Mathematics Basic case studies
Mathematics Basic · Put your knowledge to work in context.
Mathematics Basic is a multiple-choice assessment of foundational mathematical reasoning, aimed at candidates who need to demonstrate practical numeracy and entry-level algebra rather than advanced or proof-based mathematics. It suits students finishing a basic mathematics requirement, adult learners returning to study, and job or program applicants who must show they can work confidently with numbers, formulas, shapes, and data. The content is organized into five domains: Number and Quantity (about 15% of the exam), Algebra (25%), Functions (20%), Geometry and Measurement (20%), and Statistics and Probability (20%). Questions test applied skill: simplifying and estimating, solving linear equations and inequalities, interpreting graphs and function notation, computing perimeter, area, volume, and unit conversions, and reading data through averages, spreads, and basic probability. The Mathematics Basic case studies are 5 cases and about 3,552 words.
1Disinfectant Batch Concentration and Dosing Tolerance
A building-services technician is preparing disinfectant for a 4-gallon sprayer batch. The concentrate label specifies a dilution of 1 part concentrate to 15 parts water and states that the concentrate contains 12.5% active ingredient by volume.
670 words, about 3 min2Food Truck Menu Mix Under Time and Item Limits
A two-person food truck sells only tacos and burritos at a weekday office-park spot. Fixed daily costs - permit, fuel, and commissary rent - total 180 regardless of how much is sold.
664 words, about 3 min3Courier Distance Function: Average Rate, Two Solutions, Invertibility
A courier van's distance from its depot is logged continuously from 8:00 to 9:30. From 8:00 to 8:30 the van drives outbound at a steady 0.6 miles per minute.
776 words, about 4 min4Entrance Ramp Compliance and a Right-Triangle Planter
A primary school is replacing a step at its rear entrance with a concrete ramp. The finished floor is 24 inches above the pavement.
767 words, about 4 min5Cold-Brew Trial Rate: Reweighting, Bias, and Sampling Error
A regional café chain is deciding whether to keep a new cold-brew drink on the menu. Staff surveyed 200 customers at a single branch on Tuesday and Wednesday afternoons between 2 and 5 pm, asking whether they had tried the drink.
675 words, about 3 min