Standard 10th 11th 12th Mathematics 1st Mid Term Exam Question Papers : Here is a First Mid-Term Question Paper (2025) for Classes 10th 11th and 12th of Maths we are trying to Provide All Important Questions with Answers
Mathematics 1st Mid Term Exam Question Papers 2025-26
Standard 10th Mathematics 1st Mid Term Exam Question Papers 2025-26 with Answers keys
Standard Standard 11th Mathematics 1st Mid Term Question Papers 2025-26 with Answers keys
Standard 12th Mathematics 1st Mid Term Exam Question Papers 2025-26 with
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📘 Class 11 – Mathematics First Term Exam (English Medium)
Total Marks: 70 Time: 3 Hours
General Instructions:
All questions are compulsory.
Use proper steps, theorems, and diagrams where required.
🔹 Section A: Very Short Answer (1×6 = 6 marks)
Q1. Write the domain of the function
✅ Answer:
Q2. Find the value of
✅ Answer: 0
Q3. If and , find number of relations from A to B.
✅ Answer:
Q4. Write an example of a reflexive relation on set A = {1, 2}
✅ Answer: R = {(1, 1), (2, 2)}
Q5. Evaluate:
✅ Answer: 1
Q6. What is the slope of line 3x + 2y = 5?
✅ Answer: m = –3/2
🔹 Section B: Short Answer Type-I (2×6 = 12 marks)
Q7. Find the inverse of function
✅ Answer:
Let y = 2x + 1 ⇒ x = (y – 1)/2 ⇒
Q8. Prove:
✅ Answer: Standard identity from Pythagorean theorem on unit circle.
Q9. Write all angles between 0° to 360° for which sin x = ½
✅ Answer: x = 30°, 150°
Q10. Determine whether f(x) = x² is one-one or many-one.
✅ Answer: Many-one (since f(2) = f(–2))
Q11. Find distance between points A(2, 3) and B(5, 7)
✅ Answer:
D =
Q12. Evaluate:
✅ Answer:
🔹 Section C: Short Answer Type-II (4×6 = 24 marks)
Q13. Find the equation of line passing through (1, 2) with slope 3
✅ Answer:
y – 2 = 3(x – 1) ⇒ y = 3x – 1
Q14. Let , B = {1, 4}. Find A × B and B × A
✅ Answer:
A × B = {(1,1), (1,4), (2,1), (2,4), (3,1), (3,4)}
B × A = {(1,1), (1,2), (1,3), (4,1), (4,2), (4,3)}
Q15. Prove:
Q16. If f(x) = x² + 2x – 3, find:
(a) f(1) (b) f(–2) (c) Range if domain = {–2, 0, 1}
✅ Answer:
f(1) = 0, f(–2) = –3, f(0) = –3 ⇒ Range = {–3, 0}
🔹 Section D: Long Answer Type (7×4 = 28 marks)
Q17. Prove:
✅ Answer: Use sum-to-product formulas.
Q18. Find the domain and range of:
✅ Answer:
Domain:
Range:
Q19. Let A = {1, 2, 3}, R = {(1,1), (2,2), (3,3), (1,2)}
Is R reflexive, symmetric, transitive?
✅ Answer:
Reflexive: Yes Symmetric: No Transitive: No
Q20. A particle moves on x-axis with position x(t) = t² + 2t.
Find velocity at t = 3.
✅ Answer:
v = dx/dt = 2t + 2 ⇒ v(3) = 2×3 + 2 = 8