VCE Foundation Mathematics case studies
VCE Foundation Mathematics · Put your knowledge to work in context.
VCE Foundation Mathematics is a Victorian Certificate of Education mathematics study accredited from 2023 and delivered under the VCAA Mathematics Study Design for Units 1 to 4. It is designed for students who want to build practical, everyday numeracy and apply mathematics in real-life contexts rather than pursue a heavily theoretical pathway. The study is organised across four areas of study - data analysis, probability and statistics; algebra, number and structure; functions, relations and graphs; and space, measurement and geometry - each weighted at 25 per cent. Assessment follows the general assessment advice and performance descriptors published by the VCAA, and examination specifications, past examinations and reports are available as support materials. The VCE Foundation Mathematics case studies are 5 cases and about 2,126 words.
1Comparing Mobile Phone Plans
Mia is comparing two mobile phone plans. Plan A charges a flat rate of 30 per month and includes 5 GB of data; extra data costs 10 per GB.
541 words, about 3 min2Estimating Wall Paint
A homeowner wants to paint the four walls of a rectangular room that is 5 m long, 4 m wide, and 2.5 m high. There is one door of area 2 m² and two windows each of area 1.5 m² that will not be painted.
365 words, about 2 min3Interpreting Survey Data
A survey of 200 students asked about their preferred study method: reading, writing, or listening. The results are: 80 prefer reading, 70 prefer writing, and 50 prefer listening.
355 words, about 2 min4Optimizing a Garden Bed
A landscape gardener is designing a rectangular garden bed that will be enclosed by a fence on three sides (the fourth side is against a wall). She has 30 metres of fencing available.
467 words, about 2 min5Probability in a Card Game
In a game, a standard deck of 52 cards is shuffled and two cards are drawn without replacement. A player wins a prize if both cards are of the same suit.
398 words, about 2 min