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Senior Five End Of Term Assessment 2025 Princpal Mathematics

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PDF 711.53 KB 3 pages Jul 23, 2026
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1 | P a g e 0 7 5 7 1 6 9 1 9 0 QOMHSK S.5 END OF TERM ASSESSMNET 2025 PRINCPAL MATHEMATICS: TIME: 2 HOURS AND 45 MINUTES INSTRUCTIONS: - Attempt ALL items in section A and any 2 items in section B - Start each on a fresh page SECTION A ITEM 1 During a treasure hunt in one of the Egyptian pyramids, the participants have gone through the first two levels that required physical touch, and on the next challenge find two puzzles that need to be solved to provide digits that show with tiles of the puzzle need to be step on to get to the treasure hunt safe, they as follow: Treasure hunters 8 A −2 B −1 C −0.5 D √5 4 +√2 E +√5 F 7 G 0 H 4 J −4 K 6 Z −√3 W −√5 X 5 P 12 Q SAFE Puzzle A : log௫5+2log ହ𝑥= 5 Puzzle B : √𝑥+5+√20−𝑥=√21+7𝑥 Task: a) Using your knowledge of algebra, solve the puzzles hence help describe a path that should be taken up by the treasure hunters to reach the safe by the stating the letter on each tile they should step on. b) The safe requires two pairs of keys of coordinates that can be got from solving the clues 2𝑥+3𝑦= 5 𝑎𝑛𝑑 𝑥𝑦= 1. Find the two pair of keys that should be used. ITEM 2 Uganda Tourism Ministry has been studying the growth in numbers of tourists coming into the country. Based on past recorded, they modelled number of tourists per year as an exponential growth model given by the formula; 𝑇=𝑇଴4௥௧. Where r is the growth rate, and t is the number of years. They discovered that in 2010, the number of the tourist who entered …

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