7. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 8. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 9. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 10. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. V. 1. If a = 1, b = 3, c = 5, d = 7, find the value of a-2b-[3c-d-{3a-(5b-c-8d)} — 26]. 2. Simplify (x —3) — (3 − x) (1 − x) — (x − 3) (5 — 2x). 3. From (a+b)-2bx take {(a+b) (ax) — (a−b) (b −x)}. 13 x1 — 55 x3 y + 13 x2 y2 — 13 xy3 +y⋆ by x2 - xy + § y2. 5. Find the G. C. M. of 25-112-9 and 4+11x++ 81. 9. Find a number which is as much greater than 63 as its half is less than 93. A and B have the same income, A puts by of his, but B, by spending every year 8ol. more than A, finds himself at the end of three years 207. in debt; what is the income of each ? per A person swimming in a stream which runs 1 miles hour finds that it takes him four times as long to swim up the stream as it does to swim the same distance At what rate does he swim? a mile down. The wages of 10 men and 8 boys for a day amount to 17. 178.; if four men together receive one shilling more than six boys, what are the wages of each man and boy? OXFORD EXAMINATION PAPERS. RESPONSIONS. I. For Latin Prose. There were all the Nobles and all the best men that were in this land: there was the mighty multitude of English freemen, gathered to hail the return of the worthiest of their own blood. And there, surrounded by his four valiant sons, stood the great deliverer, the man who had set the king upon his throne, the man who had refused to obey his unlawful orders, who had cleared the land of his unworthy followers, but who had never swerved in his true loyalty to the king and his kingdom. Godwine stood forth; he laid his axe at the foot of the throne, and knelt before his lord the king. By the crown upon his brow, whose highest and brightest ornament was the cross of Christ, he conjured his sovereign to allow him to clear himself before the king and his people of all the crimes which had been laid against him and his house. The demand could not be refused, and the voice which had so often swayed assemblies of Englishmen, was heard once more setting forth the innocence of Godwine himself and of Harold and all his sons. II. Grammar Paper. 1. Decline, in the gen. sing., and in the plural throughout λεώς, δόρυ, οὓς, ἀνήρ, δεσπότης, σαφής, nix, caro, bos, paterfamilias, hospes, vetus. 2. Give the comparative and superlative of TÉTшV, ῥᾳδίως, ταχύς, μικρός, εχθρός, diu, dives, juvenis, humilis, prope. |