Found some polynomial and other mathematics problems that are good for practices. For example @ free test papers 2018
> Secondary JC > Maths H2 > HC Prelim

(i) Sketch the curve C with equation y = (x+3)(1-x), stating clearly the coordinates of the turning point and the axial intercepts.
(ii) The line y = x + k intersects C twice. Find the set of values of k.
(iii) Without the use of a calculator, find the area of the region bounded by C and the
line y = x + 5

Some questions are very compatible to HSC type, though not all.