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

Practice Assignment No. 4

Q. 1. A bag contains 5 red, 8 green and 7 white balls. One ball is drawn at random from  the bag, find the probability of getting

1. white ball or a green ball
2. neither a green ball not a red ball

Q. 2. Gulab jamun cotains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulag jaunts each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.

Q. 3. A person standing on the bank of the river observes that the angle of elevation of the top of a tree standing on opposite bank is 60º. When he moves 40 meters away from the bank, he finds the angle of elevation to be 30º. Find the height of the tree and width of the river.

Q. 4. Find the ratio in which in which the line segment joining the points A (3,-6) and B (5, 3) is divided by X axis. Also find the point of intersection.

Q. 5. If 3 time the 7^th term of an equal to 5 times the 9^th term shows that 12^th term of A.P.

Q. 6. Find the largest number which divides 615 and 963 leaving remainder 6 in each case.

Q. 7. Find all the zeros of the polynomial x3 + 3x² – 4x – 12, if one of its zeroes is -3.

Q. 8. Solve for x and y : 99x + 101 y = 499, 101x + 99y = 501.

Q. 9. A takes 3 hours more than B to walk a distance of 30 km. But if A doubles his pace, he is ahead of B by 1½ hours. Find the speed of walking.

Q. 10. The speed of a boat in still water is 15 km/hr. It can go 30 km upstream and return downstream to the original point in 4 hrs.30 minutes. Find the speed of the stream.

Q. 11. The sum of the areas of two squares is 640 sq m. If the difference in their perimeter be 64 m, find the sides of the two squares.

Q. 12. By reduction of Rs 1 per kg in price of sugar. Ritika can buy one kg. Sugar more for Rs.56. Find the original price of sugar.

Q. 13. State and prove converse of Pythagoras Theorem.

Q. 14. Prove

                           Cosec A + Cot A       =  1+ 2 Cot²A + 2 Cosec A Cot A
                             Cosec A – Cot A

Q. 15. The area of an equilateral triangle is 49√3 cm2. taking each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle. Find the area of the triangle not included in circle.

Q. 16. A cone of radius 10 cm is divided in to two parts by drawing a plane through the mid points its axis parallel to its base. Compare the volumes of the two parts.

Q. 17. If the median of the data listed below is 28.5 total of f 100, find x and y: