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Question Bank : Age Group 1415 : V1. The first term of an Arithmetic Progression is 1 and the last term is 58.5. If their sum is 714, find the number of terms. 3. The seventh term of an Arithmetic Progression is 15 and the sixteenth term is 30. Find the sum of the first 19 terms. 4. Sohail invests $25 in a bank at the beginning of each month for 36 months. If he gets $1066.50 at the end of 36 months, what is the rate of interest? 5. Mohammad invested an amount of $12,000 in a Fixed Deposit with a bank for 3 years paying interest @ 12% per annum. If the bank compounded interest half yearly, what is the maturity value of the deposit? 6. A solid metal sphere of radius 3.4 centimeters is dropped into a cylindrical can containing water. The base diameter of the cylindrical can is 8.2 centimeters. Find the rise in level of water to the nearest millimeter. 7. A cone of height 8 centimeters and base radius 6 centimeters is opened out to form a sector. Find the perimeter of the sector. 8. A cone and a cylinder have bases of equal area. The height of the cone is 9 times that of the cylinder. If the cylinder can hold 150 cubic centimeters of water, what is thecapacity of the cone? 9. If a = x²2x+1, b = x²3x+2, c = 6x6, d = 3x6, then find and . 10. Find the quotient and the remainder when is divided by (2x+1). 11. If a, b, c are real, show that the following equation has real roots: . 12. Find the value of k if the sum of the roots of the following equation is three times their product: . Character is who you are when no one is looking. 