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Sample Paper – 2009
Class – X
Subject – Mathematics

Section – I [ 40 Marks]
Attempt all questions from this section

Q.1(a) When the rate of sales tax is increased from 4.5% to 7%, a car dealer sells a car for Rs.3,750 more. Find the quoted price of the car. (3)
(b) Find the mean proportion of x – y and x3 – x2y. (3)
(c) Ram borrowed Rs.2,500 from Shankar at 12% per annum C.I. After 2 years, he gave Rs.2936 and a radio to Shankar to clear the account. Find the cost of the radio. (4)

Q.2(a) Find the value of p and q, if x2 – 1 is a factor of x4 + px + 2x2 – 3x + q. (3)
(b) Find the median of :
19, 25, 59, 48, 35, 31, 30, 32, 51. If 25 is replaced by 52, find the new median . (3)
(c) In a quadrilateral ABCD, AB = AC = AD. Show that :
∟BAD = 2 (∟CBD + ∟CDB). (4)

Q.3(a) Anupam deposits Rs.1,600 per month in a recurring deposit accountfor three years at the rate of 9% p.a. simple interest. Find the amount she will get at the time of maturity.
(3)
(b) In the given fig., ABC is an equilateral triangle inscribed in a circle of radius 4 cm. Find the area of the shaded region. (3)
Fig
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