Canterbury Provincial Gazette – 1874 – No. 20

Page 129

✨ Teacher Examination results



129

  1. What was the extent of the Spanish Empire on the accession of Phillip II? How had the territories which composed it been severally acquired? To what causes may be attributed the subsequent decay of the Empire?

  2. Give a short account of the Pontificate of Gregory VII. (Hildebrand.)

  3. Examine the origin of the Thirty Years' War, and sketch its progress to the battle of Lutzen. Mention the principal engagements, and the names of the most distinguished commanders. By what treaty was the war concluded, and on what terms as regards (1) religion, (2) the adjustment of boundaries?

  4. Describe the constitution, resources, and policy of the Republic of Venice in the 16th Century.

  5. Refer to instances illustrating the connection that formerly subsisted between Scotland and France. What action of the Scotch Parliament rendered the union of England and Scotland a political necessity? State the terms on which the union was ultimately effected.

  6. Explain the policy adopted by Cardinal Richelieu towards (1) the French Protestants, (2) Protestantism abroad, (3) the Nobles.

  7. Give some account of the causes, incidents, and results of the wars in which France and England were engaged during the reign of Louis XIV.

  8. Write a short life of Clarendon, Sir Robert Walpole, or Pitt (the elder). One only.

  9. Give the dates and provisions of the following treaties:—Troyes, Nylstadt, Nimeguen, Ryswick, Utrecht, Villafranca.

TRIGONOMETRY.

FIRST CLASS.

  1. Define (with reference to a diagram) the trigonometrical ratios of an angle A.

  2. Write out in a table the numerical values of the trigonometrical ratios of angles of 0°, 30°, 45°, 60°, and 90°, and of their supplements.

  3. Prove that—

(1) sin² A - cos² A = sin² A - cos² A
(2) (1 + sin A) (1 + cos A) = 2 (1 + sin A) (1 + cos A)

  1. Find the values of the other trigonometrical ratios of the angle of which the sine is ⅗.

  2. Find A from the equation tan ²A - 4 tan A + 1 = 0.

  3. At a distance of 100 feet from the foot of a tower, the tower subtends an angle of 30°, what is the height of the tower?

  4. Solve the triangles in which—

(1) a = 75, b = 75, C = 90°
(2) a = 3, b = 4, C = 90°
log 2 = 3010300, L sin 53°7' = 9.9030136,
L sin 53°8' = 9.9031084
(3) a = 96, b = 48, C = 60°



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🎓 Examination for Certificates, January 1874: Modern History (continued from previous page)

🎓 Education, Culture & Science
Education, Examination, Teachers, Certificates, Modern History, History

🎓 Examination for Certificates, January 1874: Trigonometry

🎓 Education, Culture & Science
Education, Examination, Teachers, Certificates, Trigonometry, Mathematics