GRADE 9 MATHS EXAM SET 4. DURATION: 1 HOUR. 1. Solve the following indices: a. 36x−7 =243 ……………………………………………………………………………………………………………………………….. ………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………….. ………………………………………………………………………………………………….. (3 marks) b. 2p1/3=8 ………………………………………………………………………………………………………………………………. ……………………………………………………………………………………………………………………………….. ……………………………………………………………………………………………………… (2 marks) 2. A woman invests $5000 in an investment scheme for 5 years and earns 8% per annum compound interest. i. Calculate the amount she will earn. …………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………. ……………………………………………………………………………………………………………………………………. ……………………………………………………………………………………………………………… (4 marks) ii. Determine the compound interest after 5 years. ………………………………………………………………………………………………………………………………………. ………………………………………………………………………………………………………………………………………. ………………………………………………………………………………………………………………….. (3 marks) 3. Solve the following equations: i. 2x+7=3x+4 ……………………………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………………………………. ……………………………………………………………………………………………………… (2 marks) ii. 4x−9= −21 ………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………. …………………………………………………………………………………………………………. (3 marks) iii. 3(2x−5) 5 = 𝑥+1 2 ………………………………………………………………………………………………………………………….. …………………………………………………………………………………………………………………………. ……………………………………………………………………………………………………………………….. ……………………………………………………………………………………………………………… (3 marks) iv. −3(x−6) =−6 ………………………………………………………………………………………………………………………….. …………………………………………………………………………………………………………………………… …………………………………………………………………………………………………. (2 marks) 4. How much will you have in the bank if you invest $500 for 4 years at 4% interest rate compounded monthly. ………………………………………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………… (4 marks) 5. Solve for x i. x−1=3−2 …………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… (2 marks) ii. 3x−1=27 …………………………………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… (2 marks) iii. 2x(2x) = 16 …………………………………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………… (3 marks) BEST WISHES!!!