BQA Grade 12 case studies
BQA Grade 12 · Put your knowledge to work in context.
The BQA Grade 12 assessment is a standards-based mathematics credential for learners completing upper-secondary study. It is designed for students who can already handle algebraic manipulation and want an external benchmark showing readiness for university coursework, technical training, or entry-level analytical work. The exam samples broadly across eight domains rather than drilling a single topic: number and quantity, algebra, functions, geometry, statistics and probability, mathematical modeling, reading and written communication, and scientific reasoning with data interpretation. The weighting is uneven, so algebra and functions carry the most weight, while scientific reasoning is a smaller slice. The BQA Grade 12 case studies are 5 cases and about 2,495 words.
1The Water Tank Reversal
A town's primary water tank holds 50,000 liters when full and drains at a constant 400 liters per hour through normal demand. At time t = 0 the tank is full.
545 words, about 3 min2The Scholarship Score Cutoff
A regional scholarship awards 8,000 to students whose composite score exceeds a cutoff. Composite = 0.6 × GPA-points + 0.4 × test-percentile, where GPA-points range 0–100 and test-percentile ranges 0–100.
521 words, about 3 min3The Ramp Compliance Check
A building inspector measures a wheelchair ramp serving a public entrance. The ramp rises 1.2 meters over a horizontal run of 14.4 meters.
486 words, about 2 min4The Fertilizer Runoff Model
A lake receives nitrogen from two sources: a farm field and a wastewater plant. The farm contributes N f(t) = 40 + 3t kilograms per month, where t is months since monitoring began.
465 words, about 2 min5The Overtime Pay Dispute
A warehouse worker's pay stub shows 46 hours worked in one week at a base rate of 18/hour, with gross pay of 828. The worker claims overtime was not paid.
478 words, about 2 min