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ARITHMETIC
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i
ERNEST YOUNG,
HEAD-MASTER OF THE NORMAL COLLEGE FOR TEACHERS, BANGKOK ;
FORMERLY HEAD—MASTER OF SOOVVAN KOOLAP SCHOOL.
\
STANDARD 11._










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soovxiAN KOOLAP
ARI'I‘HMETIO BOOKs


BY '
ERNEST YOUNG,
HEAD-MASTER. OF THE NORMAL COLLEGE FOR TEACHERS, BANGKOK;
FORMERLY HEAD MASTER OF SOOWAN KOOLAP SCHOOL.
STANDARD 11.
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AEITHMETIO FOR STANDARD II.
REQUIREMENTS OF THE CoDE.
Finish Notation and N umeration. Addition,
Subtraction, and Multiplication. Short Division by
2, 3, 4, 5, and 6.

Mi , H
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PREFACE.
IN this, as in the preceding volume, no explanations
are given. Explanation and illustration are the
work of the teacher. The book is merely a collection
of examples suited for Standard 11., in accordance
with the requirements of the Government Code for
Secondary Schools in Siam.
It cannot be too strongly impressed upon the
minds of teachers that, in the early stages of arith—
metic, the teaching should be as far as possible in the
concrete. All the four primary rules in arithmetic
should be taught by meansof objects, figures being
used afterwards as symbols, by means of which the
' actual operations of addition, subtraction, etc., per-
formed by the pupil with collections of matches,
marbles, beads, etc., can be expressed.
It is also necessary in this early work that all
the work done upon slate or paper be neatly and
methodically set down; the habits of Vneatness and
vi PREFACE.
logical arrangement thus fostered being of enormous
As
an instance; suppose the pupil has to work out the
value in the higher stages of arithmetical work.
following problem :--~
A father gave 25702 ticals to his children: to each of his
three daughters he gave 3450 ticals, and the rest he
gave to his son.
one daughter?
How much more did the son get than
It should be set down as follows :--‘
1 daughter gets 3450 ticals.
3 daughters get 3450 ,,
3

10350 ticals.

The father gives away 25702 ticals altogether :
He gives 10350 ,, to daughters;
15352
So he gives ,, ‘to his son.
The son gets 15352 ticals.
One daughter gets 3450 ,,

So the son gets 11902 more than one daughter.
If this plan be followed out it will undoubtedly add
to the mental capacity of the pupil, and indirectly help
him also in the clear expression of other thoughts in
r
PREFA CE. vii
’ English, an end not to be neglected in the Secondary
as iWSchools of Siam.
That it is not impossible to train even young
Siamese boys thus to analyse their arithmetical Work
the author can positively assert from his own expe-
rience at Soowan Koolap School.
' E. Y.
Normal College, Bangkok.
1894.



a"
1 1.


“411111111011.
(1) 98504
(2) 60113
(3) 36935
(4) 86326
(5) 50584
(6) 79517
(7) 60072
(8) 94683
(9) 98056
(10) 77018
(1) 46007
(2) 26435
(3) 73732
(4) 13716
+
+
+
+
+
+
+
+
+
+
EXERCISE I.
6703 + 50695 + 459.
6591 + 35938 + 6602 + 31008.
84573 + 7802 + 66628 + 22874.
7007 + 99678 + 76054 + 69391.
77546 + 9569 + 13416 + 27035.
2643 + 70212 + 69324 + 18207.
3912 + 77546 + 10349 + 95638.
4304 + 99678 + 95312 + 53434.
9708 + 35938 + 97982 + 79617.
1041 + 99973 + 52936 + 38412.
‘ EXERCISE II.
8069 + 11722 + 99918 + 59584.
31.05 + 98364 + 60072 + 30109.
8056 + 91954 + 19773 ,+ 64595.
9734 + 68045 + 56462 + 96167.
10 SOOWAN KOOLAP ARITHJIETIC BOOKS.
(5) 35452 + 4095 + 98457 + 36935 + 97586.
(6) 72142 + 9570 + 60167 + 48378 + 62014.
(7) 295545 + 1607 + 64934 + 14163 + 762409.“
(8) 623684 + 2014 + 83505 + 54034 + 30963.
(9) 66992 + 81024 +9618 + 99495 + 76953.
(10) 56591 + 90193 + 9355 + 95985 + 99403.
EXERCISE III.
(1) 79358 + 30097 + 9606 + 86545 + 99403.
(2) 99916 + 80324 + 5318 + 94436 + 85088.
(3) 96113 + 65792 + 6007 + 39654 + 70087.
(4) 49604 + 61078 + 9695 + 90093 + 44444.
(5) 70583 + 29 + 9876 + 37075 + 99094.
(6) 79 + 66648 + 9 + 8005 + 56094.
(7) 9406 + 90499 + 99038 + 705 + 94089.
(8) 86 + 70492 + 9378 + 70399 + 800004.
(9) 51006 + 78 + 92349 + 555 + 470008.
(10) 80407 + 95 + 4756 + 506993 + 66055.


EXERCISE IV.
(1) 90084 + 9606 + 559 + 97688 + 91.
(2) 87035 + 958 + 96 + 70077 + 58058.
(3) 48059 + 9707 + 99693 + 884 + 94004.
(4) 20046 + 997 + 99555 + 8708 + 56433.
(5) 20378 + 88 + 61004 + 3869 + 99787.
ADDITION.
(6) 63063-+ 9958 +-96 +-95555-+ 90476.
a) 905 + 98086-+ 3859 +-97657 +~80034.
(8) 76-+ 38067-+ 99785-+ 658 +-89673.
a» 8008 +-96955 +-95 +-80596-+ 37084.
.¢(10) 59059-+ 9584-+ 6079-+ 89 +-50083.

EXERCISE V.
.3 Add together :—
(1) 59,98396,705,99074,57648.
(2) 779,59054,68,93087,99846.
(3) 18006,907,5555,96868,37.
, (4) 959,7088,90494,56536,98383.
§ (5) 98484,99,20956,9997,45788.
? (6) 6006,99695,888,34587,94004.
(7) 48027,9808,39653,67,95875.
(8) 59074,969,60803,87595,9008.
,_ _ - (9) 93,5904,90092,4910,80084.
a (10) 40606,5009,39452,948,9705.


EXERCISE VI.
Add together :—--
(1) 40606, 5009, 39452, 948, 9705.
6, 709, 73062, 6304, 9807.
(3) 991, 30003,_9505, 96578, 33033.
12 SOOWAN KOOLAP ARITHJIEI’IC BOOKS.
(4) 18047, 888, 6103, 25756, 9. ~ '
(5) 403, 6, 51358, 30003, 96005. t 7
(6) 91, 26504, 8007, 32599, 98466.
(7) 92184, 55, 53053, 9967, 22322.
(8) 92348, 91001, 6097, 95666, 944. v
(9) 50191, 60051, 9058 7875g,'666. ~ , (10) 67067, 11184, 9009,798855Qf9707. "


EXERCISE VII.


Find the total of—-
(1) Ninety-nine thousand eight hundred and
ninety-eight, nine thousand and seventy—five, eighty-
four thousand'and eighty-four, ninety~five thousand
seven hundred and fifty—nine, five hundred and two.
(2) N inety-eight thousand seven hundred and
sixty-four, one thousand four hundred and nine,
ninety thousand and fit'ty~eight, sixty-seven, ninety-
nine thousand and seventy-three.
(3) Eighty-four, five thousand and three, ninety-
five thousand six hundred and eighty-five, seventy-
seven thousand seven hundred and forty-nine, twenty
thousand and two. 1
(4) Fifty thousand five hundred and thirty-three,
thirty thousand and eighty-one, two hundred and
fourteen, nine thousand and sixty~five, sixty-five
thousand eight hundred and seven-
ADDITION. 13
Nine, eight thousand and four, forty-seven
.43 ‘housand five hundred and thirty-seven, fifty-three,
‘3 ninety-five thousand and fifteen.
(6) Eighty-seven, fifty-one thousand and three,
nint' thousand and sixty-nine, eight thousand eight




seve thousand five hundred and nine, ninety-
,“tp‘tlibusand and eight, nine hundred and twenty-
v , thirty-five thousand seven hundred and seventy-
(8) Five, eighty thousand six hundred and eighty-
six, five thousand five hundred and fifty-five, forty
thousand one hundred and seven, thirty thousand and
ninety-two.
(9) Seventy-five thousand six hundred and eighty-
eight, three thousand and three, seventy thousand
seven hundred and ninety-five, eighty-eight, forty
thousand and forty-four.
(10) Ten thousand six hundred and eighty-seven,
twenty thousand and ninety-five, nine hundred and
seven, eighty thousand and sixty-five, ninety-two.
EXERCISE VIII.
Find the 45451 of;-
(1) Eight thousand and three, nineteen thousand
and forty-six, sixty-five, ninety-two thousand one
14 SOOWAN KOOLAP ARITHMETIC BOOKS.
hundred and thirty-eight, seventy thousand fou'rstilw'
hundred aud four.
(2) Sixty-seven, eighty thousand and thirty-five, 94‘; I
nine thousand two hundred and Sixteen, forty-eight a
thousand five hundred and seventy-two, thirty thou-
sand and three. ' '
(3) Four thousand and seventy-eight, eighEy-eight,
seventy~three thousand and forty-two, ninety-six 4_
thousand five hundred and three, seven thousand and iii sixty-four. ' i
(4) Six hundred and six, ninety-one thousand an
eighty-four, six hundred and three, eight thousand
and sixty-seven, fifty-nine. 9
(5) Eighty-nine thousand and eighty-nine, fifty-
six, five hundred and ninety-three, seven thousand
and fourteen, ninetynine thousand eight hundred
and seventy-six.
(6) Seventy thousand seven hundred and fifty-four,
ninety-eight, sixty thousand and six, eighty thousand
and seventy, eighty-four thousand five hundred and
ninety-three. ~
(7) Six hundred and twenty-three, seven thousand
and seven, fifty-three thousand eight hundred and
ninety-five, eighty-six, eighty thousand and ninety-
eight.
(8) Five thousand and five, seven hundred and
sixty-four, ninety thousand seven hundred and thirty-
eight, ninety thousand and ninety-nine, fifty-eight.
a Sixty~seven, ninety-one thousand and fifty-
eight, nine hundred and eighty-Six, thirty thousand


ADDITION. ' 15


hjfive hundred and ninety-seven, ninety thousand two
ighnndred and three.
(10) Eighty thousand six hundred and fifty-five,
nine thousand and nineteen, seventy thousand and
seventy, six hundred and fifty-eight, eighty-seven
‘ thousahdfour hundred and thirty-nine.
\-.




“I
j,
EXERCISE IX.
Fintigthe total of—-
(1)“ SeVenty-five thousand two hundred and fifteen,
ninety~three thousand four hundred and eighty-six
eighty thousand six hundred and ninety-two, twenty-
one thousand eight hundred and seventy-five, ninety-
four thousand and three, twenty-six thousand eight
hundred and ninety-two.
(2) Sixty-four thousand three hundred and twenty-
one, eighty-nine thousand four hundred and eighty-
five, forty-eight thousand and seventy-two, twenty-one
thousand nine hundred and thirty-six, twenty-nine
thousand one hundred and four, seventy-one thousand
four hundred and sixty-three.
(3) Eighty-two thousand, nine hundred and
ninety~three, fourteen thousand and sixty-seven, six
hundred and eighty-two, sixty-nine thousand one
" hundred and forty-three, thirty-two thousand nine
hundred and ninety-four, fourteen thousand six
hundred and twelve.
(4) Twenty-eight thousand and sixty-four, sixty-
fourthousand eight hundred and seven, four thousand
16 300 WAN KOOILAP‘ ABITHMETIC BOOKS.
eight hundred and ninety-two, fourteen thousand a1 three, ninety-six, five hundred and eighty-one. i 5
w. 3 4" 3
(5) Sixty-seven thousand ninehundred and twent) 9‘ three, twenty thousand three hundred and forty-eight,
nine hundred and nineteen, fifty-eight, three thousand
four hundred and sixty-seven, ninety~eight. ”
(6) Seventy thousand and; eighty-five;~,tiventy-ysi'x-Q,-h ;'A
thousand eight hundred andit fourteen, Sixty-sev‘eh,f,l a '9
four thousand and ninety-three, twenty-six thousand" four hundred and eighty-one, nine hundred and nine.
(7) Sixty-four thousand eight hundred anditfiventyn three, seventy-eight thousand and five, twenty'lnine .
thousand and six, eight hundred and three, two thousand six hundred and fourteen, ninety-two
thousand eight hundred and one.
(8) Four hundred and sixty-two, seven thousand
and eighty-three, twenty-one thousand four hundred
and eighty-nine, eight thousand and sixty-three, two
hundred and fourteen, ninety-nine.
(9) Seventy-one, five hundred and sixty-three,
nine thousand and fourteen, forty-six thousand seven
hundred and eighty-three, two thousand one hundred
and forty—nine, eighty~seven.
(10) Two thousand four hundred and sixty-seven,
eighty-nine, one thousand nine hundred and three,
forty-eight thousand five hundred and sixty-two,
ninety thousand two hundred and fourteen, eight
hundred and fifty-nine.
NlVEHSITY OF MICHIGAN
1111' I 11111111111111
3 9015 07871 3669