MSCE Additional Mathematics case studies
MSCE Additional Mathematics · Put your knowledge to work in context.
MSCE Additional Mathematics is the optional, more demanding mathematics paper taken alongside the Malawi School Certificate of Education. It is intended for candidates who plan to read mathematics, engineering, physical sciences, computing or economics at tertiary level, or who simply need a stronger mathematical base than the core MSCE Mathematics syllabus provides. The examination is administered by the Malawi National Examinations Board (MANEB), which publishes the current syllabus, timetable and entry arrangements on its official site; candidates should check there for the authoritative details of the session they intend to sit. The paper rewards fluency rather than memorisation. The MSCE Additional Mathematics case studies are 5 cases and about 2,120 words.
1Printing Club Pricing and Capacity Constraint
A youth printing club plans to produce revision booklets for a term. A market survey suggests that if the club charges p kwacha per booklet, monthly demand will be q = 1000 - 20p booklets, valid for 20 ≤ p ≤ 50.
402 words, about 2 min2Borehole Siting with Locus and Distance Constraints
A district water committee is siting a new borehole. On a map with coordinates in kilometres, village A is at (2, 1), village B at (10, 5), and a school S at (6, 7).
400 words, about 2 min3Savings Plans with Compounding Deposits and Affordability Cap
A student wants to buy a laptop costing K250,000. Plan A: save K4,000 in month 1 and increase the monthly deposit by K800 each month.
484 words, about 2 min4Open-Top Tank Design with a Roof Height Limit
A metal fabricator has a contract to make open-top tanks with a square base. Each tank must hold exactly 125 cubic metres.
395 words, about 2 min5Defect Attribution and Repair Budget Decision
A factory uses two machines, A and B, to make identical bulbs. Machine A produces 60% of the daily output and machine B produces 40%.
439 words, about 2 min