NEW ZEALAND UNIVERSITY

Evening Star, Issue 2943, 25 July 1872, Page 2

NEW ZEALAND UNIVERSITY

SCHOLARSHIP EXAMINATION. NATURAL PHILOSOPHY. 1. Describe the principle of the mercurial barometer, and its application to the measurement of heights. 2. What is meant by the specific gravity of a substance ? How is it ascertained ? 3. Describe the formation of dew. 4. Contrast oceanic currents and tides, describing the phenomena of each. CHEMI STRY. 5. Explain and illustrate the difference between a mechanical and chemical change. G. What is the composition of the atmosphere? How does it become vitiated when breathed by animals ? 7. What is the composition of common table salt ? Give the characters of its elements. 8. Give the composition of sulphuric acid, nitric acid, acetic acid, chloric acid, and describe the elements of each. /.DOLGOV, 1. Mention the classes of the animal kingdom, with examples of each. 2. To what classes and orders do the following animals belong?— Penguin, cuttle-fish, sea-anemone, crayfish, eel, turtle, ostrich, seal, porpoise, bear, beaver, hedgehog, racoon, opossum, armadillo, flying fox of Asia, chamois, zebra, lemur. 3. Describe the arrangements for circulating and aerating the blood in a crab, a fish, an amphibious reptile, and a whale. 4. Describe the development of a moth from the egg. HOTANV. 5. Mention the principal divisions of the vegetable kingdom, according to the natural system, giving examples of each. 6. Describe the parts of a perfect dice cions flower, in the terms used by Liumcus in his artificial system of classification. 7. Describe the arrangement of the tissues in the stem of an oak tree, and in the stem of a palm tree. S, Mention familiar New Zealand examples of trees belonging to the logumiuosa}, myrtacoie, conifer#, palmc.r, lilfficem, and Alices, GEOLOLiY. 9. Arrange the following formations in order of ago, and fill up tiic blanks Devonian, Miocene, Liassic, Silurian, Eocene, Jurassic, Cretaceous, Pleistocene. 10. In what formations is coal chiefly found ? 11. Describe the following rocks, and the manner in which they occur :—Basalt, limestone, granite, quartzite, clay slate, saudstore, lava. 12. What formations arc chiefly characterized by the presence of Trilobites, Ammonites, Bdemnites, Graptolitcs ? 13. Describe what is meant by the strike and dip of a stratified rock. 14. Describe the meaning of Synclinal and Anticlinal arrangement; and of conformable and unconformable formations. EUCLID. 1. Define a point, a plane angle, a circle, a trapezium, and parallel straight lines. 2. Jf two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise the angles contained by these two sides equal to each other ; they shall likewise have their bases or third sides equal, and the two triangles shall be equal, and their other angles shall be equal, each to each, viz., those to which the equal sides are opposite. 3. The angles which one straight line makes with another straight line on the same side of it, arc either two right angles or are together equal to two right angles. 4. Prove that the difference between any two sides of a triangle is less than the third side.

y. All the exterior angles of any rectilineal figure, made by producing Ibe sides successively in the same direction, ai'c together equal to four right angles. ABC is a triangle, AP and BQ are drawn outside the triangle in such a manner that if produced inwardly they would bisect the angles A and B. Show that the angles PAB and QBA together exceed throe ri lit angles by the half of C.

Q. ABC is a triangle right-angled at A, and having the angle B double of the angle C ; show that OB is double of AB. 7. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the line between the points of section, is equal to the square on half the line. Express this theorem algebraically. 8. If two circles touch each other internally, the straight line which joins their centres, being produced, shall pass through the point of contact. 9. Equal straight lines in a circle are exactly distant from the centre, and conversely those which are equally distant from the centre arc equal 10. The angles in the same segment of a circle arc equal to each other. ]I. Describe an isosceles triangle having each of the angles at thp base double of the third angle,

12. Define similar rectilineal figures-and show that, in a right-angled triangle, if a perpendicular be let fall from the right angle upon the opposite side, the triangles on cither side of the perpendicular arc similar to the whole triangle and to one another.