Cambridge School Examination, Responsions, Previous
Examination, Army Preliminary Examination.

The APPENDIX consists of two hundred graduated ques-

tions in Logarithms and Mensuration, arranged in twenty

papers of ten questions, preceded by a list of numerical

constants and formulae in Mensuration. We hope that

this last section of the book will be found especially useful,

not only for students preparing for the examinations in

which a knowledge of Mensuration is required, but also as

furnishing an instructive sequel to the higher parts of

Arithmetic.

H. S. HALL,

S. R. KNIGHT.

June, 1888.

PREFACE TO THE THIRD EDITION.

In the second edition the Appendix was enlarged by in-
cluding a series of one hundred Examples to be worked by the
aid of Logarithmic Tables; in the present edition fifty more
examples have been added to this section. Each Exercise has
been carefully graduated, beginning with a few easy, straight-
forward examples, and leading up to others which require some
thought and ingenuity besides the mere accurate manipulation
of the Tables. It is hoped that by working through this section,
a student will be enabled not only to master the preliminary
difficulties of logarithmic calculation, but also to acquire some
facility in dealing with a class of questions of growing importance
in many Examinations.

Jan., 1892.

PART

EXERCISES.

PAGE

I.

INCLUDING DECIMALS, PRACTICE, SIMPLE PROPORTION,

AND SIMPLE INTEREST

1

II.

INCLUDING COMPOUND PROPORTION,

PERCENTAGES,

AVERAGES, AND PROPORTIONAL PARTS

III.

IV. INCLUDING DISCOUNT AND COMPOUND INTEREST

INCLUDING PROFIT AND LOSS AND STOCKS

VI. INCLUDING CUBE ROOT AND DUODECIMALS

V.

INCLUDING SQUARE ROOT, AREAS, AND VOLUMES

ARITHMETICAL EXERCISES.

PART I.

Including Decimals, Practice, Simple Proportion, and
Simple Interest.

EXERCISE I.

1. SUBTRACT forty thousand and three from ten millions and two.

2. Divide 34568135 by 357, and £289. Os. 84d. by 17.

3. Twelve tons of tobacco were sent out to be divided amongst twenty-one thousand soldiers; how many pounds ought each man to receive?

4. Reduce 3 miles 5 fur. 30 poles 3 yds. to feet.

7. How many articles each worth £2. 10s. 3 d. can be bought for £40. 58.?

EXERCISE II.

1. A person buys 63 yards of silk at 18s. 6d. a yard, and 10 yards of cloth at 5s. 4d. a yard; how much does the bill amount to?

2. Find the Greatest Common Measure of 42237 and 75582.

4. Find the weight of a million of pence, each weighing half an ounce.

6. Reduce £1. 11s. 13d. to the fraction of £2. 188. 91d.

7. Find the difference between the greatest and least of the 5 11 4

fractions

7

and : also what is the difference between 8' 16' 7

the other two?

10:

8. How long will a person take to walk 16 miles, if he takes 110 steps of 2 feet every minute?

EXERCISE III.

1. How many pounds of tea at 38. 74d. a pound can be bought for £7. Os. 6 d.?

and divide 987 miles 36 poles 5 yds. 7 in. by 55.

3. Find the Least Common Multiple of

(1) 9669 and 16115.

4. Divide £8. 11s. 11gd. by 3:

5. Find the value of

(2) 75, 100, 120, 150.

5

12