Math 30-2 Diploma case studies
Math 30-2 Diploma · Put your knowledge to work in context.
The Mathematics 30-2 Diploma is the provincial exit assessment for Alberta's Mathematics 30-2 course, the pathway typically taken by students who need mathematical reasoning, statistics and probability rather than the calculus-oriented Mathematics 30-1 route. It is intended for Alberta high school students completing Mathematics 30-2, along with mature or out-of-province candidates arranging equivalency through the appropriate authority. The exam samples four organizing strands: logical reasoning, probability, relations and functions, and trigonometry, with each strand carrying roughly a quarter of the available marks. That balance rewards breadth, so candidates should treat each strand as equally important rather than over-investing in the algebra-and-function work that dominates classroom time. The Math 30-2 Diploma case studies are 5 cases and about 2,663 words.
1The Tournament Seeding Puzzle
A student council is seeding eight teams into a single-elimination bracket for a charity tournament. The organizer claims the bracket is fair because 'every team has the same chance.' A student notices that the bracket has three rounds: quarterfinals, semifinals, and final.
539 words, about 3 min2The Raffle With Replacement Confusion
A school fundraiser sells 200 raffle tickets. There are 5 prize draws.
405 words, about 2 min3The Balloon Launch Function
A physics class launches a model rocket and records its height over time. The height h(t) in metres after t seconds is modeled by h(t) = −5t² + 40t + 2 for 0 ≤ t ≤ 8.
631 words, about 3 min4The Ramp Angle Decision
A city is building a wheelchair ramp to a community centre entrance that is 1.2 m above ground. Accessibility guidelines require the ramp angle to be no more than 4.8°.
548 words, about 3 min5The Survey Logic Trap
A student council surveys 120 students about two optional activities: a movie night (M) and a games night (G). Results: 70 students attended M, 50 attended G, and 30 attended both.
540 words, about 3 min