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You are not logged in. #1 20071230 22:18:34
High School Mathematics  II1. Solve: 2. Solve : 3. Using long division, show that (x+3) is a factor of . What are the other factors? 4. Find the quotient and the remainder, if any, when is divided by (a3). 5. Factorize the following: (a) x² + 17x + 60 (b) x² 5x  36. (c) x² + 9y² 6xy  25a² (d) 2x + 6y  3(x+3y)² 6. Find the Greatest Common Divisor of (a) (b) 7. A bag contains coins of denomination $5 and $2. The total value of thse coins is $1272. If the number of $2 coins is 15% of the $5 coins, find the number of coins of each denomination. 8. The sum of digits of a two digit number is 15 and if 9 is added to the number, the digits are interchanged. Find the number. 9. In how many years will $5000 amount to $6655 at 10% per annum interest compounded annually? 10. If the volumes of two cones are in the ratio 1:4 and their diameters are in the ratio 4:5, find the ratio of their heights. 11. If the height and perimeter of the base of a right circular cone are respectively 15 m and 44 m, then what is the volume? 12. The ratios of heights of two cones of equal volumes is 16:9. What is the ratio of their base areas? 13. If the numerical value of the curved surface area of a right circular cylinder is equal to the numerical value of its volume, the numerical value of the radius of the base of cyliner is ________. 14. The lateral surface of a cyliner is developed into a square whose diagonal is √5 cms. What is the area of the base of the cylinder in square cms? 15. If the diameter of the base of a closed right circular cylinder be equal to its height h, then what is its surface area? 16. A cow is tied to a pole with an 8 m long rope. What is the area of the land on which it can graze? 17. If a square is inscribed in a circle, what is the ratio of the areas of the circle and the square? 18. Find the dimensions of a rectangular room if its diagonal is 17 meters and its perimeter is 46 meters. 19. A right circular cylinder and a sphere have the same volume and same radius. The ratio of the areas of their curved surfaces is ____________. 20. If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then what is the surface area of each ball in square centimeters? Character is who you are when no one is looking. 