Class 10 Mathematics
Previous Board Examination Question Paper – Set 1
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.
- Draw neat diagrams wherever required.
Section A – MCQs
(1 × 20 = 20 Marks)
1. The zero of the polynomial 2x + 3 is:
a) 2 b) -2 c) -3/2 d) 3/2
2. If sin A = 1/2, then A equals:
a) 30° b) 45° c) 60° d) 90°
3. The HCF of 12 and 18 is:
a) 2 b) 3 c) 6 d) 12
4. The distance between points (0,0) and (3,4) is:
a) 5 b) 7 c) 4 d) 3
5. The value of tan 45° is:
a) 0 b) 1 c) √3 d) 1/√3
Section B – Very Short Answer
(2 × 5 = 10 Marks)
6. Find the zero of the polynomial x – 5.
7. Evaluate: √144.
8. Find the HCF of 15 and 25.
9. Write the value of sin 90°.
10. Find the distance between (1,2) and (1,5).
Section C – Short Answer
(3 × 6 = 18 Marks)
11. Find the zeros of the quadratic polynomial x² – 7x + 10.
12. Solve: 2x + 3 = 7.
13. Find the HCF of 36 and 84 using Euclid’s division algorithm.
14. Prove: sin²A + cos²A = 1.
15. Find the distance between points (-2,3) and (4,3).
16. Find the area of a circle of radius 7 cm.
Section D – Long Answer
(5 × 4 = 20 Marks)
17. Solve the quadratic equation x² – 5x + 6 = 0 by factorisation.
18. Find the value of sin 30° / cos 60°.
19. Find the coordinates of the midpoint of the line joining (2,4) and (6,8).
20. Find the area of a sector of a circle of radius 14 cm and angle 90°.
Section E – Case Study Based
(4 × 3 = 12 Marks)
21. A rectangular park has length 50 m and breadth 30 m.
Remembering the formulas of perimeter and area, answer:
a) Find the perimeter.
b) Find the area.
c) How much fencing is required?
Shaktimatha CBSE Learning
Class 10 Mathematics – Previous Board Exam Question Paper (Set 1)
⬅️ Back to Class 10 Mathematics Library
📘 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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