NUMERATION.
Units.............................................................. 1
Tens ....................................................................... 12
Hundreds ........................ 123
Thousands
1,234
Tens of Thousands 19,345
C. of Thousands...... 1 2 3,456
Millions ............ 1; 234,567
X. of Millions... 12; 3 45,678
C. of Millions 123; 456,789

CURRENT MONEY.

4 Farthings make... 1 Penny

12 Pence..................

1 Shilling

20 Shillings, 1 Pound, or Sovereign

MULTIPLICATION.

1

2

3 4

5 6 7 81

2

4

6

3

6

9

12

45

54

8 | 10 | 12 | 14|16| 15 | 18 | 21 | 24 4 8 12 16 | 20 | 24 | 28 | 32 5 10 15 20 25 30 | 35 | 40 | 6| 12 | 18 | 24 | 30 | 36 | 42 | 48 | 7|14|21| 28 | 35 | 42 | 49 | 56 816 24 32 | 40 | 48 | 56 | 64 9|18|27|36| 45 | 54 | 63 | 72 10 20 30 | 40 | 50 | 60 | 70 | 80 99 11 | 22 | 33 | 44 | 53 | 66 | 77 |88 |12|24|36| 48 | 60 | 72 | 84 | 96 | 108

63

72

81

90

...

OF A SHILLING. d.

S.

6 are 1 half 1 third

4

3

1 fourth

s. d. £.
10 0 are 1 half
68... 1 third
1 fourth
50
40...
1 fifth
34... I sixth
OF A HUNDRED.
26... 1 eighth
Cwt.
gr.lb.
20... 1 tenth
2 0 are 1 half
18... 1 twelfth
14... 1 fifteenth 1 0 is 1 fourth
13... I sixteenth 0 16 are 1 seventh
1 eighth
10 is 1 twentieth 0 14 ...

PENCE.

...

d. s. d.
20 are 1 8
24... 2 0
30... 2 6
36... 3 0
40... 3 4
60 ... 3 0
48 4 0 70 3 10
50 4 2 80 4 0
60 5 0 90 4 10
70
100
... 5 10
5 0
72 6 0 110 5 10
80... 6 8
84 7 0
90 ... 7 6
96 8 0
100 8 4
108 9 0
120...10 0

...

120... 6 0
130 6 10
140
... 7 0
1.50 7 10
160 8 0
170 8 10
180 90

TROY.

24 gr. make 1 dwt.
20 dwt.
12 oz.

AVOIRDUPOIS.

1 is 1 eighth

1 ......... 1 twelfth 16 dr.make 1 oz.

16 OZ....... 1 lb.

14 lb. 28 lb.

...

9

10

18| 20

27

30

36

40

50

60

Tables of Weights and Measures.

PRACTIC

OF A TON.

Cwt. T. OF A POUND, 10 are 1 half OR SOVEREIGN. 5 1 fourth 4 ... 1 fifth 23... 1 eighth 2... 1 tenth 1 is 1 twentieth

11

22

33

44

55

66

SHILLINGS.

3 feet
S. £. s.
6 feet
20 are 10
5 yds.
30... 1 10 40 poles
40... 20
50 2 10
...

8 fur.
3 miles
69 miles

70

80

90

100

110 121 132

120 | 132 | 1441

...

77

72
by revers-
84 ing it: as
the 2's in 4
| 96
are 2; the
991082's in 6 are
110 1203, &c.

88

...

...

...

APOTHECARIES'.

20 gr. make 1 scruple
3 scr.......... 1 dram
8 dre
12 oz.

...

ALE AND BEER.
2 pints make 1 quart
4 quarts 1 gallon
9 gallons
1 firkin
2 tirkins 1 kilder.
2 kiderkins 1 barrel
13 barrel 1hhd.
1 ounce 2 barrels
1 punch.
1 pound 3 barrels ... 1 butt.

...

...

...

1 ounce
1 pound
WOOL.
7 lb. make 1 clove
2 cloves......... 1 stone
2 stones......... 1 tod
6 tods......... 1 wey
2 weys. 1 sack
12 sacks.... 1 last

WINE.

2 pints make 1 quart
4 quarts
1 gallon
10 gallons 1 anker
1 stone 42 gallons
1 tierce
Uhhd.
1 quarter 63 gallons
2 hhds.
1 pipe
4 qr....... 1 cwt.
1 tun
2 pipes
20 cwt...... 1 ton

......

3 barley-corns 1 inch 12 inches 1 foot 1 yard

1 fathom

1 pole

......

1 furlong ...... 1 mile ...... 1 league ...... 1 degree

......

......

CUSTOMARY WEIGHT OF GOODS. lb. 56 A firkin of butter is 64 A firkin of soap A barrel of pot ashes 200 A barrel of anchovies 30 A barrel of soap ...... 256 A barrel of butter... 224 A fother of lead, 19

......

cwt, 2 qrs. or...... 2184 A barrel of candles....120) A stone of iron or shot ......... A gallon of train oil A fagot of steel A stone of glass A seam of glass 24 stone, or ............ 120 A roll of parchment, 5 dozen skins A barrel of figs from nearly 96 to... 360

......

THE

TUTOR'S ASSISTANT;

BEING A COMPENDIUM OF

PRACTICAL ARITHMETIC,

FOR THE USE OF

SCHOOLS, OR PRIVATE STUDENTS:

CONTAINING,

I. Arithmetic in Whole Numbers; the Rules || III. Decimal Fractions; elucidated with

the utmost perspicuity; with Involu.
tion, Evolution, Position, Progression,
and the calculation of Interest and An-
nuities, on an extended scale.

of which are expressed in a clear, con-
cise, and intelligible manner; and the
operations illustrated by examples work-
ed at length, and by numerous explan-
atory notes and observations; with an
ample variety of Examples for the exer-
cise of Learners, calculated to initiate
them in the Knowledge of Real Business.
Also the New Commercial Tables, adap-
ted to the present Legislative regulations
of Weights and Measures, and the modern
practice of Trade.

II. Vulgar Fractions; explained in an
easy and familiar manner; in the prac-
tice of which the most elegant and ab-|
breviated modes of operation are pecu-
liarly inculcated.

ex-

IV. Duodecimals; or the Multiplication of
Feet and Inches; with numerous
amples for practice, adapted to the va-
rious business of Artificers.

V. Mènsuration of Superficies; preceded
by plain and concise Geometrical Defini-
tions.

VI. A Collection of Questions, promiscu-
ously arranged; intended as recapitula-
tory exercises in the principal Rules of
Arithmetic.

VII. A Compendious System of Book-keep-
ing.

BY FRANCIS WALKINGAME,
Writing-master and Accountant.

THE TWELFTH EDITION;

REVISED, CORRECTED, AND ENLARGED

by the addition of

SUPERFICIAL MENSURATION,

and a Compendium of

BOOK-KEEPING BY SINGLE ENTRY;

BY WILLIAM BIRKIN,

Master of an Academy in Derby.

DERBY:

Printed and published by

HENRY MOZLEY AND SONS;