1961-06-04 — Page 27

荳三第七第

B-TARIKI

WAH KILI YAT PO 譏 B

日期星

日四月六年一六九一年十五國民眾

英文中學會考 初級數學二試題

英文中學會考 歷史科試題

第二第張七第

ELEMENTARY MATHEMATICS II

HISTORY

Time allowed.-. Two_hours.

待客之道

Answer only TEN questions.

1. (a) If sin X = 7/25, find, without using tables, the

values of the other five ratios.,

2 (a) Without using tables, find the value of

(b) If B =

90° A, simplify

sin A sec B

COB A cosec B

sin 60° cos 30° + sin 45° cos 459 (b) Find, by construction, the value of sec40°.

3.

Using tables, find the values of

(a) cot 72° 15' x sec 72° 15*

L.

(b)

coa 25o 32*

cot 25° 32

When the sun is 42° above the horizon, a vertical põle casts a shadow 30 ft. long on level ground. Find, by calculation, (1) the height or the pole, (ii) the length of the shadow when the sun is 67° above the horizon.

5. A ship sails 5 miles northeast, and then 4 miles northwest. Find, by calculation, its distance and bearing from the starting point.]

6

A chord of a circle is 10 cm. long, and it subtends an angle of 55' at the centre. Calculate_the_radius of the circle to the nearest millimetre..

7. Fig. (1):

350

A)

C

Fig. (11)

B

World History: 1783 1941.

Time allowed Two Hours

FIVE questions are to be attempted. ONE question from Par must be attempted. The questions you answer from Part I m.. be selected from at least TWO groups.

You will be allowed an extra ten minutes to read and study

the questions. No writing may be done during this time.

2.

3.

5.

6,

A

in figure (1), ADB, BEC. AFE and DFC are straight lines. Find x.

46 3c. Find the values of a, b, c and d.

7.

(b) In figure (ii), CAD is a straight line, 7a

2d, and

Draw a quadrilateral ABCD in which AB and CD are parallel, and AB = 9 cm., BC = 6 cm. CD = 4 cm., and AD 5 cm.

8.

J

Calculate the area of ABOD, making any necessary measurement to do so.

Fig. (iii)

PART I

Group 1- Europe 1789 - 1939.

Give an account of Napoleon's career from 1793 to 1804 Then explain what you think to be the important reason for his rise to power.

..

What arrangements were made at the Congress of Vienna Germany and Italy? Discuss briefly the general reason why these arrangements changed between 1815 and 1871.

........

Say what-historians mean, by the "Eastern Question? what ways did Unkiar-Skelessi (1833) and Berlin (1878 show the difficulties_of_solving the problem?7

Write-an-account of the main developments infinland) transport in England between 1750 and 1850.,

EITHER Staterthe terms and discuss the importance

of the Parliamentary Reform Acts of 1832, 1884-1885-19 1918,

OR Describe the main advances in medical knowledge and praetiee in the 19th century.

Give an account of the reforms made in Russia:under Alexander II. How far were they successful?

Give an account of the pre-war crises in Europe betwee 1905 and 1914, showing how they leà to the First World War.

What was the League of Nations and under what circumst was it founded? Using your knowledge of the period. 1919 1939, would you say that it was a failure?

Group II 1783

-

The British Empire and Commonwealth,

1941 and the United States, 1783. – 1941.

9. Describe the extent and organisation of the British

Empire in 1783.

In figure (iii) ABCD is a square. CP is the bisector of the angle BCA. Q is a point on CA such that CQ = .CB. Prove that AQ = QP = PB.;

10 Draw a triangle ABC right-angled at A, with B = 30° and

BC - : 8.7 cm. Divide the side AB into five equal parts geometrically and measure the length of one of these parts

.

to the nearest millimetre.

Use ruler and compasses only, and leave all your construction lines clearly visible.)

Fig. (iv)

alumitawa mkanya bucat

In rigure (iv) the chords PQ and RS of the circle, PRQS, cent re0, intersect, at X.;

If LOXP="/OXS,-prove that PQ-=RS:

(HINT: Drop perpendiculars-OM. ON (from O on to PQ and RS),

Fig.(v)]

In figure (v) the two.

circles, centres A and B, have

radii 6 cm.

and 13 cm. respectively, A and B are

25 cm. apart. Find, by any method you like. the lengths of the two common tangents PQ and XY..

此來彼

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都市人在新界高價爾地

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,

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欲知那人是誰,明天再機。

TERR! -

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誓

防電後如長見。

十下,到今治整痛楚 夏澤在「金校工來一一片中一舉成名,片,長年痂珠下根,斑大及守著 報告,黨嘗宵蹈。長峰執指大爲長弓黨徒矣。」長 中的互萍於把髮型剪成短短的沒有修飾, 窟,電爐設立,有典童灿

的難鍵取出來,七八年間,女影星柯德莉 ̇匙-將鈎鍞開咨橁俊而運·明日,如有興昍:「價金 之而出至苑之後門,伊配有門一躇球,惡則之淵 - 不 徐百怪的,但一般號化和易由電影或裝 那幾年香港女性在夏季也就互相仿效,其 馬霰桶,即令武士步入,四出大人,我產科科之輩。 我和他彼此都相識,也曾在於交塲分中季 「但他却能把有關傳妇業的————除了那

竹祁權衡的。」 遇過好幾次。我向他之間的關係僅止於此,是一 㹴在放當暢論中——應該避免談及,他是心有成他的家去暢談;中午劓去一家 他們喝酒問談,不知時間之易堂,韓瞬已至 下久已未吃到過的眞正的中鐵 KENTEKEEZER:

「而我在社會上也海有聲望和成就,所以

,熟悉的。你不是塵他也很熟嗎?一 施州学作和NG。高科,学界有看有 ~

「他是本市的知名之士,」葉式說,

·雅思茜:

誼。他安排了一天的秩序:先邀許仲德到 此只能有一天的逗留,累式决定今天一 天要陪證位老同学业玕好在他的地主之 露露然有萬斛犢憐待領,而許仲辏教授在

別異性有

10.

Give an account of the work of Lord Durham in Canada assess the results of his policy.

有山不

11.

12.

Briefly describe the part played in Commonwealth histo by any two of the following:-

(a) Gibbon Wakefield, (b) Sir George Grey, (c) Josep Chamberlain, (d) Lord Lugard.

Give an account of the circumstances of two of the following and show their importance in the history of South Africa:-

(a) The Great Trek, (b) Majuba Hill, (c) The Jameson Raid, (d) Vereeniging,

13. Describe the main details of the American Constitution agreed upon in 1787 and point out its merits at the ti

141 Illustrating your answer with a simple map, tell brief

how, the United States expanded its territory between and 1853.)

**

13. Give an account of the career of Abraham Lincoln betwe 1860 and 1865. Attempt to assess his importance.

16. What indications were there before 1914 that the Unite

States might one day become a world power?

Group III - The Far East, 1783 -1941.

17 Compare and contrast the Treaty of Nanking with the

arrangements made by China, with foreign powers in. 1858-1860.

18%

19.

What were the causes of the "Boxer rebellion"? Discus rehellion's immediate results down to 1905..

¿

Discuss the influence of (a) Tsu Hsi, (b) Yuan Shih Ka (c) Sun Yat Sen on the Chinese revolution of 1911_to

(未完謎入第七張第四寬)

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紅梅尊長:科

日斷去峰一之

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