S6_MATH_1_EXAM_2026.pdf

He further stated that some corners of the new road would be based on angles satisfying the equationsin 2𝜃𝜃cos 𝜃𝜃+ 𝑠𝑠𝑠𝑠𝑠𝑠2𝜃𝜃= 1 , where the angle lies between 0° and 360°, inclusive. This made Peter even more confused. The engineer also suggested constructing a roundabout at the intersection of the two roads. He explained that three points A, B, and C had been marked, forming triangle ABC. He added that a water fountain would only be constructed if cos 𝐴𝐴+ cos 𝐵𝐵+ - Attempt any three items in total taking one item from each section. - All necessary working must be shown clearly. - Begin each item on a fresh paper. - Silent, non programmable scientific calculators and mathematical tables with a list of formulae may be used. Section A. (This Item is compulsory) 𝐴𝐴 2 sin 𝐵𝐵 2 sin 𝐶𝐶 Peter, your close friend, lives in Kampala. During the last term holidays, many people complained about traffic congestion in the city. A KCCA engineer, speaking on UBC TV, explained that a new road would be constructed as the perpendicular bisector of a road passing through the points (4, −2) and (6, 8). Peter wanted to determine the equation of this new road but did not know how to do it. This term, he asks for your help. cos 𝐶𝐶−1 = 4 sin 1 PURE MATHEMATICS Item 1. INSTRUCTIONS TO CANDIDATES. Uganda Advanced Certificate of Education Paper 1 Time: 2 Hours 30 minutes KAMSSA PRE MOCK EXAMINATIONS 2026 2 that confirms that angles A, B, and C form a triangle. Section B, PART I Lawrence is a businessman in y