5402-1906-Report-by-the-Examiners-of-Queen-s-College — Page 1

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THE HONGKONG GOVERNMENT GAZETTE, OCT. 26, 1906.

No. 43.

TRIGONOMETRY.

JUNIOR.

I. What are the six commonly used trigonometrical ratios? Explain them and draw a figure to show what you mean,

2. A ship steaming North at 12 miles au hour sights a lighthouse bearing North East. A quarter of an hour later the lighthouse bears due

How far off the lighthouse is the ship passing?

East.

3. Prove that :——

(1) sin2 A cot2 A+cos“ A tan2 A=1.

(2) tan A+cot A=sre_A_ cosee A.

4. Define a radian and find the number of radians in each interior augle of a regular hexagon.

5. What is meant by a compound angle? Prove that sin (A+B)= s A cos B+cos A sin B.

No. 44.

TRANSLATION FROM ENGLISH

INTO CHINESE.,

Class I to attempt the first two pieces; Class II the second and third picces; Class III the third piece.

There lies a vale in Ida, lovelier

I.

Thau all the valleys of Ionian hills.

The swimming vapour slopes athwart the glen,

Puts forth an armi, and creeps from pine to pine, And loiters, slowly drawn.

II.

Therefore it is said: "Though the outer and the inner (walls be unfi- nished, though there be scant show of weapons and armour, not of such are the ills of countries. Though the fields and lands he not extended, though stores of wealth be not gathered together, not of such is the ruin of collh- tries." But when those in high places do the things that are unseemly and when the humble are set against learning, in that day there shall be born sedition, and destruction shall come before the evening.

The Humble Petition of--

III.

Your Petitioner has long lived in Hongkong, quietly trading as a seller of broken iron. Now nexpectedly he has been arrested For having no licence. He begs your Honour will assist him. And he as in duty bound will ever pray, &c.

Honourable Registrar General.

No. 45.

TRANSLATION FROM CHINESE

INTO ENGLISH.

(CLASSES I, II & III.)

CLASS IH TO DO QUESTION I ONLY,

I.

死入入力 之鞭更宅

有桓

蟻化為人

入處因掘之有斛許大蟻

入穴中桓遂作沸湯燒所 力所能勝者以槊刺取逕 之所或有切肉輒來叢聚 鞭捷能緣几登竈 飲食

更相撞刺馬旣輕快人亦

宅上數百爲羣部陣指揮 從塔中出精光耀日遊走

有人皆長寸餘持槊乘馬

桓謙字敬祖太原中忽見

死在穴中

1919

II.

走

港香囘裝葉茶將須必船該

函來接昨

日是於

少報多以

兵之處何論毋