ЦТ Mathematics case studies
ЦТ Mathematics · Put your knowledge to work in context.
ЦТ по математике (Централизованное тестирование по учебному предмету «Математика») is a standardized written test used in the Republic of Belarus as one of the results considered when applicants compete for places at universities and other higher-education institutions. It is administered by the Republican Institute for Knowledge Control (РИКЗ). This page is independent study material and has no official connection with that body. The test is aimed at school leavers and other entrants who need a mathematics result for admission, and it assumes the full school course: computation with numbers, powers and roots; algebraic expressions, equations and inequalities; functions and graphs; trigonometry; progressions; plane and solid geometry; elements of combinatorics and probability; and word problems. The ЦТ Mathematics case studies are 5 cases and about 1,978 words.
1Trail Mix Repackaging with Loss and Ratio Constraints
A school store is repackaging trail mix from two bulk bins. Bin X contains 24 kg of mix that is 30% nuts by mass; bin Y contains 36 kg of mix that is 55% nuts.
483 words, about 2 min2Bike-Rental Comparison with Rounding, Discount, and Tax
A youth club is comparing two bike-rental companies for a 9-person outing. Company A charges a fixed 18 lei booking fee plus 2.40 lei per bicycle per hour, billed in whole hours with any part hour rounded up.
351 words, about 2 min3Ferris Wheel Loading Window and Safety Stop
A riverside observation wheel has 16 identical gondolas equally spaced around a circle. The center is 14 m above the boarding platform, and the wheel radius is 11 m.
384 words, about 2 min4Twelve-Week Running Plan: Arithmetic vs Rounded Geometric Growth
A runner begins a 12-week programme. In week 1 she runs 18 km.
393 words, about 2 min5Cylindrical Can Cost Minimization with Thicker Ends
A food charity wants a closed cylindrical can with volume 1.2 liters (1200 cm^3). Metal for the curved side costs 0.04 currency units per cm^2, while metal for each circular end costs 0.06 per cm^2 because it is thicker.
367 words, about 2 min