TASC Mathematics Methods – Foundation Level 3 study materials
TASC Mathematics Methods – Foundation Level 3 study resources

TASC Mathematics Methods – Foundation Level 3 case studies

TASC Mathematics Methods – Foundation Level 3 · Put your knowledge to work in context.

The TASC Mathematics Methods – Foundation Level 3 credential is listed on the Tasmanian Assessment, Standards and Certification (TASC) website, the body that publishes senior secondary course information for Tasmanian schools and colleges. Candidates and teachers normally consult this page to understand what the course involves, how it is assessed and what prior learning supports success. At the foundation level, the emphasis is on building confidence with mathematical methods rather than on specialised extension work, so the content typically rewards steady practice, clear setting-out and the ability to explain reasoning as well as reach answers. The four broad areas that structure study are algebra and functions, calculus and rates of change, probability and statistics, and mathematical modelling and problem solving. The TASC Mathematics Methods – Foundation Level 3 case studies are 5 cases and about 2,025 words.

1

Tuning a Delivery Van's Fuel Model

A courier firm models a van's fuel use as F(v) = 0.0004v^2 + 0.35v + 6 litres per 100 km, where v is the cruising speed in km/h, valid for 40 ≤ v ≤ 110. The firm pays 1.80 per litre.

477 words, about 2 min
2

Marginal Revenue at a Market Stall

A student-run stall sells hand-painted mugs. Weekly demand is modelled as q = 240 − 6p, where p is the price in pounds and q is mugs sold, valid for 5 ≤ p ≤ 40.

404 words, about 2 min
3

Screening Test for a Warehouse Defect

A packing line produces components of which 3% are defective. An automated vision check flags a component as defective with probability 0.92 if it truly is defective, and with probability 0.05 if it is not.

355 words, about 2 min
4

Modelling a Rainwater Tank for a School Garden

A school installs a 2000-litre rainwater tank feeding a garden. Daily inflow depends on rainfall r (mm/day) and roof area 60 m², giving inflow ≈ 60r litres per day (ignoring losses).

393 words, about 2 min
5

Comparing Two Subscription Plans with Break-Even

A small tutoring business offers two plans. Plan A charges a flat 40 per month plus 12 per session.

396 words, about 2 min