number is not a perfect square? How are decimals pointed off? How is the square root of a common fraction found? How is the side of a square found when its area is given?

What relation do the squares described upon the sides of a rightangled triangle sustain to each other? How is the hypotenuse of a right-angled triangle found when the other sides are given? How is either side found when the hypotenuse and the other side are given? What are similar figures? What is the relation between similar surfaces?

Solve an example in cube root. Deduce from your solution a rule. What is done when there is a remainder after subtracting the last product? How are decimals pointed off? How is the cube root of a common fraction found? Give the principles relating to similar

solids.

Define a series; an ascending series; a descending series; an arithmetical progression; a geometrical progression. How is the sum of an aritmetical series found? Illustrate by an example. How is the sum of a geometrical series found? Illustrate by an example.

Define mensuration; a line; a straight line; a curved line; parallel lines; a plane surface; a curved surface; an angle; a right angle; an acute angle; an obtuse angle; a vertex of an angle; a triangle; a quadrilateral; a parallelogram; a rectangle; a polygon; a circle; the circumference of a circle; a radius of a circle; a diameter of a circle; the base of a figure; the altitude of a figure; a diagonal of a figure; the perimeter of a figure; the area of a surface.

How is the circumference of a circle obtained from its diameter? The diameter from the circumference? How is the area of a parallelogram computed? How is the area of a triangle computed? Give the rule for computing the area of a trapezium; a trapezoid; a regular polygon; a circle.

What is a solid? A prism? A parallelopipedon? A cylinder? A pyramid? A cone? A frustum? A sphere? A diameter? A radius of a sphere? The circumference of a sphere? The altitude of a solid? The convex surface of a solid?

Give the rule for finding the convex surface of a prism or cylinder; a pyramid or cone; a frustum of a pyramid or cone; a sphere. Give the rule for finding the volume of a prism or cylinder; a pyramid or cone; a frustum of a pyramid or cone; a sphere.