Practical Mathematics Skills Test (Suken) case studies
Practical Mathematics Skills Test (Suken) · Put your knowledge to work in context.
This independent study page provides practice for Practical Mathematics Skills Test (Suken). Its editorial learning areas include Number and algebra; Functions; Geometry and trigonometry; Statistics and probability; Calculus. The questions develop subject knowledge and application through worked reasoning, distinctions between competing answers, and practical scenarios. Study the relevant guide before attempting a mixed set, then explain the evidence or calculation that supports each answer. Topics on this exam: Number and algebra, Functions, Geometry and trigonometry, Statistics and probability, and Calculus. The Practical Mathematics Skills Test (Suken) case studies are 4 cases and about 844 words.
1A real-coefficient polynomial with one complex root
A student is checking an algebraic model whose polynomial is p(x)=x³-5x²+11x-15. All coefficients are real. A symbolic calculation suggests that 1+2i is a root, but the student has not yet produced an exact factorization. The task is to establish the remaining roots without replacing the problem by a decimal graph.
210 words, about 1 min2Profit, domain restrictions and an integer decision
A fictional workshop models the revenue from a batch of q items by R(q)=60q-q² and its total cost by C(q)=100+10q, using consistent currency units. The workshop can make at most40 items in a batch. Its planner first treats q as continuous on0≤q≤40 to locate a maximum, then returns to whole-number production quantities. The fixed cost is incurred even for a batch of zero items.
219 words, about 1 min3A line and two geometric conditions
A coordinate exercise places point A at(1,0,2). One plane passes through A and has normal vector n=(1,2,-1). A separate line starts at A with direction vector d=(2,1,0). The line is not assumed to lie in the first plane.
209 words, about 1 min4Independent defects and a noisy inspection signal
A hypothetical production model assigns every item an independent defect probability of0.10. A researcher selects five items under those stated assumptions and records the defect count X. Separately, an inspection signal is positive with probability0.90 for a defective item and with probability0.05 for a nondefective item. The researcher draws a tree diagram before interpreting a positive signal.
206 words, about 1 min