ANIL TUTORIALS Page 2 of 10 SUMMATIVE ASSESSMENT – II, 2012 II, 2012 MATHEMATICS / Class – IX / IX Time allowed : 3 hours Maximum Marks : 90 3 90 General Instructions : (i) All questions are compulsory. (ii) The question paper consists of 34 questions divided into four sections A, B, C and D. Section-A comprises of 8 questions of 1 mark each, Section-B comprises of 6 questions of 2 marks each, Section-C comprises of 10 questions of 3 marks each and Section-D comprises of 10 questions of 4 marks each. (iii) Question numbers 1 to 8 in Section-A are multiple choice questions where you are to select one correct option out of the given four. (iv) There is no overall choice. However, internal choices have been provided in 1 question of two marks, 3 questions of three marks each and 2 questions of four marks each. You have to attempt only one of the alternatives in all such questions. (v) Use of calculator is not permitted. (i) (ii) 34 8 1 6 2 10 3 10 4 (iii) 1 8 (iv) 2 3 3 4 2 (v) MA 1070 ANIL TUTORIALS,D-156,SECTOR-5,DEVENDRA NAGAR,RAIPUR,C.G,HELPLINE : 97525-09261
9
Embed
Time allowed : 3 hours Maximum Marks : 90 3 90...Page 2 of 10 SUMMATIVE ASSESSMENT – II, 2012 II, 2012 MATHEMATICS / Class – IX / IX Time allowed : 3 hours Maximum Marks : 90 General
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
ANIL TUTORIALS
Page 2 of 10
SUMMATIVE ASSESSMENT – II, 2012
II, 2012
MATHEMATICS /
Class – IX / IX
Time allowed : 3 hours Maximum Marks : 90
3 90
General Instructions :
(i) All questions are compulsory.
(ii) The question paper consists of 34 questions divided into four sections A, B, C and D.
Section-A comprises of 8 questions of 1 mark each, Section-B comprises of 6 questions of
2 marks each, Section-C comprises of 10 questions of 3 marks each and Section-D
comprises of 10 questions of 4 marks each.
(iii) Question numbers 1 to 8 in Section-A are multiple choice questions where you are to select
one correct option out of the given four.
(iv) There is no overall choice. However, internal choices have been provided in
1 question of two marks, 3 questions of three marks each and 2 questions of four marks
each. You have to attempt only one of the alternatives in all such questions.
13. Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Find the distance between their centres.
10 8 12
OR/
Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.
5 3
4
14. The distance in km of 32 engineers from their residence to their place of work were found as follows : 4, 6, 10, 12, 8, 13, 12, 9, 11, 16, 10, 18, 15, 3, 8, 4 10, 8, 7, 9, 5, 15, 18, 3, 11, 15, 2, 10, 14, 7, 6, 12. Construct a grouped frequency distribution table with class – size 5 for the data given above taking the first interval as 05.
24. In a box, there are 9 red, 8 white and 3 black balls. One ball is taken out of the bag. Find the probability that it is : (i) white, (ii) red or black (iii) not-red
9 8 3
(i) (ii) (iii)
SECTION – D /
Question numbers 25 to 34 carry 4 marks each.
25 34 4
25. In a parallelogram ABCD, E and F are the mid-points of sides AB and CD res P. (see fig.).
Show that the line segment AF and EC trisect the diagonal BD.
ABCD E F AB CD AF EC
BD
26. Construct a triangle ABC in which BC7 cm, B75 and ABBC13 cm.
ABC BC7 B75 ABBC13
OR/
Construct a triangle ABC in which BC8 cm, B60 and ABAC2.5 cm.
ABC BC8 B60 ABAC2.5
27. Draw a graph of the line x2y3. From the graph, find the coordinates of the point.
When (i) x5, (ii) y0.
x2y3
(i) x5, (ii) y0.
28. The diameter of roller 1.5 m long is 84 cm. If it takes 100 revolutions to level a playground, find the cost of leveling this ground at the rate of 50 paise per square metre.
84 1.5 100
50
OR/
The cost of painting the total outside surface of a closed cylindrical oil tank at 60 paise per sq. d.m. is Rs. 237.60. The height of the tank is 6 times the radius of the base of the tank. Find its volume correct to two decimal places.
certain thickness. Its volume is 1.104 m3. How many rectangular plants of size 1.104 m3. How many rectangular plants of size 2.3 m0.75 m0.04 m can be cut from the cuboid ?
2.3 0.75
1.104 3
2.3 0.75 0.04
34. Marks secured by a group of 10 students are as follows :
16, 18, 29, 31, 20, 23, 26, 25, 32, 20 (i) Find the mean of the data (ii) If 32 is replaced by 23 in the data, find the new mean. (iii) If each observation in the given data is increased by 5 marks, then what will be the
mean ? (iv) If two students securing 16 and 32 leave the group, then find the mean of remaining 8