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Class 10th math practice real PYQs
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"Class 10th math practice real PYQs" typically refers to practicing with Previous Year Questions (PYQs) from real examinations. This approach is highly beneficial as it allows students to familiarize themselves with the format, types of questions, and level of difficulty that they might encounter i...

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  • July 1, 2024
  • July 1, 2024
  • 9
  • 2022/2023
  • Class notes
  • Aniket kanaujiya
  • All classes

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  • class 10th previous years questions

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  • 10th Boards
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Marking Scheme
Class X Session 2023-24
MATHEMATICS STANDARD (Code No.041)
TIME: 3 hours MAX.MARKS: 80
SECTION A
Section A consists of 20 questions of 1 mark each.
1. (b) xy2 1
2. (b) 1 zero and the zero is ‘3’ 1
3. 1
(b) = ≠
4. (c) 2 distinct real roots 1
5. (c) 7 1
6. (a) 1:2 1
7. (d) infinitely many 1
8. 1
(b)

9. (b) 100° 1
10. (d) 11 cm 1
11. √ 1
(c)
12. (d) cos A 1
13. (a) 60° 1
14. (a) 2 units 1
15. (a) 10m 1
16. 1
(b)
17. 1
(b)
18. (d) 150 1
19. (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of 1
assertion (A)
20. (c) Assertion (A) is true but reason (R) is false. 1
SECTION B
Section B consists of 5 questions of 2 marks each.
21. Let us assume, to the contrary, that √2 is rational.
𝑎 ½
So, we can find integers a and b such that √2 = 𝑏 where a and b are coprime.
So, b √2 = a.
Squaring both sides,
we get 2b2 = a2. ½
Therefore, 2 divides a2 and so 2 divides a.
So, we can write a = 2c for some integer c.
Substituting for a, we get 2b2 = 4c2, that is, b2 = 2c2. ½
This means that 2 divides b2, and so 2 divides b
Therefore, a and b have at least 2 as a common factor.
But this contradicts the fact that a and b have no common factors other than 1. ½
This contradiction has arisen because of our incorrect assumption that √2 is rational.
So, we conclude that √2 is irrational.

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