NSSCAS Mathematics (8227) case studies
NSSCAS Mathematics (8227) · Put your knowledge to work in context.
NSSCAS Mathematics (syllabus 8227) is the Advanced Subsidiary mathematics qualification in Namibia's senior secondary curriculum. It is taken in the final years of senior secondary school, after ordinary-level study, and is chosen by learners heading for science, engineering, commerce, health, education or any university programme that expects quantitative preparation. The NSSCAS Mathematics (8227) case studies are 5 cases and about 3,460 words.
1Scheduling a Disinfectant Release from a Log-Linear Decay Model
A technician at a water-treatment plant monitors the concentration C, in mg per litre, of a decaying disinfectant t minutes after dosing. The plant's sensor logged: t = 0, C = 48.0; t = 10, C = 34.1; t = 20, C = 24.2; t = 30, C = 17.2.
668 words, about 3 min2Segment Area in a Fixed-Perimeter Glass Sector
A designer is producing a curved glass panel for a hotel lobby. One component is a circular sector of radius r cm and angle θ radians, with a straight chord joining the ends of the arc.
609 words, about 3 min3Maximising Tray Volume on a Constrained Blank
A sheet-metal worker makes open-topped trays from rectangular blanks measuring 30 cm by 20 cm. A square of side x cm is cut from each corner and the flaps are folded up, giving a tray with base (30 − 2x) by (20 − 2x) and height x.
727 words, about 4 min4Lawn Area Between Two Paths and a Raised Basin Volume
A landscape architect is designing a curved lawn between two intersecting footpaths on a plan where units are metres. The upper boundary is the path y = 6x − x² and the lower boundary is y = x² − 2x; the lawn is the region enclosed between them.
700 words, about 4 min5Setting the Fill Mean Under a 5% Underweight Rule
A roastery fills nominal 250 g bags of coffee on an automated line. The filled mass is modelled as normally distributed with standard deviation 4.0 g, and the mean μ is adjustable.
756 words, about 4 min