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EXAMINATION OF TEACHERS, JULY 1875.

CLASS III. AND ASSISTANTS.

ARITHMETIC.

1. Explain the principle upon which the common system of notation proceeds.
   Write in figures—(1) Seventy billions, four thousand and two millions, one thousand and four. (2) Six hundred and one millions and twenty.

2. Multiply 6972416 by 875. Show a short method of arriving at the product in this case.

3. Multiply 8496427 by 874359.

4. Divide 694090147 by 78847.

5. What is the value of 1476½ ounces of gold, at £3 15s. 4½d. per ounce?

6. Divide £5346,916 9s. 10½d. by £6742 12s. 10¼d.

7. In 18 ingots of silver, each weighing 6 lbs. 10 oz. 17 dwts., and 6 ingots, each weighing 7 lbs. 2 ozs. 18 grs., how many dwts.?

8. Reduce 1523 tons to half-ounces.

9. How many paces of 2 ft. 8 in. each are there in 48 miles?

10. A block of 8 acres is cut up into sections of 16 poles 4 yards each; how many sections are there?

11. What weight can be carried 52 miles for the cost of carrying 5 cwt. 2 qrs. 24 lbs. a distance of 30 miles?

12. If provisions valued at £189, last 21 men for 12 weeks; how long will 36 men be in consuming the same provisions?

13. State the rules for the mental calculation of the following problems:—
    (1) To find the value of a dozen articles, the price of one article being given.
    (2) To find the value of 100 articles, the price of one being given.
    (3) To find what any number of pence per day will amount to in a year.
    (4) The same, but omitting Sundays.
    (5) To find the value of a cwt. at any number of pence per pound.
    (6) To find one year's interest at any rate per cent.

GRAMMAR.

1. Parse—

   "Take notice now, how much I (who am but one of those many English, that you have the impudence to call madmen, and unlearned, and ignoble, and wicked) slight and despise you, (for that the English nation in general should take any notice in public of such a worm as you are, would be an infinite undervaluing of themselves,) who, though one should turn you topsyturvy, and inside out, are but a grammarian: nay, as if you had made a foolisher wish than Midas did, whatever you meddle with, except when you make solecisms, is grammar still."
   Give the gender, number, and case of the nouns; the degrees of comparison of the adjectives; the class (personal, relative, adjective, etc.), person, gender, number, and case of the pronouns; and the voice, mood, tense, person, and number of the verbs. Other words are to be simply referred to the part of speech to which they belong.

2. Write, with correct punctuation, the substance of a passage read by the Examiner.

3. Write not less than thirty lines on the Province of Canterbury, choosing your own point of view—political, social, historical, geographical, or any other.

4. As a test in spelling, write a list of words dictated by the Examiner.

GEOGRAPHY.

1. Explain as accurately as you can the terms latitude and longitude. Are the degrees of latitude and longitude always of the same length? Give reasons for your answer.

2. How is Europe bounded? Through what countries do the Douro, Rhone, Po, Volga, and Elbe flow, and into what seas do they fall? Give the position of Stockholm, St. Petersburgh, Hamburg, Brussels, Lyons, Lisbon, Naples, Constantinople.

3. Suppose a vessel sailing from Kamtschatka to Calcutta, and thence to Suez, through what seas and straits and near what islands would it pass?