2nd PUC Maths 5 Marks Important Questions 2025: The Department of Pre-University Education, Government of Karnataka, has scheduled the 2nd PUC Maths exam on March 3, 2025, from 10:00 AM to 1:00 PM. Candidates can go through the 2nd PUC Maths 5 Marks Important Questions 2025 here for their reference. Note that the 2nd PUC Maths Examination 2025 will be conducted for 80 marks. The highest weightage Section will be Section D, where the students will have 7 questions for 5 marks, out of which they must attempt any 4 of the questions. These 5 mark questions are likely to be asked from chapters, namely: relations and functions, matrices, determinants, differentiation, integrals, differential equations and application of integrals. The 2nd PUC Maths 5 Marks Important Questions 2025 are available below.
Also Read:
- Karnataka 2nd PUC Physics Answer Key 2025 (Available): Check Unofficial PDF
- Karnataka 2nd PUC Physics Question Paper Analysis 2025: Section Wise Difficulty Level
- 2nd PUC History Answer Key 2025: Detailed Question Paper Analysis
- Karnataka 2nd PUC Statistics Question Paper Analysis 2025: Section Wise Difficulty Level
- Karnataka 2nd PUC Statistics Answer Key 2025: Check Unofficial PDF
- Karnataka 2nd PUC Political Science Answer Key 2025: Check Unofficial PDF
- Karnataka 2nd PUC Political Science Question Paper Analysis 2025: Section Wise Difficulty Level
2nd PUC Maths 5 Marks Important Questions 2025
The 2nd PUC Maths 5 Marks Important Questions 2025 have been provided below.
| Question No. | 2nd PUC Maths 5 Marks Important Questions 2025 |
| Q1. | If P(A) = 3/5 and P(B)=1/5, find P (AB) if A and B are independent events. |
| Q2. | Let f: NY be a function defined as f(x) = 4x + 3, where, Y={ye N: y=4x + 3 for some x ∈ N). Show that fis invertible. Find the inverse. |
| Q3. | A fair coin and an unbiased die are tossed. Let A be the event 'head appears on the coin' and B be the event '3 on the die'. Check whether A and B are independent events or not. |
| Q4. | A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event 'the number is even,' and B be the event 'the number is red. ' Are A and B independent? |
| Q5. | Let E and F be events with P(E) = P(F) =1 and P (EF) = 3. Are 10 E and F independent? |
| Q6. | Given that the events A and B are such that P(A) = P(AUB) = 3/5 and P(B)=p. Find p if they are (i) mutually exclusive and (ii) independent. |
| Q7. | Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4. Find (i) P(A∩B) (ii) P(AUB) (iii) P(AIB) (iv) P(BIA) |
| Q8. | If A and B are two events such that P(A) = 1/4 P/B = 1/2 and P (A~ B) = 1/8, find P (not A and not B) |
| Q9. | Let A (1.2.3. B- (4, 5, 6, 7) and let f= {(1, 4), (2, 5), (3.6)) be a from A to B. Show that fis one-one. |
| Q10. |
In each of the following cases, state whether the function is one-one, onto, or objective. Justify your answer. (1) f: R R defined by f(x) = 3-4x |
| Q11. | Let AR- (3) and B = R - {1}. Consider the function f: A→ B detined by (x)=(二) x-2 x-3 Is f one-one and onto? Justify your answer. |
| Q12. | Show that the function f: R, R, defined by f(x) = 1 X is one-one and onto, where R, is the set of all non-zero real numbers. Is the result true if thermomain R is replaced by N with the co-domain being the same as R? |
Also Read |
- Karnataka 2nd PUC Accounts 2 Marks Important Questions 2025
- 2nd PUC Accountancy Blue Print 2025 Check Chapter Wise Weightage
- Karnataka 2nd PUC Exam 2025 Begins on March 1: Important Guidelines for Exam Day
- 2nd PUC Electric Charge and Field Important Question 2025: Detailed Blue Print
- 2nd PUC Statistics Blue Print 2025 (Available)
- Karnataka 2nd PUC Maths 5 Marks Important Chapters 2025
- Karnataka 2nd PUC Maths Blue Print 2025: Check Chapter Wise Weightage
- Karnataka 2nd PUC Physics Blue Print 2025: Chapter Wise Weightage, Pattern
- Karnataka 2nd PUC Determinants Blue Print 2025: 1, 2, 3, 4 Marks Questions
- Karnataka 2nd PUC Business Studies Blue Print 2025: Chapter Wise Weightage
- 2nd PUC Matrices Blue Print 2025: 1, 2, 3, 4 Marks Questions