Class 10 Mathematics
Previous Board Examination Question Paper – Set 3
Time: 3 Hours Maximum Marks: 80
General Instructions:
- All questions are compulsory.
- The question paper consists of Sections A, B, C, D and E.
- Use of calculator is not permitted.
- Figures are not to scale.
Section A – MCQs
(1 × 20 = 20 Marks)
1. The zero of the polynomial x + 4 is:
a) 4 b) −4 c) 0 d) 1
2. The value of cos 60° is:
a) 1 b) 0 c) 1/2 d) √3/2
3. The HCF of 18 and 24 is:
a) 3 b) 6 c) 9 d) 12
4. Distance between points (3,4) and (3,8) is:
a) 2 b) 3 c) 4 d) 5
5. The value of tan 30° is:
a) 1 b) √3 c) 1/√3 d) 0
Section B – Very Short Answer
(2 × 5 = 10 Marks)
6. Find the zero of the polynomial x.
7. Evaluate √196.
8. Find the HCF of 16 and 24.
9. Write the value of sin 0°.
10. Find the distance between (2,3) and (2,9).
Section C – Short Answer
(3 × 6 = 18 Marks)
11. Find the zeros of the quadratic polynomial x² − 4x.
12. Solve: 5x − 10 = 0.
13. Find the HCF of 54 and 126 using Euclid’s Division Algorithm.
14. Prove: sec²A − tan²A = 1.
15. Find the distance between (−1,2) and (5,2).
16. Find the area of a circle of radius 21 cm.
Section D – Long Answer
(5 × 4 = 20 Marks)
17. Solve the quadratic equation x² − 7x + 10 = 0.
18. Find the value of sin 60° / cos 30°.
19. Find the coordinates of the point dividing the line segment joining (−2,4) and (6,4) internally in the ratio 1:1.
20. Find the area of a sector of a circle of radius 21 cm and angle 120°.
Section E – Case Study Based
(4 × 3 = 12 Marks)
21. A rectangular field has length 40 m and breadth 25 m.
a) Find the perimeter.
b) Find the area.
c) How much fencing is required?
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Class 10 Mathematics – Previous Board Exam Question Paper (Set 3)
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📘 Class 10 Mathematics – Previous Board Question Papers & Model Answers
This library is specially prepared for Class 10 Board Exam students to understand question patterns, answer-writing style, step-by-step solutions, and examiner expectations.
🧠 How to Write Maths Answers in Exam
📝 Previous Board Question Papers
- Previous Board Question Paper – Set 1
- Question Paper – Set 2
- Question Paper – Set 3
- Question Paper – Set 4
- Question Paper – Set 5
- Question Paper – Set 6
✍️ Full Board Exam Answers (Student Writing Style)
- Full Answers – Set 1
- Full Answers – Set 2
- Full Answers – Set 3
- Full Answers – Set 5
- Full Answers – Set 6
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