Practise 484 real Federal Board Mathematics questions from 2023 to 2026. See an answer and explanation as soon as you answer.
FSC Mathematics is examined by the Federal Board of Intermediate and Secondary Education (FBISE) in the annual examinations, for 11th and 12th class. Tayyari Karo has real questions from 2023 to 2026, covering topics such as Differentiation, Conic Sections, Vectors, Integration and Functions and Limits. Working through real papers is the fastest way to learn the paper pattern and the way questions are worded.
200 of the questions are multiple choice and marked instantly; the rest are short and long questions with a model answer. The answers are prepared by Tayyari Karo, since we could not find an official marking scheme.
These are real past-paper questions. Think of your answer first, then open the explanation.
If a function f : A → B is such that Range f ≠ B, then f is called an:
Answer: A. Into function
When the range of f is a proper subset of the co‑domain B (does not cover all of B), f is an into function.
The simplified form of (−1)^(23/2) is:
Answer: C. i
(−1)^(23/2) = [(−1)²³]^(1/2) = (−1)^(1/2) = i.
If det A = 5, what is the value of det(15A)? (where order of A is 2×2)
Answer: D. 1125
det(kA) = kⁿ det(A) for an n×n matrix. Here n = 2, so det(15A) = 15² × 5 = 225 × 5 = 1125.
Use synthetic division to find the values of 'S' and 'T' if (x−1) and (x+2) are factors of the polynomial x³ − Sx² + Tx + 6.
Since (x−1) is a factor, x = 1 is a root: 1 − S + T + 6 = 0 ⇒ T = S − 7 ... (1)
Since (x+2) is a factor, x = −2 is a root: −8 − 4S − 2T + 6 = 0 ⇒ 2S + T = −1 ⇒ T = −1 − 2S ... (2)
Equating (1) and (2): S − 7 = −1 − 2S ⇒ 3S = 6 ⇒ S = 2
Then T = 2 − 7 = −5.
(Check: 2(2) + (−5) = −1 ✓)
Number of questions available for each exam session.
| Session | 11th class | 12th class |
|---|---|---|
| 2026 Annual | 52 | 52 |
| 2025 1st Annual | 52 | 52 |
| 2025 2nd Annual | 52 | 52 |
| 2024 Annual | 40 | 48 |
| 2023 Annual | 42 | 42 |
Yes. Every question comes from a Federal Board (FBISE) Mathematics paper from 2023 to 2026, and each one shows the session it came from.
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.
You can start free with no signup. A small set of papers per subject is free, and Premium unlocks the full question bank.
11th and 12th class. The table below shows how many questions we have for each exam session.
