If R = {(4,5),(5,4),(5,6),(5,4)} then domain of R is:
- {4,5,6}
- {5,6}
- {4,6}
- {4,5}
Show answer and explanation
Answer: D. {4,5}
Domain = set of first components = {4,5}.
Matric General Mathematics: Sets and Functions, questions with answers
Practise 35 real Federal Board questions on Sets and Functions from 2023 to 2026. See the answer and explanation as soon as you answer.
35real questions
16multiple choice
5exam sessions
About Sets and Functions in Matric General Mathematics
Sets and Functions is one of the 9 main chapters in our Federal Board Matric General Mathematics question bank (9th class), and about 10% of its real questions come from it. Tayyari Karo has 35 real questions on this chapter from 2023 to 2026; 16 are multiple choice and marked instantly, and the rest are short and long questions with a model answer. By difficulty: 19 easy, 16 medium.
Work through the questions below, then open the explanation for each one. Redo the ones you missed a few days later.
Try 8 real questions
These are real past-paper questions. Think of your answer first, then open the explanation.
If A and B are the two sets, then A ∩ B = B ∩ A is called:
- Commutative law
- Associative law
- De Morgan's law
- Complement of two sets
Show answer and explanation
Answer: A. Commutative law
Order does not matter: commutative law of intersection.
If U = {1,2,3,4}, A = {4} then A′ = :
- {1,2}
- ∅
- {1,2,3}
- {1}
Show answer and explanation
Answer: C. {1,2,3}
A′ = U − A = {1,2,3}.
(A ∪ B)′ =
- A′ ∪ B′
- (A ∩ B)′
- A′ ∩ B′
- A ∪ B
Show answer and explanation
Answer: C. A′ ∩ B′
De Morgan's law: (A∪B)′ = A′ ∩ B′.
Any subset of a cartesian product is called:
- Domain
- Binary relation
- Ordered pairs
- Range
Show answer and explanation
Answer: B. Binary relation
A subset of A × B is a binary relation.
For y = 2 in 2x − y = 6, we have x = ?
- 4
- −4
- 2
- −2
Show answer and explanation
Answer: A. 4
2x − 2 = 6 ⇒ x = 4.
If A = {l,m,n}, B = {1,2,3} and g = {(l,3),(m,1),(n,1)} is a binary relation from A×B then show that g is A into B function.
Show model answer
g ⊆ A × B. Each of l, m, n has exactly one image (3, 1, 1), so g is a function from A to B.
Its range {1,3} ≠ B = {1,2,3} (2 has no pre-image), so g is an into function.
If U = {7,8,9,10,11,12,13,14}, A = {7,10,13,14}, B = {7,8,11,12} then verify (A ∩ B)^c = A^c ∪ B^c
Show model answer
A∩B = {7}; (A∩B)^c = {8,9,10,11,12,13,14}.
A^c = {8,9,11,12}, B^c = {9,10,13,14}; A^c∪B^c = {8,9,10,11,12,13,14}.
Both sides are equal. Verified.
Sessions with Sets and Functions questions
| Session | Questions |
|---|---|
| 2026 Annual | 8 |
| 2025 1st Annual | 6 |
| 2025 2nd Annual | 7 |
| 2024 Annual | 7 |
| 2023 Annual | 7 |
Common questions
What does the Sets and Functions chapter cover on this page?
35 real Federal Board (FBISE) General Mathematics questions on Sets and Functions from 2023 to 2026, for 9th class. Each one shows the session it came from.
Are the answers official?
No. We could not find an official FBISE marking scheme for these papers, so the answers and explanations are written by Tayyari Karo for practice. Check anything important with your teacher or textbook.
Is it free?
You can start free with no signup. A small set of papers per subject is free, and Premium unlocks the full question bank.