Calendar: 1855-1856 Page 390

380 WARNEFORD SCHOLARSHIPS 13 Solve the Quadratic Equations 3x2 11 χ 4-x 14 Ten years ago man was twice as old as he was twenty years ago how old is he now 15 railway train travelled 165 miles at certain rate if its rate had been increased by miles an hour it would have reached its destination of an hour sooner than it actually did What was the rate 16 If one side of triangle be produced the exterior angle is greater than either of the interior opposite angles 17 To describe parallelogram that shall be equal to given triangle and have one of its angles equal to given rectilineal angle 18 In any right-angled triangle the square which is described upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle 19 In every triangle the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of these sides and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle 20 To describe square that shall be equal to given recti- lineal figure 21 In circle the angle in semicircle is right angle but the angle in segment greater than semicircle is less than right angle and the angle in segment less than semicircle is greater than right angle 22 If from point without circle there be drawn two straight lines one of which cuts the circle and the other meets it if the rectangle contained by the whole line which cuts the circle and the part of it without the circle be equal to the square of the line which meets it the line which meets shall touch the circle