REVISION TEST (CLASS IX)

REVISION TEST

1. If speed of a car is 50 km/h . plot a graph for this equation

2. Which one is true

(a) perpendicular bisectors of sides of an isosceles trianglae are equal

(b) perpendicular bisectors of sides of an Equilateral trianglae are equal

(c) perpendicular bisectors of sides of an Obtuse trianglae are equal

(d) perpendicular bisectors of sides of an Acute trianglae are equal

3. A river 30 m deep and 4m wide is flowing at a speed of 60 km/h . How much water will fall in a seain 30 min .

4. What will be volume of a hollow sphere whose outer and inner radius is 14m and 7cm respectively.

5. what length of decoratve cloth 7m wide would be required for covering a conical heap of wheat which is 21m high and base radius 7m.

6. If a circle is dsrawn taking two sides of a triangle as diameter .then prove that their point of intersection lie on third side .

7. What will be the cost of painting a cylindrical bucket of radius 10mand height 14m @0.50 Rs  ,provided that there are 50 such buckets .

8. find the mean :

X=  20 ,30 ,25 ,34 ,50 ,22 ,28 ,26

F= 3 ,2 , 3, 5, 4, 6, 2, 5

9. Find the volume of the largest sphere taken out of a cube of Edge 7m. What will be the volume of the space left. If in place of cone sphere is carved out what will be the change in the volume of space left.

10. What will be the mean of first ten :

(a) Even numbers

(b) Odd numbers

(c) Prime numbers

10. What will be the volume and surface area of following if opened from the top

(a) Cube of edge 7m

(b) Cuboid of dimensions 2m x 3m x 4m       

(c) Cylinder of radius 7cm and height 21cm

(d) Cone of radius 7cm and height 14cm

11. ABC is a triangle right angle at C. A line through the mid-points M of hypotenuse AM and parallel to BC intersects AC at D. Show that (i) D is the mid –point of AC (ii) MD ┴ AC(iii) CM=MA=1/2 AB.

12. 14. ABCD is a parallelogram (||gm) in which P and Q are mid-points of opposite side AB and CD. If AQ intersects DP at S and BQ intersects CO at R, show that (i) APCQ is ||gm

(ii)DPBQ is ||gm(iii) PSQR is ||gm]

13. Prove that

(a) angle at cenre is double the angle at circumference

(b) angles on the same Arc and on the same segments are equal