Gujarat Board Class 10 Math Sample Papers 2009

Gujarat Board Sample Papers 2009 for Class 10 Math

Subject – Mathematics

Class X

1. If 4 CotA = 3, find the value of (SinA – 4CosA)/(SinA + 4CosA).

2. Find the value of (sin360/2cos450) – (2sec410/3cosec490).

3. What is the mean of the data with mode 21 and median 27?

4. If √3tan2A – 3 then find A.

5. There are 25 tickets bearing numbers from 1 to 25.One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

(a) 7/25              (b) 9/25               (c) 11/12                 (d) 13/25.

6. What is the area of the largest possible square inscribed in a circle of unit radius (in sq.units).

7. Why is 11/45 a non‐terminating decimal number?

8. The decimal expansion 147/120 will terminate after how many places of decimals?

9. Which measure of central tendency is given by x coordinate of the point of intersection of the more than ogive and less than ogive.

10. If one roots of the equation px2 -14x + 8 = 0 is six times the other, then find the value of p.

11. In an AP, if a=3.5,d=0,n=101,then find an.

12. What is the ratio of the volume of a cube to that of a sphere which will fit inside cube.

13. Find the angle of elevation of the top of a tower 100 √3 m long, from a point at a distance of 100m , from the foot of the tower in a horizontal plane.

14. ABC and BDE are two equilateral triangles such that D is the mid pt. of BC. Find the ratio of the area of the triangles ABC and BDE.

15. If -5 and 2 are the zeroes of the polynomial, then find polynomial equation.

16. Find (A + B), if secA = cosecB = 15/7.

17. What is the value of k for which the system 2x+3y=5, 6x+ky=15 has infinitely many solutions.

18. The point of intersection of ogives is given by ( 20.5, 30.4). What is median?

19. Find he value of ‘k’ if following system of equations has no solutions: 3x‐y‐5=0; 6x‐2y‐k=0.

20. What is the nature of the graph of the system of the linear equation which is inconsistent?

21. If cosA = 3/5, find 9cot2A – 1.

22. What is the relation between mean, median and mode.

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