3. Reduce 1 mg. to T.

4. Reduce 1 T. to mg.

5. Reduce 9876543215 mg. to higher denominations.

6. Read the above number, giving each figure the name of the denomination it represents.

7. Recite the table of weight.

8. Spell the name of each denomination.

9. Reduce 7.42 quintals to centigrams.

10. Reduce 543 mg. to Mg.

11. One gram equals 15.432 grains. How many grains in 1 Kg.?

12. One pound, Avoirdupois, contains 7000 gr. How many pounds are equivalent to one Kg.?

13. Mr. Smith weighs 100 Kg.; how many pounds does he weigh?

14. How many grams does a cubic meter of distilled water weigh?

15. Would a cubic meter of any other substance weigh the same? State your reason.

16. How many kilograms of water will a tank 4 m. x 3 m. x 12 dm. hold?

REVIEW QUESTIONS.

223. 1. How many tables in the Metric System?

2. Name the standard units in the order in which they have been given. Repeat them until you can say them as rapidly as you can talk.

3. Name the prefixes in the same way.

4. Name and describe the unit of capacity measure; of weight; of length; of volume; of surface.

5. Repeat the tables.

6. The stere is the unit of what measure? The meter? The are? The gram? The liter?

7. How can metric numbers be reduced to higher denominations? to lower?

8. How many things are to be committed to memory in the Metric System?

9. What is 39.37? 15.432? 10? These are the only numbers that need be remembered.

GENERAL REVIEW.

224. 1. Define fraction, numerator, fractional unit, terms, reduction of fractions.

2. Change 217 to 20ths.

3. Give the principle upon which reduction of fractions is based. Illustrate.

4. Add 253, 143, 78.

5. Give the rule for reducing fractions to their least common denominator.

6. A man owned of a foundry and sold of his share for $1200; what was the foundry worth?

7. Reduce to simple form (153 − 37) × (2} + 53).

9. Reduce to least common denominator six thirtyfifths, nine twentieths, and five sixteenths, and arrange the results according to value.

10. A man having $130 used of it; how much of it remained?

11. C and D can do a piece of work in 24 days, D can do it alone in 45 days; how many days will C require to do it?

12. The numerator of a fraction is 6510, the denominator 66495; reduce the fraction to its lowest terms.

13. If 7 be added to each term of the fraction, will its value be increased or diminished, and how much?

14. Two men are 140 miles apart, and travel towards each other, one at the rate of 31 miles an hour, and the other at the rate of 4 miles an hour; in how many hours will they meet?

15. Define decimal fraction; an account; currency.

16. What will 6827 feet of lumber cost at $10.50 per M. ?

19. Find the cost of 7896 pounds of hay at $16 a ton. 20. Express in figures two hundred sixty-five and five thousand one hundred ten millionths.

21. Change .875 to a common fraction in its lowest terms.

22. How is a bill receipted?

23. Give a rule for dividing a decimal by 10, 100, 1000,

etc.

24. Reduce 3.25, 12.364, and .56087 to a common denominator.

25. When will a fraction reduce to a perfect decimal? 26. 7.6875 187.5 × (5} + 2ğ)

=

what?

27. How is the place for the decimal point in the product determined?

28. Give the abbreviations of Creditor and Merchandise. 29. Name the seventh decimal order.

30. James Harris of Syracuse, N.Y., sold for cash to Preston White, on Nov. 4, 1887, 42 lb. of sugar at 10

cents; 3 lb. Y. H. tea at $.60; 4 gal. molasses at $.75; 48 yd. sheeting at $.14; 1 box starch 46 cents; and 8 doz. eggs at $.24.

Make the bill in due form.

31. Define a square; a circle.

32. Write the table of cubic measure.

33. For what purposes are the following used: Troy weight, dry measure?

34. The last war with England commenced June 18, 1812, and ended Feb. 17, 1815. How long did it continue?

35. A jeweller made 3 lb. 2 pwt. 2 gr. of gold into rings weighing 5 pwt. 10 gr. each. How many rings were there ?

36. Reduce 2 mi. 6 ch. 3 rd. to links.

37. Reduce to integers of lower denominations £3, and .25256 T.

38. Change 43 53 29 8 gr. to a decimal of a pound. 39. Find the result of 4.8 bu. + 23 bu. + .8125 pk. + 23 pk. + bu.

40. A grocer bought 35 casks of molasses, each containing 44 gal. 2 qt. 1 pt. How much did they all contain?

41. A ship in 8° north latitude sailed due south until it reached 12° south latitude; find the distance it sailed in statute miles.

42. Find the value of of a ton.

43. Reduce of a year to integers of lower denominations.

44. Reduce of a lb. Troy to integers of lower denominations.

45. Express 120 rd. 2 yd. 1 ft. 6 in. as the fraction of a mile.

46. Reduce 45 sq. rd. 2 sq. ft. 9 sq. in. to the fraction of

an acre.

47. What part of a day are 6 hr. 13 min. 20 sec. ?

48. What part of 4 gal. 2 qt. 1 pt. are 1 gal. 1 qt. 1 pt.?

49. At 25 cents an ounce, what is the value of 18 oz. 10 pwt. 12 gr. of silver?

50. How much will it cost to fill a bin with corn at $.45 a bushel, if the bin is 10 ft. square on the bottom and 4 ft. deep?

51. A cistern measures inside the walls 8 by 6 by 9 ft., and lacks ft. of being full. How many gallons does it hold?

52. How many bushels will a box of the same dimensions hold?

53. How many cords of wood in a pile of wood that is twice the length, height, and width of an established cord?

54. Find the total weight of 5 car-loads of coal, weighing respectively 14 T. 18 cwt. 63 lb., 17 T. 4 cwt. 85 lb., 13 T. 19 cwt. 26 lb., 15 T. 10 cwt. 43 lb., and 14 T. 7 cwt. 90 lb.

55. How many bricks 8 in. by 4 in. by 2 in. will it take to pave a street mile long and mile wide, laying the brick on the longest narrow face? placed on end?

How many if they are

56. How much wood in three piles, the first of which contains 10 cd. 6 cd. ft. 4 cu. ft., the second 12 cd. 12 cu. ft., the third 17 cd. 1 cd. ft.?

57. A family consumes daily 6 lb. 14 oz. of bread. If each loaf weighs 1 lb. 6 oz. and costs 7 cents, how much does bread cost the family for the month of August?

58. Find the sum of mi., 3 fur., rd., and ft.