Q1. (a) Given that U = 3xy and V= x y, express in terms of x and y to the simplest form. (3 marks) (b) Given that h = log5 x , express log, 125 1 4 in terms of h. (4 marks) (c) It is given that A = 4*-1 + 4*+ and y = 4*. (i) Show that A = = 17 4 (3 marks) (ii) Hence, find the value of x when A=2142, correct the final answer to four decimal places. (4 marks) Q2. (a) Given that a = log; (x -1) + log; (x+5), find the value(s) of x when a =4 and b =2. (5 marks) (b) It is given a polynomial P(x) = x' +5x +kx -9 where k is a constant. When P(x) is divided by (x+3), the remainder is 0. (i) Find the value of k. (2 marks) (ii) Find the quotient when P(x ) is divided by (x+ 3). (3 marks) (iii) Hence, factorise P(x) completely. (2 marks)Q3. (11} (b) It is given a geometric progression 6, 18, 54, .. ., 39366. (i) Determine the number of terms of the progression. (5 marks} (ii) Find the sum of all terms of the progression. (2 marks} An invesnnent grew from RM2633 to RM7300 over a 13-year period where the interest was compounded semi-annually. Determine the annual rate of the investment. (5 marks} Q4. In this question, you are required to replace LL with the last TWO (2) digits of your student ID number. (a) Given that x - 24 = 6LL , find the value of x. [Example: If your student ID number is 2201234, then you are required to replace 6LL with 634.] (3 marks) (b) Kausalyia deposited RM5LL in a savings account at an interest rate of 7% compounded annually. Find the compound amount and compound interest after 6 years. [Example: If your student ID number is 2201234, then you are required to replace RM5LL with RM534.] (4 marks) (c) A company had sales of RM5LL,000 in its first year of operation. If the sales increased by RM27,000 per year thereafter, find the sales in the 8 year and its total sales over the first 8 years of operation. [Example: If your student ID number is 2201234, then you are required to replace RM5LL,000 with RM534,000.] (5 marks) [Total : 50 marks]