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Mathematic Secnario Senior Five Mid Term 2025

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PDF 365.15 KB 5 pages Jul 23, 2026
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Page 1 of 5 Prepared by: Tr Ssekayombya Godfrey +256778235791 UGANDA ADVANCED CERTIFICATE OF EDUCATION THE ALIGNED CURRICULUM ADVANCED LEVEL MATHEMATICS REVISION QUESTIONS 2025 1. A treasure map uses a coordinate grid to help adventures locate hidden treasures in Kassanda district. The grid is labelled with coordinates (𝒙,𝒚) where each point represents a specific location. Two equations are used for safety of the treasures but th e travelers have no knowledge of how to identify the coordinates. These equations are 𝟓𝒙+𝟐+𝟕𝒚+𝟏=𝟑𝟒𝟔𝟖 and 𝟕𝒚=𝟓𝒙−𝟕𝟔 Task Help them to identify the location. 2. Your class teacher loses her phone after being stolen by thugs while coming to school. He decides to go to police so that the phone can be tracked using GPS coordinates. The phone’s location at different times is recorded and the police are trying to find its movement pattern. The tracking device uses a logical operation given simult aneously as 𝟐𝒙+𝟑𝒚=𝟓 and 𝟐𝒙+𝟑−𝟑𝒚+𝟐=𝟐𝟑. When they got so close to the phone, they could not tell the coordinates to locate the phone with ease. The coordinates are in meters and one point gives the position of those with the tracking device, the other point gives the position of those with the phone. Task (a) Help them find the coordinates. (b) How far is the phone from the police tracking it? 3. A robot arm moves such that the positions of its ends are described by 𝒙=𝟕+√𝟑𝐜𝐨𝐬 𝜽 and 𝒚=𝟓+𝟕𝐬𝐢𝐧𝜽 where 𝜽 is the rotational angle. The robot operator needs to determine the largest reflex angle of rotation of the robot arm if it is known that 𝒙+ 𝒚=𝟏𝟑. Task (a) Show that 49𝑥2+3𝑦2=686 𝑥+30𝑦−2329 . (b) Help the robot operator get the required rotational a ngle. 4. A pharmaceutical company produces tablets for treating a contagious disease. The company tracks …
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Mathematic Secnario Senior Five Mid Term 2025, is an educational document on StudyUganda.com. This resource includes: "Page 1 of 5 Prepared by: Tr Ssekayombya Godfrey +256778235791 UGANDA ADVANCED CERTIFICATE OF EDUCATION THE ALIGNED CURRICULUM ADVANCED LEVEL MATHEMATICS REVISION QUESTIONS 2025 1. ……" (Format: PDF) — 365.15 KB, 5 pages. Added July 23, 2026.

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