Mathematics AI: GEOMETRY Topical Past Paper Questions

[Maximum mark: 18] Zheng models the height of a section of a rollercoaster. She uses the function $$ f(x)=0.001x^{3}-0.12x^{2}+4.05x+3,\mathrm{f o r}0\leq x\leq60, $$ where x is the horizontal distance from the left-hand end of the section and $ f(x) $ is the vertical height. Dis…

[Maximum mark: 14] Mai is at an amusement park. A map of part of the amusement park is represented on the following coordinate axes. Mai's favourite three attractions are positioned at A(0, 16), B(12, 20) and C(12, 0). All measurements are in metres. (a) Write down the distance b…

## [Maximum mark: 8] On the following Voronoi diagram, the coordinates of three farmhouses are A(0, 3), B(8, 3) and C(8, 13), where distances are measured in kilometres. Each farmhouse owns the land that is closest to it, and their boundaries are defined by the dotted lines on Di…