SUMMATIVE ASSESSMENT – II     revision questions

MATHEMATICS             class  IX  

1. Express 5x = 8y, in the form of ax + by + c = 0.

 

2. Find whether line represented by y = 3 passes through origin or not.

 

3. Find the slant height of the cone whose radius is 9 cm and height is 12 cm.
 

4. How much ice-cream can be put into a cone with base radius 3.5 cm and height 12 cm ?

 

5.If two equal chords of a circle intersect within a circle, prove that the segments of a chord are

equal to the corresponding segments of the other chord.

 6. Draw a line segment AB5.6 cm. At point A, construct an angle of 120 , using compass. Now

construct its supplement at the point A.

7. The angles of a quadrilateral are in the ratio 1 : 2 : 2 : 3. Find the angles of the quadrilateral.

What type of quadrilateral is this ?
 

8.The radius and height of a cylinder are in the ratio 5 : 7. If its volume is 4400 cm3, find the

radius of the cylinder.

9.Let x and y be two complementary angles. Form an equation and draw its graph. Find

graphically measure of the other angle , if one of the angle is :
(a) 20 (b) 60

10.Q and R are the centres of two congruent circles intersecting each other at points C and D.

The line joining their centres intersects the circle in points A and B such that A and B do not

 

lie between Q and R. If CD6 cm and AB12 cm, determine the radius of either circle and

the distance between the centres of two circles.

11. Construct PQR, if PQ=7.5 cm, Q 90 and PR RQ 4 cm.

12. Prove that the bisectors of angles of a parallelogram form a rectangle.

13.The students of a school were asked to make and distribute 100 cylindrical penholder of

cardboard with message “Do not use plastic bags” printed on it. Each penholder was to be

of radius 3.5 cm and height 10 cm. The school had to supply the cardboards for this work.

(a) How much cardboard was required ?

(b) What value is depicted in this problem ?

14. Find the length of the cloth 1.1 m wide required to make a conical tent whose height is 12 m

and radius of the base is 5m. Also find the cost of the cloth at the rate of Rs. 70 per sq m.

15. A dome of a building is in the form of a hemisphere. From inside, it was white- washed at

the cost of Rs. 498.96. If the rate of white washing is Rs. 4 per square meter, find the :

(i) Inside surface area of the dome

(ii) Volume of the air inside the dome

16.Draw a line segment PQ of measure 7 cm. Construct its perpendicular bisector and verify it by

actual measurement.

17 .A mansion has 12 cylindrical pillars each having radius 50 cm and height 3.5 m. Find the cost

to paint the curved surface of the pillars at Rs. 20 per square meter.

18.A corn cob, shaped somewhat like a cone has the diameter of its broadest end as 4cm and

length as 20 cm. If each 1 cm2 of the surface of the cob carries an average of three grains, find

how many grains you would find on the entire cob ?