CBSE Class 10 Mathematics SA1 Revision (1)

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CLASS X

HOLIDAYS HOMEWORK

Subject-Maths

1. Consider the numbers 4n, where n is a natural number. Check whether there

is any value of n for which 4n ends with the digit zero.

2. Find the LCM and HCF of 6 and 20 by the prime factorization method.

3. Find the HCF of 96 and 404 by the prime factorization method. Hence, find

their LCM.

4. Express each number as a product of its prime factors:(i) 140 (ii) 156 (iii)

3825 (iv) 5005 (v) 7429

5. Find the LCM and HCF of the following pairs of integers and verify that LCM ×

HCF = product of the two numbers.

(i) 26 and 91 (ii) 510 and 92

6. Find the LCM and HCF of the following integers by applying the prime

factorization method. 12, 15 and 21 (ii) 17, 23 and 29

7. Given that HCF (306, 657) = 9, find LCM (306, 657).

8. There is a circular path around a sports field. Sonia takes 18 minutes to drive

one round of the field, while Ravi takes 12 minutes for the same. Suppose they

both start at the same point and at the same time, and go in the same

direction. After how many minutes will they meet again at the starting point?

9. Use Euclid’s division lemma to show that the square of any positive integer

is of the form 5q, 5q+1,5q+4 for some integer q.

10. Give linear equations which is coincident with 2 x + 3y - 4 = 0

11. Find the value of K so that the pair of linear equations : (3 K + 1) x + 3y – 2 =

0 (K2 + 1) x + (k–2)y – 5 = 0 is inconsistent. 8. Solve for x and y : 2x + 3y = 17 2x +

2 – 3 y+1 = 5.

12. The area of a rectangle remain the same if its length is increased by 7 cm

and the breadth is decreased by 3 cm. The area remains unaffected if length is

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