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## #1 2007-12-30 17:43:36

ganesh
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### High School Mathematics - I

1. What is the value of

?

2. What is the value of
?

3. What is the sum of the Arithmetic Progression
1+3+5+7+9..... to 100 terms?

4. What is the sum of the Arithmetic Progression -7+-6+-5+..... to 20 terms?

5. The first term of an Arithmtic Progression is 1 and the last term is 81. If the common difference is 2, find out how many terms are there in the Arithmetic Progression.

6. The first term of an Arithmetic progression is 1 and the last term is 101. If there are 50 terms, find out the sum of all the terms of the Arithmetic progression.

7. What is the sum of the Geometric Progression 1, 3, 9, 27 ... to 6 terms?

8. What is the sum of the Geometric Progression 1, 1/3, 1/9...to 5 terms?

9. What is the sum of n terms of the Geometric Progression 1, 1/2, 1/4, 1/8......?

10. What is the sum of the first twenty natural numbers?

11. What is 1+3+5+7....31?

12. What is the sum of 20 terms of the series 2, 4, 6, 8, ....?

13. What is the sum of squares of the first 10 Natural numbers?

14. What is the value of 1³+2³+3³+......10³?

15. What is the sum of (21+22+23+....40) equal to?

16. The sum of two numbers is 15 and their product is 56. What is the difference between the numbers?

17. If the sum of the roots of a quadratic  equation is -5 and the product of the roots is 6, find the quadratic equation.

18. The product of two numbers is 182 and their sum is 27. Find the lower of the two numbers.

19. What is the remainder when 4x³-3x²+5x-1 is divided by (x-1)?

20. Is (x+1) a factor of
?

21. What is the volume of a hemisphere of radius 7 cm?

22. What is the weight of a cylinder of radius 7 cm and height 10 cm made up of a metal which weighs 7 grams per cubic centimeter?

23. What is the compound interest on \$1000 at interest 10% per annum for 3 years compounded annually?

24. What is the curved surface area of a cone of height 14 cm and radius 10 cm?

25. What is the volume of a cube of length 5m, breadth 6m and height 3.5 m?

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