1970-08-28 — Page 15

育教厤華頁三第張四第日七廿月七年戌庚歷夏

NEY CRENCE LIBRARY

28 JUG 1970

CITY MALK

報日僑華

WAH KIU YAT PO

小學畢業同學

暑期進修專欄

Therefore, the retailer pays ($120 $18) $102

TI Since discount of 15% is allowed, the

retailer pays 85% of the catalogued. price,

英文數學

(六)

85 So, the retailer pays $120 x = $102

100

ANSWER $ The retailer paye $102.

Example. 2

Decimals.

Useful. Decimals,

*Example:

1.25 | = 0.375

LESSON STY

CHAPTER SIX

DEGIMALS, Simple

age

a Discount

Q.75 -0.625

125 7-

Express 0.03175 as a fraction in the simplest forms

SOLUTION:

ANSWER:

*Example 2

0.03175

3175. 10000 T

127

4000

127

0.03175 equal to

Express 880 yards as a decimal of four miles,

880 yd.

(miles: 4 x 1760 yd.

330 yd

ANSWER:

Example 3.

0.125

880 yd, equal to 0.125 of four miles.

(The pride of beef is $6.60 per catty and pork $5.60 perr catty. A woman buys 1.5 catties of beef and 5.5 catties of pork, Whatchange does she get for hundred-dollar note?

note?

SOLUTION; The price of beef and pork="

ANSWER:

$9.90+ $30.80-

$6.60 x 1.5 + $5.60 x 5.5 $40.70 Therefore, the required change = $100 $40.70 The required change is $59.30.

(B)SIMPLE PERCENTAGE

A PERCENTAGE is simply a ratio in which the second. number is 100, and normally represented by a fractior. (with.denominator"100. eig. 5.per cent.y written as 59 denote the ratio 51 100 or may be represented by the fraction 100

may

Example -

Express: (a)

SOLUTTONE (a)

Example 2

(b)

X

*(b).

as a percentage

Express *(a) 0.375 as a percentage: (h) 0.27

percentage of 1.

SOLUTION: (a) 0.375 =

The marked price of an article gives a merchant a profit

of 20%. If he allows a discount 'of 10% what is the act

actual profit per cent.?

SOLUTION:

So the marked price will be 120%

Let the cost price be 100%

The required actual profit per

cent,

120

[100 x ( 1-10%)]. – 100% – 8.

108%

ANSWER ED

Example 3.

The required actual profit per cent;

the

A television set is marked $1,000 and a 5% reduction is:

allowed for cash. If it is bought by instalments down payment is $300 and the rest can be paid by 12 equal instalments of $66 Zach. What is the difference

in:amount of money between buying with cash and by instalments.

OLUTION The price bought by cash

ANSWER:

$1,000 x (1-5)

= $930

The price bought by instalments.

$300 - $56 x 12 =

● $1,092

Therefore, the required difference.

$1,092 $950 $142

The required difference is $1421

EXERCISE 10

(1) Change seven-fiftieths into decimali (2) Express 0.1875 as a fraction in the

simplest forme

(3) What fraction of 1.26 is 0.367:

(4) Find the difference of 1.5 tons and

2.5 cut.

(5) Express the first quantity.as

decimal of the second,

30 min. 4 hours.

(6) Aftery spending:0.25 of the money con

books and 0.5 of the remainder, or cakes and drix's, a boy had $4.80 left. How

·much had he at first?

"The perimeter of a rectangule is 6.38. in. If the length of the longer side

of the rectangle is 1.84 in., find the length of the shorter side.

EXERCISE 11

(1) If a girl spent 45.5% of her money

cooks, 37.5% on buying pens, what p percent ige remained?

(2) Express 2.31 as a percentage., (3) Express 1273% as a decimal,

(4) Express 2,8 as a percentage of 2. (5) What is 333% of 2 weeks 2

(1)

(5)

(3)

2 days 3 hours? (5) days.hrs.

(6) In a certain place, if 42% are men, 28%

are women, what percentage are children? If the population is 900,000, how many children are there?

(7) A clerk, whose salary is $700 a month, receive

receives an allowance of 5% Find his

(b) 27

0.27 x 10

total income per year.

(7)

Example

Express *(a) 35%

decimal,

SOLUTION: (a) 35%

a simple fraction, *(b) 75% au

(8) Pater bought a house for $25,000 and had to sell it for $22,000; find his Josa per cent.

(9) By selling a radio for $250, a man made

a profit of find the cost

Prices (10)IC A is 10%

ofst of cost few than B, B in 15%

heavier than C.C.is 20% heaview than

1. By how much percentage is A heaviers

han D?

(8)

(b) 75% = −75

Example 4

(10)

五期星日八廿月八年〇七九一曆公年九十五國民華中

杜成茶金盘j;作爲硬|鮑英國帆

【路安監林微 歐陽安君公子

畢杯,以示莙洲之意,

教

餐蛋

杜威學會夏季聚餐

小就與社韶博士。

同時歡宴宗敎授與顏女士 曾昭森 博士於席上報告杜威夫人逝世消息 《時訊》香满儿戏,以術會融鸥來的一位代一五月六日在遇米寓所,路易逝世,將【種

·张世,空六十六 魂由黄昭森博士领·杜恩夫人清淨,將清西,就臣一九四六年,婚 - 祥怡萬美元赭于其皮女

八月二十六日正午时 時

升

漂樓三樓飛燕 爭行。 ,假踞打考道學咁畫

到叙者有吳俊升博士

;倪究博士,沿著納 港大學生會土風舞會

昨說,杜威夫人於本年·女公子外,北餘逡碴約|杜威博士結婚,是假社 1千萬美元給予两位男 然後與八十七歲高齡的, 出國夫人逝世消息。

托之酾証,同年收鉴于

·中山博士,諍推演博士

·東激境,顏所習宮,但 士,胡家健教學 - 宗

KH GOHN

·博士等多人心 獨會開始,帶出隆九月11日晚上八時,在一獅,刻貂鈽芭牌雰學校 本會眧囊德士,光子添「學生會土風舞西六段視,簡斯摇熱舞,加酵,白 洪凯戎戳大學┐毛妹芭薇恩特演出都有RIENNE DEWEY.. 下月二日晚盛大演出 Dewey CR女名 AD || 交舞蹈澳校之匈牙利,杜威夫人管同女公子來, 勍間帶类威烈合音

一九六四年十一月

大會堂音瑪爾盛大演出之四班牙舞,王仁義 ENGL

由談 出禱殓舞, 學校之來做評,所

宗及投及融文士乃基·華爾滋,無傷 港臀年門號匯之結: 博士到: 第三,頂水,一盤組山地,杜國學會巫行之「國

·教育學研究用途。 杜良夫人及美國匹

歐陽光赴美深造

路易先生之女公子因路 茲堡一幅大玻轫廠店京

培桃

一般客機飛美國芝加籍年大造。陽光世

杭

杭立武博士昨應邀

很著名的免資心理學,例蕤之马舞及挪威舞 及成人放臂研究有心 帽,但之祀化味,完 娠及俄國烏克蘭舞,另「協急麥及本非音樂放 專家,是台雷師篇大州,湖羅姆ㄡㄢ际之 流两樣,獄力對舞蹈,近世日烤之後,會拍量產生,前美國裏名大學及川路告事項 教授,是中國出勝國際。斯坦蜜 互綉花話,「媽冽有照顧看蹀塔館,向杜沃家屬慰問金、造園土派出致術院醫助,領眾對期檢叡期良多 俗的黑者,宗教區鼎中, 放 了法大學用畫紀合作,我待,彼此的橫著黃松大他將於下月初将紐約出席一有风際性致 又戴流褂 好年傘演 先會為。訪問。她两次來將,博士,昨應邀觀本焉然就出院及到國際酒店客 發售,州三元及爲架。得聞杜威夫表,首府哥倫比亞大學做是那還博士,四射的基地、 育會酒,他盛况浟書費,並表示於會後

"C淼氏》日前建之我國駐希翼大使碗立式 參觀本港基教書院

名土

中學同學暑期進修欄

-堅道英文書院主廠

趣味數學(六)

趣味邏輯

·方褡子的矩隙可以用來解邏輯問題,以下就是一條在疾网候流行的「史列类 便」邂辦問題。用方便起見,我們改稱之為「甲————乙丙』問題絶。

(一)甲乙三人同游火车,三人之中有一個是工程師,一個是銀行浆,一個是消防員、乙

......人同時各有一表弟同在火中之上

(二)内的表弟住在中環:

(三)銀行家住在北角

(四)乙的表弟不懂得數學。

(五)銀行祭的表弟住在九寵

Lldren:

(大)銀行家和其中一人的表弟

(六)用的球球技術比郡消防識好。

現在問:他是工程師/

一個數學候,住在同一

曾先我們要手的是把問題的各項資料分類的分成數組。分組沒有一定的方法,關問題) 本身而寇通常把有密切關係的分子(資料)列為一組。..

從溫題的資料,我們可分成两柤。第一組是甲乙丙和他們的職藥的關係;第二是电之同的 表弟和他們住處的關係。

H

銀行然 消防員

·甲表弟 乙

九龍

溫两盘關係都很複雜,甲、乙、丙三天的職装都可以是三種中其中一種;三人的表弟誰都可 我住在三區中任何一厭。我們就從酒七須資料中找出來。還兩級關係可以用LCA)1(B)两

姐隙本代表

-3

甲表弟 19 2

乙蒓菜

4. S

A man whose salary is $8,000 a year Increase of 5%. Find his hey salary.

SOLUTION:

receives any

The increase in salary = $8,000 × 103. 0 $400. a year

Therefore, the ner annual

ANSWER

Example 5

$400 $8,400

His new salary is $8,400.

A merchant bought 70 books at $3.20 each. He sold 30

of them at $4.50 each; another 30 at $4.00 each and The remainder at $2.50 each. What was the percentage gain?

SOLUTION:

ANSWER:

Profit Selling Price - Cost Price

$4.50 x 30+ $400 x 30 + $2.50 10 $3.20 x 70

$135+ $120 + $25 - $224 - $56

The required percentage gained = $56 + $224

The required percentage was 25%.

(C) DISCOUNT

Example 1

100%

In a wholesale catalogue, a watch is marked at $120

but the retailer is allowed a discount of 15%. Wha price is paid by the retailert

SOLUTION:

Method I The discount 15 of $120

EXERCISE 12.

(1) A table is marked $80 but a discount of

15% is allowed for cash, What is the cash price?

A shopkeeper gives a discount of 10%, for cash. At what price is an article- markedy if the cash price is $225

(3) In a wholesale catalogue, a namera is

marked $350 but the retailer is allowed a discount of 20%. What price is puid.by the retailer?

(1):

(3)

(4) A car is quoted at $4,000 in a wholesaler.

wholesaler!s.catalogue, but the retailer only paye $3,700 for it, Express ther trade discount allowed at a percentage. (4) (5) A manufacturer allows the retailer a

discount of 20% on the catalogued price. What is the catalogued price of an .! article marked for which the retailer pays $140

(5)

(6) The marked price of a book was $11.A.

man bought the book at a diadount of 15%" If he gave the shop a ten-dollar note, how

·much.change did he gotif

(7) An article is marked $210,00 in shop A and a.15% reduction ds given for cash.. A similar article is marked $225.00 in shop B and 20% is allowed for cash, How `much can a man save if he buys. the

article from shop A?

(8).

(7) $.

2

3

6

8

9

PLCA)

BIBY

6

BELCA)的彌障是代表甲、乙、丙三人與其職業的關保;每一直行周上都有一種職業的名稱 v在街一横行的左側,亦都有甲乙丙各人的名字。圖(B)的矩蹿是代表甲、乙、丙的残及其 金址的關保。每一直行頁上将一區的名稱,每一横行則亦有各人表弟的名字。

......每一個知障都有九路,而每一格是代表一種關係。為方個解說起見,我們把每一方都線上號

碼,格要的數目字,就是它起的編骢。

(A)的第一站,我所在的面行頂上有工程師的職業的名瘫,而所在的横行左侧是有甲府 名字,故此第一格是代獎「甲是工裾師」這種關係(迴關保是對或不對我們當然未知)。同地 第二搭犀代婆「甲是銀行線,這種關係。第三格是代表「甲是消防員」;第四格是代表「乙是了稻 師」,繇下做此類推,圖(B) 也是一樣,如第五格是代表「乙的表弟住在北角」,第七格代表 f丙的表弟住在中等等。

明白了還的個矩陣之後,我們遲要知道两個符號的意袭:(1)是代表「是」,(0)是代表「

2(A)2(B)和1(A) 1(B)完全一嶼,拾于编號也和上两面一樣,現在我開 始分析...

蛋

0

20

0

]

.0

0.

1 谁

乙换

0 0:

內表弟 江

@

2(B)

先從憫2(B)開始:第二項資料顯示門的表弟住在中段,我們就在代表「門的表弟住在中成 J道稚關係的那一搖,凯是第七站,旗上一個「是」的符號(1)。然後在同横行和同行的其 他格子上,第一四八、九等務,加上否的符號(0),以碳示网的表弟不住在北角和九剧! 及甲和乙的驳弟不住在中環。

第三項第六大資料與示做學家住在北角。內的表弟住在中嶼,不是教學束,乙的表弟不情歌| 1.明,也不是驗學家,故此甲的表弟是數學系,而他住在北角,我們便把代表這樣關保的第二格提上 (1)的符號,也同樣地把同橫行和向直行的其他格子旗上(B)的符號,乙的表弟不住在中瑞城北 角故此他住在九解,我們把第六袼填上(I)的符號。

她深2(B)我們已清楚知道誰的表弟住在那處了。再者圖2(A)。靠七項資料指出甲不是退 防員,我們個在第三路旗上(0)。第五項同料指出銀行家的表弟住在九龍,而乙的表弟住在童 ,故此是銀行,我們使在耀五格版上(1) 然後在同随行和间隙行的减他四将上演上(0), 展示乙不是工程師或消防員以及甲和内都不是銀行來。現剛蓬短蹕就變成圖2(A) 讓子了 關中顯示甲不是消防員,也不是銀行家,故此甲個爆邦工操团,龍內是消防爲了。!

Page 15Page 16

真四第張四第日七七月七年戌庚曆皇

WAH KILI YAT PO