Wunna Pure Maths Revision Shack Kitovu Mock Qns 684B36E0828607.01847447

1 ©SHACK -MATHEMATICS DEPARTMENT 2019 Prepared by: (1) Mr. Mpagi Henry - 0774014461 /758300086 (2) Mr. Sse ntongo Leornard – 0782318244/701503577 ST. HENRY’S COLLEGE KITOVU A’LEVEL PURE MATHEMATICS P425/1 SEMINAR QUESTIONS 2019 ALGEBRA 1. Solve the simultaneous equations: (a) 52 2yx , 45 1 1 2 2y x (b) 417xy yx , 1 42 2 yxy x 2. Find the range of values of for which (a) 212  xx 21. (b) 12x 7 3. Resolve into partial fractions (a) 24 22 3  xxx xx (b) 5 2 1138 3 22  x x xx x (c) 1 12 2 2 2 22 3  x xx x 4. Solve the following equations: (a) 1 135 2x x (b)  03 349 x x (c) 5.23 log9log 2x x (d) √ √ (e) 5. Find: (a) The three numbers in arithmetic progression such that their sum is 27 and their product is 504 (b) The three numbers in a geometrical progression such that their sum 39 and their product is 729. (c) The sum of the last three terms of a geometrical progression having n terms is 1024 times the sum of the first three terms of the progression. If the third term is 5, find the last term. 2 ©SHACK -MATHEMATICS DEPARTMENT 2019 Prepared by: (1) Mr. Mpagi Henry - 0774014461 /758300086 (2) Mr. Sse ntongo Leornard – 0782318244/701503577 (d) Prove by induction that 2 2 3 3 3141....21  nn n and deduce that 14 21 12 ....5312 2 3 3 3 3 n n n n 6. Expand: (a) 21 17 x xx  in ascending powers of as far as the term in . (b) 5 2 231  xx in ascending powers of as far as the term in . (c) Find the term …