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Uganda Advanced Certificate Of Senior Five Principal Mathematics New Edition

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UGAND A ADVANCED CERTIFICATE OF EDUCA TION COMPETENCE BASED CURRICULUM PRINCIPAL MATHEMATICS SCENARIO QUESTIONS PREPARED BY MATHEMATICS MAESTRO The only way to learn mathematics is to do mathematics Mathematics department – 2025 Page 2 of 33 EXODUS COLLEGE SCHOOL - WAKISO ITEM ONE: The National Water and Sewerage Corporation (NWSC) is designing a water distribution syst em for three neighboring communities in Mitooma district. Each community has different water requirements and infrastructure constraints. A consultant engineer working on this project wants to determine the optimal flow rates for each community. The water distribution system is modelled by the following equations; 𝒙 + 𝟐𝒚 + 𝒛 = 𝟐𝟒𝟎𝟎 (Total available water supply in litres per minute) 𝟐𝒙 + 𝒚 + 𝟑𝒛 = 𝟑𝟗𝟎𝟎 (Pressure balancing Equation) 𝟑𝒙 + 𝟒𝒚 + 𝟐𝒛 = 𝟓𝟏𝟎𝟎 (Flow optimization Equation) Where x, y and z represent the flow rates in litres per minute in communities A, B and C. The polynomial equation; 𝑷(𝒙) = 𝒙𝟑− 𝟕𝒙𝟐 + 𝟏𝟒𝒙 − 𝟖 models the operational efficiency of the pumping systems to be used. TASKS: a) Help the Engineer to determine the optimal flow for each community. b) If the community A's water requirements increase by 200 litres per minute, what adjustments should be made to other communities to maintain the system balance? c) Determine all the possible values of "𝒙" where the efficiency of the pumping system is zero ITEM TWO: The Entebbe Municipal Council is planning to develop a new neighborhood with roads, residential areas and community center. The planning department uses a coordinate system where each unit represe nts 100 metres. An urban planner needs to design road network and determine the optimal locations for key facilities. Road A is planned to connect points P(2,3) and R(8,5) and another road B will connect points S(4,5) …
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Uganda Advanced Certificate Of Senior Five Principal Mathematics New Edition, is an educational document on StudyUganda.com. This resource includes: "UGAND A ADVANCED CERTIFICATE OF EDUCA TION COMPETENCE BASED CURRICULUM PRINCIPAL MATHEMATICS SCENARIO QUESTIONS PREPARED BY MATHEMATICS MAESTRO The only way to learn mathematics is ……" (Format: PDF) — 894.37 KB, 33 pages. Added July 23, 2026.

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