Class 10 Mathematics
Previous Board Examination – Full Solved Answers (Set 2)
All solutions are written in simple student style with proper steps, exactly as expected by CBSE examiners.
.png "X cbsc")
Section A – MCQs (Answers)
1. √3/2
2. 7
3. 10
4. 4
5. 0
Section B – Very Short Answer
6. Find the zero of the polynomial 2x.
2x = 0
x = 0
7. Evaluate √81.
√81 = 9
8. Find the LCM of 6 and 9.
6 = 2 × 3
9 = 3 × 3
LCM = 2 × 3 × 3 = 18
9. Write the value of cos 90°.
cos 90° = 0
10. Find the distance between (0,0) and (0,5).
Distance = √[(0−0)² + (5−0)²]
= √25
= 5 units
Section C – Short Answer
11. Find the zeros of x² − 9.
x² − 9 = 0
x² = 9
x = ±3
12. Solve: 3x − 5 = 4.
3x = 4 + 5
3x = 9
x = 3
13. Find HCF of 48 and 72 using Euclid’s Division Algorithm.
72 = 48 × 1 + 24
48 = 24 × 2 + 0
∴ HCF = 24
14. Prove: tan²A + 1 = sec²A.
We know,
tan²A + 1 = sec²A
Hence proved.
15. Find the distance between (1,1) and (5,1).
Distance = √[(5−1)² + (1−1)²]
= √16
= 4 units
16. Find the area of a circle of radius 14 cm.
Area = πr²
= 22/7 × 14 × 14
= 616 cm²
Section D – Long Answer
17. Solve the quadratic equation x² − 4x − 5 = 0.
x² − 4x − 5 = 0
(x − 5)(x + 1) = 0
x = 5 or x = −1
18. Find the value of sin 45° / cos 45°.
sin 45° = 1/√2
cos 45° = 1/√2
Value = 1
19. Find the point dividing the line joining (2,2) and (8,8) internally in the ratio 1:1.
Midpoint = ((2+8)/2 , (2+8)/2)
= (5,5)
20. Find the area of a sector of radius 7 cm and angle 60°.
Area = (θ/360) × πr²
= (60/360) × 22/7 × 7 × 7
= 77/3 cm²
Section E – Case Study Based
21.
Side = 20 m
a) Perimeter = 4 × side = 4 × 20 = 80 m
b) Area = side² = 20 × 20 = 400 m²
c) Fencing required = 80 m
Shaktimatha CBSE Learning
Class 10 Mathematics – Previous Board Exam Full Answers (Set 2)
⬅️ 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
Prepared with dedication by Shaktimatha Learning ✨
Concept clarity • Exam confidence • Board success
.png)
No comments:
Post a Comment