(1/9)^(−3/2) = ?
- 27
- 1/27
- ±27
- ±1/27
Show answer and explanation
Answer: A. 27
(1/9)^(−3/2) = 9^(3/2) = (9^(1/2))³ = 3³ = 27.
Matric Mathematics past papers with answers (FBISE)
Practise 346 real Federal Board Mathematics questions from 2023 to 2026. See an answer and explanation as soon as you answer.
346real questions
5exam sessions
2classes covered
About Matric Mathematics
Matric Mathematics is examined by the Federal Board of Intermediate and Secondary Education (FBISE) in the annual examinations, for 9th and 10th class. Tayyari Karo has real questions from 2023 to 2026, covering topics such as Sets and Functions, Basic Statistics, Introduction to Trigonometry, Theory of Quadratic Equations and Chords of a Circle. Working through real papers is the fastest way to learn the paper pattern and the way questions are worded.
135 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.
Topics you can practise
- Sets and Functions 28
- Basic Statistics 25
- Introduction to Trigonometry 21
- Theory of Quadratic Equations 21
- Chords of a Circle 17
- Quadratic Equations 16
- Real and Complex Numbers 15
- Statistics 15
- Linear Graphs 14
- Factorization 13
- Introduction to Coordinate Geometry 13
- Variations 12
- Tangent to a Circle 12
- Linear Equations and Inequalities 11
- Partial Fractions 11
- Theorems Related with Area 10
- Algebraic Manipulation 10
- Angle in a Segment of a Circle 8
Try 4 real questions
These are real past-paper questions. Think of your answer first, then open the explanation.
For sets A = {a,b} and B = {1,2} then R = {(a,1),(b,2)} is a subset of:
- A×A
- A×B
- B×A
- B×B
Show answer and explanation
Answer: B. A×B
Each pair has its first element from A and second from B, so R ⊆ A×B.
Factorization of 4a² − 12ab + 9b² is:
- (2a−3b)²
- (2a+3b)²
- (4a+3b)²
- (4a−3b)²
Show answer and explanation
Answer: A. (2a−3b)²
4a²−12ab+9b² = (2a)² − 2(2a)(3b) + (3b)² = (2a−3b)².
Simplify the expression: [(x²y⁻³z⁴)⁵ × (x⁻⁴y⁷z⁻²)³]^(1/2)
Show model answer
(x²y⁻³z⁴)⁵ = x¹⁰y⁻¹⁵z²⁰
(x⁻⁴y⁷z⁻²)³ = x⁻¹²y²¹z⁻⁶
Product = x^(10−12) y^(−15+21) z^(20−6) = x⁻²y⁶z¹⁴
Raising to power 1/2: x⁻¹y³z⁷ = y³z⁷/x
Sessions covered
Number of questions available for each exam session.
| Session | 9th class | 10th class |
|---|---|---|
| 2026 Annual | 39 | 39 |
| 2025 1st Annual | 39 | 39 |
| 2025 2nd Annual | 39 | 39 |
| 2024 Annual | 39 | 39 |
| 2023 Annual | – | 34 |
Common questions
Are these real Matric Mathematics past-paper questions?
Yes. Every question comes from a Federal Board (FBISE) Mathematics paper from 2023 to 2026, and 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.
Which classes does this cover?
9th and 10th class. The table below shows how many questions we have for each exam session.