Canterbury Provincial Gazette – 1875 – No. 32

Page 247

✨ Examination Questions



247

(5) a^2 e^2 (bc + cd + de).

(6) √a + cd - (√4b + √b).

  bd + cd

(7) ----------- - (2b - a).
abc

  1. Add together 2a - 3b + 4x^3 and 3c^4 - 9 (a - b).

  2. From 7x^3 - 4x^2y + xy^2 subtract x^2y - 3xy^2 + 6.

  3. Multiply (1) a^2 + 2ab + b^2 by a + b.
    (2) a^2 + 2ab + b^2 by a^2 - 2ab + b^2.

  4. Divide 12x^3 - 17x^2y + 3xy^2 + 2y^3 by 3x - 2y.

            (a - b)^2            b

  5. Multiply ----------- by -----------.
    b + a x(a - b)

  6. Solve (1) 4x + 4 = x + 16.
    (2) 11x + c = 4x + b.
    4x - 21 3 57 - 3x 5x - 96
    (3) ----------- + 3 --- + ----------- = 241 - ----------- - 11x.
    9 4 4 12
    x x x 1
    (4) --- + --- - --- = ---.
    2 3 4 2

  7. After A had lost 10 sovereigns with B, he wanted 8 sovereigns in order to have as many as B; and together they had 60: how many had each at first?

  8. Define Figure, Semicircle, Acute-Angled Triangle, Parallel Straight Lines, Equal Circles.

  9. To draw a straight line perpendicular to a given straight line of unlimited length from a given point without it.

  10. Any two angles of a triangle are together less than two right angles.

  11. Any two sides of a triangle are together greater than the third side.

  12. Equal triangles upon equal bases in the same straight line, and towards the same parts, are between the same parallels.

  13. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section.

  14. The angle at the centre of a circle is double of the angle at the circumference upon the same base.

ENGLISH GRAMMAR AND COMPOSITION.

CLASS D.

  1. Parse—
    There are, who to my person pay their court:
    I cough like Horace, and though lean am short.
    Ammon’s great son one shoulder had too high,
    Such Ovid’s nose, and, ‘Sir! You have an eye!’
    Go on, obliging creatures, make me see
    All that disgraced my betters, met in me.
    Say for my comfort, languishing in bed:
    ‘Just so immortal Maro held his head;’
    And when I die, be sure you let me know
    Great Homer died three thousand years ago.


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VUW Te Waharoa — PDF Canterbury Provincial Gazette 1875, No 32




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🎓 Algebra and Geometry Examination Questions (continued from previous page)

🎓 Education, Culture & Science
Algebra, Geometry, Mathematics, Class D, Examination Questions

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English Grammar, Composition, Literature, Class D, Examination Questions