Class 10 Mathematics
Previous Board Examination Question Paper – Set 6
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 4x − 8 is:
a) −2 b) 2 c) 4 d) 8
2. The value of tan 30° is:
a) √3 b) 1 c) 1/√3 d) 0
3. The HCF of 24 and 36 is:
a) 6 b) 12 c) 18 d) 24
4. Distance between points (5,2) and (5,8) is:
a) 4 b) 5 c) 6 d) 7
5. The value of sin 60° is:
a) 1/2 b) √3/2 c) 1 d) 0
Section B – Very Short Answer
(2 × 5 = 10 Marks)
6. Find the zero of the polynomial x − 4.
7. Evaluate √361.
8. Find the LCM of 12 and 18.
9. Write the value of cos 60°.
10. Find the distance between (1,4) and (1,10).
Section C – Short Answer
(3 × 6 = 18 Marks)
11. Find the zeros of the quadratic polynomial x² − 8x.
12. Solve: 6x − 18 = 0.
13. Find the HCF of 60 and 84 using Euclid’s Division Algorithm.
14. Prove: 1 + tan²A = sec²A.
15. Find the distance between (−4,3) and (2,3).
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 − 9x + 20 = 0.
18. Find the value of sin 45° / cos 45°.
19. Find the coordinates of the point dividing the line joining (0,6) and (8,6) internally in the ratio 1:3.
20. Find the area of a sector of a circle of radius 28 cm and angle 90°.
Section E – Case Study Based
(4 × 3 = 12 Marks)
21. A square playground has side 28 m.
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 6)
⬅️ 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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