COLLEGE OF PRECEPTORS. (Incorporated by Royal Charter.) PROFESSIONAL PRELIMINARY EXAMINATION. -MARCH, 1882. TUESDAY, March 7th-Afternoon, 3.30 to 5. ENGLISH HISTORY. 1. Relate the circumstances which led to the calling of a national assembly by popular representation to manage the affairs of the country. What important change was made in the power of this assembly during Edward II.'s reign ? 2. Exhibit, in a tabular form, the respective claims to the throne of the first two royal persons who began the war of the Roses. How did this war affect the power of the Crown? 3. When was Poyning's Law passed ? What was its one main object? Add some further particulars about it. 4. What was James II.'s reason for issuing his Declaration of Indulgence? What laws was it designed to abrogate, and what were the general results of his policy ? 5. Name the chief provisions of the Bill of Rights. What enactment did it confirm and enlarge ? Give the dates of both. 6. Give a sketch of the contest which took place in Ireland in connection with the endeavours of James II. to regain the throne. 7 What was the cause of the war which was ended by the Peace of Utrecht ? Name the parties engaged on each side, the principal generals, and the four most important battles, with dates. State the two chief provisions of the above treaty. 8. Assign dates to the Annexation of Wales, Wat Tyler's Insurrection, The Introduction of Printing, The Solemn League and Covenant, The South Sea Scheme. Give an account of one of them (one only). 1. State the fundamental principle of the Feudal System. Explain the terms Homage and Investiture. In whose reign were Feudal tenures abolished ? 2. Relate the grounds on which Henry IV. and Henry VII. claimed the crown of England. 3. Give, in chronological order, the principal events in the reign of Edward II. 4. Give an account of Jack Cade's Insurrection. 5. Write a list, with dates, of the Plantagenet Kings as distinguished from the Lancastrians and the Yorkists. 6. What do you consider to be the reasons why Cromwell decided on the execution of Charles I. ? 7. What was the parentage of William III. and Mary II., and what was their status as King and Queen of this country ? 8. What wars did England carry on between 1760 and 1800 ? Give three prominent events in connection with each war. 9. Write a short account of one of the following persons : Lanfranc, or Lord Burleigh, or Sarah Duchess of Marlborough (one only). 1. When a=2, b=l, c= -2, and d=0, find the value of V{a'-6*+* -d* - 2ab* + 20%c* — 2c*a* + 2a*d*}. 2. Divide a' +58 + 0-3abc by a+b+c; and thence reduce to its simplest form a'-78 ++ 3abc a +38-8 +3abc 78 + -a + 3abc + btc-a 3. Find the G. C. M. and L. C. M. of 23-7x*y+bay - y3 and 28 - 8xy + 3ys. 4. Solve the simple equations : – 2 1 32x+ 5y (ii.) 10x + 3y + 5 = 0, 7 24 5. Solve the quadratic equation 3x – 5 + 2 3 2x - 5 -2 6. A., B., and C. have £100 between them; four times B.'s money is equal to three times the excess of A.'s money over C.'s money, and C.'s money equals one-fifth of what A. and B. have together in excess of £10. How much money has each man ? 7. If ya 72 1 = 27, and ; then, if 3 2, y,%, a, b, c are real quantities, we must have =+3. b + + 2 a 8. The greater of two numbers exceeds the less by 2, and their product increased by unity equals four times their sum. Find the numbers. COLLEGE OF PRECEPTORS. PROFESSIONAL PRELIMINARY EXAMINATION.-MARCH, 1882. WEDNESDAY, March 8th-Morning, 9.30 to 11.30. ALGEBRA. 1. Express in its simplest form 3a (46 + 50) – 4c (3a +56)-56 (4a +3c)}. If a =), b = £, find what value c must have that the result may vanish. 2. Multiply 3x3 + 8x – 3 by m2 + 5x +6; and divide the result by 3x2 + 5x – 2. 3. Find the G. C. M of 15x8 — 13x2 – 10x+8 and 15x8 — 722 – 14x+8. Simplify (i.) 5. Solve the simple equations:(i.) (3x-2)(2x+3)+(5x +4)(42 –5)=(2x+13)(13x— 2)— 338. (ii.) 5x—12y = 34, 12x + 5y = 14. 6. Arrange in descending powers of x, and extract the square root of, 49x2 — 40x+16 – 3028 + 9x4. 7. A grocer, proposing to mix 9 lbs. of one kind of tea with 3 lbs. of a superior kind, by mistake interchanges the qualities, and so loses sixpence on each pound of the mixture. Find the price of one pound of each of the original teas, the combined prices of one pound of each sort being six shillings. (Incorporated by Royal Charter.) PROFESSIONAL PRELIMINARY EXAMINATION. -MARCH, 1882. WEDNESDAY, March 8th-Morning, 11.30 to 1. EUCLID. Books I.-IV. 1. Define-parallel straight lines, parallelogram, angle in segment of a circle, rectilinear figure described about a circle. 2. If at a point in a straight line two other straight lines on the opposite sides of it make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. For which subsequent proposition in the 1st Book is the proposition set in this question used in its demonstration ? [Prove one, and only one, case of the next proposition.] 3. If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz., either the sides adjacent to the said angles in each triangle, or sides opposite to them; then the other angles shall be equal each to each; and also tbe third angle of the one shall be equal to the third angle of the other. 4. The opposite sides and angles of parallelograms are equal. Prove that a square is formed by drawing, through the middle poiot of the square described on the hypothenuse of a right-angled triangle, straight lines parallel to the sides and meeting the sides (produced if necessary). 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts shall be equal to the rectangle contained by the two parts together with the square on the aforesaid part. 6. If a straight line be divided into any two parts, the squares on the whole line and one of the parts shall be equal to twice the rectangle contained by the two parts together with the square on the other part. 7. If a straight line passing through the centre of a circle bisect another straight line in it which does not pass through the centre, it shall cut it at right angles; and conversely, if it cut it at right angles, it shall bisect it. 8. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two right angles. 9. From a given circle to cut off a segment which shall contain an angle equal to a given rectilineal angle. 10. To inscribe a circle in a given triangle. |