ORT Mathematics case studies
ORT Mathematics · Put your knowledge to work in context.
ORT Mathematics is a multiple-choice test of quantitative competence, used to place candidates and to evidence readiness for mathematically demanding further study. It is not a curriculum-specific school-leaving paper: the questions assume standard secondary-school mathematics and then ask you to apply it in unfamiliar settings, so recall alone will not carry you. The paper is built from five domains. Algebra and Functions and Mathematical Modelling and Reasoning carry the most weight, twenty-five per cent each; Geometry and Measurement accounts for twenty, with Statistics and Probability and Number and Quantity at fifteen each. The ORT Mathematics case studies are 5 cases and about 2,164 words.
1Sanitizer Dilution with Limited Stock
LAB-3 must prepare 12 L of a 4.5% by-volume sanitizer working solution from an 18% stock solution. The mixing carboy is 15 L and has graduation marks every 0.5 L.
515 words, about 3 min2Tune-Up Pricing and the Profit Trap
A bicycle repair shop charges 30 per tune-up and currently completes about 15 tune-ups per week. The owner models weekly demand as q = 60 − 1.5p, where p is the price in dollars and q is the number of tune-ups, for 20 ≤ p ≤ 40.
457 words, about 2 min3Greenhouse Glazing and Ridge Height
A greenhouse sits on a 6 m by 10 m rectangular footprint. The vertical side walls are 2.4 m high.
404 words, about 2 min4Bakery Defect Tracing and Batch Sampling
A bakery operates two production lines. Line A makes 60% of the daily output and has a 2% defect rate for cracked or underweight loaves.
365 words, about 2 min5Shuttle Headway, Wait Time, and Induced Demand
A campus shuttle runs one bus on a closed loop. Driving time is 12 minutes per loop regardless of load.
423 words, about 2 min