THE HONGKONG GOVERNMENT GAZETTE, OCT. 26, 1906.
No. 43.
TRIGONOMETRY.
JUNIOR.
1. 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 an 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 cat A+cos" A tun2 A=1.
(2) tun A+cot A=see A cosce 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)= sa 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 pieces; Class III the third piere.
There lies a vale in Ida, lovelier
I.
Than all the valleys of Ionian hills.
The swimming vapour slopes athwart the glen,
Puts forth an arm, and erceps from pine to pine, And loiters, slowly drawn.
II.
Therefore it is said: "Though the outer and the immer (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 be not extended, though stores of wealth be not gathered together, not of such is the ruin of coun- tries." But when those in high places do the things that are unseemly aud 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 unexpectedly 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 III TO DO QUESTION I ONLY.
I.
死入入力 之鞭 更宅
有恒
蟻化為人
入處因掘之有斛許大蟻
入穴中桓遂作沸湯澆所
力所能勝者以槊刺取巡 之所或有切肉輒來聚 鞭捷能緣儿登竈 飲食
更相撞刺馬旣輕快人亦
宅上數百爲羣部指揮
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
II.
亦走
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
1919
No comments yet.
Private notes are available after approval.