Available for CBSE, ICSE and State Board syllabus.
Call our LearnNext Expert on 1800 419 1234 (tollfree)
OR submit details below for a call back
Introducing NextGurukul app, India's Largest Collaborative Learning Community for Learners and Educators - Now available with a Fresh UI and Exciting New Features!
Install NowCBSE X
SET - II
MATHEMATICS PAPER 2009.
Time allowed: 3 hours; Maximum Marks: 80
| General Instructions: | |
| 1) | All questions are compulsory. |
| 2) | The question paper consists of thirty questions divided into 4 sections A, B, C and D. Section A comprises of ten questions of 01 mark each, Section B comprises of five questions of 02 marks each, Section C comprises ten questions of 03 marks each and Section D comprises of five questions of 06 marks each. |
| 3) | All questions in Section A are to be answered in one word, one sentence or as per the exact requirement of the question. |
| 4) | There is no overall choice. However, internal choice has been provided in one question of 02 marks each, three questions of 03 marks each and two questions of 06 marks each. You have to attempt only one of the alternatives in all such questions. |
| 5) | In question on construction, drawing should be near and exactly as per the given measurements. |
| 6) | Use of calculators is not permitted. |
Question number 26 to 30 carry 6 mark each.
26. A trader bought a number of articles for Rs 900. Five articles were found damaged. He sold each of the remaining articles at Rs. 2 more than what he paid for it. He got a profit of Rs. 80 on the whole transaction. Find the number of articles he bought.
OR
Two years ago the man's age was three times the square of his son's age. Three years hence his age will be four times his son's age. Find their present ages.
27. Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
Using the above theorem prove the following:
The area of the equilateral triangle described on the side of a square is half the area of the equilateral triangle described on its diagonal.
28.The angle of elevation of the top of a building from the foot of a tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.
29. A spherical copper shell, of external diameter 18
cm, is melted and recast into a solid cone of base radius 14 cm and
height 
cm. Find the inner diameter of
the shell.
OR
A bucket is in the form of a frustum of
a cone with a capacity of 12308.8 
. The radii of the top and
bottom circular ends of the bucket are 20 cm and 12 cm respectively.
Find the height of the bucket and also the area of metal sheet used in
making it.
30. Find the mode, median and mean for the following data:
|
Marks obtained |
25 − 35 |
35 − 45 |
45 − 55 |
55 − 65 |
65 − 75 |
75 − 85 |
|
Number of students |
7 |
31 |
33 |
17 |
11 |
1 |
| Section A | Section B | Section C | Section D |
