1960-06-03 — Page 8

Mathematics -

Paper II

Time allowed - Two hours

Attempt ten questione only

育教僑華

1. (a) Construct an angle ABC suen una cos ABC = 0.4

Without using tables, obtain the values of the angle

ABC, tan ABC and cosec ABC.

(b) Simplify in terms of A;

(1) sin (180 + 8) cos (A - gou)?,

-

(11) can (A - 270) cosec (90° +A).

2. Prove the rollowing identities:

(a) ein A + COB A 1 + 2 sin A COB A

ain A cos A

=

Ỵ - 203 A

-

tan X + sec )2

(b) (1+tan X +sec X) + (1)

= 4 Bec X (1+ sec X).

日十初月五年子庚

B'E HE

第十二路

七十四國民運之官

五期星

日三月六年〇六九一公年九十四國民中

A

WAH KIU YAT PO

英文中學會考數學試題(六月二日)

SCHOOL, CERTIFICATE EXAMINATION, 1960)

僑教

育

師大校友會 經獲准成立

季軍三名,號優勝者,予獎品及。八

鞋 小組常識各五十題,二分。命題方式深膑-

,洪學,嚴非, 一改錯,計算等方法,豈範圍以得分最多者愛優,履時各組冠 等卝蠶,化學及物理各十五題,共五十蹺,解題二分。高小及製 | 各十五題,共五十題,每題二分。初申汪自然科包括博物及衛生 ⺼一六題、三角二題、北世題,每題五分,两小組及初小組蠶鬻各业 │題,每題五分、二百餘科高中部包括物理此題,化學及生物 一、共廿題包五題,初中數學包括算術、機匠、代號、 化學,幾何、三角各項;主體幾何、解釋飛劍各二題,微積分 萬一有乖一之數學及卷二自然及常識附計高中組卷一之軟型,包括 ,均俟照教育可箸當局所審定課稅及規定命題,各比饗試題,分 高中組三名,初中組兩斜,萬小及初小組各一名,分組比賽範圍 蜜,屈時也各參加學校單位分別派出大会所規定之人聽舉行,計 降,個飛仔洛克道敦梅中學舉行私立中文學校中小學自然科學比 【神紙】选九私立中文學校協會,明日上午十時至 :「此弦向各國人民

分高中、初中、高小及初小四組

舉行自然科比賽

中校協進會明日

【直接接觸計劃,是 KEIBEL PE

定八月五日舉行聯歡

我等人民對被外人民 一。實際上,此舉

所作之一種友射泥現

係

二

BGCEKKECE

別任敎港九各僑及 學行選號成立及析 必有一番無關也。

註廚署抓准成立,茲 時將返款前師大教授 -F95*=re=E<HREED--CHEEK(E 五日下午五時, 假 据监本港灣脊界先中山大學宿上同學會 定於該無救凝日大厅吳後八、謝妨你、潘:「國際址、國立 津貼學校;接近繼機 友——继括:八QF 明日繃港。 H列覆內薮政府計圈 選舉第一職。 明茶叙聯誼 校友曾於本年五月二七六人職名),同時 中大同學會

【特訊】台灣省費啞人術幣十號,參。」 校友,瀛百餘人,分·陳明中學,吳森校於上週六抵港,將於 (*)

空師區大學畢業起禨 廁者可寘黄忠恒校友 “英膪傅 假香港仁髙酒家五樓 丷下午一所至三時,

美艦梅立克號官兵

各同學參加品見、

吉祥經舉行品禇

,絕無接式,露方便

蒐集千五百磅雜誌 平時起直至3時止,

可以自退,每料

由美颗處分晗本港各校學生

美艦擁立克號,此次

[*粱逹一千五百砀 稱..此項財闋雜誌,詧渴兒女,亦可機 RE-A-SIMPUK COK + EXCE 來海訪問,將以所體 朝誥計劃之少爾卡納 專業同學,一律歡迎 昨日八景照四)稱:新聞處處長柯約誌。亨、機專·法料、法 迷自費計塞路證官、前期、後期業

消各學校。

運來贈與查證學生闖艦隻,均已參加此 MKXXHERCO JAENDESR• NOZERA 25 25 DECK||| 此誌 各國人民直接接觸所歡迎。

【柒凞號召的,再隔會篇會員者,亦

啓事

文中學會學歷史科試題(六月二日)英文中學會考縫紉科(理論)試題 六月二日

IVE

from Part II must be attempted,

組織聯合演線

院上次院會中

HVC

提出的四個

• 立法院明日院會中,並將討論談

EKSTEACEKEER

潞人,曾任內政部長等職。〔左園) 敬,爲田本飾8年六十歲,甘肅 廣東順繒入,曾任僑務委員會委員長

發購長等職。現年五十八歲,

maak LA HP TAPE SCARA

創

神

蕙酸一個革命者,固不逃避嘬任,逃避

因鼬,但因個人微鮮能源,不能負荷,葉 做的。

恐有負總統與入民之期望,所以在五月五 繼之新使礬行動,一爲加速經濟發展,切 ,并朗濆播而主動的配合有關各方面的工

SCHOOL CERTIFICATE EXAMINATION. 1968.

HISTORY

World History : 1783 - 1941.

Time allowed – Two Hours

questions are fo be attempted. ONE question

The questions you Answer from Part I must be selected from at least

wo groups. You will be allowed an extra ten minutes to read and

No writing may be done during

tudy the questions.

his time.

Group I.

Part I

Europe, 1789 - 1939.

benefits were conferred by Napoleon on Germany?

lain why Prussia played such a leading part against

leon from 1812 onwards and why she was able to do so,

did Metternich concern himself so closely with the Hire of the German and Italian states? By what

ngements in the period 1815 - 21 was he able to And his influence there so widelvo

heart of Napoleon is better than his head, " marck.) Do you agree with this estimate of leon III ?

Y

approaches were made to the establishment of a elative assembly in Russia before 1914? Account for failure of these attempts.

were the various political effects of the growth of strialism in Europe in the 19th century?

aid it become the aim of European countries in the

century to make primary education compulsory for all #dren? Explain the stages by which this point was

hed in any one country.

- 2 -

count for the emergence of two armed camps in Europe

the end of the 19th century. Why did England became Folved?

Tar was the rise of Hitler due to German Baatisfaction with the Peace of Versailles?

Group 2. The British Empire and .Commonwealth, 1783- 1941 and the United States, 1783 - 1941

in your opinion, made the greater contribution to tish colonial development - Gibbon Wakefield or Lerë Pham?

re and ror what reasons was self-government granted the Australian continent in 1855? Why was eration a much later development?

at is your view of the statement that the British Apted a policy of "divide and tule" in India?

e reasons for the growing seriousness of the Hindu- lem problem

arrangementa were made by the Statute of Westminster 1931 and what is the importance of these arrangements?

erican society was divided by strong conflicting terests.

Examine the truth of this statement with;

ference to

the making or the Constitution

the war of 1812

did the North triumph in the Civil War?

Plaus were raised as a result?

What new)

tractors explain the export or corn on such a Large Me from the United States from 1873 onward=?

having intervened in the First World War, did the

Red States retreat into Isolationism?

Group 3. The Far East, 1783 - 1941.

far was the decline of the Ch'ing Dynasty due to

Fornal causes in the 19th century? Why was it able vo

vive for so long?

e Sino-Japanese War of 1894 had very far-reaching @aequences_* Do you agree?

at part was played in the Far East by other Western

ers apart from Britain, Russia and the United States the 19th century?

- 3-

what, ways did Japan imitate Western powers after the all of the Shogunate? Why was she able to make these hanges with such rapidity?

at Tavourable circumstances was-Japan able to use to er own advantage in the period 1905 - 1915%

as the entry of the united States into the affairs of The Pacific beneficialt

w Tar had contact with the West influenced China by the ear 19119.

ccount for the growth of militarism in Japan in the 20th entury. Was there any opposition to this. inside the Country? -

PART II.

1t possible for a despotic or dictatorial goverment transform itself into a Parliamentary or democratic overnment without violence or bloodshed? Examine this Problem in the light of the history of any country or

ountries that you have studied in this period.

* he later 19th century has been described as a period of 破合台事

共整潔

***

1

e "expansion of Europe". What were the underlying uses of this? Were the general effects of this good.

bad?

y has independence been achieved more rapidly by the ropean races of the British Commonwealth than by the rican and Asiatic races? To what extent was progress Fade towards independence by the non-European races of The Empire before 1941?

at changes have occurred in the American interpretation the Monros doctrine, 1823, in the first century of its istence?

FA110se friendship and alliance with Japan?

uld China's problems have been solved on the basis of

Dat were the causes of friction between Japan and tha' Rited States from 1905 onwards. which made was Revitable in 19412-

初生举办备

HONG KONG SCHOOL CERTIFICATE EXAMINATION 1960.

DRESSMAKING THEORY,

Time allowed One hour and a half,

Answer question 1, and two other questions.

1.8. Choose one of the following cotton, linen, wool or silk, and

say what you know of its origin, manufacture 'and properties.

3.

b. Name five materials made from the one you described and indicate

opposite each the type of garment or household article for which, it would be most suitable.

What is meant by a "pixed fabric"?

Name two mixed fabrics.

What is meant by the term "synthetic" in regard to fabrica? Nage three synthetic fabrics.

t.a. You are advising each of two teenage girls on the choice of design and material for making winter party dress (Western style). One girl (A) ia tall and thin, the other (B) is short and rather i plump. Both are dark haired and brown eyed.

1

Give each girl in turn, advice as to the type of style to choose i or avoid as regards, design, colour and fabric.

b. Sketch the style of dress you would consider suitable for (a) anɑ

then what you would think most flattering to (B).

Use coloured pencils to indicate any pattern or design on the material and trimmings used and label your designs clearly. Name the seams you would use on the following positions on, garments, giving reasons for your choice.

(a) The shoulder seame of a summer nightdress for a baby.g

(b). The seams on boys' pyjamas.

(c) The side seams on a winter dress for yourself.

(a) The side/seans on a blouse made of fine poplin..

(8) The joining of the shoulder joke of a shirt blouse)to the

front Hodice.

Show by clearly labelled diagrams only, how to do two of the abovè

seano.

Describe in detail, with the aid of clear, ́bold diagrams; how you/ would carry out two of the following processes.

(11/Measure, fix up and finish the bottom hem of a flared,: [

valveteen skirt for your sister;

(11) Decorate the lower adze of a Cheong Jan with a contrasting?

piping;

(111) Make and apply a patch pocket to a summer dreka; -

(iv) Apply a zip fastener to the side opening of a tweed skirt.) 5.(1) How much material would you require for a long sleeved blouse with a straight (step) collar, worn open at the neckling? The blouse is for yourself. Give a brief explanation as "to how you. arrive at this quantity of material.

(11) Explain with the aid of diagrams how you would apply the cellar

successfully to the neckline so that the blouse may be worn open or closed at the neck.

(iii) What precautions would you take to ensure of successful machine

stitching on nylon material?

英文中學會考初級數學二試題

(六月二日)

SCHOOL CERTIFICATE EXAMINATION, 1960

ELEMENTARY MATHEMATICS II.

Time allowed. Two hours

Mathematical tables,should be Answer only TEN questions, provided, Arrows show parallel lines.

1. Without using tables, evaluate:

tables & (a) tan2 30° + 4 sin2 45o+ 1 c082, 307 b) ± 0.802 300 + 3 c082 450,

√

2. (a) Prove that, BLA 68°tan 68°

= cos 22" ses 68°cos 220 (b) Simplify: cosa tan A tan (90°

• A} cosec (90°-{A}**

3. (a) If se0 → # 13, find the value of -*

2 sin - 3 cos 8 Bin - 9 COB &

(b) Using tables, evaluate

sec 22°131 tan 57°41*

4. ABCD 18 a quadrilateral in which the angle ADC is a right angie. If the diagonal AC is perpendicular to CB, and

AC = 20, OB 21, CD 16, find sin ACD, tan CAD, COB CAD, Cosco ABC.

5. A man observes the elevation of a balloon to be 30. He, then walks one milg towards the balloon and finds the elevation to be 60°. How much further must he walk to pe directly underneath the balloon?

7,

A town is 10 miles N 10°W or another town A, while a; } third town C is N 80°E or B and N 10°E of A

Draw a diagram showing the positions of the three towna, find, either by calculation or by measurement, the distances of C from A and B.

•

ZAOBI

ZABC LADE LAND; BAD ZCAE;

Prove that BD « CE

B

and,

8. Construct a quadrilateral "ABCD, having given AB 3.0 ins.

BC 1.7 ine., CD 2.5 ins.. DA 28 ins. and BD = 2.6 ins. Measure AC,

Construct a triangle equal in area to the quadrilateral ABCD.

9. (a) ABOD is a parallelogram.

Prove that the sum of the triangles APB and CFD 1#} equal to half ABON.

3. An arc of a circle 18 2 ft. long and subtends an angle of

25 30 at the centre of the circle,

(1) the radius of the circle;

Find:

(ii) the length of the chord of the arc; and

(111) the area of the triangle formed by the two radit and

the chord.

(a) Find, without using taoles, the value or

tan 5/4

COST- tan/5 cot/5- sec/6 cosec#73 – sín 117/6. (b) Solve the following equation, giving all values of A

from O to 360 :

5. At 9.40 a.

6 tan A- 4 sin2A

1.

a yacht Y was N. 80°w. of, and 176 yd, Iron a lighthouse H. At 10.07 . Y. was N. 49°15'E of, and 99.7 yà. from H. Find-

(1) the speed of the yacht;

(ii) the direction of its course;

and

(iii) the time when it was closest to H

A straight railway is constructed on a plane hillside, the greatest slope of which rugs downwards from W. to E, and 18 inclined at an angle of 32 to the horizon. Find the compegs bearing of the railway if it is inclined at an angle of 12°30' to the horizon.

- 2 -

(a) Find the values of x and s in the following diagrams

110°

(b) Find the mumber of sides there are in a polygon if the sum of its interior angles is equal to three times that of an octagon.

Prove that if a straight line touches a circle, and from the point of contact a chord is drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate' segments.

9. (a) Construct the interior common tangents to two anon-

intersecting circles.

() In the quadrilateral ABCD, AB - 8 cm, AD = 5 cm.

and angle 11agonal AC 9 cm. anglé ABC - 60o.

CAD 30

Draw the quadrilateral, and construct a pararkeŁogram What is the área equal in area to the quadrilateral. of the parallelogram?

(Note: In attempting this question, candidates are not.

required to state the construction, but MUST show ALL construction lines on the figures.)

10. The circle MONP passes through the centre P of a chreLOJ

MNQ; OMQ is a straight line. Prove that

(1) OQ = ON;

(11) OF prodúced bisects QN at right angles.,

◊ is the centre ofF

11. ABC 18 a triangle right-angled at fa

the aquare BRAČ drawn on the side BG, remote from á. Prove that 40 bisects the angia CAB.

·

12. D is the mid-point of the side BC of the triangle ABC,

If AB AC, prove that the angle BAD is smaller than the angle DAC.

- 3 -.

(b) AD is a median of triangle ABC.

B

Prove that EXCY 16 & parallelograIR

10. Draw an angle of 105°.

0.

1

後人爲

寺虐

官法 輕

With the vertex of this angle as centre draw a circle of radius 3.5 on cutting the arms of the angle at P, & Bisect the arc PQ (either major or minor arc) at C, and construct a tangent to the circle at

11 The centres A and B of the two intersecting circles ars;

4 ins. apart;

their common chord PQ is 2,4 ins. in length, and the radius of the larger circle is 3.7 ins.' What is the radius of the smaller circle?,

12. A,B,0 are the centres

of the three circles touching one another. AB 1.4 ina,,

1.7 ins.

BC

Radius circle, centre A, 2,5 ins. Find the radius of the circle, centre C..

4 -