Class 10 Mathematics
Previous Board Examination – Full Solved Answers (Set 5)
These solutions are written in simple student exam-writing style, following CBSE valuation norms for full marks.
Section A – MCQs (Answers)
1. 2
2. 0
3. 15
4. 6
5. 0
Section B – Very Short Answer
6. Find the zero of the polynomial x + 6.
x + 6 = 0
x = −6
7. Evaluate √256.
√256 = 16
8. Find the LCM of 10 and 15.
10 = 2 × 5
15 = 3 × 5
LCM = 2 × 3 × 5 = 30
9. Write the value of sin 90°.
sin 90° = 1
10. Find the distance between (4,1) and (4,6).
Distance = √[(4−4)² + (6−1)²]
= √25
= 5 units
Section C – Short Answer
11. Find the zeros of the quadratic polynomial x² − 6x.
x² − 6x = 0
x(x − 6) = 0
x = 0 or x = 6
12. Solve: 7x − 14 = 0.
7x = 14
x = 2
13. Find HCF of 96 and 128 using Euclid’s Division Algorithm.
128 = 96 × 1 + 32
96 = 32 × 3 + 0
∴ HCF = 32
14. Prove: sin²A + cos²A = 1.
We know,
sin²A + cos²A = 1
Hence proved.
15. Find the distance between (−3,5) and (3,5).
Distance = √[(3+3)² + (5−5)²]
= √36
= 6 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 − 8x + 12 = 0.
x² − 8x + 12 = 0
(x − 6)(x − 2) = 0
x = 6 or x = 2
18. Find the value of tan 45° / sin 30°.
tan 45° = 1
sin 30° = 1/2
Value = 1 ÷ (1/2) = 2
19. Find the midpoint of the line joining (−4,6) and (8,6).
Midpoint = ((−4+8)/2 , (6+6)/2)
= (2,6)
20. Find the area of a sector of a circle of radius 21 cm and angle 60°.
Area = (θ/360) × πr²
= (60/360) × 22/7 × 21 × 21
= 231 cm²
Section E – Case Study Based
21.
Length = 60 m, Breadth = 20 m
a) Perimeter = 2(l + b)
= 2(60 + 20) = 160 m
b) Area = l × b
= 60 × 20 = 1200 m²
c) Fencing required = 160 m
Shaktimatha CBSE Learning
Class 10 Mathematics – Previous Board Exam Full Answers (Set 5)
⬅️ 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