NCERT Sample Paper For Class 10 Maths Chapter 1 | NCERT Class 10

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I have given 18 questions in this sample paper for you. I hope you love the Sample Paper For Class 10 Maths Chapter 1 by NCERT Class 10.

Sample Paper Class 10 Maths Chapter 1

1. The HCF and LCM of two numbers are 9 and 459, respectively. If one of the numbers is 27, then the number is
(a) 153
(b) 150
(c) 459
(d) 135

2. What is the number x? The LCM of x and 18 is 36. The HCF of x and 18 is 2.
(a) 1
(b) 3
(c) 2
(d) 4

3. The HCF and LCM of two numbers are 9 and 90, respectively. If the first number is 18, then the second number is
(a) 54
(b) 36
(c) 45
(d) 63

4. If the LCM of two numbers is 45 times their HCF and the sum of LCM and HCF is 1150, then HCF is
(a) 50
(b) 45
(c) 1150
(d) 25

5. By using the fundamental theorem of arithmetic, find the HCF and LCM of 11008 and 7344 .

6. Show that any positive integer is of the form 3q or, 3q + 1 or, 3q + 2 for some integer q.

7. Express the given number as the product of its prime factors: 5005.

8. Find HCF and LCM of 625, 1125, and 2125 using the fundamental theorem of arithmetic.

9. Express the decimal number, 0.8 as a fraction in the simplest form.

10. Show that the cube of a positive integer is of the form 6q + r, where q is an integer and r = 0, 1, 2, 3, 4, 5.

11. Without actual division, show that rational number 17/625 is a terminating decimal.

12. Prove that root2 is an irrational number.

13. By the use of Euclid's division lemma, prove that the square of any positive integer cannot be of the form 5m + 3 or 5m + 2 for any integer m.

14. Prove that 4 - 5 root2 is an irrational number.

15. Amita, Sneha, and Raghav start preparing cards for greeting each person of an old age home in the new year. They take 10, 16, and 20 minutes, respectively to complete one card. After what time will they start preparing a new card together, if all of them started together, ?

16. Show that square of any positive integer cannot be of the form 5q + 2 or 5q + 3 for some integer m.

17. Can the number 6ⁿ, n being a natural number, end with the digit 5? Give reasons.

18. Three sets of physics, chemistry, and mathematics books have to be stacked in such a way, that all the books are stored topic wise, and the number of books in each stack is the same. The number of books of physics is 192, the number of books of chemistry is 240, and the number of books of mathematics is 168. Find the number of stacks of physics, chemistry, and mathematics.

Conclusion

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