Tuesday, 20 January 2026

 

Class 10 Mathematics

Previous Board Examination Question Paper – Set 2

Time: 3 Hours    Maximum Marks: 80

                                           

X cbsc Previous Exam Questions  and answers


General Instructions:

  1. All questions are compulsory.
  2. The question paper consists of Sections A, B, C, D and E.
  3. Use of calculator is not permitted.
  4. Figures are not to scale.

Section A – MCQs

(1 × 20 = 20 Marks)

1. The value of sin 60° is:

a) 1/2   b) √3/2   c) 1   d) 0

2. The zero of the polynomial x − 7 is:

a) −7   b) 7   c) 0   d) 1

3. The HCF of 20 and 30 is:

a) 5   b) 10   c) 15   d) 20

4. Distance between (2,3) and (2,7) is:

a) 2   b) 3   c) 4   d) 5

5. The value of tan 0° is:

a) 0   b) 1   c) √3   d) ∞

Section B – Very Short Answer

(2 × 5 = 10 Marks)

6. Find the zero of the polynomial 2x.

7. Evaluate √81.

8. Find the LCM of 6 and 9.

9. Write the value of cos 90°.

10. Find the distance between (0,0) and (0,5).

Section C – Short Answer

(3 × 6 = 18 Marks)

11. Find the zeros of the quadratic polynomial x² − 9.

12. Solve: 3x − 5 = 4.

13. Find the HCF of 48 and 72 using Euclid’s Division Algorithm.

14. Prove: tan²A + 1 = sec²A.

15. Find the distance between (1,1) and (5,1).

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 − 4x − 5 = 0.

18. Find the value of sin 45° / cos 45°.

19. Find the coordinates of the point dividing the line segment joining (2,2) and (8,8) internally in the ratio 1:1.

20. Find the area of a sector of radius 7 cm and angle 60°.

Section E – Case Study Based

(4 × 3 = 12 Marks)

21. A square park has side 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 2)

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