QUESTIONS FOR REVIEW. What is a number? What is an abstract number? What is a denominate number? Into what two classes are denominate numbers divided? Define each. By what other name are compound denominate numbers usually called? Why may the word "denominate" be omitted? What is currency? Of how many kinds of money is United States currency composed? What is meant by measure? Name the two kinds of measures. How are the measures of extension divided? What tables are used in measuring lines? In measuring surfaces? In measuring contents? In measuring capacity? What table is used in measuring duration? What tables are used in measuring the weight of bodies? What is Reduction? Name the two kinds of reduction. Define Reduction Descending. Repeat the rule. Define For what is Dry Measure used? Name the denominations. Repeat the table. For what is Liquid Measure used? Name the denominations. Repeat the table. For what is Long Measure used? Name the denominations. Repeat the table. For what is Square Measure used? Name the denominations. Repeat the table. What is a square inch? A square yard? How is the area of a rectangle found? For what is Cubic Measure used? Name the denominations. Repeat the table. What is a cubic inch? A cubic yard? For what is Wood Measure used? Name the denominations. Repeat the table. For what is Circular Measure used? Name the denominations. Repeat the table. For what is Time Measure used? Name the denominations. Repeat the table. Name the calendar months in their order, and give the number of days in each. How many days has February in leap years? Name the four seasons of the year and the months of each. For what are the three weights respectively used? Give the denominations and repeat the table of each. Repeat the miscellaneous table. LESSON XIV. Miscellaneous Review Problems. 1. How many quarts in g of a bushel? 3. How many hours in of a week? 4. How many ounces in 2 pounds of sugar? In 2 pounds of silver? 5. What will of a cwt. of sugar cost, at 15 cents a pound? 6. What will of a gallon of oil cost, at 25 cents a pint? 7. What will of a ream of paper cost, at 20 cents a quire? 8. What will of a ton of hay cost, at 75 cents a cwt.? 9. A boy picked 3 pecks of cherries, and sold them at 10 cents a pint: how much did he receive? 10. If a ship sail 3 leagues an hour, in how many hours will it sail 63 miles? 11. How many half-pint bottles will a gallon of sweet oil fill? 12. How many quart baskets will 3 pk. 5 qt. of strawberries fill? 13. How many leap years in every century? 14. How many calendar months in 20 years? WRITTEN EXERCISES. 15. A fruit dealer bought 24 barrels of apples, containing 23 bushels each, at $2.50 a barrel, and sold them at $1.25 a bushel: what was his gain? 16. What will 20 yd. 2 ft. of iron railing cost, at $1.25 a foot? 17. What will 40 miles of telegraph wire cost, at 25 cents a yard? 18. How many times will a carriage-wheel 11 feet in circumference turn round in running 2 miles? 19. How many times will a car-wheel 5 feet in circumference turn round in running from Columbus to Cincinnati, the distance being 120 miles? 20. How many acres in a township 6 miles square? 21. What will a piece of land 40 rods long and 32 rods wide cost, at $75 an acre? 22. How many hills of corn can be planted on 5 acres, allowing 1 hill to every square yard? 23. How many people can stand on a terrace 250 feet long and 120 feet wide, allowing 4 persons to each square yard? 24. What will it cost to gravel a street 129 rods long and 60 feet wide, at 75 cents a square yard? 25. How many square yards of plastering in the walls and ceiling of a room 21 feet long, 18 feet wide, and 9 feet high? 26. How many yards of carpeting, a yard wide, will carpet a room 18 feet long and 15 feet wide? 27. If 1000 shingles will cover 100 square feet, how many shingles will cover a roof each side of which is 48 feet long and 15 feet wide? 28. A park containing 40 acres is 50 rods wide: how long is it? 29. How many cubic feet in a bin 12 feet long, 8 feet wide, and 3 feet deep? 30. How many perches of stone in a wall 99 feet long, 8 feet high, and 11⁄2 feet thick? 31. What will it cost to dig a ditch 80 rods long, 4 feet wide, and 2 feet deep, at 15 cents a cubic yard? 32. At $4.50 a cord, what will be the cost of a pile of wood 48 feet long, 6 feet high, and 4 feet wide? 33. How many times will a clock that ticks seconds, tick in the month of June? 34. If a person read a half hour each day, how many hours will he read in 40 years, of 3651 days each? 35. How many gold rings, each weighing 4 pwt., can be made from a bar of gold weighing 1 lb. 4 oz.? 36. A car contains 80 barrels of pork, and another 80 barrels of flour: what is the difference in the freight of the two cars? 37. How many gross of pens will supply 4320 pupils one year, if each pupil require 4 pens? 38. If 10 sheets of paper will make a 16mo book of 320 pages, how many reams will it take to publish an edition of 2000 copies ? I. A.-12. SECTION X. COMPOUND NUMBERS. LESSON I. Addition of Compound Numbers. 1. What is the 8 bu. 2 pk. 1 pt.; 5 qt. 1 pt.? PROCESS. bu. pk. qt. pt. 5 3 6 1 8 2 0 1 10 1 3 0 sum of 5 bu. 3 pk. 6 qt. 1 pt.; 10 bu. 1 pk. 3 qt.; and 3 pk. Write the compound numbers so that terms of the same denomination shall stand in the same column. Add first the column of pints. The sum is 3 pints, which equal 1 qt. 1 pt. Write the 1 pt. under the pints, and add the 1 qt. The sum of the quarts is 15 Write the 7 qt. under the the column of pecks. The with the column of quarts. quarts, which equal 1 pk. 7 qt. quarts, and add the 1 pk. with sum of the pecks is 10 pecks, which equal 2 bu. 2 pk. Write the 2 pk. under the the column of bushels. pecks, and add the 2 bu. with The sum of the bushels is 25 bushels. The sum of the four compound numbers added is 25 bu. 2 pk. 7 qt. 1 pt. |