PURE MATHS WEC MOCK.pdf

fe$) CamScanner INSTRUCTIONS TO CANDIDATES: PURE MATHEMATICS Uganda Advanced Certificate of Education with a list of formulae may be used. Silent, non-programmable scientific calculators and mathematical tables Paper 1 WESTERN JOINT MOCK EXAMINATIONS 3 hours July/August 2024 ©2024 Westem Joint Mock Examinations All your working must be clearly shown. Any additional question(s) attempted will not be marked, PURE MATHEMATICS VVVVV Answer all the eight questions in Section A, and any five from section B, CamScanner Begin each question on a fresh sheet of paper. P425/1 3 hours Paper 1 fe$) CamScanner 7. Evaluate i 2xvV4—x dx (05 marks) 1. Iftanx= = and cosy = = where x is reflex and y is obtuse, find without using 3x + 4y +10 = 0 and 3x + 4y—15 =0, (05 marks) Answer all the questions in this section (a) Find an expression for the n*" term of the series. (b) The polynomial f(x) = x* + ax? + bx? + cx +1 is divisible by (x + 1)? and 5. Solve the equation (log; x*)(logy, 3) = 1 (OS marks} SECTION B (40 MARKS} 3 d. tables or calculators the value of sin(x + y). (05 marks) 9. (a) Evaluate f)* ="? ax (06 marks} leaves a remainder of 12 when divided by (x - 1). Find the values of a, b . @ 8. At any point on a Cartesian curve 2 = (3x -2)(x+2) . Given that it passes 6 Page 2 of 3 10. (a) A student deposits Shs 1,200,000 once into her Savings account on which Answer five questions from this section. (b) Show that fe —“— = 4 (06 marks) 3. The sum of n terms of a particular series is given by