Practice Assignment For CBSE Class X Mathematics Board Examination 2009-10

Practice Assignment No. 2

Q. 1. Find the sum of all natural no. between 100 and 200 which are divisible by 4.

Q. 2. The length of minute hand of clock is 14 cm. Find the area swept by minute hand in 5 minutes.

Q. 3. A pole is 5 m high fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point A on the ground is 60 and the angle of depression of the point A from the top of the tower is 45. Find the height of the tower.

Q. 4. Two places A and B are 120 Km. apart from each other on a highway. A car starts from A and another from B at the same time. If they move in the same direction they meet in 6 hrs, if they move in opposite direction they meet in 1 hr and 12 minutes. Find the speed of cars. Use cross multiplication method for solving the equation.

Q. 5. Rohan’s mother is 26 years older than him. The product of their ages 3 years from now will be 360. Find the age of Rohan.

Q. 6. The mean of the following frequency distribution is 62.8 and sum of all frequencies is 50. Find f₁ and f₂

Q. 7. What is the largest no. that divides 626,3127 and 15628 and leaves remainder of 1,2 and 3 respectively.

Q. 8. By applying division algorithm, prove that the polynomial p(x) = x²+3x+1 is a factor of the polynomial q(x) = 3x⁴+5x³-7x²+2x+2.

Q. 9. If tan (A-B) = 1/√3 and tan (A+B) = √3 find A and B.

Q. 10. A right circular cylinder is 15 cm high and it’s base diameter is 14 cm. It is melted and recast into a sphere of diameter 7 cm. Find the number of spheres  so obtained.

Q. 11. A letter is chosen at random from the word ABHAYAAS. Find the probability that the letter chosen is i) Vowel ii) Consonant.

Q. 12. A bag contains 35 balls out of which x are blue.

1. If one ball is drawn at random. What is the probability that it will be a blue ball?
2. If 7 more blue balls are put in the bag, the probability of drawing a blue ball becomes double of the probability of part (i). find x

Q. 13. For what value of K are the points (1, 5), (k, 1) and (4, 11) are collinear.

Q. 14. Three consecutive vertices of a parallelogram are (-2,-1), (1, 0) and (4, 3). Find the coordinate of the fourth vertex.

Q. 15. The sum of the 4th and 8th terms of an A.P is 24 and sum of the 6th and 10th terms is 44. Find the first three terms of the A.P.

Q. 16. How many silver coins 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions 5.5 cm x 10 cm x 3.5 cm.

Q. 17. Prove:

         Sin A                _      _       Cos A____     ____    =  1
   Sec A + tan A-1                   Cosec A +CotA -1            

Q. 18. Name the type of triangle formed by the points (2,-2) (14,10) and (11,13)