Proper, Improper, &c.,

To change an Improper Fraction to a Whole or Mixed Number,

To change a Mixed Number to an Improper Fraction,

To reduce a Fraction to its lowest Terms,

101

103

To multiply a Fraction by a Whole Number,

To multiply a Whole Number by a Fraction,

To multiply one Fraction by another,

To find the Least Common Multiple of two or more Numbers,

Paga

108

110

112

114

To find the Greatest Common D.visor of two or more Numbers, (reference,) 115

To reduce Fractions of Different Denominators to a Common Denominator, 117

Addition of Fractions,

Subtraction of Fractions,

Division of Fractions-To divide a Fraction by a Whole Number,

To divide a Whole Number by a Fraction,

To divide one Fraction by another,

To reduce Whole Numbers to the Fraction of a greater Denomination,

To reduce a Fraction to Whole Numbers of less Denominations,

To reduce Fractions of a higher Denomination to lower,

To reduce Fractions of a lower Denomination into a higher,

DECIMALS. Their Table of Notation,

Division of Decimals,

To change Vulgar or Common Fractions to Decimals,

Circulating Decimals, (reference,)

To reduce Compound Numbers to Decimals of the highest Denomination, 142

To reduce Decimals of higher Denominations to Whole Numbers of lower

Denominations,

Reduction of Currencies,

Questions on the foregoing,

Concise Rule for calculating Interest in New York State,

Commission, Insurance, Stock, Loss and Gain,

Time, Rate per cent., and Amount, given, to find the Principal,

Time, Rate per cent., and Interest, being given, to find the Principal,

144

145

152

155

161

162-3

164

166

The Principal, Interest, and Time, being given, to find the Rate per cent., 166

The Principal, Rate per cent., and Interest, being given, to find the Time, 168

Compound Interest-Compound Interest by Table,.

Ratio, or the Relation of Numbers,

Proportion arising from Ratio, or from Multiplication and Division,

168

172

173

174

177

178

181

185

Compound Proportion, or Double Rule of Three, by Ratio and Analysis, 187

To compute the Interest on Notes with Endorsements-three modes,

Practice in Compound Numbers,

Fellowship-by Analysis-by Ratio,

Compound Fellowship-by Analysis-by Ratio,

Mensuration Square Measure,

Solid, or Cubic Measure,

Duodecimals-Multiplication of Duodecimals,

Questions on the foregoing,

To calculate Difference in Time,

Method of assessing taxes,ez. 12,13, 204

To find the Area of a Triangles

The Diameter of a Circle being given, to find the Circumference,

The Circumference of a Circle being given, to find the Diameter,

To find the Area of a Circle,

To find the Area of a Globe,

To find the Solid Contents of a Globe,

To find the Solid Contents of a Cylinder,
To find the Solid Contents of a Pyramid,
To find the Solid Contents of a Cone,
Arithmetical Questions,

255

257

257

257

257

257

258

250

258

258

259

260

262

263

265

ARITHMETIC.

MENTAL EXERCISES.

ADDITION.

TI. 1. How many little fingers have you on your righ hand? How many on your left? How many on both?" 2. How many eyes have you?

3. If you have two apples in one hand, and one in the other, how many have you in both? How many are two and one, then, put together?

4. Flow many do

5. If you have two nuts in one hand, and two in the other, your ears and eyes make, counted together? how many have you in both? How many do two and two make, put together?

6. If you have three pins in one hand, and James puts another in, how many will you have in your hand? How many are three and one then?

7. If you have three pins in one hand, and James puts two more in, how many will you have in your hand? How many are three and two then?

8. If you have four apples in one pocket, and two in the other, how many will you have in both? How many are four and

two then?

9. Thomas has four cents, and William has three; how many have they both together? How many are four and three then? 10. You have five pins in one hand, and three in the other; how many have you in both? How many are five and three

then?

11. You have four nuts in one hand, and four in the other; how many have you in both? How many are four and four then?

The questions in ff I and II II are intended for very young children. Older pupils may omit these. But the two remaining sectious, and the four tables. will claim an attentive perusal.

2