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Numeration.

1. Read M48.05

SOLUTION.-M48.05 is read 48 and 5 hundredths metres; or it may be read 4 decametres, 8 metres, and five centimetres.

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REDUCTION OF THE METRIC SYSTEM TO THE COMMON SYSTEM.

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31. How many litres in 77 beer gallons?
32. How many litres in 6bu. 2pk.?
33. How many bushels in 65.25 litres?

Practical Problems.

1. What cost 25 metres of cloth, if 1 metre cost $3.45?

Ans. L355.808

Ans. L229.04 Ans. 1bu. 3pk. 3qt

Ans. $86.25

2. What cost 36 metres, 4 decimetres and 5 centimetres of cloth, at the rate of $4.65 a metre?

3. What cost 48.625 metres of cloth, if 9.725 metres cost $36.75?

Ans. $169.49
Ans. $183.75

4. What cost 35 metres 429 millimetres of carpet, at the rate of 19 francs 75 centimes a metre? Ans. F699.722+ 5. How much must I pay for 23 3-4 metres of silk, at 8 francs 25 centimes a metre?

Ans. F195,94

Ans. $184.69

Ans. $7701.75

6. What cost 49 ares 25 centiares of land, at $3.75 an are.
7. What cost 27 hectaries of land, at $285.25 a hectare?
8. What cost 3 kilares, 7 hectares, 6 deciares of land, at 275.25 a hectorie.

Ans. 10185.90

9. What must I pay for 29 decares, 17 centiares of land, at $6.65 an are?

Ans. $1929.63

10. How much will it cost to excavate 12 4-5 steres of earth, at $37.25 a stere ?

Ans. $476.80 11. What must I pay for 75 steres, 2 decis teres and 5 centisteres of wood, at the rate of $2.65 a stere? Ans. $199.41 12. If 5 decasteres of wood cost $12.75, what must I pay for 8 hectosteres 6 decisteres of wood? Ans. $204.153

13. What cost 15.25 litres of wine, in Federal Money, at 75.5 francs a litre ?

Ans. 214.15+ 14. How much must I pay for 3 decalitres 5 decilitres of molasses at $1.25 a litre? Ans. 38.12 1-2

15. How much must be paid for 12 grammes 5 decigrammes of jewels, at $6.50 a gramme? Ans. $81.25 16. What cost 672 grammes, 2 decigrammes and 5 centigrammes of opium, at 62 1-2 cents a gramme? Ans. $420.15 17. A man bought 7000 grammes of jewels at 40 francs a grammes, and sold them at $15 a penny weight; how much was gained or lost? Ans. 154.70

Problems on Imports.

1. An importer bought 428.5 metres of silk in France, at 18 francs a metre, sent it to the United States, paying 25 cents a metre shipping and duty, and sold it for $5.25 a metre; what was his gain? Ans. $707.88

2. An importer bought 428.5 grammes of drugs in France, at 12.5 francs a gramme paid 31 1-2 cents a gramme duty and freight, and sold them for $2.25 a grammes; how much was gained or lost? Ans. Lost $167.11

3. A man bought a valuable gem in France, which weighed 325.75 grammes, pay. ing 10.25 francs a gramme, the duty on it was $6.25; how must he sell it a gramme to clear $150?

Ans. $2.39 4. I bought 125.75 litres of wine in France, at 45.25 francs a litre, paid $1.25 a litre duty and freight, and sold it at $12.50 cents a litre; how much did I gain?

Ans. $356.31 5. An importer bought 625.5 litres of French brandy, at 7.55 francs a litre, paid 15 cents a litre duty and freight, and sold it in New York at $1.65 a litre; how much did he gain? Ans. 59.86

6. A man bought 200 metres of cloth in France, at 16.25 francs a metre; he paid 12 1-2 cents a yard duty and freight, and sold it in Boston at $4.62 1-2 a yard; what was the gain? Ans. $379.76

7. An importer bought 480 grammes of jewels at 12.25 francs a gramme, and paid $5.25 an ounce shipment and duty, and sold them in Philadelphia at $102.75 an ounce, what was the gain? Ans. $411.72

QUESTIONS FOR WRITTEN EXAMINATIONS.

WRITTEN ARITHMETIC.

1. A staff 3 4-5 feet high casts a shadow 33 feet long; how long is the shadow cast at the same time by a staff 3 1-6 feet high? 2. What part of 6 4-11 miles are 10 inches?

Ans. 3 1-18 feet.

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Ans.

40320

3. What is the cost of the paper for the walls of a room 22 feet 8 inches long, 18 feet 9 inches wide, 8 feet high, each roll of paper being 14 yards long, 14 feet wide, and costing $1.25 per roll; making allowance for doors, windows, &c., a surface equal to that of a single roll of the paper? Ans. $10.70 5-6

4. How many pounds of iron at 8-9 cent a pound must be given for 3 barrels flour at $6.872 per barrel? Ans. 2705 17-20 5. A note for $400.00 dated Dec. 15, 1855, and payable in 90 days was disco' `uted at a bank Feb. 20, 1856, when was it due and what was received on it?

Ans. Due March 27, 1856. $397.60 6. I bought goods for $600 cash, and sold them the same day for $680 on 7 months credit. What was my gain?

Ans. $57.004

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8. What must be my asking price for goods costing $3.50 a yard, that I may fall 12 per cent. from it, and still lose but 7 1-7 per cent. of the cost? Ans. $3.71 3-7 9. Divide $2880 among A. B. and C., so that when A receives $24, B shall receive $3.60, and C shall receive $63 as often as B receives $6.40.

Ans. A $675. B $1080. C $1125. 10. A merchant sold of his goods at a gain of 10 per cent., at a loss of 15 per cent., 1-5 at a profit of 25 per cent., and 7-60 at a discount of 12 per cent. For what per cent. of the cost must the remainder be sold that he may lose 2 per cent on the whole? Ans. 69 per cent.

MENTAL ARITHMETIC.

1. Divi $11. 0 between A. and B. so that when A. receives $3, B. shall receive $1 1-5. Ans. A. $4. B. $7.20

2. A. can pick 3 1-5 quarts of cherries in 4-5 hour, and B. can pick 23 quarts in 1 3-5 hours. How long will it take both together to pick 1 pk. and 1 pt? Ans. 1 hrs. 3. A boy paid for an orange, peach, and apple 12 cents. The peach cost 2-5 as much as the orange and 14 times as much as the apple. What was the cost of each, Ans. Orange 73, peach, 3, apple 2. 4. At what time between 5 and 6 o'clock do the hour and minute hands of a clock make equal angles with the six mark? Ans. 32 4-13 min. past 5 o'clock.

5. A. and B. invest equal sums in trade; A gains a sum equal to 12 per cent. of his stock, and B. looses $150.93, when A's. money is 1 4-5 times B's, What did each invest?

Ans. $402.48

6. If to a number you add its , its, its 5-12 and from the sum subtract 9, the remainder will be 29 less than 3 times the number. What is the number? Ans. 30 7. The current of a river flows 3 miles an hour, how long will it take a vessel propelled by a force that moves it 11 miles an hour, to sail 60 miles down this river and return to the starting place? Ans. 11 11-14hrs. 8. A. can cut 24 cords of wood in 12 days and B. can cut 13 cords in 5-6 of a day How long will it take both together to cut 1 cord and 96 cubic feet? Ans. a day

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A's. money is to B's as

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- is to 7-9, but after A. has spent $95.33 and B. $62.30. A's. money just equals B's. What had each? Ans. A. $187.17. A$154.14. 10. A boy can do a piece of work in 3-14 of a day and a man can do it in 3-23 of a day. In what time can both working together do it? Ans. 3-37 of a day

GRAMMAR.

1. Change the number of the following nouns that admit of it, and explain such as require an explanation. Axis, Flagstaff, Father-in-Law, Vinegar, Vertebra, Beau, Foci, Phenomena, Victuals, Clothes, Radii, Chimney, Brother, Turcoman, Index, Genius, Talisman, Commander-in-Chief, Stimulus, Thanks.

2. Comparison of Adjectives, formation of their degrees, &c.

3. Name all the personal pronouns in the objective, also the simple relatives objective.

4. Compare humble, polite, external, robust, little, tenth, ill, ample, brazen, false. 5. Principal parts of chide, bear (to carry,) dream, dwell, hang (to suspend,) heave, grow, ring, strow thrive.

6. Write ten lines in reference to participles.

7. Write ten sentences, the first to contain that second person, plural number; the second who first person, plural; the third which plural number, objective case; the fourth what that which; the fifth whom common gender, singular number; the sixth to contain five different parts of speech; seventh to contain the verb instruct indicative mood, present perfect tense, second person, singular number, passive voice; eighth a noun, nominative case absolute; ninth a noun, predicate nominative absolute; tenth case independent by pleonasm.

8. Name the auxiliary verbs, past tense. What we are ignorant of is immense. Parse "what."

9. Having doubled Cape Horn, we proceeded on our way. The war being at an end, the troops were disbanded. It is not intended that any individual should possess all advantages. Parse the words in Italics.

10. To hear patiently, and to answer presisely, are the great perfections of conversation. Analyze, and parse the words in italics.

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1. Name the New England States in the order of their size beginning with the largest. Name the states that border upon the great lakes.

2. Name the six largest cities in the world in the order of population. Name the five largest rivers on the globe.

3- What waters must be sailed upon to go from Frankfort Ky, to Detroit Mich. 4. Give the latitude and longitude of Washington, San Francisco, St. Petersburg Rio Janeiro, Canton,

5. Bound the state of New York. Name the States that passed the ordinance of secession.

6. Name the seas of Europe. Name the mountainless states of the Union.

7. Name the rivers of the Union that separate states wholly or in part, designating the states separated.

8. Name the exports of Southern Europe. Name the territories of the United States. 9. Bound the Mediterranean sea. What countries produce tea? what cotton ? what coffee?

10. Name the exports of the states in Northern Africa. Exports of the East Indies. Of Brazil.

EDUCATIONAL INTELLIGENCE.

SUPERINTENDENT'S QUARTERLY REPORT.

PROVIDENCE, Nov. 23, 1866.

To the School Committee of the City of Providence : GENTLEMEN:- -There is so little change in the character and condition of our schools from one term to another, that there must of necessity be great sameness in the language of the reports describing them.

In most of our schools, the examinations have been highly satisfactory. Some branches have been better taught than ever before. There is, however, a marked contrast between the best and poorest schools of the same grade; while some have

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