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Arithmetic.—Sixty-one tried the following paper:

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1. Write, Eight million forty thousand, and four hundred thousand sixteen hundred thousandths, and divide it by sixteen tenths. Write the answer in words.

2. I bought a book for $2.25. I saw by the price mark, that the retail price was $3.00. What per cent. did the merchant throw off from the retail price?

3. A merchant received $42 for selling goods at a commission of 21 per cent. What was the amount of goods sold?

4. If the earth removed in digging a ditch 8 feet wide and 4 feet deep will make a mound 100 feet long, 32 feet wide, and 16 feet high, how long must the ditch be?

5. What are the proceeds of a note for $1,150, dated Nov. 12, at two months, discounted Dec. 13 at 6 per cent. ?

6. Jan. 1, 1881, Peter Peters gave Thomas Tompkins his note on demand at 6 per cent. July 1, 1884, Peters paid $484, the amount due, and took up the note. What was the face?

7. Bought a square lot containing 4,225 square rods. What will it cost to fence it at 163 cents a foot ?

8. Joseph Sharp owes David Downes $600, due April 10. Downes owes Sharp $400, due Sept. 10. How much must Downes receive if they agree to balance their accounts June 1st ?

9. How many square feet upon the surface of a cubic block that contains 46.650 cubic inches?

10. A carpenter alone can build a shop in 15 days, but with the help of his son, he can build it in ten days. In how many days can the son build it alone?

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From this it appears that questions 1, 5, 8, and 9 presented most difficulties.

Twenty-three were examined upon the following paper:

1. (a) The product of three factors is 50 ; one of them is .005 and another is 500 ; find the third.

(b) Change .0075 of an acre to square feet. 2. N. C. Barker bought of J. H. Fish 1345 bricks at $6.50 per M; 75 broom handles at $1.12} per C; 3575 lbs. of coal at $6. per T.; 3 doz. shovels at $8.50 per dozen ; 54 cords of wood at $2.75 per cord. Make out and receipt bill.

3. (a) If 1870 shingle nails weigh 84 lb., how many such nails in 2 ounces? (b) How many square inches on a cube whose edge is 10 inches?

4. A, B, and C trade in company. A puts in ţ of the capital, B2, and C the remainder. How shall a gain of $2150 be divided among them?

5. (a) Multiply 90098000 by 250000.
(6) Divide six million ten by one hundred forty thousand.
(C) What can be taught about the number 5 ?
(d) Explain and distinguish 5x = 53=? of 5=?

6. A owes B $6040 July 12, 1885. A settles with B by giving his note payable in 90 days with interest at 41 per cent. B gets the note discounted at bank at 6 per cent. Aug. 4, 1885 ; how much will B receive ?

7. (a) By what per cent. is the labor of sawing firewood increased if each stick is cut into 4 parts instead of 3?

(b) A boy buys apples 5 for six cents and sells them at 25 per cent. profit. How many can be bought of him for 30 cents ?

8. A coal dealer bought 500 tons of coal at $7.50 per long ton, paid $1. per ton for freight and sold it for $11.00 per short ton; what per cent. did he make?

9. James is two-thirds as old as William, and William is three times as old as John. Their combined ages are 24 years.

What is the age of each?

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The figure represents a rectangular farm. The dimensions are, 1984 rods-one of the longer sides and 2,434 rods--the diagonal line; how many acres does the farm contain ?

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Questions 2, 5, 6, and 10 were most difficult. The first part of No. 7, was entirely wrong upon half the papers.

The following persons now hold State Certificates :

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Abbott, Lizzie E., Waterbury. Callahan, Kitty A., Hartford.
Adams, Bertha M., Plymouth. Cartwright, Emma L., New Britain.
Alford, Addie L., Willimantic. Chapman, Esther St. J., Westport.
Andrews, A. Gertrude, Hartford. Clark, Walter E., Manchester.
Andrews, Jennie, Bethel.

Coleman, Mary E., Wethersfield.
Arms, Millie, Bristol.

Cooke, Louise P., West Winsted.
Bailey, Hannah F., Wallingford. Covell, Jane C., Talcottville.
Baldwin, Eliza, New Canaan. Curtiss, Ella M., Hartford.
Bancroft, Lottie L., Windsorville. Day, Ella M., Hadlyme.
Barber, W. J., Thomaston.

Devon, Henrietta C., Highland
Barnum, Mary E., South Kent. Park.
Bell, Grace L., Newington Junction. Egan, Katharine, Waterbury.
Bidwell, Clara E., Canton Centre. Ellsworth, Kate L., East Windsor.
Bingham, Alice E., Thomaston. Fenn, M. Gertrude, New Britain.
Birge, Alice E., Torringford. Finley, Mary A., South Manchester.
Brown, Bertha C., So. Norwalk. Finley, Nellie E., Bolton.
Buckley, Flora E., Meriden. Fish, Emma W., Millerton, N. Y.
Burke, Rosella, Rockville.

Fletcher, Alice, Warehouse Point.
Cadwell, George A., Southington. Flynn, Lizzie D., Broad Brook.

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Foster, Edith C., Hartford.

Perkins, Katherine, Winsted, Francis, Mary R., Elmwood. Phippeney, Emma L., Bristol. Gallup, Algernon S., Baltic. Randall, Elmer E., Hazardville. Gallup, Carrie A., Baltic.

Randall, Mary A., Bethel. Gladwin, Carrie L,, Hartford. Ray, Mabel C., Ludlow Mass. Goodenough, Mary A., Winchester. Raymond, Anna D., Westchester. Guinan, Theresa V., Hartford. Raymond, Maggie L., New Canaan. Hall, Jennie, Middletown.

Richmond, Annette B., Newington. Hanna, Lizzie J., New Britain. Ricker, Georgia A., Mystic Bridge. Hart, Anna S., New Britain. Robertson, Maria L., North ManHart, Ida J., Forestville.

chester. Hinchliffe, Mary E., New Britain. Rockwell, Anna G., East Windsor Hollister, Florence J., South Glas Hill. tonbury.

Roemer, Ernestine W., Enfield. Hopkins, Fred. A., Killingly. Rossberg, Louise B., New Britain. Hoskins, Helen F., East Windsor Sage, Emeda, Cromwell. Hill.

Sarvent, Emily M., Andover. Howe, Ada E., Thompsonville. Sawyer, Lucy H., Enfield. Hubbell, Hattie L., Birmingham. Schwab, Emma N., Hartford. Hutchins, Annie L., Columbia. Sears, Lephe E., New Haven. Isham, Caspar, Essex.

Seymour, Carrie L., Hartford. Johnson, Celinda A., Buckland. Sheldon, Marian L., New Britain. Johnson, Hattie L., Willimantic. Smith, Mary B., Litchfield. Kalkhof, Lillie, New Britain. Smith, Mary Louise, Saugatuck. Keenan, Katie, Norwich.

Snow, Abbie J., Seymour. King, Anna S., Thompsonville. Snow, Emma E., New Haven. Klinger, Bertha H., Broad Brook. Standish, Minnie S., Wethersfield. Kyle, Annie D., Bethel.

Stillson, Iva M., South Norwalk. Lane, H. Edgar, Voluntown. Stocking, Ethel, Brooklyn. Lillis, Ella, Sandy Hook.

Stührmann, Minnie, Southington. Luddington, Hattie A., New Brit- Sturdevant, Angie A., Bridgewater. ain.

Thompson, Minnie A., Warehouse Mahler, Alice C., Waterbury.

Point. Mead, Sarah M., Greenwich. Todd, Edith W., New Haven. Meagher, Ida A., Brookfield. Wadhams, Julia E., Goshen. Miller, Mary E., Bloomfield. Waters, Minnie J., No. Stonington. Morris, Sarah L., Ellington. Watrous, Lyman J., Litchfield. Morse, Minnie G., Northfield. Watson, Walter S., Warehouse Pt. Mott, S. Minnie, Yonkers, N. Y. Waugh, Jennie M., Newington. Munger, Harriet, East River. Webster, Chas. I., Willimantic. Nettleton, Mary, W. Washington Wheeler, Sadie M., New Britain. Depot.

Williams, Jennie M., East Hartford. O'Keefe, Anastatia, Norwich. Williams, Margaret A., Rocky Hill. Page, Helen F., New Britain. Wingoad, Fannie E., Guilford. Peck, Julia F., Groton.

Wolff, Annie F., New Britain. Pember, Ella M., Meriden.

Woodruff, Lucy M., Elmwood.

Examinations for State Teachers' Certificate sand for entrance to Normal School will be held in the summer at the following places :

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Summary of Statistics for 1886-87.
Number of towns in the State,
Number of school districts in the State,
Number of public schools,

Decrease for the year,
Number of departments in public schools,

Increase for the year,
Average length of public schools,

Increase for the year,
Number of schools of two departments,

66 three
66 four

167 1,424 1,628

3 2,903

43
180.18 days
.44 days

148
43
44
18
108
361

7
26

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66

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66 five

6 six or more departments, Whole number of graded schools,

Increase for the year, Number of evening schools,

Below will be found a summary for years 1866–87, inclusive.

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