Class 10 Mathematics
Previous Board Examination Question Paper – Set 4
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 3x − 6 is:
a) −2 b) 2 c) 6 d) 3
2. The value of cos 0° is:
a) 0 b) 1 c) 1/2 d) √3/2
3. The HCF of 28 and 42 is:
a) 7 b) 14 c) 21 d) 28
4. Distance between (−2,5) and (−2,1) is:
a) 2 b) 3 c) 4 d) 5
5. The value of tan 60° 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 − 9.
7. Evaluate √225.
8. Find the LCM of 8 and 12.
9. Write the value of tan 45°.
10. Find the distance between (3,2) and (3,7).
Section C – Short Answer
(3 × 6 = 18 Marks)
11. Find the zeros of the quadratic polynomial x² − 5x.
12. Solve: 4x + 8 = 0.
13. Find the HCF of 72 and 120 using Euclid’s Division Algorithm.
14. Prove: cosec²A − cot²A = 1.
15. Find the distance between (0,−3) and (6,−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 − 3x − 10 = 0.
18. Find the value of sin 30° / cos 60°.
19. Find the coordinates of the point dividing the line segment joining (1,3) and (7,3) internally in the ratio 1:1.
20. Find the area of a sector of a circle of radius 14 cm and angle 60°.
Section E – Case Study Based
(4 × 3 = 12 Marks)
21. A square field has side 35 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 4)
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