JKBOSE Class 10th Mathematics Sample Paper 2025

JKBOSE Class 10th Mathematics Sample Paper 2025: Overview and Solutions

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This article provides a comprehensive overview of the JKBOSE Class 10th Mathematics Sample Paper for 2025. The sample paper has been prepared to help students strengthen their preparation and boost confidence for the upcoming exams. Below, you’ll find the questions, correct answers, and detailed explanations where necessary.

JKBOSE Class 10th Mathematics Sample Paper 2025

Overview of the Sample Paper

SectionDetailsMarks per Question
Section A20 one-mark questions1 mark
Section B6 two-mark questions2 marks
Section C4 three-mark questions3 marks

The paper contains a mix of conceptual, formula-based, and problem-solving questions, designed to test understanding across various topics.

Section A: One-Mark Questions

  1. A total number of factors of a prime number:
    Answer: (C) Two
    Explanation: A prime number has only two factors: 1 and itself.
  2. Quadratic polynomial with sum of roots = -5 and product = 6:
    Answer: Do by yourself
  3. Graph of a pair of linear equations in two variables:
    Answer: (A) Straight lines
  4. Sum of the first 10 natural numbers:
    Answer: (B) 55
  5. Value of tan⁡θ not defined at:
    Answer: (C) 90
  6. Distance of point (-6, 8) from the origin:
    Answer: (D) 10
  7. LCM of 12, 32, and 36:
    Answer: (D) None of these (Actual answer: 288).
  8. Probability of getting an 8 on a single die throw:
    Answer: (A) 0
    Explanation: A standard die has faces numbered 1–6, so 8 is impossible.
  9. Curved surface area of a hemisphere with a radius of 2 cm:
    Answer: 8π cm28\pi \, \text{cm}^2
  10. Roots of x2+3x−10=0x^2 + 3x – 10 = 0:
    Answer: (A) 2, -5
  11. Is sqrt{2} rational?
    Answer: False. sqrt{2} is an irrational number.
  12. The probability of an event cannot be less than:
    Answer: 0
  13. All squares are:
    Answer: Similar
  14. A tangent intersects a circle at:
    Answer: 1 point
  15. Common difference of the AP a,a−p,a−2pa, a-p, a-2p:
    Answer: -p
  16. If a pair of linear equations is consistent, the lines:
    Answer: Intersect or coincide (True).
  17. Value of tan⁡60∘−cot⁡30∘=1\tan 60^\circ – \cot 30^\circ = 1:
    Answer: True
  18. How many two-digit numbers are divisible by 3?
    Answer: 30
  19. In an AP, b=a+c2b = \frac{a + c}{2}, where b is the:
    Answer: Arithmetic mean of a and c

Section B: Two-Mark Questions

  1. Find the roots of 6×2−x−2=06x^2 – x – 2 = 0
    Use the quadratic formula
  2. Discriminant and nature of roots for 3x^2−2x+13=0
    Do by yourself
  3. Volume of a cylinder (height = 20 cm, radius = 14 cm):
    V=2πrh
  4. Relation between x and y if (x,y)(x, y) is equidistant from (7, y) and (3, 5):
    Use the distance formula.

Section C: Three-Mark Questions

  1. Ratio in which a line segment is divided:
    Use section formula.
  2. Area of a quadrant of a circle with a circumference 22 cm:
    Ans:
  3. Prove that tangents from an external point are equal.
  4. Prove properties of diagonals in a quadrilateral.

FAQs

1. What is the significance of sample papers?

Sample papers provide an idea of the exam pattern, types of questions, and help in time management during the exam.

2. How can I improve my problem-solving skills?

Regular practice of numerical problems, revisiting formulas, and solving sample papers are effective methods.

3. Are these questions important for exams?

Yes, these questions are curated to align with the JKBOSE Class 10th syllabus and exam trends.

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