1967-05-20 — Page 15

日二十月四年未了歷

育教僑華

英中會考數學(一)試題

HONG KONG ENGLISH SCHOOL CERTIFICATE SYNDICATE,

SCHOOL CERTIFICATE:EXAMINATION,

1967

{MATHEMATICS. SyuaDueTA)

PAPER I

(Arithmetic and Trigonometry

Time allowed - Tad nour

Attempt ALL questiuni în Section A and any FOUR queations in Section

Bathematical tables will be provided

SECTION A (40 marka)

Credis will only be given for the correct saswer.” Put sath answer is the space provided bo the question paper Any working required may be done wa che la e pages of the saswer book but will not be sus rked. ̧

02二月五年七六九一公年六十五國民華 *

六期喜

報

WAH KIU YAT PO

【慈幼學校取錄 英文小學新生

公新生及備取中訓後: 有時至四時,來校辦理入學手續,全部取錄 至於五月十五、北大、廿七三日毎日下午1 ∫特阏♪香港慈幼寕校英文小學部全 新生入學試發票凡於定,取錄新弭

本月廿五日起辦入學手續

明、漢見、少、則變好。 謝明威、張透光、何永昌、李中石、懸索 菘蒞㇀余泱才丶鋼錦標。 取生;蠑明、張經臨、張志粱、

仲、黎志雄、既景、A L BERT _LAMPRILL 阿伯雄、李如、 寧、梁建斌、雞文光、葉明、福必强、 從強生、林祥羲、摔交屐、蘇貞秋、先輝 發、梁啓 、關愛良、葉洲源、景、 ▲阿秀遠、無志和、林號、劉穎強、志 悅麟、H闇蔭、健噹明、干洪探,謝光

九、、、芑盘颖、祖貽、丁王陵、望、 英小六 酇富、周强风、有 劉偉才、余錦光、叉染紫、蔡乃探、杜風 光、濕其萍、李國華、海 珠、緊少生、黃永鴻、澳瞬隰、栾令鮮、 鸡將底、寧景堯、文成滿、丘國源、其

英小四: 許潚一、梁安啜、

月「蛋劍偉,任正究、朱善娟、蔡澤、謝得 年灬丁福祥,任以正、崇鐘、李介仁、陳立 長 [] *、開立人、有凱威、余永生、王志膽、 五 ̇年、林瓶培、狥嚞高、張志亞、藍仲偉、 七 脆、周炫輝、劉志光、邵榮成、潘昭萘、

威、何姿生、熱思思、誓文煇、玉世凡、

甜菜 、紹永、張志明、陳來、 標、文臙信、郭伯洪、永勝、林、陳 [平、居安衛、活創業、盧志强、 年、 湖 背兆明、郭安、吳如北、黎明、經

·六 川交,何雷、曹子鑑、豬圈軸、張育 臺、橘、家廣培、財謙、眾京、藥三 、其偉光、徐聚融、廖管祖、居家族、做 1、周供光、淵大勇、伉續費、免隔半 一能、彭治城、陳妓院、興致湖、江、立、 陈睦、陳神明、何潤稿、余仲文、张明顯 *武、酒泉、孕以恆、智淵宮、湖翊華、蟹忠、陳樹昌、楊健礬、平仲傑、紫、裘 貂海璽、王憲渴、梁伯光、菠君術、陳偉、余安颐、陳啟昌、芸儷榮、潘宗、陳 黨、時保、歌永輝、高金酥、殷活光

一、梁智源、張健、仁、熱、 伯语、固望远、平至、成、陳仕、 數,网銦術,主的薙、梁啓德、被斷一雄、李志馥、張志凱、趕芍術、吳家蔥、 華、羅偉成、倒立志、郭小康、吳杰忠、 谭晓、消粱、雲協涤、甘浩文、朱育 無志亞、玄瓷器、胡國牛,唐機、張偉 觀景光、關浩文、活恩、園、花↑

一、梁照民、徐海瓷、阿克位、高新、蔡

文凱、術、開金融、換河源、趙東 濱崃、業蹄湯、窩許昌、李元卿、等四正

日餓程、怡、靚、正財融、鏘有 儒、、醫學、文員强、蘇丹誠、蒲江海、肚 允活、聖溟亮、李國麟、胡女雲、張宴光

一、陽信托、余無糖、蛋志堅、朱運明、林 【 鍔、湖其亞,無疑、鎚魔杵、何家烈 民莘、冢少雄、超懿俗、茲傳瑠、何定備

、潔、藥學、松亞倫、陳永昌、雞

忠、體悟、清德全、歐陽貫學、割劉艾 壁謀、陳燿風、黄歅飾、黨做漢、蔡志 * 吳榮、余蘅鳴、余河戀、宮與糖、

亞 在擔明、喬江銘、买忠攝。三 黄涩辣、何鑑強、陳佐礬、炮、阿偉 建、梁宏蔭、馮偉光、黄、丹行丶

匠,胡志安,事賢館,李帆影,健崋1 成,陳爽阚,從國際,安代两,無德明, 規玆勝,余明光,簡巫成,刊做汳,羅志

謁蝇,汪有 白志力,王遇裙,當志鸿, 英小三:平,把息,吳明出發,

備取生;李卓光、張志威、部位藝、

、張、綰线、張點、鄧山、次,爲務,選材,林一

英小五:

茗、李河、泰昌、 钉、孤體魔、磺粱督、梁志威、袋記得、 荷族群、短糸息、谤榮強、世明、閼

錢或全,朱佑戇,吳浩華、方國翠、 其利、建新湖、 莫子他,凌志武、員煒、馮國英、艾建 有、摩愆影、灣微錕、吳仲基、炘雒縣、 橫、黃文傑、南部菘、戚本宗,會你傑, 於皮葦、對醬瓶、蝕亞聖、劉治修、伍网 蔡、隆宏辉、稻米、佰紫粱、四無圖、

【其、阿速变、胡批踢、何天鴻、伍杌菇、 李兆強、潞交往、薛成階、蔥恩樂、縠示 李汝法、龔強之、一等公

「狖元、守明、郭文治。

1藚幸成,營建嗰,林魚鈎,平榮石,背 、 擀强,周昌怕,黄志涼,何侬弱,蘇偉深

崇志,谢勻,李窗图,樹糕,梁志藁 做成,許啓邦,胡志明,潘嘅说,蔡

將年,余松榮,許英朗,廚蔗讀,梁& ,周澳案,朱紫希,林鴻詢,凌志,

,谈免嘉,雀詡,冠建成,何淵對,吳麗 溪榔,楊大偉,劉守,林衍良,撚大搬 劉陳,繞過,與侯德,黃宮寒,阮訂可 ,天國,從永戰,黎英茲,吳文治,林 摆雄,鄧榮光,村阅卷,安背帙,陳榮钽一 ,將做澡,張國難,何雅典,尚笑,糖 基,孔劍威,陳志和,鄭志和,郭裟,

陳、杏、同汛潤、洪建念、郭小、吳 長 孔融、陳啓群、定班費、蔟長、甄鹋浩明,陳文,T磁阻,張浈你。” 交、應徵琳、吳良,蔟浦極、張建煜、,梁依熱,你係,楊習器,余銘泉,李

江亭、志卷、張菇、周糖糖、潘洪苑 劉家明,伍英倬,譚文忠,望勵志,智 何西斗、胡智德、桂賢仁、苗大衛、健忘,埏炳榮,朗痪忠,使得' 南

Simpilty

L

19

#

if a mo eksas ill, J. 76.

{ALAWOL.

bw

Auswer

The side of a square measures 24 inches Quo ine side of another quiz w measured by inches. Express the ares of the first equaza as a fraction of the]

yarea of the excond square, gimug your newer loita loweal terme

Antwer

14 HK$5, 76 in exchanged for US$1, how much is U.S. dollars will a student' get for the HK$1000 his father sends him? Give the amount to the menzual FORT.

中會考數學(二)試題

MATHEMATICS, Sylla A

PAPER 你

Algebra

Time allowed one and 3 hall hours

Attempt ALL Questions la Section A and by FOUR questions Section &

SECTION A

The

看好

啦

term at geometriesi pengerasion kë

Answer:

SECTION B

Do any FOUR questions team this Section.

Start each new question on a new page?

All decessary working must be clearly shown presentation of material.

15.

Marka will be deducted for pool

There are

Two metals A and B are to be used for making two different alloys only 253 tons of A and 161 zone of B. It the ratio by weight of A to B m the first alloy is 5:3 and that in the second is 4:7, find what weight of sach kiloj must be produced so that no metal will be left over

Candidate No. ...

6

(13

Givea Log.240.90103 d = 0.4771&_find, without using cabinat

the logarithms of 5, 8 and 12

Answer:

D.

A man Loli

量

of his money to his wife.

of the rest to his only son and half

the remainder to each of his two daughter. What traction of mis money did sach daughter escais?

Anaweel

Picavern over.

Gendit will only be given say the profert provided on the question, pa pe e

Put each

Rama [**

and

be done on the dà al law pague of

* Answer book * But

Kit be marked

(0)

Factorike

Fing the value at r

in the formula

given that

12

112 1

and 4

How many plástic Loys are producedan 3 hours 10 minutes by 40 machines] {MECZKI Which produces 16 in an hdus ?

Answer:

Three sucabers have the average 12. and three uther dutchers 3 visne sa average 12. One of the following slojemeute capresses the relativamen

Put a sick 2 in the box 1ollowing the suchtung, the two neta of autysbera

@zatama SL; →

Salve the simultaneous equati men?

3

12)

+

(4)

The two sets of cambers are identical...LIZAN.

(b) The two ents of dumbers have the saine kum...KANSA

Il The two sets of numbers have the same product.co. (a) The roeddie number is the same in the two cate of numbers, o

The differences between the largest and the middle'number and between the middle number and the amallamı qumber in both fals al numbers are all equal to 12

Answer

18

show that

(x + y) a

}

?

+

is divisible by (x-2), find the valuas ol

Y

and travelled at a uniform speed of 5 hours later, cur B lasted from

moh Towards its destination of P

Car A started from a point Pat & m..

np. towards its destination at Q nd travelled at a uniform speed of When they passed each other at 1 pm anyes more than B. They both continued their journey without changing spea Ty finally arrived at their respective destinations at the same time,

h the speras un the two care

un the same day. A had travelled 60

The 3rd term of a geometrie progression in 27 and the tih reem la » 8 Find the summon ratio.

Find the eum of bir

Esing the given graph of

add a straight line graph to solve the equation)

yax explain why the equation «2 = 2 × • ¿ ▼ Q has

Please kush over!

127

Y

. 口 1

ANSWER

[1 tysty }x} • *x*

find the possible expresstuna for

.19.

V

sa teetha M

(11)

| Anawar:{}

20.

On the given graph of

!

但是

Please MD over. }

(-3x-4=0.

{20 $1 is invested at 13 per annum, Tana at the Cajjów tartaretter *suma--na' interest for the second year. POLY LICK SÉ LA The S

The carrRCE ARE W

Gal 31.03.

(d) și DJ

03

Given that

In A

find the value of

10.

What is the relation betwee

a

a ad

O

Alawer

has no solution to K

Evaluate the following, sucrous to inner signicant figuren »/

2. 783-2.211*

yo

In making a journey, a motor car travelled for 35 minutes at an average

miles per hous. Flad ska varage spand cŵr the whole journey

Answer

Make

她 The subject of the form LED

Answer

2u

RIES

KONG PUBLIC LIBRAR

1

nuo1 un 250 (N

in the

The ratio of the mide; at Days to ine Tibe at gera *.3. If the number al giria fet causes by D wal (ust be the listed Gumbel ci quyi to make the BEW FALID DAN JA

Simplify

Answer

A regular pastagon 13 circumscribed about a circle of radius i fnch. length of the idia of the peniagaz porzadi 10. 3 atgnificant figures,

Gethe

COPEL

Ansucti

Find the

SECTION $ 180 markat

Dany FOUR questions. All accenuary working must be clearly shows.

Marks will

Je, deducted for the poor presentation of matUTNAŠ, Start new question Dil à new

Solve the equation.

and 360?.

tor angles between, d

8.

19.

Facidriz 135 - Sy".

and Y

have common purat

the graphs, write down the coordinates of theve-points

Anawer

ሓ

.0.1

{:}

Each of three clesies of radiante om (see diagram) touches the other two. Show that the a real enclosed between the cyrofè» as approximately 0, t61 sa. cm.

A wex apher;ċai báil 3 inches lo diametër ta molted and recäsi, into, wonericas butis. The diameters of two of them are 14 in. and è inn,

Whan ju the diametry of the thựd,?

A cylindrical hola in bared from and to end through a metal bar of length 50 cm. The croma section of the bar in a aquarazol,6 cm. The weight al the hollow bario 9.4 kg), and iris. of metal waigha à grn. "Find the

diarpets; of the hole quereas to tha anarose

ola mm.(Tako u na 3, 192)

Twa porta P and Q are 10 sea mites apart. A ship A travein at 15 kävis tri Les miles per hour) beiwsa che portale al taxes 13 house

ons-way trịp and stops for a quarter of an hour at each pari.. A hovercraft C travním at tớ knots and stags los ten minutes at each port. If the three 'apeeds- are considered to be withɛm, shɛoughout the journeys and if the three boats Á, Band Cys together from Pai 2 p. m., draw on the same ass graphs of thi {journays of all three boats for the duration of one trip of A from Più:Q from shu gomphula

(tạo “Times, "In wach case correct 10 5 muutes, "and)

placer, in Kew miles from 2,

Find

41 which the woris pas each other at least 15 wwa males (zom, a pors

Rich was imported from Thailand at 175 per 100. A has price oust 11 be (sold in Hong Kong cents per casty, to the nearest cant; tú maxe a přolti of

55 allowing for storage and delivery an$1.50 per gisa? (8) = HK$10p]

y micade turn. OVITK)

State the simplest expression in divided by, each of the following:-

which gives the remands do when st

*and ix + 33!

The 4th term of an arithmetical progression Find the 9th team.

ind the Bigz

The

(ii) X and Y were partners in a business sharing the $80,000 capital in the

ratio 13 respectively. After one year, 2 joined and put in $100,000. profit for the first two years were respectively $40, 000 and $150, 000, X received $800 per month from the profits for looking after the business. The reat of the 'profits were divided in proportion to the shares in the capital Find how much each had received by the end of the second yea.. From a point P the bearings, of a church and a railway crossing & are 180 and 22 respectively, from a point 500 metres due W of Pthey are 125 and 154 respectively. All the bearings are measured from the north in à clockwise direction. Calculate the distances (1) PC (0) PRC the

nearest motre

The angles af elevation and depression of the top and bottom of the 100ft high vertical wall of a building from a point at a window in the opposise building are 50% and 20%, respectively What in the horizontal distance between the buildings to the nearest fi?

Figure gives thu graph of 3 in x 4 coax for values of x from. 0 to 90. Use the given graph, adding additional ines where necessary.y to find the values of x berween 0 and 90 whani-,

(a)

3.5

maximum

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