Class 10 Mathematics
Previous Board Examination Question Paper – Set 5
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 5x − 10 is:
a) −2 b) 2 c) 5 d) 10
2. The value of sin 0° is:
a) 0 b) 1 c) 1/2 d) √3/2
3. The HCF of 45 and 60 is:
a) 5 b) 10 c) 15 d) 20
4. Distance between points (−1,4) and (5,4) is:
a) 4 b) 5 c) 6 d) 7
5. The value of cos 90° is:
a) 0 b) 1 c) 1/2 d) −1
Section B – Very Short Answer
(2 × 5 = 10 Marks)
6. Find the zero of the polynomial x + 6.
7. Evaluate √256.
8. Find the LCM of 10 and 15.
9. Write the value of sin 90°.
10. Find the distance between (4,1) and (4,6).
Section C – Short Answer
(3 × 6 = 18 Marks)
11. Find the zeros of the quadratic polynomial x² − 6x.
12. Solve: 7x − 14 = 0.
13. Find the HCF of 96 and 128 using Euclid’s Division Algorithm.
14. Prove: sin²A + cos²A = 1.
15. Find the distance between (−3,5) and (3,5).
16. Find the area of a circle of radius 14 cm.
Section D – Long Answer
(5 × 4 = 20 Marks)
17. Solve the quadratic equation x² − 8x + 12 = 0.
18. Find the value of tan 45° / sin 30°.
19. Find the coordinates of the midpoint of the line joining (−4,6) and (8,6).
20. Find the area of a sector of a circle of radius 21 cm and angle 60°.
Section E – Case Study Based
(4 × 3 = 12 Marks)
21. A rectangular park has length 60 m and breadth 20 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 5)
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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
📊 Model Papers & Practice Sets
✔ First read the Question Paper
✔ Try writing answers yourself
✔ Compare with Full Model Answers
✔ Observe steps, diagrams, and presentation
✔ Practice again to score full marks
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