 miles? 21. What would be the amount of a person's income, if the tax on it at 7d. in the pound amounted to 26l. 10s. 10d.? 22. A packet of sugar worth 8d. per lb. cost 17.8s. 10¿d.: what was the quantity? 23. Divide 20l. 2s. 6d. into two sums of money, one of which shall contain as many half-crowns as the other contains shillings. 24. A merchant spends 16367. 5s. on equal quantities of wheat at 42s., barley at 21S., and oats at 14s. a quarter: what quantity of each will he have? 25. What is meant by Quotient, Sum, Product, Factor, Integer ? 26. What is the test of a number being divisible by 2, 3, 4, 5, 6, 8, 9, 11? III. GREATEST COMMON MEASURE AND LEAST COMMON MULTIPLE. 2. Find the least common multiple of (1) 12, 21, 28, 30, 35. (3) 4, 9, 16, 28, 42. (5) 5, 7, 9, 11, 15. (7) 25, 27, 9, 11, 15. (9) 3, 7, 19, 42, 114. (11) 945, 990. 3. Find the greatest common multiple of (2) 18, 16, 63, 24, 56. (4) 6, 15, 18, 35, 72. (6) I, 2, 3, 4, 5, 6, 7, 8, 9. (8) 8, 12, 18, 24, 27. (10) 3, 8, 17, 40, 153. (12) 1530, 1581. common (1) 28431 and 216. (5) 125, 175, 225. (7) 161, 253, 299. measure and least (2) 24720 and 4155. 4. Define the terms Greatest Common Measure and Least Common Multiple. 3. Multiply of of 21 × 15 of 2 of 9 by 4 of 8%, and find the value 1 × 31 of 15. 13 |