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CBSE X
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.Find the GCD of the following polynomials :

Question 2

2.     Solve for x and y :

Question 3

3.     Find the sum of all three digit numbers which are multiples of 7.

Question 4

4.     In figure, PQ ∥ AB and PR ∥ AC. Prove that QR ∥ BC.

Question 5

5.     If the mean of the following frequency distribution is 49, find the missing frequency p:

class

Frequency

0-20

2

20-40

6

40-60

p

60-80

5

80-100

2


Question 6

6.     A wrist watch is available for Rs. 1,000 cash or Rs. 500 as cash down payment followed by three equal monthly instalments of Rs. 180. Calculate the rate of interest charged under the installment plan

Question 7

7. An unbiased die is tossed once. Find the probability of getting

                             i.            A multiple of 2 or 3

                             ii.            A prime number greater than 2

Section A Section B Section C