Calendar: 1898-1899 Page 750

CXV111 FACULTY OF SCIENCE gives Β £200 to buy him horse with promising Β 10 per cent of whatever money Β brings back Β buys the horse of who gives him 15 per cent of the price of the horse In this way Β clears altogether £28 15s What is the price of the horse YEAR It is calculated that working hours day men and boys could get piece of work done in days But if the men work for an hour day longer and the boys three hours day less at the end of three days there will still be work to do that will take three hours of the next day to finish Com- pare the capacities of man and boy can beat Β by 10 yards in quarter-mile race In 100 yards race where each runs yard second faster he can beat Β by yards What is 4's time for each race iHenauraiton YEARS II III 10 The sides of triangle are and ft Find where straight line must be drawn perpendicular to the longest side so as to bisect the triangle 11 Planes are drawn through the middle points of every three edges of cube meeting at corner and the pieces thus cut off are removed Find the surface and volume of the remaining solid the edge of the cube being feet 12 An inverted hollow cone semi-vertical angle 30 and height feet is placed with the axis vertical and filled with water heavy sphere is then placed in the water and when it touches the surface of the cone it is just immersed Find the volume of the water that is not displaced 13 model of mountainous country is made on the horizontal scale of an inch to mile but the vertical scale is an inch to 1000 feet conical mountain is 10000 feet high and miles round at the base How much material is required for the model 14 Supposing the earth and the moon to be spheres of radii 4000 and 1000 miles respectively and to be 240000 miles apart at their nearest points find the ratio of the areas of the surfaces of each other visible at those points