Mathematics 8300: Ratio, proportion and rates of change Topical Past Paper Questions

P, Q, and R have positive values. P is directly proportional to Q When P = 8, Q = 2 R is inversely proportional to Q² When R = 10, Q = 3 Work out the value of R when P = 0.5 [5 marks]

£2448 is invested in an account at a rate of compound interest. One year after the investment there is £2496.96 in the account. How much is in the account four years after the investment? [3 marks] Answer £ ___

Phil sells ties. He increases the original price of each tie by 10% to £13.20 A month later he announces a sale. Phil says, “The ties will be back to their original price, because each change was by 10%” Is he correct? Tick a box. Show working to support your answer. [3 marks]