MB Applied Math 40S case studies
MB Applied Math 40S · Put your knowledge to work in context.
Manitoba Applied Mathematics 40S is a Grade 12 mathematics course in the Manitoba senior years curriculum, delivered and assessed by schools rather than by a single provincial examination. Students take it to earn a Grade 12 mathematics credit, and it is commonly chosen by learners who need a math credit for graduation and for post-secondary programs that expect numeracy but not the calculus-oriented Pre-Calculus pathway. The course builds practical mathematical reasoning across five strands: financial mathematics (compounding, annuities, loans, mortgages, budgeting), probability and statistics (including probability distributions and data analysis), relations and functions (modelling with a range of function types), trigonometry (including the sine and cosine laws and problem solving in context), and geometry and measurement (spatial reasoning, scale, and optimization-type problems). Because assessment is school-based and aligned to provincial curriculum standards, the exact test format, weighting, and timing are set locally; your teacher's course outline is the authoritative source. The MB Applied Math 40S case studies are 5 cases and about 2,117 words.
1Loan Repayment with Changing Interest Rates
A student borrows $12,000 at an annual interest rate of 6% compounded monthly. The loan is to be repaid with equal monthly payments over 5 years.
501 words, about 3 min2Quality Control at a Bottling Plant
A bottling plant fills 500 mL bottles. The fill volume is normally distributed with a mean of 500 mL and a standard deviation of 5 mL.
440 words, about 2 min3Modeling Population Growth with a Logistic Function
A small town's population is modeled by the logistic function P(t) = 12000{1 + 5e^{-0.08t}} , where t is the number of years since 2000. In 2000, the population was 2,000.
461 words, about 2 min4Surveying a Triangular Plot
A triangular plot of land has sides of lengths 50 m, 70 m, and 90 m. A surveyor needs to determine the area of the plot and the measure of the largest angle.
311 words, about 2 min5Optimizing a rectangular garden with a fixed perimeter
A homeowner wants to enclose a rectangular garden using 40 meters of fencing. One side of the garden will be against a wall and does not need fencing.
404 words, about 2 min