Class X Mathematics

Holiday Homework - summer vacation 2013-14

1 Find the LCM of 315 and 360 by the prime factorization method. Hence, find

their HCF

2 Find the HCF of 300, 360 and 240 by the prime factorization method.

3 Prove that is an irrational number.

4 , are the roots of the quadratic polynomial

p (x) = x2 - (k + 6)x + 2 (2k - 1). Find the value of k, if + = .

5 Show that 5 + is an irrational number.

6 What must be subtracted from x3 - 6x

2 - 15x + 80 so that the result is exactly

divisible by x2 + x - 12.

7 Using Euclid's division algorithm, show that only one of the numbers n , n + 2

and n + 4 is divisible by 3.

8 If the sum of zeroes of the polynomial f (y) =y2 + 2y +3k is equal to their

product, find the value of k.

9 State whether 17/8 will have a terminating decimal expansion or a non-

terminating repeating decimal

10 In a school there are two sections- section A and Section B of class X. There

are 32 Students in section A and 36 students in section B. Determine the

minimum number of books required for their class library so that they can be

distributed equally among students of section A or section B.

11 If the product of zeros of the polynomial a x2-6x-6 is 4. Find the value of a.

12 The sum and product of the zeroes of a quadratic polynomial are –1/2 and -3

respectively. What is the quadratic polynomial?

13 Obtain all the zeroes of the polynomial x2+7x+10 any verify the relationship

between the zeroes and its coefficients.

14 Find the polynomial of least degree which should be subtracted from the

The value of a 2 +b

2

15 If one zero of the polynomial p(x)=3x3 – 5x

2 – 11x – 3 is - 1/3 , then find the

other zeros of the polynomial.

16. copy the puzzle to A4 sheet and answer:

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