Sessional_Paper_1906 — Page 733

No. 43.

608

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 East. How far off the lighthouse is the ship passing?

3, Prove that: ——

(1) win A cafe A+cos A tND A 1.

(2) tau A+cot A=sec A cosrc A.

4. Define a radian and find the umber of radians in each interior angle of a regular hexagon,

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

There lies a vale in Ida, lovelier

1.

Than all the valleys of Ionian hills.

The swimming vapour slopes athwart the glen,

Puts forth an arm, 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 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 Immble 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 quay, &e.

Honourable Registrar General.

No. 5.

TRANSLATION FROM CHINESE

INTO ENGLISH.

(CLASSES I, II & III)

Class III TO DO QUESTION I ONLY.

I.

入力

蟻化减人

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 之所或有切肉輒來叢聚 鞭捷能緣ㄦ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 有人皆是寸餘持槊乘馬

桓謙字敬祖太原中忽見

死在穴中

走馬見

港香囘裝葉茶將須必船該

II.

函來接昨

日是於

少報多以

兵之處何論毋