📘 CBSE Class 10 Maths – 20 Most Important Questions (With Answers)
Board Exam 2025 के लिए हाई प्रायोरिटी प्रश्न
Q1. Find the HCF of 24 and 36 using Euclid’s division lemma.
HCF = 12 (since 36 = 24×1 + 12 and 24 = 12×2 + 0)
Q2. Find the value of (sin 30° + cos 60°).
sin 30° = 1/2, cos 60° = 1/2 → Total = 1
Q3. Solve: 2x² – 7x + 3 = 0.
x = 3 or x = 1/2
Q4. Find the area of a triangle with base 10 cm and height 8 cm.
Area = 1/2 × 10 × 8 = 40 cm²
Q5. What is the value of sin²A + cos²A?
sin²A + cos²A = 1 (identity)
Q6. Find the mode of: 3, 5, 5, 6, 6, 6, 7.
Mode = 6 (highest frequency)
Q7. Find distance between (2,3) and (6,9).
Distance = √[(6-2)² + (9-3)²] = √(16 + 36) = √52 = 2√13
Q8. What is the general form of a linear equation?
ax + by + c = 0
Q9. Write Pythagoras theorem.
Hypotenuse² = Base² + Perpendicular²
Q10. Find the surface area of a cube of side 4 cm.
Total surface area = 6a² = 6 × 16 = 96 cm²
Q11. What is a probability of getting a tail when a coin is tossed?
Probability = 1/2
Q12. Find the 10th term of AP: 5, 8, 11, 14…
a = 5, d = 3 → a₁₀ = 5 + 9×3 = 32
Q13. Convert 0.36 into a rational number.
0.36 = 36/100 = 9/25
Q14. State the fundamental theorem of arithmetic.
Every composite number can be expressed as a product of primes.
Q15. Find the mean of: 2, 4, 6, 8.
Mean = (2+4+6+8)/4 = 5
Q16. Find the circumference of a circle of radius 7 cm.
C = 2πr = 44 cm (using π = 22/7)
Q17. Find the value of tan 45°.
tan 45° = 1
Q18. Factorise: x² – 9.
x² – 9 = (x - 3)(x + 3)
Q19. Find the volume of a cylinder with radius 3 cm and height 7 cm.
V = πr²h = 22/7 × 9 × 7 = 198 cm³
Q20. Find the roots of x² - 4x + 4 = 0.
(x - 2)² = 0 → x = 2 (double root)
