3. An annuity of £50, payable at end of year, is put out to interest immediately after each payment; what will it amount to in 7 years at 5 per cent. simple interest?

Interest per annum for every £50 = £23

Ist £50 has 6 years' interest, 2nd £50 has 5 years', etc. ..No. of years' interest=6+5+4+3+2+1=21 years' interest. £2×21= £52 ios. of interest

But besides this interest there are the annuities for 7 years, viz., 7 times £50 or £350

..Amount required = £350+ £52 105.= £402 10s.

4. What is the difference between the interest and the dis count on £135 7s. 6d. for 9 months at 4 per cent.?

¿ Minor,

a is Minor, 2. Write a measure, of notes and rests, in each of the kinds of time indicated by the following signatures.

2.

8

=

(6) Interest of £100 for 9 months at 4 p.c.=£3 Amount of do. for do. = £103

£103 £135: £3: discount required.

3. Write over each of the following the name of the major scale, and under each that of the minor scale, of which it is the signature.

£3 × 1083

103×8

21

=

700 91 Ans.

£437,500 = £1 15s. 250,000 £13× 100 (¿) Rate per cent on company's profits=

+=

FEMALES.

= £55 10s. 8·5d.

= 53 7 2.1 = 2 3 64. Ans.

1. All the skie was of a fiery aspect, like the top of a burning oven, the light scene above torty miles round about for many nights. The noise, and cracking, and thunder of the impetuous flames, ye shrieking of women and children, the hurry of people, the fall of towers, houses, and churches, was like an hideous storme, and the aire all about so hot and inflam'd that at last one was not able to approach it, so that they were forced to stand still and let the flames burn on, wch they did for neere two miles in length and one in bredth.'

Evelyn's Diary.-The Fire of London. (a) To what period of the English language does the above passage belong?

(6) How many sentences does it contain, and of what kinds? (c) Analyse fully to the first full-stop.

(d) Parse the words in italics.

(c) * All' adj., enlarging the subject.

the skie simple subject.

was' incomplete predicate.

of a fiery aspect prep, phrase completing predicate.}

like the top of a burning oven' adj. phrase extending predicate.

'the light, etc. . .

nights' absolute phrase still further extending the predicate.

(d) seene-intrans. verb, irreg., see, saw, seen, complete part., used absolutely with light.

was-subst. verb, irreg. am, was, been, indic., pres., 3rd pers., sing., agreeing with (it) the different noises making the one storm.

like-adj. used predicatively of (it) the noise.

an-indef art. or adj. limiting storme.

hideous-adj. qual. storme.

storme-com. noun, neut., sing. obj. gov. by (to); or dative

2. Show that the English language furnishes proof of the various races that have inhabited our country.

The English language affords evidence of the different races which have inhabited our country from the traces of their languages found in everyday words, but more especially in the names of places. For example, we have traces

of the Celts in Kent, Avon, Ouse, Dee, Derwent, Pen-ygant, etc.

of the Romans in Stratford, Lincoln, Chester, Doncaster, Tadcaster, etc.

of the Danes in. Grimsby, Scawfell, Stockgill, Force, Langholm, Wansbeck.

French had a greater hold on the upper classes and in Law Courts. To this day the royal assent to Bills is announced in Parliament in the French words Le Roi, or, La Reine le veut. The O Yes of the Crier is a relic of the French ouiez! hear.

Geography.

1. Draw a map of the Western shores of the Pacific Ocean. 2. Write a letter, as from a young man who has been travelling in South America, describing what he has seen; especially the mountains, rivers, forests, beasts, birds, and general appearance of the country.

LONDON, 25th February, 1882. DEAR SIR,--Having been travelling in South America, I shall endeavour to give you some information about that country.

In no part of the world are the natural features more boldly marked. Its mountains, rivers, and plains are on a scale of unusual magnificence. The gigantic Andes are the longest unbroken range of lofty summits on the globe. They extend from the Strait of Magellan to the Isthmus of Panama, a length of 4,400 miles, and enclose table-lands whose general elevation is 6,000 ft. above sea-level. Chimborazo, Aconcagua, Sahama, and Gualatieri are among the highest summits, and Cotopaxi is the most dreaded of all the volcanoes.

The Amazon, navigable for 2,000 miles, flows eastward about 4,000 miles, expanding before it reaches the Atlantic into an estuary 180 miles wide. Next to it in magnitude is the La Plata, which, 200 miles from its mouth, is 30 miles wide, and after a course of 2,350 miles pours its waters into the Atlantic by a magnificent estuary 150 miles broad. The Orinoco enters the Atlantic by about fifty channels after a course of 1,480 miles. It is navigable for about 1,000 miles from its mouth, and in the beginning of its course forms a remarkable communication by the Cassiquiari with the Rio Negro, a tributary of the Amazon.

The forests of the Caracas possess inexhaustible supplies of timber, the selvas of the Amazon and of the Upper Orinoco comprising an area equal to more than six times the size of France. The primeval forests of such extent consist of trees of many different orders and immense size, clothed with climbing plants, and are so dense that the explorer has to hew his way at every step. The forest trees are palms of different speciestree-ferns, mahogany, log-wood, Brazil-wood, and the medicinal Peruvian bark is found on the higher slopes of the Andes.

Most of the animals of South America are peculiar to it. The principal wild ones are the jaguar and puma; the tapir and peccary, or American hog; the sloth, ant-eater and armadillo; opossums and monkeys; the condor, found in the Andes of the equator; the rhea, or American ostrich, parrots, and hummingbirds. The llama and alpaca are confined to the Andes of Chili and Peru, and are wool-bearing animals.

Generally speaking, its surface may be regarded as a continuation of North America, interrupted only by the Gulf of Mexico, namely, a great central plain, with the mighty chain of the Andes on the West and the secondary ranges of Brazil on the East. This great central plain exhibits the three vast basins of the Orinoco, the Amazon, and the La Plata, affording the most extensive system of inland navigation in the world. It also is divided into the llanos in the north, the selvas in the middle, and the pampas in the south.

I am, dear sir, your obedient servant, PUPIL TEACHER.

H. M. Inspector of Schools. }

SECOND PAPER.

One hour allowed for Females.

Two hours and a half allowed for Males.

History.

1. What Houses have reigned in England since 1066? Give name and date of the first Prince of each House.

2. When was the Act of Settlement passed? What are its provisions, and what change did it make in the position of the judges?

The Act of Settlement, passed in 1701, settled the Crown, in default of heirs of Anne or of William, upon the grand-daughter of James I. and daughter of Elizabeth, Queen of Bohemia, the Princess Sophia, Electress of Hanover, and her heirs being Protestants. It confirmed and added to the Bill of Rights. Some of its provisions have been repealed, but amongst those still in force are: (1) that judges connot be removed during good behaviour, and only on an address to the Crown from both Houses of Parliament; (2) that no pardon granted by the Crown can be pleaded against an impeachment of the Commons.

An alteration made in 1706 provides that any member of the House of Commons who accepts office under the Crown shall resign his seat and offer himself again for election.

3. Mention some of the leading measures taken since 1828 to ameliorate the condition of Ireland.

(1) Catholic Emancipation Act, enabling Roman
Catholics to sit in Parliament, passed

1829

(2) Irish Reform Bill, passed

1832

(3) Disestablishment and disendowment of the Irish Church

...

(4) Tenure of Land Act ...

1869 1870

(5) Irish Land Bill

1881

Penmanship.

The new Crystal Palace stands nearly north and south on the summit of Penge Hill, and is constructed almost entirely of glass, bound together with ribs and framework of iron. The entire length is 1,608 feet, and the wings 574 feet each, making a length of 2,756 feet, which with the 720 feet in the colonnade leading from the railway station to the wings, gives a total length of 3,476 feet. The width of the nave or main avenue is 72 feet, and the height 68 feet; the height from the flooring to the crown of the arch is 104 feet. The building has a magnificent transept in the centre, and one at each end. The ends of the edifice extend into large wings, which project to a considerable distance forward into the grounds. These wings are terminated with grand glass-towers, from which may be obtained extensive views of the gardens, fountains, and grounds, and also an extensive view of the surrounding country. The whole of the sides of the nave, the transept, and the divisions on either side, between the several courts of which the interior consists, are adorned with trees and plants of every clime; the whole being interspersed with fountains, statues, and other works of art. On the north-east side are ranged in consecutive order the historical galleries of architecture and sculpture, with casts of the finest remains of ancient art. On the south-east side of the nave there are similar collections of medieval antiquity. The south-west and north-west divisions of the building are devoted to the exhibition of manufactures and productions of practical utility. There are also various courts for exhibiting the productions of manufacturing industry; as the French, the mixed fabrics, the printed fabrics, the musical instruments, the Sheffield, the Birmingham, the stationery, and the Bohemian glass. The Palace has become a very favourite resort for Londoners and country visitors to town, and its first-class concerts, flower-shows, and musical festivals attract immense crowds of the higher and middle classes of society.

[All generally understood abbreviations for words may be used.]

1. If one angle of a triangle be four-thirds of a right angle, the square on the side subtending that angle is equal to the sum of the squares on the sides containing it, together with the rectangle contained by these sides.

Let the angle at BC be equal to four-thirds of a right angle, then if CB be produced the angle ABD is two-thirds of a right

angle, which is the angle of an equilateral triangle. From A let fall the perpendicular AD, then ADB is the half of an equilateral triangle and AB is double of BD. (See Euclid of 3rd year.)

Now by II. 12, the square on AC= square on AB, the

square on BC, and twice the rectangle CB-BD, but BD is = the half of BA, and.. the rectangle CB BA is equal to twice the rectangle CB BD, wherefore the square on AC is equal to the squares on AB BC and the rectangle contained by the sides CB BA. Q. E. D.

2. If a straight line be bisected and produced to any point the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.