II. ARITHMETIC.
(60 marks.)
1. Divide 2 + (¾ of 3¼) – ⅞ by 1½.
2. A ship is worth $16,000. If I have ⅘ of it, and sell ¾ of my share, how much have I left, and what is it worth?
3. Divide 1121.4 by -534, and prove by Vulgar Fractions.
4. Reduce 7/10 to the decimal of £2.
5. Find the Square Root of 282475249.
6. Find the Cube Root of 69426581.
7. The interest of a certain sum of money, lent for 4 years and 9 months, at 4 per cent a year, is $161.50. What was the sum lent?
8. Find the difference between the Simple and Compound Interest of £13,333, 6, 8 for 5 years at 5 per cent.
9. I bought a knife at 1/ and sold it at a profit of 24d. What was the gain per cent?
10. A can do a piece of work in 20 days of 7 hours, and B can do it in 14 days of 8 hours; how many hours a day should A and B be engaged together to finish the work in 10 days?
III. CHEMISTRY.
(80 marks.)
I. METALS:
(1.) How may the Metals be classified?
(2.) What is the proportion of Metals to Non-metals?
(3.) What Metals are represented by these symbols: Fe, Hg, K, Na, Pb, Pd, Pt, Sn?
II. ALLOYS:
(1.) What is an Alloy?
(2.) Mention some of the more important ones and their composition.
(3.) What name is given to Alloys which contain Mercury?
III. IRON:
(1.) What are the properties of Iron?
(2.) Distinguish Cast Iron, Malleable Iron, and Steel.
(3.) What are the processes by which these three states of Iron are produced; and in what does the distinction between them consist?
IV. COPPER:
(1.) In what places does Copper occur?
(2.) Mention the principal Copper ores, and the methods by which they are reduced.
(3.) What are the Tests for Copper?
V. LEAD:
(1.) Enumerate and describe the Oxides of Lead.
(2.) Give the more common Salts of Lead, and express their composition in symbols.
(3.) What is the composition of these substances: (a) Plumber's Solder, (b) Fine Solder, (c) Type Metal, and (d) Shot?
VI. SILVER:
(1.) By what process can chemically-pure Silver be obtained?
(2.) How is Silver extracted from Galena?
(3.) What are the properties of Silver?
VII. GOLD:
(1.) Mention some places where Gold is found; and give the percentage of Gold to Silver in the specimens found in those places.
(2.) Given 6 Fe SO₄ + 2 Au Cl₃ to find Gold.
(3.) What are the Tests for Gold?
VIII. TIN:
(1.) What is the principal ore of Tin, and how is it reduced?
(2.) What is Mine Tin, and what is Stream Tin?
(3.) What is Tin-plate? Describe the process by which it is made.
IV. COMPOSITION.
THE ORANGE.
(50 marks.)
V. DICTATION.
(100 marks.)
When I was a child of seven years old, my friends on a holiday, filled my pocket with half-pence. I went directly toward a shop where toys were sold for children, and being charmed with the sound of a whistle that I met by the way, in the hands of another boy, I voluntarily offered him all my money for it. I then came home, and went whistling all over the house, much pleased with my whistle, but disturbing all the family. My brothers, and sisters, and cousins, understanding the bargain I had made, told me I had given four times as much for it as it was worth, put me in mind what good things I might have bought with the rest of the money, and laughed at me so much for my folly, that I cried with vexation. This little event, however, was afterwards of use to me, the impression continuing on my mind; so that often, when I was tempted to buy some unnecessary thing, I said to myself, "Don't give too much for the whistle;" and so I saved my money.
VI. MATHEMATICAL DRAWING.
(40 marks.)
1. Bisect any given angle.
2. Find the centre of any given circle.
3. From a given point, let fall a perpendicular upon a given straight line, the point to be nearly opposite the end of the given line.
4. Construct an ellipse, the transverse diameter being 6 inches, the conjugate 4 inches.
5. Upon any straight line draw a regular pentagon.
6. Upon any straight line construct a regular octagon.
VII. GEOGRAPHY.
(50 marks.)
1. If you were asked to take a ship from Calcutta to St. Petersburg, through what seas, straits, &c., and past what countries would you sail?
2. Give the principal Volcanoes in Europe, Asia, and Africa.
3. Name the three great Rivers of China, the Provinces through which they flow, and the principal cities on their banks.
4. Give the principal Rivers in the North and West of Africa.
5. Give a short account of Soudan or Nigritia.
6. Give the principal mountain Ranges in Africa.
7. Describe the Sahara, or Great Desert.
8. Draw as full and correct a Map of Africa as you can.
VIII. GEOMETRY.
(50 marks.)
1. Define a Circle, an Isosceles Triangle, a Rhombus, and a Parallelogram.
2. From the greater of two straight lines to cut off a part equal to the less.
3. To bisect a given rectilineal angle, that is, to divide it into two equal angles.
4. To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third.
5. To draw a straight line through a given point parallel to a given straight line.
6. To describe a square upon a given straight line.
IX. GRAMMAR.
(40 marks.)
1. Parse the words in italics: "Part single or with mate Graze the sea-weed, their pasture, and thro' groves Of coral stray, or sporting with quick glance Show to the sun their waved coats dropt with gold."
2. Analyse into simple sentences: "If they eat up our food, and worry our skin and ears, we must remember that they also themselves supply abundant food both to birds and fish, on which we ourselves partly subsist, and that to three of their tribes we owe much."
3. Supply the words omitted in the following sentences: "Most of these animals are found in the sea, or attached to rocks washed by the sea, or in fresh lakes; but some of them live on land, as the snails and the slugs, so destructive to our gardens."
4. Write in full the Past Tense, Indicative, Potential, and Subjunctive, Active and Passive, of the Verb to teach.
5. Conjugate: creep, drive, flee, fly, go, hold, and slay.
6. Why are these sentences wrong?
1. Let me to do that.
2. Her father and her were present.
3. I have wrote my letter.
4. Each of my brothers in their turn tried it.
5. He is exceeding well.
X. MENSURATION.
(60 marks.)
1. The side of a square court-yard measures 88 ft. 6 in. What will it cost to pave it at 48 cents per yard?
2. What is the side of a square whose area is 945,169 square feet?
3. The area of a rectangular field is 42 ac. 2 r. 34 p. What is its length, its breadth being 1,675 links?