HSC Maths Advanced case studies
HSC Maths Advanced · Put your knowledge to work in context.
Mathematics Advanced is a Board Developed Stage 6 course in New South Wales, offered as 11255 (2 units – Year 11) and 15255 (2 units – Year 12), and taught under the Mathematics Advanced Stage 6 Syllabus (2017). It is a calculus-based course built around developing mathematics as a way of viewing and modelling the world - investigating order, relation, pattern, uncertainty and generality - and it suits students who need a strong mathematical foundation for tertiary study in disciplines where mathematical thinking matters. The HSC Maths Advanced case studies are 5 cases and about 2,037 words.
1Ferris Wheel Lighting Budget
A council is designing a Ferris wheel for a harbour festival. The wheel has radius 18 m and its centre sits 20 m above the boarding platform.
382 words, about 2 min2Skate Park Ramp Gradient
A skate park designer models a ramp profile with the curve y = 0.02x³ - 0.3x² + 1.2x for 0 ≤ x ≤ 8, where x and y are in metres. The ramp starts at ground level (0, 0) and must connect smoothly to a flat platform at x = 8.
412 words, about 2 min3Solar Panel Investment Comparison
A household is choosing between two solar financing options. Option A: pay 12,000 upfront and receive a government rebate of 3,000 after one year.
413 words, about 2 min4Rainfall and Crop Yield Analysis
An agricultural scientist records monthly rainfall (in mm) and maize yield (in tonnes per hectare) across 10 farms in one season. A scatterplot shows a generally positive linear trend.
417 words, about 2 min5Bridge Cable Parabola Inspection
A suspension bridge has a main cable modelled by the parabola y = 0.004x² - 0.48x + 20, where x is the horizontal distance in metres from the left tower and y is the cable height above the deck in metres. The cable is anchored at the left tower (x = 0) and the right tower (x = 120).
413 words, about 2 min