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Mathematics Standard - 30/5/3 2025-2026 English Medium Class 10 Question Paper Solution

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Mathematics [Standard - 30/5/3]
Marks: 80 CBSE
English Medium

Academic Year: 2025-2026
Date & Time: 17th February 2026, 10:30 am
Duration: 3h
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General Instructions:

Read the following instructions very carefully and strictly follow them:

  1. This question paper contains 38 questions. All questions are compulsory.
  2. This question paper is divided into Five Sections - A, B, C, D and E.
  3. In Section-A, questions number 1 to 18 are Multiple Choice Questions (MCQs) and questions number 19 and 20 are Assertion-Reason based questions of 1 mark each.
  4. In Section-B, questions number 21 to 25 are Very Short Answer (VSA) type questions, carrying 2 marks each.
  5. In Section-C, questions number 26 to 31 are Short Answer (SA) type questions, carrying 3 marks each.
  6. In Section-D, questions number 32 to 35 are Long Answer (LA) type questions carrying 5 marks each.
  7. In Section-E, questions number 36 to 38 are Case Study based questions carrying 4 marks each. Internal choice is provided in 2 marks questions in each case-study.
  8. There is no overall choice. However, an internal choice has been provided in 2 questions in Section-B, 2 questions in Section-C, 2 questions in Section-D and 3 questions of 2 marks in Section-E.
  9. Draw neat diagrams wherever required. Take `π = 22/7` wherever required, if not stated.
  10. Use of calculator is NOT allowed.

SECTION - A
Q. Number 1 to 20 are multiple choice questions of 1 mark each.
[1]1.

A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (Use π = 3.14)

`314 sqrt(2)  cm^2`

314 cm2

`3140/3 cm^2`

`3140 sqrt(2)  cm^2`

Concept: undefined - undefined
Chapter:
[1]2.

If an represents nth term of the A.P. `- 15/4, - 10/4, - 5/4,` ...... then value of a16 – a12 is ______.

4

`5/4`

5

`25/4`

Concept: undefined - undefined
Chapter:
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[1]3.

Meena calculates that the probability of her winning the first prize in a lottery is 0.08. If total 800 tickets were sold, the number of tickets bought by her, is ______.

64

640

100

10

Concept: undefined - undefined
Chapter:
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