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:iifi!MJ:IIJii
iJU^t [\1S, <^h 1 I 6
Sarfaarb CoIIeffE lihrarg
FROM THE LIBBABV OF
CHARLES SANDERS PEIRCE
{Cla5.ofi8»)
OF MILFORD, PENNSYLVANIA
GIFT OF
Mrs. CHARLES S. PEIRCE
Jane 38, 1915
r-
3 2044 097 002 448
ECLECTIC EDUCATIONAL SERIES.
RAY'S
NEW PRIMARY
ARITHMETIC
FOR
YOUNG LEARNERS.
NEW-YORK •:• CINCINNATI .:• CHICAGO
AMERICAN BOOK COMPANY
./• rt. . <• 7 III, <7/.;| (t
RAY'S MATHEMATICAL SERIES.
J
REGULAR SERIES.
\'Ray*s New Primary Arithmetic,
"KRays New Intellectual Arithmetic,
^Rays New Practical Arithmetic,
■\Rays New Higher Arithmetic,
Rays New Test Examples,
Rays New Elementary Algebra.
Rays New Higher Algebra,
Rays Test Problems in Algebra,
Rays Plane and Solid Geometry,
Rays Geometry and Trigonometry,
Rays Analytic Geometry,
Rays Elements of Astronomy,
Ray'^'i Surveying and Navigation,
i^A/i Differential and Integral Calculus,
TWO-BOOK SERIES IN ARITHMETIC.
Ray^s New Elementary Arithmetic,
Ray^s New Practiced Arithmetic,
wiNMneoiuttuiuRy
QlfTOf
llRS.CHWJLfSS.PtmC€
Copyright
1877
BY Van Antwerp, Bragg & Co.
IMnteb at
fSbt ScUctic f>ce98
I f
PEEFAOE.
The remarkable and long continued popularity of Bay's
Arithmetics has induced the publishers to present them to
the public in a revised form, as Bay's New Arithmetics,
The objects of the revision have been :
(1.) To present the books in improved type, with
better arrangement, - and in a more pleasing outward
dress.
(2.) To introduce such new features as will adapt the
series more perfectly to the present methods of instruc-
tion.
The friends of the series can best judge what success
in attaining these objects has been made.
The publishers hereby express their gratitude to many
prominent educators who have contributed to this re-
vision, and only regret that their number prevents the
mention of names.
Cincinnati, April, 1877.
t:^^
SUGGESTIONS TO TEACHERS.
In beginning tho study of Arithmetic, the first step for pupils
to learn is to count readily. This is not mastered without much
practice in counting objects. Movable objects are better for exercises
in counting than pictures. Some objects of this kind should always
be kept in the school-room, — such as marbles, beans, kernels of corn,
or pebbles.
The second step is to combine numbers. To master the different
combinations to 20, the pupils should first be taught to write the
tables corresponding with those in the book, either upon their slates
or on the blackboard, during the recitation. This will prevent
counting upon the fingers, a habit diflScult to overcome when once
acquired.
As the abstract exercises in this book, up to 20, are exhaustive in
Addition and Subtraction, and as complete in Multiplication and
Division as possible in order to secure variety, it would be well to
prepare additional concrete examples from day to day to correspond
with the very full abstract exercises. An excellent practice is to
require each pupil to bring two or more concrete examples of his
own to each recitation.
Teach one thing at a time, and teach it thoroughly.
r4)
Q UUMBERS AND FIGL^RES .p
LESSON I.
Note. — ^This lesson is intended to suggest how to teach the child
to count objects and to express their number by figures. It com-
prises the first ten numbers. The pupil points to each ball and says,
one; oncy two; one^ twoj threes etc. Then the teacher directs him to
write the figure for owe, for two^ etc.
9
^^^
^^^^
^^^^^
^^^^^^
^^^^^^^^
^^^^^^^^^
one, .
1,
/
two, .
2,
t
three, .
3,
J.
four, ,
4,
^.
five, .
5,
^.
six.
6,
/
seven, .
7,
/
eight, .
8,
<f.
nine, .
9,
/•
. \Ba.,
.YC
RAY'S NEW PRIMARY ARITHMETIC.
LESSON II.
Note. — In this lesson the numbering of objects is extended to 40.
A single column or less may constitute one exercise, as may seem
best to the teacher.
Eleven . .
. 11
Twenty-one . 21
Thirty-one .
. 31
Twelve . .
. 12
Twenty^wo . 22
Thirty-two .
. 32
Thirteen
. 13
Twenty-three . 23
Thirty-three
. 33
Fourteen .
. 14
Twenty -four . 24
Thirty-four
. 34
Fifteen . .
. 15
Twenty-five . 25
Thirty -five .
. 35
Sixteen . .
. 16
Twenty-six . 26
Thirly-six .
. 36
Seventeen .
. 17
Twenty-seven. 27
Thirty-seven
. 37
Eighteen . .
. 18
Twenty-eight . 28
Thirty-eight
. 38
Nineteen . ,
. 19
Twenty-nine . 29
Thirty-nine
. 39
Twenty . . .
20
Thirty . , . 30
LESSON III.
Forty . .
. 40
NoTB. — In this lesson the numbering of objects is extended to 70.
Each exercise should include a review of the preceding ones.
Forty-one .
. 41
Fifty-one .
. 51
Sixty-one .
. 61
Forty-two .
. 42
Fifty-two .
. 52
Sixty-two .
. 62
Forty-three
. 43
Fifty-three .
. 53
Sixty-three
. 63
Forty-four .
. 44
Fifty-four .
. 54
Sixty-four .
. 64
Forty-five .
. 45
Fifty-five .
. 55
Sixty-five .
. 65
Forty-six .
. 46
Fifty-six .
. 56
Sixty-six
. 66
Forty-seven
. 47
Fifty-seven
. 57
Sixty -seven
. 67
Forty -eight
.48
Fifty-eight .
. 58
Sixty-eight .
. 68
J^orty-nine .
. 49
Fifty-nine .
. 59
Sixty-nine .
. 69
Fifty . .
. 50
Sixty . ,
, ^Q
^^TEiVIESTX
,10
NUMBERS AND FIGURES.
.
LESSON
IV.
Seventy-one .
71
Eighty-one .
. 81
Ninety-one
91
Seventy-two .
72
Eighty-two
. 82
Ninety-two
92
Seventy -three .
73
Eighty-three
. 83
Ninety-three .
93
Seventy-four .
74
Eighty-four
. 84
Ninety-four .
94
Seventy-five .
75
Eighty-five
. 85
Ninety-five
95
Seventy-8ix
76
Eighty -six .
. 86
Ninety-six . .
96
Seventy-seven
77
Righty-seven
. 87
Ninety-seven .
97
Seventy-eight .
78
Eighty-eight
. 88
Ninety-eight .
98
Seventy-nine .
79
Eighty-nine
. 89
Ninety-nine .
99
Eighty . . .
80
Ninety . .
LESSON
. 90
V.
One Hundred
100
Note. — Pupils should be taught to read figures readily from 1 to
100. The figures should be copied on the blackboard.
NUMBERS TO BE READ,
23
50
61
71
80
78
59
1
32
15
26
27
18
87
95
10
33
51
62
72
81
88
69
11
4
25
36
. 37
28
9
96
2
40
52
63
73
82
90
79
20
14
35
46
47
38
19
97
12
41
53
64
74
83
91
89
21
24
45
56
57
48
29
98
22
42
54
65
75
84
92
99
3
34
55
66
67
58
39
100
30
43
6
7
76
85
93
13 ,
44
60
70
77
68
49
31
5
16
17
, 8
\
. %^
^^^
\
8 RAY'S NEW PRIMARY ARITHMETIC.
LESSON VI.
NoTB. — The pupils must be thoroughly exercised in writing num-
bers. One or more pupils at a time may be sent to the blackboard,
or the work may be done at their seats with pencil and slate.
NUMBERS TO BE WRITTEN.
1. Naught; one, ten; two, twenty; three, thirty; four,
forty; five, fifty; bIx, sixty; seven, seventy; eight, eighty;
nine, ninety.
2. Eleven; twelve, twenty-one; thirteen, thirty-one;
fourteen, forty-one; fifteen, fifty-one; sixteen, sixty-one;
seventeen, seventy-one; eighteen, eighty-one; nineteen,
ninety-one.
3. Twenty-two; twenty-three, thirty-two; twenty-four,
forty -two; twenty-five, fifty -two; twenty-six, sixty-two;
twenty-seven, seventy-two; twenty-eight, eighty-two;
twenty-nine, ninety-two.
4. Thirty-three; thirty-four, forty-three; thirty -five,
fifty -three; thirty -six, sixty-three; thirty-seven, seven-
ty-three; thirty-eight, eighty -three; thirty-nine, ninety-
three.
5. Forty-four; forty-five, fifty-four; forty-six, sixty-four;
forty-seven, seventy-four; forty-eight, eighty-four; forty-
nine, ninety -four.
6. Fifty -five; fifty-six, sixty-five; fifty-seven, seventy-
five ; fifty-eight, eighty-five ; fifty-nine, ninety-five.
7. Sixty-six; sixty -seven, seventy-six; sixty-eight, eighty-
six; sixty-nine, ninety-six.
8. Seventy-seven; seventy-eight, eighty-seven; seventy-
nine, ninety-seven.
P. Mghty -eight ; eighty-nine, ninety-eight.
JO, Ninety-nin^. One bundrod.
NOTB, — These BxerciseB are intend
Frsme or with counters of some kim
com. beaiiB, or bita of pasteboard. 1
in distinct groups, to represent each
1. How many conntera have ■
2. How many are 1 and 1 ?
leavee how many? How man
arc two times 1?
3. How many arc 2 and 1 ?
and 1 ? How many are three t
4. One taken away from 3
tftken away from 3 leaves how
in 37
5. How many are 3 and 1 ?
How many are 1 and 1 and 1
four times 1 7 How many are I
6. One taken from 1 loaves
10 RAY'S NEW PRIMARY ARITHMETIC.
leaves how many? Three from 4 leaves how many?
How many ones in 4 ? How many twos in 4 ?
7. How many are 4 and 1? How many are 3 and 2?
How many are 1 and 1 and 1 and 1 and 1 ? How many
are five times 1 ?
8. One from 5 leaves how many? Two from 5 leaves
how many? Three from 5 leaves how many? Four
from 5 leaves how many? How many ones in 5?
LESSON vni.
1. How many are 5 and 1? How many are 4 and 2?
How many are 3 and 3? How many are six times 1?
How many are three times 2? How many are two
times 3?
2. One from 6 leaves how many ? Two from 6 ? Three
from 6? Four from 6? Five from 6? How many ones
in 6 ? How many twos in 6 ? How many threes in 6 ?
3. How many are 6 and 1 ? How many are 5 and 2 ?
How many are 4 and 3 ? How many are 3 and 4 ? How
many are seven times 1 ?
4. One from 7 leaves how many ? Two from 7 ? Three
from 7? Four from 7? Five from 7? Six from 7? How
many ones in 7 ?
5. How many are 7 and 1 ? How many are 6 and 2 ?
How many are 5 and 3 ? How many are 4 and 4 ? How
many are 3 and 5 ? How many are 2 and 6 ?
6. How many are eight times 1 ? How many are four
times 2 ? How many are two times 4 ?
7. One from 8 leaves how many? Two from 8? Three
from 8? Four from 8? Five from 8? Six from 8?
Seven from 8?
8. How many ones in 8? How many twos in 8? How
man^ fours in 8?
ORAL EXERCISES.
LB8SON rx.
1. How many are 8 and 1 1 How many are 7 and 2?
How many are 6 and 3 ? How many are 5 and 4 ? How
many are 4 and 5? How many are 3 and 6? How
many are 2 and 7 ?
2. How many are nine times 1 ? How many are three
times 3?
3. One from 9 leaves how many? Two from 9? Three
from 9? Four from 9? Five from 9? Six from 9?
Seven from 9 ? Eight from 9 ?
4. How many ones in 9? How many threes in 9?
5. How many are 9 and 1? How many are 8 and 2?
How many are 7 and 3? How many are 6 and 4? How
many are 5 and 5 ?
6. How many are 2 and 8? How many are 3 and 7?
How many are 4 and 6?
7. How many are ten tjmes 1? How many are five
times 2 ? How many are two times 6 ?
8. One from 10 leaves how many? Two from 10?
Three from JO? Four from 10? Five from 10? Six
from 10? Seven from 10? Eight from 10? Nine from
10?
9. How many ones in 10? How many twos in 10?
How many fives in 10?
LBSSOK Z.
In the picture how many birds are sitting on the
bush? How many in the flock that eeems to be light-
ing? There are two distant flocks fljnng: how many
birds in each flock?
1. How many birds are two birds and five birds?
How many birds are seven birds and four birds?
2. How many are 2 and 5? 7 and 4?
3. How many birds are two birds and four birds?
How many are five birds and seven birds?
4. How many are 2 and 4? 5 and 7?
5. There are three flowers on one branch and three on
aaotber: bow many flowers ob both \jta,Ti<^eBl
ADDIflOK.
LESSON XI
■
1 and 1 are
2
1
6 and 1 are
7
2 and 1 are
3
1 and 6 are
7
1 and 2 are
3
7 and 1 are
8
3 and 1 are
4
1 and 7 are
8
1 and 3 are
4
8 and 1 are
9
4 and 1 are
5
1 and 8 are
9
1 and 4 are
5
9 and 1 are
10
5 and 1 are
6
1 and 9 are
10
1 and 5 are
6
10 and 1 are
11
1 and 1(
) are :
11.
13
1. Francis had 2 cents, and his mother gave him 1 cent
more : how many had he then ?
Solution. — Francis had then 2 cents and 1 cent, which are 8
cents.
2. John had 1 raisin, and his sister gave him 3 raisins
more : how many had he then ?
3. Mary had 4 pears, and her mother gave her 1 pear
more : how many had she then ?
4. Jane had 1 cherry, and her brother gave her 5 cher-
ries more : how many did she then have ?
5. George has 6 cents, and John has 1 cent : how many
cents have both?
6. William had 1 plum, and his cousin gave him 7
plums more : how many had he then ?
7. There were 8 oranges on a dish, and 1 more orange
was placed on it: how many were then on the dish?
8. Henry had 1 peach, and his mother gave him 9
more : how many had he then ?
9. B.OW many are 10 centa au^ \ c-eviVl
14
RArs NEW PRIMARY ARITHMETIC.
LBSSO
N XTT.
2 and 1 are 3
2 and
6 are
8
1 and 2 are 3
6 and
2 are
8
2 and 2 are 4
2 and
7 are
9
2 and 3 are 5
7 and
2 are
9
3 and 2 are 5
2 and
8 are
10
2 and 4 are 6
8 and
2 are
10
4 and 2 are 6
2 and
9 are
11
2 and 5 are 7
9 and
2 are
11
5 and 2 are 7
2 and
10 are
12
10 and 2 are 12.
1. Mary had two birds, and a friend gave her 2 more:
how many birds had she then?
Solution. — Mary had then 2 birds and 2 birds, which are 4 birds.
2. Daniel has 3 tops, and Francis has 2: how many
tops have they both?
3. John had 2 chestnuts, and found 4 more : how many
did he then have?
4. Helen had 5 apples, and her brother gave her 2
more : how many had she then ?
5. Ellen had 2 chickens, and her cousin gave her 6
more : how many had she then ?
6. John had 2 cakes, and his mother gave him 7 more :
how many did he then have?
7. Frank had 8 marbles, and found 2 more: how many
did he then have?
8. Harry caught 2 fishes, and Edward caught 9 : how
many did both catch ?
9. How many are 10 centa and % c^ii\&*t
ADDITION.
LESSON XTTT
3 and 1
are
4
3 and
6 are 9
1 and 3
are
4
6 and
3 are 9
3 and 2
are
5
3 and
7 are 10
2 and 3
are
5
7 and
3 are 10
3 and 3
are
6
3 and
8 are 11
3 and 4
are
7
8 and
3 are 11
4 and 3
are
7
3 and
9 are 12
3 and 5
are
8
9 and
3 are 12
5 and 3
are
8
3 and 10 are 13
-
10 and i
\ are 13.
15
1. Julius had 3 cents, and he found 2 more : how many
cents had he then ?
Solution. — Julius had then 3 cents and 2 cents, which are 5 cents.
2. Francis has 3 dimes in his hand, and 3 in his pocket:
how many dimes has he?
3. Emma has 4 apples : if her mother give her 3 more,
how many apples will she have?
4. There are 3 pears on one limb, and 5 on another:
how many pears on both limbs ?
5» Mary has 6 pens, and Belle has 3 : how many pens
have both?
6. Henry has 3 books, and Oliver has 7: how many
books have both?
7. Charles caught 8 rabbits, and Samuel caught 3: how
many did both catch?
8. How many are 3 cents and 9 cents ?
9. My pencil cost 10 cents, and my pen 3 cents: how
much did both cost?
16
KAY'S NEW PRIMARY ARITHMETIIX
LBSSON XIV.
4 and 1
are 5
4 and
6 are 10
1 and 4
are 5
6 and
4 are 10
4 and 2
are 6
4 and
7 are 11
2 and 4
are 6
7 and
4 are 11
4 and 3
are 7
4 and
8 are 12
3 and 4
are 7
8 and
4 are 12
4 and 4
are 8
4 and
9 are 13
4 and 5
are 9
9 and
4 are 13
5 and 4
are 9
4 and 10 are 14
10 and A
V are 14.
1. James had 4 pens, and he found 2 more: how
many had he then ?
Solution. — James had then 4 pens and 2 pens, which are 6 pens.
2. Mary has 3 pins in one hand, and 4 in the other:
how many pins has she in both?
3. Francis has 4 chestnuts in his hand, and 4 in his
pocket : how many has he in all ?
4. There are 5 horses in 1 field, and 4 in another : how
many are there in both fields ?
5. Cora spent 4 cents for tape, and 6 cents for ribbon:
how many cents did she spend?
6. I had 7 apples, and bought 4 more : how many did
I then have ?
7. If a lemon cost 4 cents, and an orange 8 cents, how
much will both cost?
8. I sold a calf for 9 dollars, and a sheep for 4 dollars:
how much did I get for both?
9. How many are 4 cents and 10 Cttnta?
ADDITION.
T.TSRSON
XV.
5 and 1
are
6
5 and
6
are
11
1 and 5
are
6
6 and
5
are
11
5 and 2
are
7
5 and
7
are
12
2 and 5
are
7
7 and
5
are
12
5 and 3
are
8
5 and
8
are
13
3 and 5
are
8
8 and
5
are
13
5 and 4
are
9
5 and
9
are
14
4 and 5
are
9
9 and
5
are
14
5 and 5
are
10
5 and
10
are
15
1»
10 and 5 are 15.
1. A hen has 5 black chickens and 2 white ones: how
many chickens has she?
Solution. — She has 6 chickens and 2 chickens, which are 7 chickens.
2. How many are 3 square blocks and 5 square blocks?
3. I gave 5 cents for a whistle, and 4 cents for a top :
how much did I give for both?
4. Emma had 5 cakes, and her mother gave her 5
more : how many had she then ?
5. There are 6 chairs in one room, and 5 in another:
how many chairs in both rooms ?
6. There are 5 boys in one class, and 7 in another:
how many are there in both classes?
7. If a lemon cost 8 cents, and an orange 5 cents, how
much will both cost?
8. There are 5 letters in my name, and 9 in yours:
how many letters in both names?
9. If you put 10 balls by the side of 5 balls, how many
balls will there be?
PrL 2.
18
KAY'S NEW PRIMARY ARITHMETIC.
LESSON XVI.
6 and 1 are
7
5 and
6
are 11
1 and 6 are
7
6 and
6
are 12
6 and 2 are
8
6 and
7
are 13
2 and 6 are
8
7 and
6
are 13
6 and 3 are
9
6 and
8
are 14
3 and 6 are
9
8 and
6
are 14
6 and 4 are
10
6 and
9
are 15
4 and 6 are
10
9 and
6
are 15
6 and 5 are
11
10 and (
6 and
) are 16.
10
are 16
1. A farmer has 6 cows in one field, and 2 in another:
how many cows in both fields?
Solution. — The farmer has 6 cows and 2 cows, which are 8
cows.
2. James has 3 marbles in one pocket, and 6 in another
how many has he in both ?
3. Francis had 6 cents, and Mary, 4 cents: how many
cents had both?
4. There are 5 pigs in one pen, and 6 in another : how
many pigs in both pens?
5. If you have 6 plums in each hand, how many plums
will you have in both hands?
6. Lucy gave 7 cents to one poor man, and 6 cents to
another: how many cents did she give to both?
7. A man had 6 horses, and bought 8 more : how many
horses did he then have?
8. A lady traveled 9 miles by water, and 6 miles by
land : how far did she travel ?
9. How many are 10 days and 6 day^\
ADDI
liBSSOl
TION,
>
Sr XVIL
7 and 1
are
8
5 and
7 are 12
1 and 7
are
8
7 and
6 are 13
7 and 2
are
9
6 and
7 are 13
2 and 7
are
9
7 and
7 are 14
7 and 3
are
10
7 and
8 are 15
3 and 7
are
10
8 and
7 are 15
7 and 4
are
11
7 and
9 are 16
4 and 7
are
11
9 and
7 are 16
7 and 5
are
12
7 and 10 are 17
10 and 1
^ are
17.
19
1. If you place 7 marbles by the side of 2 marbles, how
many will there be altogether ?
Solution. — There will be 7 marbles and 2 marbles, which are 9
marbles.
2. There are 3 sheep in one field, and 7 in another:
how many sheep in both fields?
3. There are 7 boys on one bench, and 4 on another:
how many are there on both benches?
4. There are 5 chairs in one room, and 7 in another:
how many chairs in both rooms?
5. Thomas had 7 apples, and his mother gave him 6
more : how many had he then ?
6. I bought a melon for 7 cents, and a squash for 7
cents : how much did both cost ?
7. I paid 8 cents for a slate, and 7 cents for some
pencils: how many cents did I spend?
8. Fanny had 7 roses, and she plucked 9 more: how
many had she then?
9. How many are 10 doWax^ au^ *l ^c^'ax^*\
20
RAY'S NEW PRIMARY ARITHMETIC.
LESSON xvni.
8 and 1 are 9
5 and
8 are 13
1 and 8 are 9
8 and
6 are 14
8 and 2 are 10
6 and
8 are 14
2 and 8 are 10
8 and
7 are 15
8 and 3 are 11
7 and
8 are 15
3 and 8 are 11
8 and
8 are 16
8 and 4 are 12
8 and
9 are 17
4 and 8 are 12
9 and
8 are 17
8 and 5 are 13
8 and 10 are 18
10 and ^
] are 18.
1. James has 8 nuts in his pocket, and 2 in his hand*
how many nuts has he?
Solution. — James has 8 nuts and 2 nuts, which are 10 nuts.
2. Mary has 3 pins in one hand, and 8 in the other:
how many has she in both hands?
3. There are 8 geese in one pond, and 4 in another:
how many geese in both ponds?
4. Thomas had 5 marbles, and has found 8 more : how
many marbles has he now?
5. Harvey found 8 eggs, and Thomas 6 : how many
eggs did both find?
6. I gave 7 dollars for a vest, and 8 dollars for a coat:
how much did both cost?
7. I bought 8 yards of blue cloth, and 8 yards of black:
how many yards did I buy altogether?
8. Anna is 9 years old, and Alice is 8 years older than
Anna: how old is Alice?
P, Sow many are 8 centB and 10 cex^X^^l
ADDITION.
* n ~
T.PiasON XIX.
9 and 1 are
10
5 and
9
are 14
1 and 9 are
10
9 and
6
are 15
9 and 2 are
11
6 and
9
are 15
2 and 9 are
11
9 and
7
are 16
9 and 3 are
12
7 and
9
are 16
3 and 9 are
12
9 and
8
are 17
9 and 4 are
13
8 and
9
are 17
4 and 9 are
13
9 and
9
are 18
9 and 5 are
14
9 and
10
are 19
10 and £
1 are 19.
1. A cat caught 9 mice one day, and 2 the next: how
many did she catch in both days?
Solution. — She caught 9 mice and 2 mice, which are 11 mice.
2. Mary gave 3 cents for paper, and 9 cents for a book :
how much did both cost?
3. Joseph caught 9 fishes in one pool, and 4 in another :
how many did he catch?
4. If five horses are in one field, and 9 in another, how
many horses are in both fields?
5. If you have 9 oranges, and buy 6 more, how many
oranges will you then have?
6. Charles had 7 plums, and John gave him 9: how
many did he then have?
7. Sarah had 9 buttons, and her aunt gave her 8 more:
how many had she then?
8. George and Henry have 9 cents each: how many
cents have both?
9. How many are 10 pounds wx^ ^ ^ovaAs^^
22
RAY'S NEW PRIMARY ARITHMETIC.
LESSON
10 and 1 are 11
5 and 10 are 15
1 and 10 are 11
10 and 6 are 16
10 and 2 are 12
6 and 10 are 16
2 and 10 are 12
10 and 7 are 17
10 and 3 are 13
7 and 10 are 17
3 and 10 are 13
10 and 8 are 18
10 and 4 are 14
8 and 10 are 18
4 and 10 are 14
10 and 9 are 19
10 and 5 are 15
9 and 10 are 19
10 and 10 are 20.
1. I paid 10 cents for ink, and 2 cents for paper : how
much did I pay for both ?
Solution. — I paid for both 10 cents and 2 cents, which are 12 cents.
2. Mary gave 3 dollars for a dress, and 10 dollars for a
shawl : what did she give for both ?
3. There are 10 trees in one row, and 4 in another:
how many trees in both rows?
4. In one pasture there are 5 cows, and in another 10 :
how many cows in both pastures?
5. I bought 10 yards of blue ribbon, and 6 yards of
white : how many yards of ribbon did I buy ?
6. There are 7 girls in one class, and 10 in another:
how many girls in both classes?
7. I received 10 dollars for peaches, and 8 dollars for
plums: how much in all?
8. Edwin found 9 nuts under one tree, and 10 under
another : how naany nuts did he find ?
9. Mary bad 10 cents, and her mother gave her 10
more: how many did she then \iavG*l
ADDITION. 23
LESSON XXI.
REVIEW,
1. How many are 2 and 4?
Solution. — 2 and 4 are 6.
2. How many are 3 and 5? 4 and 7?
3. How many are 6 and 4? 3 and 8?
4. How many are 2 and 9? 8 and 2?
5. How many are 2 and 10? 7 and 2?
6. How many are 3 and 3? 4 and 4?
7. How many are 5 and 4? 6 and 5?
8. How many are 2 and 5? 3 and 10?
9. How many are 10 and 4 ? 3 and 9 ?
10. How many are 6 and 7? 7 and 5?
11. How many are 4 and 8? 5 and 9?
12» How many are 10 and 6? 9 and 7?
13. How many are 7 and 7? 6 and 6?
14. How many are 8 and 6? 10 and 7?
15. How many are 2 and 6? 6 and 9?
16. How many are 9 and 4? 10 and 9?
17. How many are 10 and 8? 5 and 8?
18. How many are 8 and 7? 2 and 2?
19. How many are 5 and 5? 7 and 3?
20. How many are 8 and 8 ? 9 and 9 ?
21. How many are 4 and 3? 2 and 3?
22. How many are 5 and 10? 8 and 9?
23. How many are 2 and 2 and 2?
Solution. — 2 and 2 are 4; 4 and 2 are 6.
24. How many are 4 and 4 and 4? 5 and 5 and 5?
25. How many are 6 and 4 axA ^1 % ^^^ ^ '^^^^t^^ '^'^
24 RAY'S NEW PRIMARY ARITHMETIC.
26. How many are 3 and 5 and 7? 4 and 5 and 9?
27. How many are 6 and 2 and 9? 5 and 2 and 3?
28. How many are 3 and 5 and 9? 4 and 4 and 6?
29. How many are 4 and 6 and 7? 3 and 8 and 9?
30. How many are 2 and 3 and 2? 2 and 6 and 7?
LESSON xxn.
REVIEW.
1. How many are 2 and 4 and 2? 2 and 7 and 7?
2. How many are 3 and 5 and 5? 4 and 5 and 8?
3. How many are 2 and 5 and 2? 3 and 6 and 5?
4. How many are 6 and 2 and 2? 2 and 2 and 7?
5. How many are 4 and 4 and 2? 3 and 3 and 5?
6. How many are 3 and 6 and 3? 2 and 4 and 6?
7. How many are 3 and 4 and 5? 5 and 2 and 7?
8. How many are 2 and 4 and 7? 3 and 8 and 8?
9. How many are 5 and 6 and 8? 4 and 6 and 9?
10. How many are 3 and 6 and 6? 2 and 7 and 9?
11. How many are 2 and 3 and 6? 2 and 7 and 3?
12. How many are 2 and 9 and 9? 3 and 6 and 9?
13. How many are 5 and 3 and 8? 3 and 3 and 8?
14. How many are 2 and 2 and 9? 2 and 8 and 2?
15. How many are 8 and 2 and 8? 5 and 2 and 5?
16. How many are 4 and 2 and 9? 6 and 6 and 7?
17. How many are 5 and 4 and 4? 5 and 5 and 9?
18. How many are 7 and 4 and 9? 2 and 7 and 8?
19. How many are 4 and 3 and 2? 2 and 3 and 3?
20. How many are 6 and 7 and 7? 4 and 8 and 8?
21. How many are 2 and 3 and 8? 2 and 9 and 8?
^£1 How many are 6 and 2 and ^'i *i oa^ ^ ^tA*1*1
ADDITION. 25
23. How many are 4 and 5 and 5? 4 and 5 and 6?
24. How many are 4 and 6 and 8? 3 and 7 and 9?
25. How many are 3 and 3 and 4? 5 and 8 and 7?
26. How many are 2 and 3 and 9? 3 and 3 and 7?
27. How many are 5 and 5 and 6? 5 and 5 and 8?
28. How many are 4 and 7 and 8? 3 and 6 and 8?
29. How many are 3 and 3 and 3? 4 and 2 and 5?
30. How many are 4 and 7 and 7? 4 and 4 and 9?
31. How many are 4 and 5 and 7?
Solution. — 4 and 5 are 9, and 7 are 16.
32. How many are 3 and 7 and 7? 2 and 4 and 8?
33. How many are 5 and 6 and 7? 3 and 4 and 4?
34. How many are 3 and 7 and 8? 2 and 5 and 9?
35. How many are 5 and 6 and 9? 2 and 5 and 8?
36. How many are 3 and 3 and 9? 6 and 4 and 3?
37. How many are 3 and 4 and 7? 4 and 4 and 7?
38. How many are 5 and 7 and 7? 3 and 4 and 8?
39. How many are 6 and 6 and 8? 4 and 4 and 8?
40. How many are 2 and 5 and 6? 3 and 4 and 9?
41. Begin with 1 and count by 2'8 to 19.
Solution.— 1, 3, 5, 7, 9, 11, 13, 15, 17, 19.
42. Begin with 1 and count by 3*8 to 19.
43. Begin with 1 and count by 4'8 to 17.
44. Begin with 1 and count by 5'8 to 16.
45. Count by 2^8 to 20. Count by 3'8 to 18.
46. Count by 4^8 to 20. Count by 5'8 to 20.
47. Begin with 2 and count by 3's to 20.
48. Begin with 2 and count by 4's to 18,
49. Begin with 2 and count by 5'a tA \X.
60. Begin with 3 and counX* Vj ^^ \ft "S^^
26 BAY'S NEW PRIMARY ARITHMETIC.
LESSON xxnr.
1. Mary paid 5 cents for ribbon, 4 cents for thread, and
3 cents for tape : how much did she pay for all ?
Solution. — Mary paid for all 5 cents and 4 cents and 3 cents,
which are 12 cents.
2. Joseph caught 6 fishes, Samuel 3, and Henry 5 : how
many fishes did they all catch?
3. A boy spent 7 cents for candy, 3 cents for cakes, and
6 cents for apples : how much did he spend ?
4. Six peaches and 3 peaches and 6 peaches are how
many peaches?
5. Eight dollars and two dollars and eight dollars are
how many dollars?
6. Jane has 2 pins, and Mary gives her 4; she then
finds 7 more : how many pins has she ?
7. James has 4 marbles: he buys 6 at a store, and
Edward gives him 7 more: how many marbles has he
then?
8. I buy a hat for 4 dollars, a vest for 5 dollars, and a
coat for 10 dollars, when I find that I have spent all my
money: how much money had I?
9. A farmer sold a barrel of apples for three dollars, a
tub of butter for nine dollars, and a load of wood for
seven dollars : how much did he receive for all ?
10. I buy four apples for 7 cents, two pears for 3 cents,
and five oranges for 10 cents: how much do I spend?
11. I buy 2 apples of one man for 2 cents, 6 of another
for 5 cents, and 7 of another for 10 cents: how many
apples do I buy? How many cents do I spend?
12. John bought 5 pears for 6 cents, 3 pears for 4 cents,
and 2 pears for 5 cents: how many pears did he buy?
2foTv much did they all coBt?
LIBSOH XSIV.
Here is a picture of Bome owla sitting on the branch
of a pine tree. How many owls are there? There are
also some bats flying: how many bats can you see?
1. There were three owls sitting on a tree; two of them
flew away, how many were left?
2. Three lesa 2 are how many?
3. Seven bats were seen flying, four of them flew into
a bam: how many were still outside?
4. Seven less 4 are how many?
5. There were nine leaves on one twig, but three of
them fell off: how many leaves were left?
6. Nine less 3 are how loaa^l
28
RAY'S NEW PRIMARY ARITHMETIC.
LESSON
1 from 1
leaves
1 from
6 leaves 5
1 from 2
loaves 1
6 from
7 leaves 1
2 from 3
leaves 1
1 from
7 leaves 6
1 from 3
leaves 2
7 from
8 leaves 1
3 from 4
leaves 1
1 from
8 leaves 7
1 from 4
leaves 3
3 from
9 leaves 1
4 from 5
leaves 1
1 from
9 leaves 8
1 from 5
leaves 4
9 from 10 leaves 1
5 from 6
leaves 1
1 from 10 leaves 9
1. Mary had 3 roses, and she gave 2 of them to Henry:
how many had she left?
Solution. — Mary had left 3 roses less 2 roses, which is 1 rose.
2. If 1 melon be taken from 4 melons, how many
melons will remain?
3. If you have 5 nuts, and give away 4 of them, how
many will you then have?
4. Thomas had 6 pigeons, but one of them died: how
many were left?
5. Charles had 7 marbles, and lost 6 of them: how
many marbles had he left?
6. Alice had 8 chickens, and 1 was killed: how many
had she then?
7. Jane had 9 cents, and spent 8 cents: how many
cents had she left?
8. If you take 9 apples from 10 apples, how many will
remain ?
9. Ella bad 10 plums, and she gave 1 to hw sister:
Aow many plums had she left?
SUBTKACTIOK.
29
LESSON XXVL
2 from 2 leaves
5 from 7 leaves 2
2 from 3 leaves 1
2 from 8 leaves fi
1 from 3 leaves 2
6 from 8 leaves 2
2 from 4 leaves 2
2 from 9 leaves 7
2 from 5 leaves 3
7 from 9 leaves 2
3 from 5 leaves 2
2 from 10 leaves 8
2 from 6 leaves 4
8 from 10 leaves 2
4 from 6 leaves 2
2 from 11 leaves 9
2 from 7 leaves 5
9 from 11 leaves 2
1. Frank had 3 apples, and gave 1 to his brother : how
many had he left?
Solution. — Frank had left 8 apples less 1 apple, which are 2
apples.
2. William had 4 cents: after spending 2 cents for
nuts, how many had he left?
3. There were 5 birds in a tree: after 2 of them flew
away, how many were left?
4. Daniel caught 6 mice, but 2 of them got away : how
many were left?
5. Francis bought 7 oranges, and ate 2 of them: how
many had he then?
6. John had 8 marbles, but he lost 2 of them: how
many remained.
7. A hen had 9 chickens, but 2 of them died: how
many were left?
8. Margaret had 10 cakes, and gave 8 of them to her
sister : how many had she left ?
9. If 2 yards be taken from 11 yards^ how many Yards.
will remain ?
30
RAY'S NEW PRIMARY ARITHMETIC.
LESSON xxvn.
3 from 3 leaves
5 from 8 leaves 3
3 from 4 leaves 1
3 from 9 leaves 6
1 from 4 leaves 3
6 from 9 leaves 3
3 from 5 leaves 2
3 from 10 leaves 7
2 from 5 leaves 3
7 from 10 leaves 3
3 from 6 leaves 3
3 from 11 leaves 8
3 from 7 leaves 4
8 from 11 leaves 3
4 from 7 leaves 3
3 from 12 leaves 9
3 from 8 leaves 5
9 from 12 leaves 3
1. Mary had 4 oranges ; after eating 3, how many did
she have left?
Solution. — Mary had left 4 oranges less 3 oranges, which is 1
orange.
2. Lucy had 5 ducks, but 2 of them died: how many
had she then?
3. Six persons are in a carriage : if 3 of them get out,
how many will remain?
4. Cora had 7 pins, and lost 4 of them : how many pins
did she then have?
5. Francis had 8 cents, and spent 3 of them : how many
cents had he left?
6. A hen had 9 chickens, but a hawk carried off 6 of
them: how many were left?
7. John had 10 lemons, and gave 3 to a poor sick boy:
how many had he left?
8. If 8 be taken from 11, how many will remain ?
9. Eliza, had 12 cents, and spent 3 cents: how many
cents had she left?
SUBTRACTION. 31
LESSON
4 from 4 leaves
1 from 5 leaves 4
4 from 5 leaves 1
2 from 6 leaves 4
4 from 6 leaves 2
3 from 7 leaves 4
4 from 7 leaves 3
4 from 8 leaves 4
5 from 9 leaves 4
4 from 9 leaves 5
6 from 10 leaves 4
4 from 10 leaves 6
7 from 11 leaves 4
4 from 11 leaves 7
8 from 12 leaves 4
4 from 12 leaves 8
9 from 13 leaves 4
4 from 13 leaves 9
1. Heniy has 5 apples : if he eat 4 of them, how many
will he have left?
Solution. — Henry will have left 5 apples less 4 apples, which is 1
apple.
2. Eliza had 6 birds in a cage : she let 2 of them out :
how many remained in the cage ?
3. There were 7 ducks in a pond: 4 flew away: how
many were left?
4. There are 8 beans in a row : if you take 4 of them
away, how many will remain?
5. A window contained 9 panes of glass : a boy broke
5 : how many were not broken ?
6. There were 10 trees standing in a field: a storm
blew down 4: how many remained?
7. Oliver is 4 years old, and Jane is 11 : how mucn
older is Jane than Oliver?
8. If 8 oranges be taken from 12 oranges, how many
will remain?
9. A hen had 13 chickens, and 4 of them died : how
many remained alive ?
32
RAY'S NEW PRIMARY ARITHMETIC.
LESSON XXIX.
5 from 5 leaves
5 from 10 leaves 5
1 from 6 leaves 5
6 from 11 leaves 5
5 from 6 leaves 1
5 from 11 leaves 6
2 from 7 leaves 5
7 from 12 leaves 5
5 from 7 leaves 2
5 from 12 leaves 7
3 from 8 leaves 5
8 from 13 leaves 5
5 from 8 leaves 3
5 from 13 leaves 8
4 from 9 leaves 5
9 from 14 leaves 5
5 from 9 leaves 4
5 from 14 leaves 9
1. Francis had 6 oranges, and gave 5 of them away:
how many had he left?
Solution. — Francis had left 6 oranges less 5 oranges, which is 1
orange.
2. There are 7 crows in the field : if 2 of them fly away,
how many will be left?
3. Of 8 ships that went to sea, 5 were lost in a storm :
how many remained?
4. Lucy had 9 yards of ribbon, and gave 5 of them for
a doll: how many yards had she left?
5. Daniel, having 10 marbles, gave 5 of them to John :
how many had he left?
6. Father gave me 6 cents, and mother gave me enough
more to make 11 cents: how many did she give me?
7. I owe 12 cents, and have but 5: how many more
must I get to pay the debt?
8. I owed 13 dollars, and paid all but 5 dollars : how
much did I pay?
9. Mary had 14 nuts : she cracked and ate 9 of them :
bow many nuts has she left?
SUBTRACTION.
T.ESSON XXX.
6 from
G leaves
5 from 11 leaves 6
1 fi-oiu
7 leaves 6
G from 11 leaves 5
6 from
7 leaves 1
G from 12 leaves 6
2 from
8 leaves 6
7 from 13 leaves 6
6 from
8 leaves 2
G from 13 leaves 7
3 from
9 leaves 6
8 from 14 leaves 6
6 from
9 leaves 3
6 from 14 leaves 8
4 from
10 leaves 6
9 from 15 leaves 6
6 from 10 leaves 4
6 from 15 leaves 9
83
1. If James makes 7 marks on a slate, and then rubs
out 1 of them, how many remain ?
Solution. — There remain 7 marks less 1 mark, which are 6 marks.
2. Mary had 8 cents, and spent G cents for a thimble;
how much had she left?
3. Henry had 9 raisins: after eating 6 of them, how
many had he left?
4. I bought 10 eggs in market, and broke 4 of them
coming home : how many whole eggs remained ?
5. If 6 cents be taken from 11 cents, how many cents
will remain?
6. I paid 6 dollars for a coat, and sold it for 12 dollars :
how much did I gain ?
7. I had 13 dozen eggs, and sold 6 dozen: how many
dozen were left?
8. John had 14 oranges, and gave away 8 of them:
how many oranges had he then?
9. Kine and how many make 15? Sis and how many
make 14?
PtL8,
84 HAY»S NEW PKIMARY ARITHMETIC.
7 from 7 leaves
5 from 12 leaves 7
1 from 8 leaves 7
7 ft^m 12 leaves 5
7 from 8 leaves 1
6 from 13 leaves 7
2 from 9 leaves 7
7 from 13 leaves 6
7 from 9 leaves 2
7 from 14 leaves 7
3 from 10 leaves 7
8 from 15 leaves 7
7 from 10 leaves 3
7 from 15 leaves 8
4 from 11 leaves 7
9 from 16 leaves 7
7 from 11 leaves 4
7 from 16 leaves 9
1. Charles had 8 cents, and spent 7 cents for cand
how much had he left?
Solution. — Charles had left S cents less 7 cents, which is 1 cent
2. A man bought a calf for 9 dollars, and paid 2 dolh
down : how much remained unpaid ?
3. Ella bought 10 oranges, and gave her mother
how many had she left?
4. A book, which cost 7 cents, was sold for 11 cen
how much was gained?
5. Thomas had 12 marbles, and lost 5 of them: h
many had he left?
6. If 7 lemons be taken from 13 lemons, how ma
lemons will remain?
7. Mary is 14 years old, and Anna is 7 : how mi:
older is Mary than Anna?
8. A boy counted 15 birds on a tree: some of th
flying away, he counted 8 remaining: how many fl
away?
9, Seven and how many make 15? Kine and h
manjr make 16?
SUBTRACTION. 85
LESSON xxxn.
8 from 8 leaves
1 from 9 leaves 8
8 from 9 leaves 1
2 from 10 leaves 8
8 from 10 leaves 2
3 from 11 leaves 8
8 from 11 leaves 3
4 from 12 leaves 8
8 from 12 leaves 4
5 from 13 leaves 8
8 from 13 leaves 5
6 from 14 leaves 8
8 from 14 leaves 6
7 from 15 leaves 8
8 from 15 leaves 7
8 from 16 leaves 8
9 from 17 leaves 8
8 from 17 leaves 9
1. Mary has 9 pecans: after eating 1 of them, how
many will she have left?
SoLUTiON.^-Mary will have left 9 pecans less 1 pecan, which are 8
pecans.
2. Jane has 10 cents: if she give 8 cents for a hook,
how many cents will she still have?
3. Susan bought 11 peaches, and gave Emma 8: how
many had she left?
4. I sold a ball for 12 cents, which cost me 8 cents:
how much did I gain?
5. Frank had 13 oranges, and gave 5 to Charles: how
many did Frank then have?
6. Samuel, having 14 marbles, lost 8 of them: how
many marbles had he left?
7. Henry bought 15 pens, and lost 7 : how many pens
had he remaining?
8. If 16 persons are in a room, and 8 of them leave,
how many remain ?
9. Nine and how many make 17? Eight and how
many make 16 ?
36 RAY'S NEW PRIMARY ARITHMETIC.
LESSON xxxm.
9 from 9 leaves
1 from 10 leaves 9
9 from 10 leaves 1
2 from 11 leaves 9
9 from 11 leaves 2
3 from 12 leaves 9
9 from 12 leaves 3
4 from 13 leaves 9
9 from 13 leaves 4
5 from 14 leaves 9
9 from 14 leaves 5
6 from 15 leaves 9
9 from 15 leaves 6
7 from 16 leaves 9
9 from 16 leaves 7
8 from 17 leaves 9
9 from 17 leaves 8
9 from 18 leaves 9
1. Thomas has 10 walnuts: after eating 9, how many
will he have left?
Solution. — ^Thomas will have left 10 walnuts less 9 walnuts,
which is 1 walnut.
2. I had 11 cents, and spent 9 for a slate: how much
had I remaining?
3. Having 12 dollars, I spent 9 for a coat: how much
had I then ?
4. Anna had 13 birds : 4 of them died : how many had
she left?
5. There were 14 horses in a field, but 9 of them got
out: how many horses remained?
6. Mary had 15 plums, and gave her brother 6 : how
many had she then ?
7. George had 16 marbles, and lost 9 of them: how
many did he then have?
8. A man had 17 horses, and sold 8 of them: how
many had he then?
9. I bought a kite for 9 cents, and sold it for 18 cents:
Jiow much did I make ?
SUBTRACTION.
T.KSRON
XXXIV.
om
10 leaves
5 from 15 leaves 10
om
11 leaves 10
10 from 15 leaves 5
om
11 leaves 1
6 from 16 leaves 10
om
12 leaves 10
10 from 16 leaves 6
om
12 leaves 2
7 from 17 leaves 10
om
13 leaves 10
10 from 17 leaves 7
om
13 leaves 3
8 from 18 leaves 10
om
14 leaves 10
10 from 18 leaves 8
om
14 leaves 4
9 from 19 leaves 10
37
cy had 11 cents, and paid 10 for a book: how
Bnts had she left?
ON. — Lucy had left 11 cents less 10 cents, which is 1 cent
lad 12 dollars : afrer spending part, I had 10 dol-
.: how much did I spend?
ere are 13 pupils in school : if 3 of them leave,
.ny will remain ?
ere were 14 trees standing in a field : 10 of them
t down : how many remained ?
arles had 15 marbles, and lost all but 5: how
id he lose?
nry had 16 cents, and spent 10 : how many did
have?
>we 17 dollars : if I pay all but 7, how many will
)ought three oranges for 10 cents, and sold them
ents : how much did I gain ?
from 19 leaves how many? 9 froiSL IQ l<5«j5^sb
ny?
36 RAY'S NEW PRIMARY ARITHMETIC.
LESSON XXXV.
REVIEW.
1. How many are 4 less 2?
Solution. — 4 less 2 are 2.
2. How many are 10 less 4? 10 less 6? 6 less 3?
3. How many are 7 less 5? 9 less 3? 11 less 4?
4. How many are 12 less 4? 12 less 8? 13 less 6?
5. How many are 18 less 10? 19 less 9? 15 less 9?
6. How many are 16 less 10? 13 less 3? 14 less 7?
7. How many are 11 less 8? 7 less 4? 11 less 6?
8. How many are 12 less 3? 16 less 7? 15 less 10?
9. How many are 17 less 8? 17 less 10? 11 less 9?
10. How many are 9 less 5? 8 less 3? 7 less 2?
11. How many are 8 less 6? 10 less 7? 11 less 5?
12. How many are 12 less 9? 13 less 10? 12 less 10?
13. How many are 14 less 9? 13 less 7? 15 less 8?
14. How many are 17 less 9? 13 less 4? 16 less 8?
15. How many are 11 less 7? 18 less 9? 15 less 7?
16. How many are 16 less 9? 13 less 5? 12 less 6?
17. How many are 14 less 10? 14 less 8? 9 less 4?
18. How maiiy are 15 less 6? 12 less 5? 8 less 5?
19. How many are 11 less 3? 15 less 5? 12 less 7?
. 20. How many are 9 less 2? 19 less 10? 17 less 7?
21. How many are 5 less 2? 10 less 3? 12 less 2?
22. How many are 18 less 8? 5 less 3? 6 less 4?
23. How many are 6 less 2? 14 less 6? 9 less 6?
24. How many are 16 less 6? 14 less 4? 8 less 2?
25. How many are 8 less 4? 13 less 9? 9 less 7?
^d How many are 10 less 2? 14 leas 5? 11 less 2?
2r. How many are 13 less B? IQ \ft«^^ ^*l \^>«e. \i\
ADDITION AND SUBTRACTION.
liBSSON XXXVI.
ADDITION AND SUBTRACTION.
I 1. How many are 2 and 5, less 3?
Solution.—
-2 and 5 are 7; '
7 less 8 are 4.
less i
2.
How many-
are
3 and 3,
less 4?
lees 4
3.
How many
are
8 and 9,
less 7?
9 and 8,
, less 1
less 6'
4.
How many
are
7 and 10,
less 8? 10 and 7.
i
, less
Jess J
5.
How many
are
3 and 4,
less 5?
5 and 2,
less
^em V
6.
How many
are
2 and 6,
less 3?
5 and 3,
, less
tess 6';
7.
How many
are
7 and 9,
less 6? 10 and 6,
, less
ess 10'
8.
How many
are
3 and 5,
less 6?
4 and 4,
less
ens 9:
i 9.
How many
are
6 and 10,
less 9? 10 and 6,
less
Bss 2!
10.
t
How many
are
8 and 10,
less 9?
9 and 9,
less 1
58S 5^
11.
How many
are
3 and 9,
less
10?
9 and 3,
less
«8 W
12.
How many
are
7 and 7,
less
5?
8 and 5,
less
88 8:
13.
How many
are
4 and 8,
less
9?
5 and 9,
less
ss 8:1
14.
How many
are
6 and 7,
less
3?
7 and 8,
less
58 rr
15.
How many
are
5 and 6,
less
9?
2 and 7,
less
16.
How many
are
6 and 6,
less
4? 10 and 5,
less
« 4!^
17.
How many
are
3 and 8,
less
5?
8 and 7,
less
8 5M
8 7:
18.
How many
are
5 and 5,
less
2?
8 and 6,
less
19.
How many
are
8 and 6,
less
9?
7 and 5,
less
20.
How many
are
3 and 7,
less
4?
6 and 8,
less 1
3 2
21.
How many
are
4 and 9,
less
5?
9 and 5,
less
3 4^
22.
How many
are
8 and 8,
less
10?
6 and 4,
less
3 fe''
23.
How many
are
6 and 3,
less
5?
8 and 6,
less
3 f
24.
How many
are
5 and 4,
less
2?
2 and 8,
less
3 T
25.
How many
are
9 and 6,
less
7?
7 and 6,
1 less 1
5 2
26.
How many
are
7 and 4,
less
8? 10 and 2,
less
' 5 1
27, How many ar« 5 and 1 , \^^^ ^1 ^ wA '^^ Vrss
40 RAY'S NEW PRIMARY ARITHMETIC.
iiBssoN xxxvn.
1. Begin with 20, and subtract by 2's to 0.
Solution.— 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0.
2. Begin with 18, and subtract by 3's to 0.
3. Begin with 20, and subtract by 4'8 to 0.
4. Begin with 20, and subtract by 5*8 to 0.
5. Begin with 18, and subtract by O's to 0.
6. Francis has 10 cents in two pockets; there are 4
cents in one : how many in the other ?
7. I think of two numbers that together make 8 : one
of them is 5 : what is the other ?
8. Mary had 11 apples: she gave 4 to Lucy, and 5
to Nancy: how many had she left?
Solution. — Mary gave away 4 apples and 5 apples, which are 9
apples; then, she had left 11 apples less 9 apples, which are 2 apples.
9. Emma had 15 cents: she paid 5 cents for thread, 2
cents for tape, and 3 cents for needles: how much had
she left ?
10. I have 10 cents in one hand, and 5 in the other:
if I take 3 cents from each hand, how many cents will I
then have in both hands?
11. Three numbers together make 18 : the first number
is 9, the second is 4: what is the third?
12. I bought 16 oranges, and gave 6 to James : Henry
afterwards gave me 8 more : how many oranges had I
then?
13. James has 8 marbles, and John has 7 ; Henry has
10 less than James and John together : how many mar-
bles has Henry?
14. Albert bought 10 apples: he sold 3, and ate 2: how
manjr apples bad he left?
LESSON xxxvm.
How many BwallowB can you count in the picture?
How many arc flying inside tho shed? How many are
at rest? How many are flying outside the shed?
1. How many birds are three timcH four birds?
2. How many are 3 times 4?
3. There are four nesta over the door-way: if there
are four eggs in each neat, how many eggs arc there in
all the nests?
4. How many are 4 times 4?
6. Each swallow has two wings: how many wings
have eight swallows?
6. How many are 8 timea 11
42
BATS NBW PRIMARY ARITHMETIC.
1 time 2 is
2
6 times
1 are
6
2 times 1 are
2
1 time
7 is
7
1 time 3 is
3
7 times
1 are
7
3 times 1 are
3
1 time
8 is
8
1 time 4 is
4
8 times
1 are
8
4 times 1 are
4
1 time
9 is
9
1 time 5 is
5
9 times
1 are
9
5 times 1 are
5
1 time
10 is
10
1 time 6 is
6
10 times
1 are
10
1. John bought 2 figs at 1 cent each : how muoh did
they cost?
Solution. — ^They cost 2 times 1 cent, which are 2 cents.
2. Henry paid 1 cent for a slate pencil : at that rate,
how much will 3 pencils cost?
3. If apples cost 1 cent apiece, what will be the cost of
4 apples?
4. If one yard of tape cost 1 cent, what will be the
cost of 5 yards?
5. What will be the cost of 6 yards of silk, if one yard
cost 1 dollar?
6. If a car travel 1 mile in a minute, how far will it
travel in 7 minutes?
7. If one toy book cost 1 cent, how much must Mary
pay for 8 toy books?
8. How much will 9 yards of tape cost, at 1 cent a
yard?
9. If eggs are worth 1 cent each, what will 10 eggs
cost? •
MULTIPLICATION.
43
LBSSON XL.
2 times 1 are 2
2 times 2 are 4
2 times 3 are 6
3 times 2 are 6
2 times 4 are 8
4 times 2 are 8
2 times 5 are 10
5 times 2 are 10
2 times 6 are 12
6 times
2 times
7 times
2 times
8 times
2 times
9 times
2 times
10 times
2 are 12
7 are 14
2 are 14
8 are 16
2 are 16
9 are 18
2 are 18
10 are 20
2 are 20
1. When peaches are selling at 2 cents each, how much
will 2 peaches cost?
Solution. — They will cost 2 times 2 cents, which are 4 cents.
2. Frank bought 2 plums, at 3 cents each : how much
did they cost?
3. How much must you pay for 4 yards of tape, at 2
cents a yard ?
4. How much will 2 pounds of meat cost, at 5 cents a
pound?
5. When lemons are selling at 6 cents each, how many
cents will 2 lemons cost?
6. Sarah bought 2 yards of ribbon, at 7 cents a yard :
how many cents did they cost?
7. William bought 8 sticks of candy, at 2 cents a stick :
how many cents did they cost?
8. Harry has 9 cents, and Emma has 2 times as many:
how many cents has Emma?
9. Jane bought 2 books at 10 cents each: how much
did ehe pay for them?
44 BAY'S NEW PRIMARY ARITHMETIC.
LBSSON Xlil.
3 times 1 are 3
2 times 3 are 6
3 times 2 are 6
3 times 3 are 9
3 times 4 are 12
4 times 3 are 12
3 times 5 are 15
5 times 3 are 15
3 times 6 are 18
6 times 3 are 18
3 times 7 are 21
7 times 3 are 21
3 times 8 are 24
8 times 3 are 24
3 times 9 are 27
9 times 3 are 27
3 times 10 are 30
10 times 3 are 30
1. If a pint of chestnuts cost 3 cents, how m^ch will 2
pints cost?
Solution. — They will cost 2 times 8 cents, which are 6 cents.
2. James bought 3 tops, at 3 cents each: what did he
pay for them?
3. If Thomas can walk 3 miles in an hour, how far can
he walk in 4 hours?
4. If 1 pear is worth 5 apples, how many apples are 3
pears worth?
5. If 1 peach is worth 3 plums, how many plums are
6 peaches worth?
6. How much will 7 yards of tape cost, if 1 yard cost
3 cents?
7. If 1 orange cost 3 cents, how many cents will 8
oranges cost?
8. If 1 pound of sugar cost 9 cents, how much will 3
pounds cost?
9. A filate cost 10 cents, and a book 3 times as much:
nrhat did the book cost?
MULTIPLICATION. 45
LESSON XT.ir.
4 times 1 are 4
6 times
4 are 24
2 times 4 are 8
4 times
7 are 28
4 times 2 are 8
7 times
4 are 28
3 times 4 are 12
4 times
8 are 32
4 times 3 are 12
8 times
4 are 32
4 times 4 are 16
4 times
9 are 36
4 times 5 are 20
9 times
4 are 36
5 times 4 are 20
4 times 10 are 40
4 times 6 are 24
10 times
4 are 40
1. Lucy has 2 kittens, and each one has 4 feet: how
many feet have both?
Solution. — Both kittens have 2 times 4 feet, whi(ih are 8 feet.
2. Thomas has 3 pigeons, and James has 4 times as
many : how many has James ?
3. Daniel bought 4 tops, at 4 cents each : what did they
cost?
4. When rice is 4 cents a pound, how much will 5
pounds cost?
5. There are 4 quarters in one apple: how many
quarters are there in 6 apples?
6. Francis bought 7 oranges, at 4 cents each: what did
they cost?
7. If peaches are sold at 4 cents apiece, how much
will 8 peaches cost?
8. If a pound of starch cost 9 cents, what will 4 pounds
cost?
9. At 10 cents apiece, what will be the cost of 4 lead-
pencils?
6 times
5 are 30
5 times
7 are 35
7 times
5 are 35
5 times
8 are 40
8 times
5 are 40
5 times
9 are 45
9 times
5 are 45
5 times
10 are 50
10 times
5 are 50
46 BAY'S NEW PRIMARY ARITHMETIC.
LESSON Xliin.
5 times 1 are 5
2 times 5 are 10
5 times 2 are 10
3 times 5 are 15
5 times 3 are 15
4 times 5 are 20
5 times 4 are 20
5 times 5 are 25
5 times 6 are 30
1. Francis bought 5 tops, at 2 cents each: how many
cents did they cost?
Solution. — Five tops cost 5 times 2 cents, which are 10 cents.
2. If James can walk 5 miles in 1 hour, how many
miles can he walk in 3 hours?
3. If 1 peach is worth 5 plums, how many plums are 4
peaches worth?
4. Lucy has 5 hens, and each hen has 5 chickens : how
many chickens have all the hens?
5. Francis found 6 bird's nests, with 5 eggs in each:
how many eggs in all?
6. Daniel bought 5 oranges, at 7 cents each : how much
did he pay for them?
7. What will be the cost of 8 kites, at 5 cents
apiece?
8. If 1 pound of flour cost 5 cents, what will 9 pounds
cost?
P, If one street-car ticket cost 5 cents, what will 10
iicketa coat?
MULTIPLICATION. 47
liBSSON XUV.
6 times 1 are 6
6 times
6 are 36
2 times 6 are 12
6 times
7 are 42
6 times 2 are 12
7 times
6 are 42
3 times 6 are 18
6 times
8 are 48
6 times 3 are 18
8 times
6 are 48
4 times 6 are 24
6 times
9 are 54
6 times 4 are 24
9 times
6 are 54
5 times 6 are 30
6 times
10 are 60
6 times 5 are 30
10 times
6 are 60
1. If 1 dress can be made from 6 yards of calico, how
many yards will it take to make 2 dresses?
Solution. — For 2 dresses it will take 2 times 6 yards, which are 12
yards.
2. Mary has 3 hens, and each hen has 6 chickens : how
many chickens are there in all ?
3. If there are 6 panes of glass in one window, how
many panes are there in 4 windows?
4. If 1 orange is worth 5 peaches, how many peaches
are 6 oranges worth?
5. John bought 6 quarts of plums, at 6 cents a quart :
how much did they cost?
6. If 1 quart of strawberries cost 7 cents, how much
will 6 quarts cost?
7. If a man eat 6 ounces of bread in 1 day, how many
ounces will ho eat in 8 days?
8. What will bo the cost of 6 lead-pencils, at 9 cents
each?
9. I bought 6 dozen eggs, at 10 cents a dozen: how
much did they cost?
48 BAY'S NEW PRIMAKY ARITHMETIC.
LESSON XT.V.
7 times 1 are 7
6 times
7 are 42
2 times 7 are 14
7 times
6 are 42
7 times 2 are 14
7 times
7 are 49
3 times 7 are 21
7 times
8 are 56
7 times 3 are 21
8 times
7 are 56
4 times 7 are 28
7 times
9 are 63
7 times 4 are 28
9 times
7 are 63
5 times 7 are 35
7 times
10 are 70
7 times 5 are 35
10 times
7 are 70
1. Sarah bought 2 thimbles, at 7 eents eaeh : how much
did both cost?
Solution. — Both thimbles cost 2 times 7 cents, which are 14 cents.
2. Edward has 3 pockets, and has 7 marbles in each:
how many marbles has he?
3. There are 7 days in a week: how many days are
there in 4 weeks?
4. If one melon is worth 5 peaches, how many peaches
are 7 melons worth?
5. If a horse travel 7 miles in one hour, how many
miles will he travel in 6 hours?
6. If each of 7 benches will seat 7 boys, how many
boys can be seated on them all?
7. If Harry gives 7 marbles for one cent, how many
must he give for 8 cents?
8. If muslin is 9 cents a yard, how many cents will 7
yards cost?
9. At 10 centB a yard, how much will 7 yards of ribbon
cojstF
MULTIPLICATION. 49
LESSON XLVL
6 times
8 are 48
8 times
6 are 48
7 times
8 are 56
8 times
7 are 56
8 times
8 are 64
8 times
9 are 72
9 times
8 are 72
8 times
10 are 80
10 times
8 are 80
8 times 1 are 8
2 times 8 are 16
8 times 2 are 16
3 times 8 are 24
8 times 3 are 24
4 times 8 are 32
8 times 4 are 32
5 times 8 are 40
8 times 5 are 40
1. James "bought 2 melons, at 8 cents each: how many
cents did they cost?
Solution. — The melons cost 2 times 8 cents, which are 16 cents.
2. Each one of 3 boys caught 8 fishes, how many did
they all catch?
3. Nancy has 4 hens, and each hen has 8 chickens:
how many chickens are there?
4. There are 5 houses, each having 8 windows: how
many windows in all the houses?
5. If there are 8 pints in one gallon, how many pints
are there in 6 gallons?
6. Clara bought 8 spools of thread, at 7 cents each:
how much did they cost?
7. There are 8 quarts in 1 peck : how many quarts are
there in 8 pecks?
8. If one dozen apples cost 9 cents, how many cents
will 8 dozen apples cost?
9. If one comb cost 10 cents, what will be the cost of
8 combs?
PrL 4.
50 BAY'S NEW PRIMARY ARITHMETIC.
LESSON XliVn.
9 times 1 are 9
6 times
9 are 54
2 times 9 are 18
9 times
6 are 54
9 times 2 are 18
7 times
9 are 63
3 times 9 are 27
9 times
7 are 63
9 times 3 are 27
8 times
9 are 72
4 times 9 are 36
9 times
8 are 72
9 times 4 are 36
9 times
9 are 81
5 times 9 are 45
9 times
10 are 90
9 times 5 are 45
10 times
9 are 90
1. Francis bought 2 knives, at 9 cents each : how man
cents did they cost?
Solution. — ^The knives cost 2 times 9 cents, which are 18 cents.
2. I bought 3 pounds of raisins, at 9 cents a poun(
what did I pay for them?
3. There are 9 panes of glass in each of 4 windowi
how many panes in all?
4. If one orange cost 5 cents, how much will 9 orang
cost?
5. How many cents will I have to pay for 6 tops, at
cents each?
6. Frank bought 9 lemons, at 7 cents each : how muc
did they cost?
7. If a boy travel 8 miles in 1 hour, how fer will 1
travel in 9 hours?
8. How many cents must be paid for 9 yards of musli
at 9 cents a yard ?
9. In one dime there are 10 cents : how many cents i
P dimes?
MULTIPLICATION. 61
LESSON XLVIIL
10 times 1 are 10
2 times 10 are 20
10 times 2 are 20
3 times 10 are 30
10 times 3 are 30
4 times 10 are 40
10 times 4 are 40
5 times 10 are 50
10 times 5 are 50
6 times 10 are 60
10 times 6 are 60
7 times 10 are 70
10 times 7 are 70
8 times 10 are 80
10 times 8 are 80
9 times 10 are 90
10 times 9 are 90
10 times 10 are 100
1. I bought 10 pencils, at 2 cents each : how much did
they cost?
Solution. — The pencils cost 10 times 2 cents, which are 20 cents.
2. If George earn 3 dollars in 1 week, how much will
he earn in 10 weeks?
3. There are 4 pecks in 1 bushel : how many pecks are
there in 10 bushels ?
4. If a man can eat 5 pounds of bread in 1 week, how
much can he eat in 10 weeks?
5. At 6 dollars a cord, what will 10 cords of wood
cost?
6. If 10 marbles are given for 1 cent, how many must
be given for 7 cents?
7. How many cents will pay for 10 oranges, at 8 cents
each?
8. What will 9 barrels of flour cost, at 10 dollar^ a
barrel ?
9. At 10 dollars a yard, how much will 10 yards of
cbtb coat?
62
RATS NEW PRIMARY ARITHMETIC.
LBSSON XT.TX.
REVIEW. *
1. How many are 2 times 5?
Solution. — 2 times 6 are 10.
2.
How many
are
3 times
4?
2 times
9?
3.
How many
are
10 times
2?
3 times
3?
4.
How many
are
4 times
2?
5 times
4?
5.
How many
are
8 times
2?
2 times
2?
6.
How many
are
3 times
10?
5 times
6?
7.
How many
are
6 times
2?
8 times
3?
8.
How many
are
4 times
10?
7 times
3?
9.
How many
are
7 times
4?
5 times
5?
10.
How many
are
3 times
5?
6 times
3?
11.
How many
are
4 times
9?
6 times
4?
12.
How many
are
9 times
3?
4 times
8?
13.
How many
are
4 times
4?
9 times
5?
14.
How many
are
5 times
7?
10 times
8?
15.
How many
are
8 times
6?
7 times 10?
16.
How many
are
6 times
6?
3 times
8?
17.
How many
are
9 times
7?
6 times
9?
18.
How many
are
5 times
8?
7 times
7?
19.
How many
are
10 times
5?
6 times
10?
20.
How many
are
7 times
G?
9 times
10?
21.
How many
are
8 times
7?
9 times
9?
22.
How many
are
8 times
9?
10 times
10?
23.
How many
are
3 times
2?
7 times
2?
24.
How many
are
5 times
3?
6 times
7?
-25.
How many
are
3 times
8?
9 times
6?
^6.
How many
are
8 times
5?
7 times
9?
27, How many
are
10 times
^•l
^ \!Y\£k!^
'^'V
MULTIPLICATION. 53
28. How many are 2 times 3 times 3?
Solution. — 3 times 3 are 9; 2 times 9 are 18.
29. How many are 4 times 2 times 2?
30. How many are 2 times 3 times 4?
31. How many are 2 times 2 times 5?
32. How many are 5 times 2 times 3?
33. How many are 3 times 2 times 6?
34. How many are 2 times 2 times 6?
35. How many are 2 times 3 times 7?
36. How many are 2 times 2 times 7?
37. How many are 4 times 2 times 8?
38. How many are 3 times 3 times 4?
39. How many are 2 times 4 times 6?
40. How many are 2 times 2 times 10?
41. How many are 3 times 2 times 10?
42. How many are 4 times 2 times 5?
43. How many are 4 times 2 times 4?
44. How many are 3 times 2 times 8?
45. How many are 4 times 2 times 10?
46. How many are 2 times 5 times 7?
47. How many are 3 times 3 times 10?
48. How many are 5 times 2 times 8?
49. How many are 2 times 5 times 9?
50. How many are 5 times 2 times 6?
51. How many are 2 times 3 times 9?
52. How many are 2 times 2 times 9?
53. How many are 3 times 3 times 5?
54. How many are 3 times. 3 times 6?
55. How many are 2 times 5 times 10?
56. How many are 4 times 2 times 9?
57. How many are 3 times 3 times 7?
58. How many are 3 timea ^ Mykl'S!^ ^*l
64
KAY'S NEW PRIMAKY ARITHMETIC.
LBSSON L.
REVIEW.
1. How many are 2 and 5, less 4, multiplied by i
SoLUTiOK. — 2 and 5 are 7; 7 less 4 are 8; 8 multiplied by 3 is 9
2. How
3. How
4. How
5. How
6. How
7. How
8. How
9. How
10. How
11. How
12. How
13. How
14. How
15. How
16. How
17. How
18. How
many are
many are
many are
many are
many are
many are
many are
many are
3 and
4 dnd
5 and
6 and
7 and
8 and
2 and
3 and
many
many
many
many
many
many
many
many
many
are 4
are 5
are 6
are 7
are 8
are 2
are 4
are- 3
are 5
and
and
and
and
and
and
and
and
and
19. How many are
20. How many are
21. How many are
22. How many are
23. How many are
24. How many are
25. How many are
^d How many arc
2T, How many are
and
and
and
and
and
and
6 and
6 and
4 and
2
3
7
2
3
4
5,
less 4,
6,
less 5,
5,
less 4,
5,
less 4,
6,
less 5,
7,
less 6,
6,
less 5,
6,
less 5,
7,
less 6,
7,
less 6,
6,
less 5,
7,
less 6,
8,
less 7,
7,
less 6,
8,
less 7,
7,
less 6,
8,
less 7,
8,
less 7,
9,
less 8,
10,
less 9,
9,
less 8,
8,
less 7,
10,
less 9,
10,
less 9,
8.
, less 7,
multiplied
multiplied
multiplied
multiplied
multiplied
multiplied
multiplied
multiplied
by 2
by IC
by 7
by 7
by A
by 2
by A
by 7
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
multiplied by
9, \es» %, m\3\\:\^\\^^ Vj
p
«<
^
2
c
t.
c
«
<
«
REVIEW. 55
LESSON LL
PROMISCUOUS QUESTIONS.
1. Joseph had 14 cents, and hought 2 oranges, at 5
cents each: how much money had he left?
Solution. — Joseph paid for the oranges 2 times 5 cents, which are
10 cents; he had left 14 cents, less 10 cents, which are 4 cents.
2. James bought a calf for 8 dollars, and 3 sheep, at 4
dollars apiece : how much did he pay for all ?
3. George owed me 19 cents: he gave me 2 oranges,
worth 5 cents each, and the remainder in money: how
much money did I get?
4. I bought 2 yards of cloth, at 4 dollars a yard, and
3 yards, at 2 dollars a yard : how much did all cost?
5. A boy worked 4 weeks, at 4 dollars a week: he
spent 5 dollars for a coat, and 2 dollars for a hat : how
much money had he left?
6. A man can dig 6 bushels of potatoes in one hour,
and a boy 3 bushels : how many bushels can both dig in
8 hours?
7. A farmer has 9 hogs : 4 of them die, and he sells
the rest at 10 dollars apiece: how much did he get for
them ?
8. Mary had 8 j&ve-cent pieces, and lost 5 of them:
how many cents had she left ?
9. A blacksmith shod 7 horses in one day, putting a
shoe on each foot: how many shoes did he use?
10. Kate received 10 cents one day, and 8 cents another:
she then spent 4 cents for apples and 5 cents for candy,
after which her father gave her six times as much as she
had left: how much did her feOcL^T ^n^ \>kfcx*l
In the picture you can coant five wild geese and
twenty duclss.
1. If twenty ducks wore divided into four flocks, each
having the same number, how many ducIsB would there
bo in each flock?
2. How many times is 5 contained in 20?
3. If fivo wild geese have ten wings, how many wings
has each goose?
4. How many times is 5 contained in 10?
5. Thcro arc four full-blown flowers on two branches:
bow many on eiteh branch?
ISO)
1
1
r
i
DIVISION.
f
TiTHSSON T.TTT.
2 in
2, 1 time
6
in
12,
2 times
' 2 in
4, 2 times
2
in
14,
7 times
2 in
6, 3 times
7
in
14.
2 times
3 in
6, 2 times
2
in
16,
8 times
2 in
8, 4 times
8
in
16,
2 times
4 in
. 8, 2 times
2
in
18,
9 times
2 in
10, 5 times
9
in
18,
2 times
5 in
10, 2 times
2
in
20,
10 times
2 in
12, 6 times
10
in
20.
2 times
67
1. How many apples, at 2 cents each, can you buy for
4 cents?
Solution. — You can buy as many apples as 2 cents are contained
times in 4 cents, which are 2 times. Hence you can buy 2 apples.
2. How many marbles, at 2 cents each, can you buy
for 6 cents?
3. How many lemons, at 4 cents each, can you buy for
8 cents?
4. How many peaches, at 5 cents each, can you buy for
10 cents?
5. How many yards of ribbon, at 2 cents a yard, can
you buy for 12 cents?
6. How many oranges, at 7 cents each, can you buy
for 14 cents?
7. How many tops, at 2 cents each, can you buy for
16 cents?
8. How many kites, at 9 cents each, can you buy for
18 cents?
9. How many books, at 10 cents apiece, can you buy
for 20 cents ?
58
RAY'S NEW PRIMARY ARITHMETIC.
liESSOK lilV.
3 in 3, 1 timo
3 in 6, 2 times
2 in 6, 3 times
3 in 9, 3 times
3 in 12, 4 times
4 in 12, 3 times
3 in 15, 5 times
5 in 15, 3 times
3 in 18, 6 times
6
in 18,
3
in 21,
7
in 21,
3
in 24,
8
in 24,
3
in 27,
9
in 27,
3
in 30,
10
in 30,
3 times
7 times
3 times
8 times
3 times
Q times
3 times
10 times
3 times
1. If you have 6 balls, how many groups, of 3 balls
each, can you make out of them ?
SoLiTTiOK. — ^You can make as many groups as 3 balls are contained
times in 6 balls, which are 2 times. Hence you can make 2 groups.
2. Jane paid 9 cents for ribbon, at 3 cents a yard : how
many yards did she get?
3. When pears are 4 cents each, how many can you
buy for 12 cents?
4. In one yard there are 3 feet: how many yards are
there in 15 feet?
5. If one orange is worth 3 lemons, how many oranges
can you get for 18 lemons?
6. I have 21 marbles in groups of 7 each : how many
groups are there?
7. How much cloth, at 8 dollars a yard, can you buy
for 24 dollars?
8. For 27 cents, I bought 9 peaches: how much did
one peach cost?
9. How many 3-cent postage-stamps can you buy for
S(^ cents?
1
•
DIVISION.
T.ERflON LV.
4
in 4,
1 time
6
in
24,
4 times
4
in 8,
2 times
4
in
28,
7 times
2
in 8,
4 times
7
in
28,
4 times
4
in 12,
3 times
4
in
32,
8 times
^
in 12,
4 times
8
in
32,
4 times
^
in 16,
4 times
4
in
36,
9 times
/ *
in 20,
5 times
9
in
36,
4 times
'^
in 20,
4 times
4
in
40,
10 times
4
in 24,
6 times
10
in
40,
4 times
59
1. How many oranges, at 4 cents each, can you buy
for 8 cents?
Solution. — Tou can buy as many oranges as 4 cents are contained
times in 8 cents, which are 2 times. Hence you can buy 2 oranges.
2. There are 4 quarts in one gallon : how many gallons
are there in 12 quarts ?
3. If 16 apples be divided equally among 4 .boys, how
many will each have?
4. There are 20 scholars sitting on 4 benches: how
many scholars on each bench?
5. If 4 sheets of paper make one copy-book, how many
copy-books will 24 sheets make?
6. If one top cost 7 cents, how many tops can be bought
for 28 cents ?
7. At 4 cents each, how many peaches can you buy for
32 cents ?
8. At 9 cents each, how many cakes can you buy for
36 cents?
9. If a spelling-book cost 10 cents, how many spelling'
book$ c»n yon buy for 40 ceii\^1
60
RATS NEW PRIMARY ARITHMETIC.
•
T.F«RON LVI.
5 in 5,
1 time
6 in 30,
5 times
5 in 10,
2 times
5 in 35,
7 times
2 in 10,
5 times
7 in 35,
5 times
5 in 15,
3 times
6 in 40,
8 times
3 in 15,
5 times
8 in 40,
5 times
5 in 20,
4 times
5 in 45,
9 times
4 in 20,
5 times
9 in 45,
5 times
5 in 25,
5 times
5 in 50,
10 times
5 in 30,
6 times
10 in 50,
5 times
1. How many oranges, at 5 cents each, can you buy
for 10 cents?
Solution. — You can buy as many oranges as 5 cents are contained
times in 10 cents, which are 2 times. Hence you can buy 2 oranges.
2. How many pencils, at 3 cents each, can you buy for
15 cents?
3. How. many toy -books, at 4 cents each, can you buy
for 20 cents?
4. How many pears, at 5 cents each, can you buy for
25 cents?
5. How many melons, at 6 cents each, can you buy for
30 cents?
6. In one week there are 7 days : how many weeks in
35 days?
7. How many cakes, at 8 cents each, can you buy for
40 cents?
8. How many tops, at 5 cents each, can you buy for 45
cents?
9. How many slates, at 5 cents each, can bQ bought for
50 cents?
DIVISION.
LESSON LVn.
•
6 in 6,
1 time
6 in
36,
6 times
6 in 12,
2 times
6 in
42,
7 times
2 in 12,
6 times
7 in
42,
6 times
6 in 18,
3 times
6 in
48,
8 times
3 in 18,
6 times
8 in
48,
6 times
6 in 24,
4 times
6 in
54,
9 times
4 in 24,
6 times
9 in
54,
6 times
6 in 30,
5 times
6 in
60,
10 times
5 in 30,
6 times
10 in
60,
6 times
61
1. How many quarts of milk, at 6 cents a quart, can
you buy for 12 cents?
Solution. — ^You can buy as many quarts as 6 cents are contained
times in 12 cents, which are 2 times. Hence you can buy 2 quarts.
2. How many oranges, at 6 cents each, can you buy
for 18 cents?
3. There are 24 trees in 6 rows: how many trees in
each row?
4. How many pears, at 5 cents each, can you buy for
30 cents ?
5. How many pounds of flour, at 6 cents a pound, can
be bought for 36 cents?
6. How many lemons, at 7 cents each, can you buy for
42 cents ?
7. How many pencils, at 8 cents each, can you buy for
48 cents?
8. How many rings, at 6 dimes each, can you buy for
54 dimes?
9. A farmer sold 6 loads of hay for 60 dollars : what
did he get for each load*^
62
RAY'S NEW PRIMARY ARITHMETIC.
7 in 7,
7 in 14,
2 in 14,
7 in 21,
3 in 21,
7 in 28,
4 in 28,
7 in 35,
5 in 35,
1 time
2 times
7 times
3 times
7 times
4 times
7 times
5 times
7 times
.VITI.
7 in 42,
6 times
6 in 42,
7 times
7 in 49,
7 times
7 in 56,
8 times
8 in 56,
7 times
7 in 63,
9 times
9 in 63,
7 times
7 in 70,
10 times
10 in 70,
7 times
1. If you divide 14 apples into piles, containing 7 ap-
ples each, how many piles will there be ?
Solution. — ^There will be as many piles as 7 apples are contained
times in 14 apples, which are 2 times. Hence there will/be 2 piles.
2. If a pine-apple coat 7 cents, how many pine-apples
can you buy for 21 cents ?
3. At 7 cents each, how many melons can be bought
for 28 cents?
4. If 7 boys share 35 peaches equally, how many will
each boy receive?
5. A man traveled 42 miles in 6 hours : how far did he
travel in 1 hour?
6. I paid 49 cents for 7 quarts of strawberries: how
much did I pay a quart?
7. There are 56 trees in 8 rows : how many trees are
there in one row?
8. At 9 cents a yard, how many yards of muslin can
you buy for 63 cents ?
9. I paid 70 dollars for 7 calves : how much did I pay
i&r each calf?
DIVISION.
63
LB^hOK LIX.
8 in
8 in
2 in
8 in
3 in
8 in
4 in
8 in
5 in
8, 1
16, 2
16, 8
24, 3
24, 8
32, 4
32, 8
40, 5
40, 8
time
times
times
times
times
times
times
times
times
8 in 48,
6 times
6 in 48,
8 times
8 in 56,
7 times
7 in 56,
8 times
8 in 64,
8 times
8 in 72,
9 times
9 in 72,
8 times
8 in 80,
10 times
10 in 80,
8 times
I. If in one peck there are 8 quarts, how many pecks
) there in 16 quarts?
OLUTION. — ^There are as many pecks as 8 quarts are contained
es in 16 quarts, which are 2 times. Hence there are 2 pecks.
I, If one orange is worth 8 apples, how many oranges
I you get for 24 apples?
J. How many pencils, at 4 cents each, can you buy for
cents ?
I-. If 5 yards of calico cost 40 cents, how much will
3 yard cost?
). If one cane cost 8 dimes, how many canes can be
ight for 48 dimes?
). At 7 cents each, how many tops can you buy for 56
its?
r. If one peach is worth 8 plums, how many peaches
I 64 plums worth?
I. Harry paid 72 cents for 9 pears : how much did he
p" for each?
). I gave 80 cents for 8 toy-books: what did they
it apiece?
64
RAY'S NEW PRIMARY ARITHMETIC.
LESSON LX.
9 in 9,
1 time
9
in
54,
6 times
9 in 18,
2 times
6
in
54,
9 times
2 in 18,
9 times
9
in
63,
7 times
9 in 27,
3 times
7
in
63,
9 times
3 in 27,
9 times
9
in
72,
8 times
9 in 36,
4 times
8
in
72,
9 times
4 in 36,
9 times
9
in
81,
9 times
9 in 45,
5 times
9
in
90,
10 times
5 in 45,
9 times
10
in
90,
9 times
1. At 9 cents each, how many pencils can you buy for
18 cents?
Solution. — You can buy as many pencils as 9 cents are contained
times in 18 cents, which are 2 times. Hence you can buy 2 pencils.
2. If 3 pounds of meat cost 27 cents, how much will
one pound cost?
3. Melons were sold at the rate of 4 for 36 cents : how
much was that apiece?
4. A father divided 45 cents equally among his 5 chil-
dren : how much did each child get ?
5. Mary gave 54 cents for 9 spools of thread: how
much did she give for each spool?
6. A boy rode 63 miles in 7 hours : how many miles
did he ride in one hour?
7. At 9 cents a yard, how many yards of ribbon can
you buy for 72 cents?
8. If 81 blocks be placed in 9 rows, how many blocks
will there be in each row?
9. How iimny books, at 10 cents each, can you buy for
PO cents ?
DIVISION.
LESSON T.XT
10 in 10,
1 time
10
in
60,
6 times
10 in 20,
2 times
6
in
60,
10 times
2 in 20,
10 times
10
in
70,
7 times
10 in 30,
3 times
7
in
70,
10 times
3 in 30,
10 times
10
in
80,
8 times
10 in 40,
4 times
8
in
80,
10 times
4 in 40,
10 times
10
in
90,
9 times
10 in 50,
5 times
9
in
90,
10 times
5 in 50,
10 times
10
in
100,
10 times
66
1. How many melons, at 10 cents each, can you buy
for 20 cents ?
■
Solution. — You can buy as many melons as 10 cents are contained
times in 20 cents, which are 2 times. Hence you can buy 2 melons.
2. If a quince is worth 10 apples, how many quinces
can you get for 30 apples?
3. At 4 cents each, how many pears can you buy for
40 cents?
4. At 10 cents each, how many oranges can be bought
for 50 cents?
5. I paid 60 cents for eggs, at 10 cents a dozen: how
many dozens did I get?
6. How many coats, at 10 dollars each, can be bought
for 70 dollars ?
7. How many kites, at 8 cents each, can I buy for 80
cents?
8. How many balls, at 10 cents each, can be bought
for 90 cents ?
9. In one dime there are 10 cents: how many dimes
are there in 100 cents?
Pri. &
66
RAY'S NEW PRIMARY ARITHMETIC.
LESSON LXII.
REVIEW.
State how many times the first numbers in the follow-
ing table are contained in the second.
2 in
4He
4 in
12
4
in
32
5 in
35
9
in 54
2 in
8
3 in
18
5
in
30
6 in
42
7
in 63
3 in
6
2 in
20
6
in
18
4 in
40
8 :
in 64
5 in
10
10 in
30
7
in
28
8 in
40
9 ;
in 63
3 in
27
6 in
12
8
in
32
10 in
50
10 ]
in 40
5 in
20
9 in
27
8
in
16
7 in
42
6 ]
in 60
10 in
70
4 in
16
3
in
30
2 in
18
4 ]
in 20
2 in
10
6 in
24
4
in
24
5 in
45
9 1
in 36
10 in
20
7 in
21
5
in
15
10 in
60
6 ]
in 48
3 in
9
3 in
21
9
in
18
8 in
48
8 i
m 72
6 in
36
10 in
80
8
in
24
10 in
90
9 1
in 72
4 in
8
2 in
16
7
in
35
7 in
49
7 ]
m 70
2 in
12
5 in
25
6
in
30
5 in
50
9 ]
m 81
3 in
15
4 in
28
5
in
40
6 in
54
8 i
in 80
2 in
14
3 in
24
9
in
45
9 in
90
8 i
in 56
3 in
12
7 in
14
4
in
36
7 in
56
10 ]
in 100
•Solution. — 2 is contained in 4 two times.
1. How many are 10 and 4, less 8, multiplied by 3,
divided by 9?
Solution. — 10 and 4 are 14; 14 less 8 ^re 6; 6 multiplied by 3
is 18; 18 divided by 9 is 2.
^. Sow many are 9 and 9, less 10, multiplied by 3,
divided by 6 ?
REVIEW.
67
. How many are 3 and 6
divided by 4?
. How many are 2 and 10
divided by 8?
. How many are 10 and 6
divided by 7?
. How many ar« 3 and 5
divided by 6?
. How many are 2 and 5
divided by 6?
. How many are 10 and 7
divided by 9?
. How many are 2 and 4
divided by 3?
. How many are 4 and 7
divided by 5?
. How many are 6 and 4
divided by 7?
. How many are 3 and 10
divided by 5?
. How many are 6 and 9
divided by 5?
. How many are 10 and 8
divided by 9?
. How many are 8 and 7
divided by 6?
. How many are 5 and 9
divided by 10?
. How many are 3 and 10
divided by 8?
. How many are 6 and 3
divided by 4?
. How many are 9 and 5
divided by 8?
less 7, multiplied by 8,
less 4, multiplied by 7,
less 9, multiplied by 5,
less 2, multiplied by 5,
less 3, multiplied by 9,
less 8, multiplied by 6,
less 3, multiplied by 7,
less 6, multiplied by 8,
less 3, multiplied by 9,
less 8, multiplied by 9,
less 10, multiplied by 10,
less 9, multiplied by 10,
less 6, multiplied by 4,
less 8, multiplied by 5,
less 5, multiplied by 4,
less 4, multiplied by 8,
less 10, multiplied by S^
68 RAY'S NEW PRIMARY ARITHMETIC.
LESSON LXm.
1. If 4 pens cost 8 cents, how much will one pen cost?
If one pen cost 2 cents, how much will 6 pens cost ?
2. If 6 peaches cost 24 cents, how much will one peach
cost? If one peach cost 4 cents, how much will 9
peaches cost?
3. If 4 dozen eggs cost 20 cents, how much will 6
dozen cost?
Solution. — If 4 dozen eggs cost 20 cents, 1 dozen eggs will cost
as many cents as 4 is contained times in 20, which are 5; and 6 dozen
will cost 6 times 5 cents, which are 80 cents.
4. If 3 lead-pencils cost 18 cents, how many cents will
5 pencils cost?
5. If 4 pine-apples cost 32 cents, how many cents will
5 pine-apples cost?
6. If 3 quarts of berries cost 21 cents, how many
cents will 7 quarts cost?
7. What will 63 marbles cost, if 14 marbles cost 2
cents?
8. Henry spends 32 cents for pears, at 4 cents apiece,
and 20 cents for pears, at 5 cents apiece: how many
pears does he buy?
9. Sarah spends 50 cents for lemons, at 5 cents apiece,
and gives 6 of them to her sister : how many lemons
has she left?
10. Mary bought 7 cents worth of thread, and 10 cents
worth of needles, giving the clerk 25 cents: how much
change did she get?
11. I bought 4 pencils, at 3 cents each, and gave the
clerk 3 £ve-cent pieces ; how many cents should I receive
In change?
SIGNS. 69
LESSON liXnr.
The sign -f is read pluSj and is placed between two
numbers to show that they are to be added together.
The sign — is read mintis, and is placed between two
numbers to show that the number on the right is to be
taken from the number on the left.
The sign X is read multiplied hy^ and is placed between
two numbers to show that the number on the left is to
be multiplied by the number on the right.
The sign -=- is read divided by, and is placed between
two numbers to show that the number on the left is to
be divided by the number on the right.
The sign =: is read equals, or is equal to, and, when
placed between two numbers, shows that they are equal.
1. 11 +
1—?
Solution. — 11 plus 1 equals 12.
2. 2 +
11—?
11+ 3=?
4 + 11=?
11+ 5=?
6 +
11—?
11+ 7=?
8 + 11—?
11+ 9—?
10 +
11—?
3. 12 +
1=?
2 + 12—?
12+ 3—?
4+12=?
12 +
6—?
6 + 12—?
12+ 7=?
8 + 12=?
12 +
9—?
10 + 12 — ?
4. 13 +
1—?
2 + 13—?
13+ 3=?
4 + 13=?
13 +
5—?
6 + 13—?
13+ 7—?
8 + 13=?
13 +
9—?
10 + 13—?
6. 14 +
1—?
2 + 14—?
14+ 3—?
4 + 14=?
14 +
5—?
6 + 14=?
14+ 7—?
8 + 14=?
14 +
9—?
10 + 14—?
6. 15 +
1— ?
2 + 15—?
15+ 3—?
4+15=?
15 +
5—?
6 + 15 — ?
15+ 7=?
8 + 15=?
15 +
9 = ?
10 + IB =1
70 BAY'S NEW PRIMARY ARITHMETIC.
LBSSOH LXV.
1. How many are 16+ 1? 2+16? 16+ 3? 4+16?
16+ 5? 6 + 16? 16+ 7? 8 + 16? 16+ 9?
10+16?
i How many are 17+ 1? 2 + 17? 17+ 3? 4+17?
17+ 6? 6 + 17? 17+ 7? 8 + 17? 17+ 9?
10+17?
3. How many are 18+ 1? 2 + 18? 18+ 3? 4+18?
18+ 6? 6 + 18? 18+ 7? 8 + 18? 18+ 9?
10+18?
4. How many are 19+ 1? 2 + 19? 19+ 3? 4+19?
19-j_ 5? 6 + 19? 19+ 7? 8 + 19? 19+ 9?
10 + 19?
5. How many are 20+ 2? 4+30? 40+ 6? 8 + 50?
60+10? 3+70? 80+ 6? 7 + 90? 90+ 9?
6. How many are 21+ 2? 31+ 4? 6+41? 41+ 8?
10+41? 3 + 61? 61+ 5? 7 + 71? 81+ 9?
9 + 91?
7. How many are 22+ 2? 4+32? 42+ 6? 8 + 52?
62 + 10? 3 + 72? 82+ 5? 7 + 92? 92+ 8?
8. How many are 23+ 2? 4+33? 43+ 6? 8 + 53?
63 + 10? 3 + 73? 83+ 5? 7+93?
9. How many are 24+ 2? 4+34? 44+ 6? 8 + 54?
64+10? 3 + 74? 84+ 6? 6 + 94?
10. How many are 25+ 2? 4 + 35? 45+ 6? 8 + 55?
65 + 10? 3 + 75? 85+ 6? 5 + 95?
11. How many are 26+ 2? 4+36? 46+ 6? 8 + 56?
66 + 10? 3 + 76? 86+ 5? 4+96?
12. How many are 27+ 2? 4+37? 47+ 6? 8 + 57?
67 + 10? 3 + 77? 87+ 5? 3 + 97?
13. How many are 28+ 2? 4 + 38? 48+ 6? 8 + 58?
68+10? 3 + 78? 8S-V ^'i ^^^^^
REVIEW. 71
LBSSON LXVL
1. How many aro 29+ 2? 4+39? 49+ 6? 8 + 59?
69 + 10? 3 + 79? 89+ 6? 7 + 89?
2. How many are 24+ 3? 34+ 5? 44+ 7? 54+ 9?
64+ 2? 74+ 4? 84+ 6? 85+ 8?
3. How many are 25+ 6? 3 + 35? 45+ 5? 7 + 56?
♦ 65+ 9? 2 + 75? 85+ 4? 8+86?
4. How many are 26+ 6? 8 + 36? 46+ 3? 5 + 56?
66+ 7? 9 + 76? 86+ 2? 4 + 87?
5. How many are 27+ 7? 5 + 37? 47+ 3? 2 + 57?
67+ 4? 6 + 77? 87+ 8? 10 + 88?
6. How many are 27+ 9? 8 + 28? 38+ 5? 9+48?
68+ 7? 2 + 68? 78+ 4? 6 + 88?
7. How many are 27 + 10? 8 + 29? 39+ 9? 7 + 49?
59+ 5? 6 + 69? 79+ 2? 4 + 89?
8. How many are 23+ 3? 5 + 33? 43+ 7? 9 + 53?
63+ 2? 4+73? 83+ 6? 6 + 93?
9. How many are 24+ 5? 2 + 34? 44+ 4? 6 + 54?
64+ 8? 9 + 74? 84+ 7? 4+94?
10. How many are 35+ 6? 10 + 45? 65+ 9? 8 + 65?
75+ 7? 6 + 85? 95+ 3? 2 + 96?
11. How many are 26+ 8? 6 + 36? 46+ 4? 10 + 56?
66+ 8? 7 + 76? 86+ 6? 4+95?
12. How many are 27+ 5? 3 + 37? 47+ 7? 5 + 57?
67+ 9? 7 + 77? 87 + 10? 92+ 6?
13. How many are 28+ 7? 9 + 38? 48+ 8? 6 + 58?
68+ 9? 5 + 78? 88+ 7? 9 + 88?
14. How many are 29+ 9? 7 + 39? 49+ 8? 6 + 59?
69+ 3? 4+79? 89+ 2? 8 + 91?
15. How many are 27+ 8? 6 + 37? 47+ 4? 7 + 67?
67+ 8? 2 + 77? 87+ 9? 78+ 9? 8 + 79?
89+ 7?
72 BATS NBW PKIMARY ARITHMETIC.
IiBSSON Lxvn.
1. I had 15 cents, and Charles gave me 5 more: how
many cents had I then?
2. My slate cost 12 cents, and my primer, 10 cents:
how much did both cost?
3. Mary paid 20 cents for a reader, and 5 cents for a
pencil: how much did she pay for both? *
4. Frank's coat cost 14 dollars, and his boots 5 dollars:
how much did both cost?
5. Harry is 12 years old, and Susan is 9: how many
years in both their ages?
6. Frank had 16 cents, and his aunt gave him 9 more:
how many cents did he then have?
7. John owes me 13 cents, and Samuel, 10 cents: how
much do both owe me?
8. I bought a whip for 18 cents: at what price must
I sell it to make 6 cents?
9. Harvey is now 17 years old : in 10 years from this
time, how old will he be?
10. In a school, there are 19 boys and 10 girls : how
many pupils in the school ?
11. Mary had 36 chickens, and she bought 4 more:
how many had she then?
12. Oliver had 17 ducks, and his mother gave him 4
more : how many had he then ?
13. Cora spent 47 cents for books, and 4 cents for pens :
how much did she spend?
14. Edwin has 8 oranges more than Anna, and Anna
has 19 : how many has Edwin ?
15. George bought a sled for 27 cents, and paid 5 cents
to have it repaired : how much did the sled cost him ?
16. Forty and 10 are how many^l
REVIEW. 73
LESSON LXVm.
1. Thomas had 15 marbles, and lost 4 : how many had
he then ?
2. Oscar had 16 cents, and spent 3: how many had
he left?
3. Daniel, having 17 plums, gave his sister 4 of them :
how many did he then have?
4. Charles bought 18 peaches, and gave 5 to a poor
man: how many had he left?
5. Six and how many make 19? 7 and how many
make 20?
6. K you have 20 cents, and spend 6, how many will
you have left?
7. Sarah had 31 needles, and lost 2: how many had
she left?
8. A boy had 33 chickens, and sold 4 : how many had
he remaining?
9. Lucy had 35 eggs, and broke 6 of them : how many
had she then ?
10. Henry had 10 cents, and his mother gave him
enough more to make 40 cents: how much did she give
him?
11. "William had 56 cents, and spent all but 7 of them
for school-books: how many cents did he spend?
12. Frank gathered 43 quarts of chestnuts: after sell-
ing part of them, he had only 8 quarts left: how many
quarts did he sell?
13. Harry Lee owed me 53 cents: he has paid me 6
cents : how many cents does he yet owe me ?
14. Thomas had 43 marbles, and gave 10 of them to
his brother Charles: how many had he remaining?
15. How many are 65 lesa ^1
74 RAY'S NEW PBIMARY ARITHMETIC.
LBSSON liXIX.
1. How many are 5+9+ 3 — 4?
Solution. — 5 plus 9 plus 8 minus 4, equals 18.
2. How many are 6 + 10+ 4 — 3?
3. How many are 4+ 9+ 5 — 6?
4. How many are 7 + 4 + 10 — 3?
5. How many are 10+ 9+ 8 — 4?
6. How many are 9+8+8 — 6?
7. How many are 4+ 9+ 7 — 6?
8. How many are. 9+ 6+ 8 — 7?
9. How many are 9+7+ 8 — 4?
10. How many are 18+ 8 + 10 — 9?
11. How many are 9+ 9+ 9 — 3?
12. How many are 13 + 10 + 3 — 4?
13. How many are 17 + 9+ 2 — 7?
14. How many are 11 + 10 + 9 — 5?
15. How many are 21+8+ 8 — 7?
16. How many are 19+ 9+ 6 — 5?
17. How many are 10+ 8+ 6 — 9?
18. How many are 18+ 9 + 10 — 6?
19. How many are 21 + 9 + 10 — 8?
20. How many are 17 + 10+ 8 — 9?
21. How many are 20 + 10+ 4 — 6?
22. How many are 30+6+ 4 — 7?
23. How many are 39 + 4+ 8 — 6?
24. How many are 47+6+ 9 — 7?
25. How many are 54 + 9 + 10 — 8?
26. How many are 50+3+ 7 — 4?
27. How many are 68+ 8 + 10 — 6?
28. Sow many are 80+4+ 5 — 6?
29. Sow many are 84+4+ %— 1*1
BEVIEW. 75
LESSON TiXX.
1. Frank had 19 cents, and spent 5 : how many cents
had he left?
2. Henry had 25 cents : he spent 4 cents* for a top, and
6 cents for a kite: how many cents has he left?
3. Mother gave me 15 cents, and father gave me enough
more to make 25 cents: how much did father give me?
4. I had 22 oranges: I gave 4 to brother Charles, and
6 to sister Mary: how many did I give away, and how
many did I have left?
5. Thomas had 45 cents: he paid 5 cents for ink,
and 10 cents for a copy-book: how many cents had he
left?
6. My uncle gave me 35 cents: I bought a pen-knife
for 20 cents, and a spelling-book for 10 cents : how many
cents had I left?
7. Frank had 40 cents: he paid 10 cents for three
oranges, and 18 cents for five lemons: how many cents
has he remaining?
8. Charles is 4 years old, and his father is 32 years
old : in how many years will Charles be as old as his
father is now?
9. I paid 75 cents for a pair of skates, and 10 cents
for a book : how much more did the skates cost than the
book?
10. Harry had 40 cents given him on Christmas day:
he spent 10 cents for toj^s, and 26 cents for books : how
many cents had he remaining?
11. Mary had 50 cents : she gave 25 cents for a reader,
10 cents for a slate, and 5 cents for a sponge: how
many cents did she pay for all, and how many had she
left?
76 RAY'S NEW PRIMARY ARITHMETIC.
LESSON T.XXT.
1. How many are 3 X 4 — 5 ?
Solution. — 3 multiplied by 4 equals 12, and 12 minus 5 equals 7,
2. How many are 6x6—7? 7x7—8?
3. How many are 9x 9 — 10? 3x 5—4?
4. How many are 4x 6—6? 3x4—8?
5. How many are 8 X 5 — 10? 6x3—2?
6. How many are 6x 8— 4? 6x10— 3?
7. How many are 6x10— 7? 9x 4— 6?
8. How many are 7x6—3? 4x8—5?
9. How many are 2 X 10— 5? 9 X 7 — 10?
10. How many are 10 X 3— 8? 8x9—5?
11. How many are 2x3—4? 4x6—3?
12. How many are 6x2—5? 3x 8— 7?
13. How many are 2X 4— 8? 9X 6 — 10?
14. How many are 10 X 7— 2? 2x6—3?
16. How many are 3x9—7+1?
16. How many are 10 X 9— 8+ 6?
17. How many are 8x8—9+2?
18. How many are 3x7—3+5?
19. How many are 5x6—9+4?
20. How many are 5x7—6+7?
21. How many are 10 X 4— 6+ 3?
22. How many are 7 X 4— 3+8?
23. How many are 2x9—7 +
24. How many are 5 X 9 — 6 +
25. How many are 8x7—9 +
26. How many are 2 X 2 — 4 +
^Z How many are 2 X 7 - " '
£d Mow many are 10 X 1^^ -
9?
1?
6?
4+10?
9+ 5?
BBVIEW. 77
LBssoN T,xyn,
1. Pour are how many times 2?
Solution. — 4 are 2 times 2.
2. Six are how many times 2? How many times 3?
3. Eight are how many times 2? How many times 4?
4. Nine are how many times 3?
5. Ten are how many times 2? How many times 5?
6. Twelve are how many times 2? How many times
3? 4? 6?
7. Fourteen are how many times 2? How many
times 7?
8. Fifteen are how many times 3? How many times 5?
9. Sixteen are how many times 2? How many tinies
4? 8?
10. Eighteen are how many times 2? How many times
3? 6? 9?
11. Twenty are how many times 2 ? How many times
4? 5? 10?
12. Twenty-one are how many times 3? How many
times 7?
13. Twenty-four are how many times 3? How many
times 4? 6? 8?
14. Twenty-five are how many times 5?
15. Twenty-seven are how many times 3 ? How many
times 9?
16. Twenty-eight are how many times 4? How many
times 7?
17. Thirty are how many times 3? How many times
6? 6? 10?
18. Thirty-two are how many times 4? How many
times 8?
78 * BAY'S NEW PRIMARY ARITHMETIC.
ijffisON T.xxm.
1. Thirty-five are how many times 5? How many
timefl 7?
2. Thirty-six are how many times 4? How many
times 6? 9?
3. Forty are how many times 4? How many times 5?
8? 10?
4 Porty-two are how many times 6? How many
times 7?
6. Forty-five are how many times 5? How many
times 9?
6. Forty-eight are how many times 6? How many
times 8?
7. Forty-nine are how many times 7?
8. Fifty are how many times 6? How many times 10?
9. Fifty-four are how many times 6? How many
times 9?
10. Fifty-six are how many times 7? How many
times 8?
11. Sixty are how many times 6? How many times 10?
12. Sixty-three are how many times 7? How many
times 9?
13. Sixty-four are how many times 8?
14. Seventy are how many times 7? How many
times 10?
15. Seventy-two are how many times 8? How many
times 9?
16. Eighty are how many times 8? How many times 10?
17. Eighty-one are how many times 9 ?
18. Ninety are how many times 9 ? How many times
10?
19. One fmndred are how many timi^ \^1
t
REVIEW. 79
LESSON liXXIV.
PROMISCUOUS QUESTIONS.
1. George bought 2 peaches, at 3 cents each, and 2
oranges, at 5 cents each: how many cents did he pay
for all?
2. Edwin has 4 oranges, and Thomas has 3 times as
many as Edwin: how many oranges have both?
3. Anna is 6 years old, and Jane is twice as old as
Anna, and 2 years more : how old is Jane ? How many
years in both their ages?
4. How many pine-apples, at 9 cents each, can you
buy for 27 cents ? for 45 cents ? for 63 cents ? for 72
cents?
5. I bought 10 cents worth of lemons, giving 2 cents
for each lemon : how many lemons did I purchase ?
6. If 3 men can do a certain piece of work in 5 days,
how many men can do the same work in 1 day?
7. If a man can travel 90 miles in 9 hours, how many
miles can he travel in 1 hour? In what time could he
travel 20 miles?
8. Samuel bought 3 books, at 10 cents each, and a toy
for 7 cents : how many cents did he pay for all ?
9. If 4 men can do a certain piece of work in
9 days, in how many days can 1 man do the same
work?
10. If 10 peaches are worth 1 orange, how many
oranges are 60 peaches worth? How many are 80
peaches worth? 100 peaches?
11. I bought 3 pounds of raisins, at 8 cents a pound,
and 2 oranges for 10 cents: how much did all cost?
12. What will 8 cords of wood cost, at seven dollars
4 cord?
80 RAY^S NEW PRIMARY ARITHMETIC.
LESSON LXXV.
1. Charles and Henry had each 10 marbles: Charles
gave 6 of his to Henry: how many did each have then?
2. William Jones owed me 20 cents: he gave me 3
peaches, worth 4 cents each, and an orange, worth 5
cents: how much was then due?
3. I bought 3 oranges, at 5 cents each, and 2 lemons,
at 4 cents each : how many cents did I pay for all ?
4. When 3 lemons were selling for 15 cents, John
gave 1 lemon and 5 cents in money for a book: what
was the value of the book?
5. Harry bought 3 rabbits for 30 cents, and sold them
for 39 cents: how many cents did he gain on the 3
rabbits? On each rabbit?
6. I bought 3 dozen eggs, at 6 cents a dozen, and sold
them at 8 cents a dozen: how much did I make?
7. Frank bought 4 flags, at 10 cents each, and 3, at 3
cents each : how many flags did he buy, and how much
did they cost?
8. John gave 30 cents in money and 3 peaches, worth
5 cents each, for a sled: how much did the sled cost?
9. I paid 25 cents for five pounds of meat, and 10
cents for a melon: how much did I pay for all?
10. Mary bought 3 quarts of chestnuts, at 10 cents a
quart, and a doll for 20 cents: how much did all cost?
11. Frank bought 5 books, at 7 cents each, and sold
them at 9 cents each : how many cents did he make ?
12. I bought 3 dozen pens, at 10 cents a dozen, and
some paper for 18 cents: how much did all cost me?
13. A drover bought 10 sheep, at 3 dollars a head,
and Bold them for 5 dollars a head: how much did he
gain?
REVIEW- 81
LESSON LXXVL
1. James bought 3 lemons, at 2 cents each, and paid
for them with oranges, at 3 cents each: how manj
oranges did it take?
2. Mary bought 3 yards of ribbon, at 4 cents a yard :
how many cents did it cost? She paid for it with two-
cent coins: how many coins did it take?
3. Daniel bought 8 tops, at 2 cents each, and paid for
them with oranges, at 4 cents each: how many oranges
were required?
4. Francis bought 9 marbles, at 2 cents each, and paid
for them with tops, at 3 cents each : how many tops did
it take?
5. Sarah bought 4 thimbles, at 5 cents each, and paid
for them with cherries, at 10 cents a quart: how many
quarts did she give?
6. A man bought 8 yards of cloth, at 3 dollars a yard,
and paid for it with flour, at 4 dollars a barrel: how
many barrels did it take?
7. Thomas bought 3 oranges, at 5 cents each, and paid
for them with chestnuts, at 3 cents a quart: how many
quarts did he give?
8. I bought 4 barrels of flour, at 10 dollars a barrel,
and paid for it with apples, at 5 dollars a barrel: how
many barrels of apples did I give?
9. I bought 3 pounds of raisins, at 8 cents a pound,
and paid for them with melons, at 6 cents each: how
many melons did I give?
10. How many oranges, at 6 cents each, will pay for
10 lemons, at 3 cents each?
11. How many pears, at 8 cents each, would it take to
bnj 4 pine-apples, at 10 ceix\& e&^'l
PtL 6,
82 BAY'S NEW PBIMABY ARITHMETIC.
LBSSON T.XXVIL
1. How many pine-apples, at 10 cents each, will pay
for 5 peaches, at 6 cents each?
2. How many pencils, at 5 cents each, will pay for 4
books, at 10 cents each?
3. How many kites, at 4 cents each, will pay for 6
lemons, at 6 cents each?
4. How many peaches, at 6 cents each, will pay for 4
slates, at 10 cents each?
6. I bought 3 quarts of strawberries, at 10 cents a
quart, and paid for them with chestnuts, at 6 cents a
quart: how many quarts did it take?
6. I bought 5 dozen figs, at 8 cents a dozen, and paid
for them with pears, at 4 cents each; how many pears
did I give?
7. If 4 men can mow a field of grass in 5 days, in
how many days can 10 m^n mow the same field?
8. How much cloth, at 6 dollars a yard, will pay for
4 barrels of flour, at 9 dollars a barrel?
9. How many slates, at P dimes each, will cost as
much as 2 geographies, at 6 dimes each?
10. How many bottles of ink, at 8 cents each, will pay
for 10 oranges, at 4 cents each?
11. How many oranges, at 4 cents each, will pay for
2 books, at 10 cents each?
12. If 6 men can do a piece of work in 8 days, how
long will it take 4 men to perform it?
13. If 7 barrels of flour cost 84 dollars, what will 5
barrels cost?
14. An orchard contains 8 rows of trees, and has 6
trees in each row; if the same number of trees were
placed in 4 rows, how many wou\d \Xx^t^ \i^ Vsx ^ \q^?
BBVIBW. 83
LBSSON T i XX Vm .
1. Begin with 2, and add by 2's to 100.
2. Begin with 100, and subtract by 2's to 0.
3. Begin with 3, and add by 3*8 to 99.
4. Begin with 99, and subtract by 3*s to 0.
6. Begin with 4, and add by 4's to 100.
6. Begin with 100, and subtract by 4*s to 0.
7. Begin with 5, and add by 5*8 to 100.
8. Begin with 100, and subtract by 5*8 to 0.
9. Begin with 6, and add by 6*8 to 96.
10. Begin with 96, and subtract by 6*s to 0.
11. Begin with 7, and add by 7*8 to 98.
12. Begin with 98, and subtract by 7*8 to 0.
13. Begin with 8, and add by 8*8 to 96.
14. Begin with 96, and subtract by 8*8 to 0.
15. Begin with 9, and add by 9*8 to 99.
16. Begin with 99, and subtract by 9*s to 0.
17. Begin with 1, and add by 2*8 to 99.
18. Begin with 100, and subtract by 3*8 to 1.
19. Begin with 1, and add by 3*8 to 100.
20. Begin with 97, and subtract by 4*8 to 1.
21. Begin with 1, and add by 4*s to 97.
22. Begin with 96, and subtract by 5*8 to 1.
23. Begin with 1, and add by 5*8 to 96.
24. Begin with 97, and subtract by 6*8 to 1.
25. Begin with 1, and add by 6*s to 97.
26. Begin with 100, and subtract by 6*8 to 4.
27. Begin with 1, and add by 7*8 to 99.
28. Begin with 100, and subtract by 7*8 to 2.
29. Begin with 1, and add by 8*8 to 97.
30. Begin with 100, and subtract by 8*8 to 4.
31. Be^n with 1, and add by ^'^ \/^ W^*
84 KAY S NEW PRIMARY ARITHMETIC.
TABLES.
LESSON TiXXIX.
V
UNITED STATES MONEY.
10 cents (cts.) make 1 dime : marked d.
10 dimes " 1 dollar : " $.
10 dollars " 1 eagle : " E.
1. How many cents in 3 dimes?
Solution. — In 1 dime there are 10 cents; then, in 8 dimes there
are 8 times 10 cents, which are 80 cents.
2. How many dimes in 3 dollars? In 7 dollars?
3. How many dimes in 60 cents?
Solution. — In 10 cents there is 1 dime; then, in 60 cents there are
as many dimes as 10 is contained times in 60, which are 6.
4. How many dollars in 6 eagles? In 8? In 4?
6. How many dollars in 40 dimes? In 60? In 90?
6. How many dimes in 1 eagle? In 8 dollars?
7. If 1 lemon cost 6 cents, how many dimes will 5
lemons cost?
8. James bought 8 pencils, at 5 cents each : how many
dimes did they cost?
9. How many dollars will pay for 5 bushels of wheat,
at 10 dimes a bushel?
10. Jane spent 10 cents in one store, 3 dimes in
another, and 5 dimes in another: how many cents did
she spend altogether? How many dimes?
11. Henry spent 6 dimes for handkerchiefe, 25 cents
/or collars, and ga,ve 1 dollar to the clerk In payment:
Jiow many centB in change did Tli^ xeeew^l
TABLSa 85
LBSSON
ENGLISH MONET.
4 fiurthings (&r.) make 1 penny : marked d.
12 pence " 1 shilling : " s.
20 shillings « 1 pound : « £.
1. How many farthings in 3 pence?
SoLUTiOK. — ^In 1 penny there are 4 farthings; then, in 8 pence
there are 3 times 4 farthings, which are 12 farthings.
2. How many shillings in 60 pence?
SoLUTiOK. — In 12 pence there is 1 shilling; then, in 60 pence there
tfe as many shillings as 12 is contained times in 60, which are 6.
3. How many pence in 6 shillings? In 8? In 7?
4. How many shillings in 2 pounds? In 4? In 5?
5. How many pounds in 40 shillings? In 60? In 100?
6. If a geography cost 4 shillings, how many pounds
will 10 geographies cost?
7. A boy had 9 pence ; his &ther gave him enough to
make 2 shillings: how much did he receive.
8. How many books, at 6 shillings each, can be bought
for 3 pounds?
9. How many tops, at 3 pence each, can be bought
for 2 shillings?
10. If 10 yards of cloth costs one pound, how many
shillings does 1 yard cost?
11. A boy in London spent 12 pence in one store, 12
shillings in another, and 7 shillings in another: how
many pounds did he spend?
12. Jane spent 8 pence for prunes, 16 pence for rice,
and 5 shillings for sugar, giving the clerk 1 pound in
payment: how many sHYirngj^ m Ock».\^g^ ^^^Saa^^^Rwc^^^
86 BAY'S NEW PRIMABY ABITHMETIO.
IiBSSON TjXXXT.
TBOY WEIGHT.
24 grains (gr.) make 1 penny-weight
20 penny-weights " 1 ounce
12 ounces " 1 pound
1. How many ounces in 5 pounds?
marked pwt.
" oz.
lb.
Solution. — In 1 pound there are 12 ounces; then, in 6 pounds
there are 5 times 12 ounces, which are 60 ounces.
2. How many pounds in 96 ounces?
Solution. — ^In 12 ounces there is 1 pound; then, in 96 ounces
there are as many pounds as 12 is contained times in 96, which are 8.
3. How many penny-weights in 3 ounces? In 5?
4. How many ounces in 60 penny- weights ? In 80?
5. How many grains in 2 penny- weights ?
6. How many penny- weights in 48 grains?
7. If 1 penny- weight of silver is worth 3 dimes, how
many dimes is 1 ounce worth?
8. A miner had 40 penny-weights of gold in one bag,
6 ounces in another, and 4 ounces in another: how
much did ho have in all?
9. If an ounce of gold is worth £3, what is 1 pound
of gold worth ?
10. Bought a gold chain for $20, paying 2 dollars a
penny- weight for it : how much did it weigh ?
11. If 1 penny-weight of gold is worth 3 penny-weights
of silver, how many ounces of silver are worth 1 pound
of gold ?
12. A man owed 3 pounds of silver: at one time he
paid 14 ounces; at another, 20 ounces; and at another,
^0 penny-weightb : how many ounc^ ^^ V*^ ^\j^ qtsrVI
TABLES. 87
IiBSSON T.xxxn.
AVOIRDUPOIS WEIGHT.
16 ounces (oz.) make 1 pound
100 pounds " 1 hundred-weight
2000 pounds " 1 ton
marked lb.
" cwt
« T.
1. How many ounces in 2 pounds? In 3?
2. How many pounds in 32 ounces? In 64?
3. How many ounces in 4 pounds? In 5?
4. How many pounds in 48 ounces? In 80?
5. How many pounds in 2 tons? In 3?
6. How many tons in 4000 pounds? In 6000?
7. I bought 20 ounces of rice in one store, and 12
ounces in another: how many pounds did I buy at
both stores?
8. James bought 3 pounds of brown sugar and 1 pound
of white sugar : how many ounces did he buy ?
9. A farmer sold 4000 pounds of hay to one man, and
8000 pounds to another: how many tons did he sell?
10. Frederick caught one fish that weighed 48 ounces,
and another that weighed 32 ounces: how many pounds
did the two fishes weigh?
11. I bought 1 pound of figs for 20 cents, and sold
them for 3 cents an ounce : how much did I get for my
figs? How many cents did I make?
12. An express company received 4 barrels of fish,
weighing 1 hundred-weight each, and charged 2 cents a
pound for transportation : how much were their charges ?
13. How many pounds in 6 cwt.?
14. How many pounds in 5 tons?
15. If you buy 5 pounds of coffee, how many ounces do
yon get ?
88 BAY'S NEW PBIMABY ABITHHETIC.
LBSSON TiXXXTn.
DBY MEASUBE.
2 pints (pt.) make 1 quart
8 quarts " 1 peck
4 pecks " 1 bushel
marked qt.
" pk.
" bu.
1. How many pints in 2 quarts? In 3? In 4?
2. How many quarts in 12 pints? In 14? In 16?
3. How many pecks in 2 bushels? In 3? In 5?
4. How many bushels in 16 pecks? In 24? In 32?
5. How many pints in 2 pecks? In 3?
6. How many quarts in 2 bushels? In 3?
7. If 1 pint of meal cost 2 cents, what will 7 quarts
cost?
8. If 3 pecks of apples cost 24 cents, what will 1 quart
cost?
9. I bought 10 quarts of oats of one man, 9 of another,
and 5 of another : how many pecks did I buy ?
10. Henry bought 2 bushels of peaches, and sold 6
pecks of them: how many quarts of peaches had he left?
11. James bought 3 bushels of apples for 6 dollars,
and sold them for 1 dollar a peck: how much did he
get for his apples: how many dollars did he make?
12. Henry bought 6 quarts of berries for 30 cents, and
10 quarts for 40 cents: how many pecks did he buy?
How much did all the berries cost?
13. A farmer bought 12 bushels of seed for 60 dollars :
he sold 35 dollars worth to a neighbor at the same price
per bushel that he gave: how many bushels did he
sell?
14. If I feed my horse 4 quarts of oats three times a
daj-: Low many pecks will be xequiT^d ioT ««. ^«^^*l
TABLES. 89
LBSSON TiXXXTV.
LIQUID OB WINE MEASURE.
4 gills (gi.) make 1 pint : marked pt
2 pints " 1 quart : " qt.
4 quarts " 1 gallon : " gal.
1. How many gills in 4 pints ? In 6 ? In 8 ?
2. How many pints in 20 gills? In 28? In 36?
3. How many pints in 6 quarts? In 8? In 10?
4. How many quarts in 12 pints? In 16? In 18?
5. How many quarts in 5 gallons ? In 7 ? In 9 ?
6. How many gallons in 16 quarts? In 24? In 32?
7. If 6 gills of olive-oil cost 60 cents, what will 1 pint
cost?
8. If 8 quarts of milk cost 48 cents, what will 1 pint
cost?
9. At 80 cents a gallon, what will 1 pint of molasses
cost?
10. My cook buys 8 quarts of milk every week, at 4
cents a pint. How much does the milk cost a week?
11. I bought 6 quarts of vinegar at one time, 7 at
another, and 11 at another: how many gallons did I
buy?
12. Frederick bought 4 gallons of wine, at 2 dollars a
gallon : he sold it at 1 dollar a quart : how much did he
make on his wine ?
13. A grocer bought 10 gallons of kerosene for 3 dol-
lars, and sold it for 40 cents a gallon : how much did ho
make on each gallon?
14. How many quarts in 30 pints of milk?
15. If a gallon of syrup costs 1 dollar, how many
pintB do you get for 5 doWaral
90 RAY'S NBW PRIMABY ARITHMETIC.
liBSSON liXXXV.
LONG MEASUBE.
12 inches (in.) make 1 foot
3 feet " 1 yard
5i yards (or IGJ feet) " 1 rod
320 rods " 1 mile
marked fb.
" yd.
" rd.
« mi.
1. How many inches in 3 feet? In 5? In 7?
2. How many feet in 24 inches? In 48? In 96?
3. How many feet in 4 yards? In 8? In 10?
4. How many yards in 9 feet? In 15? In 27?
5. How many rods in 2 miles ? In 3 ?
6. One desk is 2 feet in length, another 3 feet: how
many inches longer is one desk than the other?
7. A man made a sidewalk 40 feet long, and a walk
to the front door 14 feet long : how many yards of walk
did he make?
8. Eobert put weather-strips on 5 windows, 4 yards
being required for each window: how many feet of
weather-strips did he put on all the windows?
9. I have one piece of cloth, 1 yd. and 10 in. in length,
another is 26 inches in length : how many yards of cloth
in both pieces?
10. John can jump 50 inches, and his brother can jump
ten inches farther than John: how many feet can his
brother jump ?
,11. How many bricks, each 8 inches long, will it take
to make a single course of bricks 2 yards long?
12. A stairway consists of 12 steps, each 8 inches in
height: what is the entire rise in feet?
13, How many miles in 960 rods?
14. How many inches in 10 yaxAa^l
TABLES. 91
LBSSON LXZZVI.
marked sq. ft.
8q. yd.
sq. rd.
A.
sq. mi.
it
a
u
SQUARE MEASURE.
144 square inches make 1 square foot
9 " feet " 1 " yard
30J " yards « 1 " rod
160 " rods " 1 acre
640 acres " 1 square mile
1. How many sq. ft. in 3 sq. yds. ? In 5 ?
2. How many sq. yds. in 36 sq. ft.? In 72?
3. How many sq. rds. in 2 A.? In 3?
4. How many A. in 320 sq. rds. ? In 480 ?
5. How many sq. ft. in a blackboard 9 feet long and 3
feet wide?
6. A floor is 5 yds. long and 4 yds. wide : how many
sq. yds. does it contain?
7. One closet measures 36 sq. ft., and another 45 sq. ft. :
how many sq. yds. in both closets ?
8. Jane wishes to carpet a room that measures 15 feet
in length and 12 feet in width : how many yards of carpet,
1 yard wide, must she buy?
9. How much will it cost to plaster a wall 6 feel high
and 9 feet long, at 7 cents a sq. yd. ?
10. A fern-case, 2 feet square, rests on a stand 1 yard
square : how many sq. ft. of the surface of the stand are
not occupied by the fern-case?
11. How many square feet in a walk that is 1 yard
wide and 4 yards long?
12. How many square feet of lumber in a board that
is 24 inches wide and 16 feet long?
13. How many square miles in 1280 acres ?
14. How many square fee\> Vn \^ ^cjqax^ ^«x^^
92
RAY'S NEW PRIMARY ARITHMETIC.
LBSSON TiXXXVn.
APOTHECARIES WEIGHT.
20 grains (gr.) make 1 scruple
3 scruples " 1 dram
8 drams " 1 ounce
12 ounces " 1 pound
marked 9.
3-
lb.
u
it
u
SOLID OR CUBIC MEASURE.
1728 cubic inches make 1 cubic foot : marked cu. ft.
1 cubic yard : " cu. yd.
27 cubic feet
<i
128 cubic feet
" 1 cord.
NoTS. — A pile of wood, 8 feet long, 4 feet wide, and 4 feet high
contains a cord.
TIME TABLE.
60 seconds (sec.) make 1 minute
60 minutes " 1 hour
24 hours " 1 day
365 days, 6 hours (365J da.) " 1 year
100 years " 1 century
marked min.
" hr.
" da.
«
cen.
7 days make 1 week
4 weeks " 1 month
12 calendar months << 1 year
marked wk.
" mo.
yr.
The following table gives the number of days in eaoh
month :
1. January, 31 days.
2. February,28 or 29
3. March, 31
4. April, 30
A Majr, 31
6. June, SO
\
7. July, 31 days.
8. August, 31 "
9. September, 30 "
10. October, 31 "
11. November, 30 «
1^, "Dwswatefex, ^\ ^^
TABLES. 93
LBSSOK LXXXVni.
CIRCULAR MEASURE.
60 seconds (") make 1 minute : marked '.
60 minutes " 1 degree : " **.
360 degrees " 1 circle.
PAPER.
24 sheets of paper make 1 quire.
20 quires " " " 1 ream.
BOOKS.
When the sheets of paper in a book are so folded
that each sheet makes 2 leaves, or 4 pages, the book is
called a folio, fol.
4 leaves, or 8 pages, the book is called a quarto, 4to.
8 « " 16 " " " " " an octavo, 8vo,
12 « " 24 " " " " " a duodecimo, 12mo.
16 « " 32 " « " " " a 16mo.
18 « " 36 " " " " " an 18mo.
MISCELLANEOUS TABLES.
12 things make 1 dozen.
12 dozen " 1 gross.
20 things " 1 score.
6 feet make 1 fathom.
4 inches " 1 hand.
4 rods " 1 chain.
196 pounds of flour make 1 barrel.
200 pounds of beef or pork " 1 barrel.
60 pounds of wheat " 1 bushel.
56 pounds of corn ^' V \svisSw^
94 BAY'S NEW PEIMABY AEITHMETIC.
LESSON T.XXXTX.
REVIEW OF TABLES.
1. How many cents in 5 dimes ? In 3 ? In 7 ?
2. How many pence in 40 farthings? In 32?
3. How many eagles in 30 dollars ? In 50 ? In 70 ?
4. How many shillings in 3 pounds? In 5? In 4?
5. How many penny-weights in 4 ounces? In 2?
6. How many pounds Troy in 36 ounces ? In 60 ?
7. How many ounces avoirdupois in 2 pounds? In 3?
8. How many pounds avoirdupois in 32 ounces ? In 48 ?
9. How many quarts in 6 pecks? In 8? In 10?
10. How many bushels in 20 pecks? In 28? In 36?
11. How many quarts in 7 gallons? In 6? In 8?
12. How many gallons in 16 quarts? In 20? In 36?
13. How many feet in 7 yards? In 10? In 12?
14. How many square yards in 45 square feet? In 63?
15. How many scruples in 9 drams? In 8? In 10?
16. How many cubic feet in 2 cubic yards?
17. How many cubic yards in 54 cubic feet?
18. How many hours in 2 days? In 3?
19. How many days in 48 hours? In 72?
20. How many weeks in 7 months? In 12?
21. How many minutes in 2 degrees? In 3?
22. How many quires in 4 reams of paper? In 3?
23. How many pens in 1 gross?
24. How many feet in 7 fathoms ? In 5 ? In 9 ?
25. How many feet tall is a horse 15 hands high ?
26. How many chains in 24 rods? In 28? In 36?
27. How many farthings in 2 pounds? In 10?
28. How many ounces in 80 penny- weights ?
^9, How many sheets of paper in 2 quires? In 2 reams?
30. Sow many are 3 score and \ft*l
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