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CBSE X (Delhi)
MATHEMATICS PAPER 2007.

Time allowed: 3 hours; Maximum Marks: 80

General Instructions:
1) All questions are compulsory.
2) The question paper consists of 25 questions divided into three sections- A, B and C. Section A contains 7 questions of 2 marks each, Section B is of 12 questions of 3 marks each and Section C is of 6 questions of 5 marks each.
3) There is no overall choice. However, an internal choice has been provided in two questions of two marks each, two questions of three marks each and two questions of five marks each.
4) In question on construction, the drawing should be neat and exactly as per the given measurements.
5) Use of calculators is not permitted. However, you may ask for Mathematical tables.
   
SECTION A

Question 1

1. If  is the G.C.D of  and  find the value of  

Question 2

2.  Solve for  and :

 and  

Question 3

3. Find the sum of first  terms of an A.P. whose  term is

Question 4

4.   P and Q are points on sides CA and CB respectively of ∆ABC, right angled at C. Prove that

Question 5

5. The mean of the following frequency distribution is 62.8. Find the  

     missing frequency x.

    Class

0-20

20-40

40-60

60-80

80-100

100-120

Frequency

5

8

x

12

7

8

Question 6

6. Cards marked with numbers  are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the drawn card is

     (i) divisible by 7.

   (ii) a number which is a perfect square.

Question 7

7. A washing machine is available for Rs. 13,500 cash or Rs. 6,500 as cash down payment followed by three monthly installments of Rs. 2,500 each. Find the rate of interest charged under installment plan.

Section A Section B Section C