439. Change 7 of .33 of .111 to a common fraction.

440. A man pays me the interest on a note for $5000 at the expiration of 10 years. How much do I lose by not receiving the interest annually, reckoning compound interest at 6% on each year's interest for the time it was deferred? 441. What number is that to which if .55 of be added, the sum will be .4?

442. Divide the V2 by the 1/4 to 5 places.

443. What is the inverse ratio of a franc to a pound sterling?

444. What is the duty on a kiloliter of wine, at 20% on the invoice price of 17 francs per gallon?

445. What is the total cost of goods purchased with the net proceeds of a sale, on which the commission merchant receives 5%, his commission for buying being 5%, the commissions being $500?

446. If the surface of a lake is 100 sq. mi., how many gallons of water will fall into it during a storm in which in. of rain has fallen?

447. $42.57 is 61% less than what sum ?

448. What is the compound interest of $1870 for 19 years at 3% ?

449. The present value of an annuity to be continued 10 years, at 6%, is $7360.087; what is the annuity?

450. What is the cost of 5 dekasteres of wood, at $7.25 per cord?

451. At what rate per cent. will the interest on $17.25 be equal to the principal in 41 years 8 months?

452. A carriage was sold for $80; if it had been sold for $100, the gain would have been of the loss at the former price; what was the original cost of the carriage?

453. I have 60 gallons of wine worth $3 per gallon; how many gallons of water must be added to reduce the price to $1.625 per gallon?

454. If 10 horses or 14 cows eat 54 tons of hay in 93 days, how long will 7 tons last 9 horses and 5 cows?

455. How many eagles, each weighing 258 grains, are equal in value to 500 English sovereigns, each weighing 123.274 grains, if the U. S. coins are pure gold, and the English?

456. A merchant receives 70 barrels of sugar which cost him $40 each; he sells the sugar at 12 cents per lb., and thus gains 16%; what was the entire weight of the sugar?

457. Bought silk at $5 per yard, and lose 5% on the measure; how much must it be sold at per yard that I may gain 20% and allow 5% for bad debts?

458. I sold some cloth at a loss of 3%, and an equal amount of cloth at a profit of 5%; the difference in the amount of the sales is $32; what is the total amount of the sales, if the first cloth cost as much as the second?

459. Bought apples at the rate of 10 for 14 cents, and sold them at the rate of 28 for 40 cents, thus gaining $3.25. How many did I sell?

460. The ratio of a cubic yard to a cubic meter is .7645; what is the ratio of a cubic meter to a perch of stone?

461. The ratio of 10 bushels to a hektoliter is 3.524; what is the ratio of a liter to a peck?

462. The ratio of a short ton to a tonneau is .9072; what is the ratio of 25 lb. to a kilogram?

463. If 60 gallons of wine contain 2 gallons of water, how many gallons of water must be added, so that 5 gallons of the mixture may contain 1 quart of water?

464. A circular piece of land 60 yards in diameter is to be divided into three equal parts by concentric circles. Required the radii of these circles in meters.

465. A clock which loses 10 seconds an hour is set to the correct time at 94 A. M. What will be the correct time when the hands are next together?

QUESTIONS

ON

ARITHMETIC AND MENSURATION.

PART II.

What is per cent.? Define base; rate; percentage. What sign is generally used instead of the words per cent.?

Define profit and loss; commission; brokerage. What is a broker? Define consignor; consignee; consignment.

What is a corporation? Define stock; shares. What is the meaning of face, nominal or par value? What is the meaning of market value? Define gross earnings; net earnings; dividend; assessment.

Define bonds. Name and define the different kinds of United States bonds. How are bonds named? Give an example. What is a coupon? How is a coupon used?

What are taxes? What is a poll or capitation tax? Define property tax. What is real estate? What is personal property?

What are duties or customs? Where are they collected? What is a port of entry? What is a custom-house? Define specific duty; ad valorem duty. What is an invoice? Define tare; leakage; breakage. What is gross weight? What is net weight?

Define insurance, and name the different kinds. What is a policy of insurance? Define premium.

What is interest? Define simple interest. What is compound interest? What is legal interest? Define usury; principal; rate; amount. What is the legal rate of interest in most of the States, and on debts due to the United States? What are partial payments?

What is a promissory note? What is the date of a note? What is the time of a note? Define maker or drawer; payee; indorser; indorsement. What is meant by the face of a note? Define negotiable note, and state how a note becomes negotiable. Is a bill or note valid

if not confined to a set form of words? What words are required by law in Pennsylvania? What words should be placed in a note for the protection of the payee? When do promissory notes begin to bear interest? Define present worth; true discount; commercial discount. What is bank discount? How does it differ from true discount ? What is a bank? What is meant by the proceeds of a note? What are days of grace? Define term of discount. When is a note at maturity? Define protest. When must a protest be made? What is its effect? Do the banks in the different States compute discount on a note for the same number of days?

Define ratio; arithmetical ratio; geometrical ratio. What are the terms of a ratio? Show how they may be written. Define antecedent; consequent; direct ratio; inverse ratio. What is a simple ratio? What is a compound ratio? Define proportion; simple proportion; compound proportion.

Define partnership; simple partnership; compound partnership. Define capital or stock. What is a firm?

Define equation of payments; equated time; term of credit. What is meant by averaging an account? Define cash balance.

Define analysis; involution; evolution; power; root; exponent. Of how many figures may a period consist, in extracting the square root? In extracting the cube root? How is a number prepared for the extraction of its square root? For the extraction of its cube root?

Define mensuration; straight line; curved line. Define perpendicular line; angle; acute angle; right angle; oblique angle. Define surface; plane; curved surface; area; volume. Define solid; plane figure; polygon; triangle. Name and define the different kinds of triangles. Define base, altitude, hypotenuse, perpendicular, as applied to triangles.

Define quadrilateral. Name and define the different kinds of quadrilaterals. Define diagonal; perimeter; altitude of a parallelogram.

Define circle; radius; diameter; circumference. When is a square said to be inscribed in a circle? What line of the inscribed square is the diameter of the circle?

Define prism; convex surface. What is a right prism? What is the whole surface of a prism or cylinder?

What are similar solids? Define pyramid; cone. Define altitude of a cone or pyramid; slant height; frustum. Define sphere; axis; radius and diameter of sphere.

What is gauging? What is a board foot? How is round timber usually estimated? How may hewn timber be estimated?

What are duodecimals? For what purpose are they used?

What is alligation? What is an arithmetical progression? What are the terms in an arithmetical progression ? Define geometrical progression; extremes; means. Define ratio; increasing series; decreasing series; infinite series.

Define annuity; certain annuity; perpetuity. Define contingent annuity; annuity in arrears. Define annuity in reversion; amount; present worth.

What is a circulating decimal ? Give an example. Are circulating decimals properly considered as decimals? Define repetend; pure circulating decimal. Define mixed circulating decimal. Give an example.

Define exchange; bill of exchange; foreign exchange. What is meant by inland or domestic exchange? What is a sight bill? A time bill? A draft? What is an acceptance, and how is it indicated?

What is the metric system? From what did it derive its name? What was the length of the meter intended to be? Is the length of the meter greater or less than originally intended? How are the higher denominations of any measure obtained? How are the lower denominations of any measure obtained?

What is the difference between the mode of computing true discount and that of computing banking discount? How do you simplify a complex fraction? What effect have ciphers on the value of decimals? Why? What is a surd root? What is the meaning of a fractional exponent? How may a quantity in Avoirdupois weight be changed to an equivalent quantity in Apothecaries' weight or Troy weight?

Upon what does the value of a fraction depend? When a note is discounted at a bank, does the bank receive interest at a greater or at a less rate if the note is to run a month, than if it is to run a year? Why? How is the value of a proper fraction affected by dividing it by a proper fraction? If the same number be added to both terms

of a fraction, how is its value affected? Give the reason.