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Utec Uace Applied Mathematics Paper 2 2023

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© 202 3 UTEC Mock Examinations Turn Over UGANDA TEACHERS’ EDUCATION CONSULT (UTEC) Uganda Advanced Certificate of Education APPLIED MATHEMATICS Paper 2 3 hours INSTRUCTIONS TO CANDIDATES: Answer all questions in section A and any five from section B. All necessary working must be shown clearly. Silent non – programmable scientific calculators and mathematical tables may be used. Any extra question(s) attempted in section B will not be marked. P425/2 APPLIED MATHEMATICS Paper 2 July /Aug. 202 3 3 hours 2 SECTION A (40 MARKS) 1. Given that A and B are independent events such that : 𝑃(𝐴)=58⁄ 𝑎𝑛𝑑 𝑃(𝐴1𝑈𝐵)=12⁄ ; find; a) 𝑃(𝐴𝑈𝐵1) b) 𝑃(𝐴1𝑈𝐵1) (05 marks) 2. 𝑥 0.8 1.2 1.6 𝑙𝑛𝑥 -0.24 0.18 0.48 Use linear estimation to find; (i) ln (0.5) (ii) 𝑥 𝑤ℎ𝑒𝑛 𝑙𝑛𝑥 = −0.12 (05 marks) 3. OAB is a uniform triangular lamina with vertices 0(0,0),𝐴(9,0) 𝑎𝑛𝑑 𝐵(6,6) (a) Find the coordinates of the centre of gravity of the lamina. (02 marks) (b) If the lamina is freely suspended at point 0(0,0), calculate the angle the side OA makes with the vertical. (03 marks) 4. Ranks Height 1 2 3 4 5 6 7 Mass 2 1 4 3 7 5 6 The heights and corresponding masses of 7 tourists were taken, and ranked as shown. Calculate the spearman’s rank correlation coefficient for this data. Comment on your result. (05 marks) 5. The velocity of a particle after 𝑡 seconds is; A O B 3 12𝑡2𝒊 + (8𝑡+23)𝒋 𝑚𝑠−1. Calculate the average speed of particle in the time interval 𝑡=1 𝑡𝑜 𝑡=3 𝑠. (05 marks) 6. Given that 𝑥=1.25 (2𝑑𝑝𝑠); 𝑦=1.600 (3 𝑑𝑝𝑠), calculate the interval within which the exact value of 𝑥𝑦 lies. Deduce the maximum error in 𝑥𝑦. (05 marks) 7. In any trial, the probability that a head occurs when …
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Utec Uace Applied Mathematics Paper 2 2023, is an educational document on StudyUganda.com. This resource includes: "© 202 3 UTEC Mock Examinations Turn Over UGANDA TEACHERS’ EDUCATION CONSULT (UTEC) Uganda Advanced Certificate of Education APPLIED MATHEMATICS Paper 2 3 hours INSTRUCTIONS ……" (Format: PDF) — 297.25 KB, 5 pages. Added July 23, 2026.

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