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however, barrels are of various sizes; thus the standard gasoline barrel contains 56 gallons. A liquid quart contains 57 cubic inches; a liquid gallon 231 cubic inches.

Dry Measures

(Used in measuring grain, vegetables, fruits, etc.)

2 pints (pt.) = 1 quart (qt.)

= 1 peck (pk.)

= 1 bushel (bu.)

8 quarts

4 pecks

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At United States Custom Offices, and at iron and coal mines, the following weights are used:

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If the number of a year is divisible by 4 but not by 100, the year is a leap year; also when the number of the year is divisible by 400 the year is a leap year. In leap years, February has 29 days.

The Solar Year has nearly 365 days.

Angle and Arc Measures

60 seconds ('') = 1 minute (')

60 minutes = 1 degree (°)

A quadrant contains 90 arc degrees: a circle contains 360 arc degrees. A right angle contains 90 angular degrees.

The length of a degree (3) of the earth's equator is about 691 miles.

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Carat.

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60 lb.

1 bushel

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56 lb.

= 1 bushel

32 lb.

1 bushel

48 lb. = 1 bushel

70 lb. =

1 bushel

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56 lb.

1 bushel

60 lb.

1 bushel

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1 cu. ft.

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(1) A term used to express the purity of gold. Pure gold = 24 carats fine. If 2, 4, etc., parts of alloy are present, the gold is 22, 20, etc., carats fine. Thus, 14 carat gold, used for good chains, contains 14 parts of gold to 10 parts of alloy.

=

(2) Also used as a unit for measuring precious stones.
1 carat 4 grains about 3 Troy grains.
Since 1905, 1 carat 200 milligrams, among inter-
national jewelers.

Addend, 1.

INDEX

(The numbers refer to pages.)

Altitude of, parallelogram, 165;
rectangle, 137; trapezoid, 168;

triangle, 156.

Amount in interest, 100.

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Angle, 122; acute, 124; obtuse, Denominator, 15.

125; right, 124.

Angles, measuring, 129.

Diagonal of rectangle, 137.

Diameter of circle, 176.

Area of, circle, 183; parallelo- | Digit, 1.

gram, 166; rectangle, 147; Discount, 71.
trapezoid, 169; triangle, 156.

Average, finding, 40.

Exponent, 185.

Base in percentage, 49; finding, Formula, in percentage, for, base,
93.

Base of, parallelogram, 165; rec-
tangle, 137; triangle, 156.
Bases of trapezoid, 168.
Bisecting, angle, 128; segment
of line, 116.

Chord of circle, 176.

Circle, 112, 176; chord of, 176;
diameter of, 176; radius of, 176.
Circumference of circle, 178.
Commission, 74.

Common denominator, 26.
Common fraction, changing to
decimal form, 43.
Concentric circles, 177.
Constructing, bisector of angle,
188; perpendicular-bisector of
segment, 187; perpendicular
to a line, at a point of the line,
190; from a point not on the
line, 189.
Cube, 196.

94; rate, 80; percentage, 61.
Formula, for area of, circle, 185;
parallelogram, 166; rectangle,
147; trapezoid, 170; triangle,
157; for circumference of circle,
180.

Fraction, improper, 15; proper,
15; terms of, 15.

Fractions, adding, 27; dividing,
23; multiplying, 19; reading,
18; subtracting, 27.

Gross, proceeds, 75; profit, 69.

Hexagon, 192.

Horizontal line, 7, 113.
Hypotenuse, 154.

Improper fraction, 15.
Increase, 66.

Interest, 100; finding, 100.
Interest-bearing note, 109.
Invoice, 11.

Line, horizontal, 7; vertical, 7. Radius of circle, 176.

Isosceles, trapezoid, 168;
angle, 162.

tri- Promissory note, 108.
Proper fraction, 15.
Protractor, 130.

Length of circle, 178.

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Per cents, fractional, 59; more Triangle, 112, 151; area of,

than 100 %, 56.

Perpendicular-bisector, 187.
Perpendicular lines, 125.
Proceeds, gross, 75; net, 75.
Profit, gross, 69; net, 69.
Profit and loss, 69.

157; constructing, 161.

Vertex of angle, 123.

Vertical line, 7, 113.

Volume of rectangular parallelo-
piped, 177.

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