Mathematics AA: GEOMETRY Topical Past Paper Questions

[Maximum mark: 15] A manufacturer creates an ice cream model consisting of two parts. The top part consists of a hemisphere of ice cream with radius $ r \, cm $. The bottom part consists of a cone of ice cream with radius $ r $ cm and height $ h $ cm, which is wrapped in a wafer…

[Maximum mark: 5] A monument is in the shape of a right cone with a vertical height of 20 metres. Oliver stands 5 metres from the base of the monument. His eye level is 1.8 metres above the ground and the angle of elevation from Oliver's eye level to the vertex of the cone is $ 5…

[Maximum mark:5] Point P has coordinates $ (-3, 2) $, and point Q has coordinates $ (15, -8) $. Point M is the midpoint of [PQ]. (a) Find the coordinates of M. Line L is perpendicular to [PQ] and passes through M. [2] [2] (b) Find the gradient of $L$. [2] [2] (c) Hence, write dow…