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in addition to the friction of the rail, that it may be brought to rest within the space of 200 yards, the steam being thrown off ?

3. A cubical block of stone, whose edge is three feet, and its weight 2000 lbs., rests upon one of the trucks of a railway train, which is suddenly stopped ; what must be the velocity of the train in order that the block may just be overturned ?

Section 5. 1. Account for the fact that the moon presents always the same face to us.

2. Under what circumstances is an eclipse of the sun total, or annular, or partial ?

3. What is meant by the regression of the moon's nodes ? How often would the same eclipses return if there were no such regression ?

Section 6. 1. Why does the planet Venus never appear in opposition to the sun ?

xplain, by the aid of a diagram, why it is that the sun's rays falling more obliquely in winter than in summer, heat us less ?

3. What is the occasion of the variations in brightness of the planets, and of their retrograde motions ?

Section 7. 1. The sun's meridian altitude towards the south was observed to be 67 deg. 19 min. 6 sec. on a day when his eclination was 18 deg. 15 min. 19 sec. north of the equator. What was the latitude ?

2. An immersion of one of Jupiter's satellites was observed at 10 h. 11 min. 43 sec. apparent time. The apparent Greenwich time of the immersion was, by the Nautical Almanac, 8 h. 13 min. 56 sec. What is the longitude of the place of observation ?

3. The periodic time of Venus is 224 days; what is the interval between the conjunction of this planet with the sun and another ?

2.

MENSURATION AND LAND SURVEYING.

Section 1. 1. The diameter of a cylindrical vessel is 1 ft. 9 in., what is the area of its bottom ?

2. How many square yards of paving are there in a trapezium whose diagonal measures 126 ft. 3 in., and perpendiculars 58 ft. 6 in. and 65 ft. 9 in. ?

3. If the radius of the sector of a circle be 12 ft. 6 in., and the length of the arc 16 ft., what is its area ?

Section 2. 1. Describe the carpenter's sliding rule. How may the area of a rectangle be found by means of it ?

2. What is the solidity of a block of stone whose length is 3 ft. 5 in., its height 1 ft. 7 in., and its breadth 1 ft. 2 in. ?

3. The length and breadth of a rectangular pond at the top are 132 yards and 64 yards, and at the bottom 116 yards and 48 yards. The perpendicular depth is 25 feet. How many cubic yards of earth have been taken from it ?

Section 3. Find the area of an irregular plot of land from the following

notes

[blocks in formation]

THE PROPERTIES OF BODIES.- OPTICS.

(Comstock's MANUAL.)

Section 1. 1. Give examples of the divisibility of bodies. 2.

attraction of cohesion. 3.

malleability and ductility.

Section 2. 1. Give examples of the crystalline texture of bodies. Under what circumstances it it said to be dimorphous ?

2. On what principle does the regulating power of the pendulum of a clock, or the balance spring of a watch, depend ; and what is the contrivance of the 'scapement ?

3. Describe any one of the forms of the compensation pendulum, and explain it.

Section 3. 1. Show that the intensity of light varies inversely as the square of the distance between the luminous and the illuminated body. If the intensity of the light of a candle falling, at the distance of two feet, upon a screen, be represented by unity, by what number will that of the light falling upon a screen at seven feet distance, be represented ?

2. Explain what is meant by the refraction of light, and give illustrations of it.

3. Show that the effect of a concave mirror is to render parallel rays convergent. Where is the principal focus of a concave spherical mirror ?

Section 4. 1. Show that the effect of a convex lens, when placed before the eye, is to increase the visual angle, and that of a concave lens to diminish it.

2. Whence does the defect of vision, called longsightedness, arise ; and whence short-sightedness ? 3. Describe and explain the refracting telescope.

Section 5.
Describe the phenomena of the polarization of light.

Section 6.

Explain the rainbow.,

AGRICULTURAL CHEMISTRY.

Section 1. 1. By what means may oxygen gas be best procured? What are its properties, and how would you exhibit them to a class ?

2. Of what substances does the inorganic portion of plants consist? How may it be separated from the organic portion, and what proportion does it bear to it in hay and wheat ?

Section 2. 1. How may carbonic acid gas be obtained ? What are its properties?

2. Of what elements does carbonic acid consist, and in what proportions ? Whence do plants obtain it, and by what organs ? What portion of it do they give off in the act of drinking it?

Section 3. 1. How may the starch and gluten of flour be separated ?

2. Of what two substances are woody fibre, starch, gum, and sugar composed, and in what proportions ?

Section 4. 1. Whence is the inorganic or mineral portion of soils chiefly derived, and of what three substances does it principally consist ?

2. What is the chemical constitution of bone-dust, to what lands is it especially a good manure, and why ? Under what form is it best applied, and why?

3. Under what circumstances is ammonia produced naturally, what does it consist of, and on what does its efficacy as a manure depend ?

GENERAL EXAMINATION OF SCHOOL

MISTRESSES.

AUTUMN, 1848.

Write at the top of the page, your name, age, and the time that

you have been a mistress of an elementary school, the name of

your school, and of the nearest post town. This examination paper is divided into sections. You are not at

liberty to answer more than one question in each section. Your knowledge and merit will be accounted greater if you answer the

third question in each section, rather than the first or second. The questions in each examination paper are intended to afford

you an opportunity of showing the extent of your knowledge on that subject; and, if you are enabled to show a competent knowledge in a fair proportion of the subjects of examination, the committee of council will be disposed to grant you a certificate of merit.

SCRIPTURAL KNOWLEDGE.

Section 1. 1. Give an account of the patriarch Jacob, and state, briefly, the moral lessons to be learned from his history.

2. Describe and account for the condition of the kingdoms of Israel and Judah at the time of Hezekiah.

3. Give an account of the transactions in Jerusalem after the restoration of the Jews to the close of the Old Testament.

Section 2. 1. Narrate the chief events in the life of the prophet Daniel.

2. Mention the chief prophecies of Micah and Malachi, and show their fulfilment.

3. Quote the prophecies in Isaiah and Zachariah which refer to the divinity, incarnation, ministry, sufferings, and exaltation of Christ.

Section 3. 1. Give a full account of the particulars of the last week of our Lord's sojourn upon earth previous to his resurrection.

2. State, briefly, the chief events during the public ministry of our blessed Saviour. Relate instances in our Saviour's life of the devotional practices which we ought to imitate.

3. Name the females most distinguished for their graces in the New Testament, and instance in them, severally, the particular virtues which they illustrated.

4. Give an account of St. Paul's last journey to Jerusalem, and of the transaction which followed ; and illustrate from that apostle's life the various duties and graces of Christians.

Section 4. 1. Prove from the epistles of St. Paul the typical character of institutions and transactions of the Old Testament.

2. Who were the Galatians ? What are the chief subjects of St. Paul's epistle to them? Against what errors regarding the Jewish law did the apostle contend? What truths did St. Paul preach, prominently, in opposing these errors ?

3. Quote passages from the epistles to show the necessity of repentance, faith, charity, and watchfulness, and the danger of worldly-mindedness, and indifference and formality in religion, and illustrate each quotation by an example from the Holy Scriptures.

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