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

Practice Assignment No. 1

Q. 1. Is it possible to design a rectangular park of perimeter 80 m and area 400 sq. m.?

Q. 2. Find a cubic polynomial with the sum, sum of product of its zeroes factor two at a time and the product of its zeros as 2, -7, -14 respectively.

Q. 3. Which term of the A.P 121,117,113……… is its first negative term?

Q. 4. Find the length of the median of ∆ ABC passing through B having vertices at A (5, 1), B (1, 5) and C (-3,-1).

Q. 5. Determine the ration in which the line y – x + 2 = 0, divides the line joining (3,-1) and (8, 9). Also find the points of trisection.

Q. 6. The angle of elevation of  a cloud from a point 200 m above a lake is 30 and the angle of depression of it’s reflection of the cloud of the lake is 60.find the height of the cloud. Also find the distance of cloud from the point of observation.

Q. 7. A rocket is in the shape of a circular cylinder closed at the lower end and   a cone of the same radius is attached at the top. The Radius of the cylinder is 2.5 m, its height is 21 m and slant height of the cone is 8 m. calculate the total surface area of the rocket.

Q. 8. A cone of radius 10 cm is divided into two parts by drawing a plane through the mid point of its axis, parallel to its base. Compare the volume of the two parts.

Q. 9. Draw the ‘Less than’ and ‘More than’ Ogive of the following Data and find the median. Verify your answer mathematically.          

Q. 10. Cards numbered 13, 14, 15…………60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the numbered drawn on the card is (a) Divisible by 5 (b) a number which is a perfect square.

Q. 11. State and prove the BPT theorem.

Q. 12. In acute triangle ABC acute angle at B. If AD∟BC prove that AC² = AB² + BC² – 2BC.BD

13. Find the sum of all 3 digit numbers which leave remainder 2, when divided by 3.

Q. 14. Draw the graphs of the equations  x – y +1 = 0 and 3x+ 2y – 12=0.Determine the coordinates of the vertices of the triangle formed by these lines and the X axes and  shade the triangular region.

Q. 15. An umbrella has 8 ribs which are equally spaced. Assuming umbrella to be a flat circle of radius 45 cm. Find the area between the two consecutive ribs of the umbrella.

Q. 16.  Prove:

         1                _      _ 1____         =         1           _        _ 1____          
Sec A – tan A                Cos A                Cos A                Sec A  + tan A

Q. 17. Determine the value(s) of  p for which 4x² - 3px + 9 = 0 has real roots.

Q. 18. Write the relation between mean, mode and median.