Graduated Problems

This resource contains two activities each containing a set of problems graduated in difficulty.

[b]Rectangles:[/b] Contains twenty seven questions requiring students to answer simple problems about the area and the perimeter of rectangles gradually becoming more challenging with questions such as find four different rectangles that have a given area. Further problems require the use of Pythagoras' theorem and relate to finding the dimensions of rectangles which have a given diagonal length, find the maximum and minimum area of a rectangle which has a give diagonal. Trigonometry is required to find the angle between the longer side and the diagonal.

[b]Pyramids:[/b] Begins with a definition and description of a pyramid and is followed by questions requiring students to find the volume of the pyramid, the perpendicular height of the pyramid and the angle between different faces.