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SCALES.

1 What is a scale? How many scales are there? 2 Name the scales and describe each. P. 26. 3 What is the scale in the common system of numbers?

4 What is the scale in English currency ?

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6 If a row of O's be written, what does the language of figures determine? What is such a system called? How does the unit change?

7 How do you express a given number of units of any order? P. 26.

UNITED STATES MONEY.

1 Are the numbers used in United States money abstract or denominate? According to the scale do the units change?

2 How are dollars separated from cents and mills?

3 What is an aliquot part?

4 Name the aliquot parts of a dollar? P. 27. 5 In the English currency, is the scale varying or uniform? P. 28.

6 Name the units of the scale in avoirdupois weight.

7 How many general methods are there of forming numbers from the unit one? Name them. P. 29.

INTEGRAL UNITS.

1 Into how many general classes may the units of Arithmetic be arranged? Name them. P. 29.

SIGNS.

1 Name the signs used in Arithmetic, and explain the use of each.

PROPERTIES OF THE 9's.

1 What would be the excess over exact 9's in any number expressed by a single significant figure?

2 How may the excess over exact 9's be found in any number whatever? P. 31.

REDUCTION.

1 What is Reduction? P. 31.

2 How do you change yards to feet?

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5 In 6 yards, 2 ft., 9 inches how many inches? 6 In 7 tons, 14 cwt., 1 qr., 20 lbs., avoirdupoise, how many lbs.?

DIFFERENT KINDS OF UNITS.

1 How many kinds of units are there in Arithmetic?

2 Name them. P. 383.

3 What is said of the abstract unit?

4 66 is a unit of the second order? Third Fourth, etc.?

5 How are these numbers formed from 1? P. 383.

6 What is a unit of currency? P. 384.

7 What is the unit of currency in the U. S.?

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10 For what is an invariable standard of length used?

11 What is the standard unit of length in the English system?

12 What is the standard unit of length in our system?

13 What is the standard unit of length in the French system?

14 How was the standard unit of length in the French system formed?

15 How does the French metre compare with the Imperial yard? P. 385.

16 What is the most convenient unit of surface? 17 What are those in common use? P. 385. 18 What is the unit of volume for the measurement of solids?

19 What are those in common use? P. 386. 20 What is the standard unit for the measurement of liquids?

21 What is the standard unit for dry measure? 22 What is used as a standard in fixing the units of weight?

23 How many units of weight have we?

24 How is the standard avoirdupoise pound determined?

25 How is the standard troy pound determined? 26 Which is represented by a standard at the mint?

27 How is time measured? 28 What motion is uniform?

29 What is the natural unit?

30 For what is circular measure used? P. 387. 31 What is the unit of circular measure?

32 On what does the units determined by the pendulum depend?

33 How is time measured?

34 To what, then, are all these units referred ? 35 How are the ideas of the absolute and relative values of the units to be communicated to a class? P. 388.

36 What is United States money? What the names of its units?

37 What are the coins of the United States? 38 What is the primary unit in United States money?

39 Repeat the table of United States money. 40 How does this compare with the scale in simple numbers?

41 What is the degree of purity of the gold coins? Of Silver? Copper? P. 389.

42 What is a carat?

43 How are metals mixed by carats?

44 In what denominations is money sometimes reckoned in the different States ?

45 What are the denominations of English money? P. 391.

46 Repeat the table of English money.

47 What are the primary units of English money?

48 How are farthings generally expressed? P. 392.

49 What is the standard of the gold coin? P.

392.

50 What is the standard of the silver coin? P. 393.

51 A pound of gold is worth how many times as much as a pound of silver?

52 In the copper coin how many pence make a pound avoirdupois? P. 393.

53 For what is linear measure used?

54 What are its denominations?

55 Repeat the table?

56 What are the units of the scale?

57 What is a fathom?

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59 How does the Imperial yard compare with the standard of the U. S.? P. 394.

60 What is the unit of the French system of measures?

61 How does the metre compare

standard yard? P. 394.

62 For what is cloth measure used?

63 What are its denominations?

64 Repeat the table of cloth measure?

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65 What are the units of the scale? P. 395. 66 For what is square measure used?

67 Describe a square.

68 How is the numbers of small squares contained in a large square found?

69 Repeat the table.

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