If P(x) = x³ − 2x² + 5x + 1, then find P(1):
- 0
- 5
- −5
- −7
Show answer and explanation
Answer: B. 5
P(1) = 1 − 2 + 5 + 1 = 5.
Matric General Mathematics: Algebra, questions with answers
Practise 93 real Federal Board questions on Algebra from 2023 to 2026. See the answer and explanation as soon as you answer.
93real questions
35multiple choice
5exam sessions
About Algebra in Matric General Mathematics
Algebra is one of the 9 main chapters in our Federal Board Matric General Mathematics question bank (10th class), and about 27% of its real questions come from it. Tayyari Karo has 93 real questions on this chapter from 2023 to 2026; 35 are multiple choice and marked instantly, and the rest are short and long questions with a model answer. By difficulty: 46 medium, 30 easy, 17 hard.
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.
Complete solution of |x| = 3 is:
- 3
- −3
- ±3
- 0
Show answer and explanation
Answer: C. ±3
|x| = 3 gives x = 3 or x = −3.
An equation that can be written in the form ax + b = 0, (a ≠ 0) where a and b are constants and x is a variable, is called:
- Inequality
- Linear equation
- Quadratic equation
- Absolute value equation
Show answer and explanation
Answer: B. Linear equation
ax + b = 0 is a linear equation.
Factorization of x⁴ − 16 is:
- (x−2)(x+2)
- (x−4)(x+4)
- (x−2)(x+4)
- (x−2)(x+2)(x²+4)
Show answer and explanation
Answer: D. (x−2)(x+2)(x²+4)
x⁴ − 16 = (x² − 4)(x² + 4) = (x−2)(x+2)(x²+4).
Factorization of a² − 1 is:
- (a−1)(a+1)
- (a+1)(a+1)
- (a−1)
- (a²+1)(a+1)
Show answer and explanation
Answer: A. (a−1)(a+1)
Difference of squares.
An algebraic expression of the form P(x)/Q(x), Q(x) ≠ 0 and P(x), Q(x) are polynomials is called:
- Irrational number
- Rational expression
- Pure surd
- Irrational expression
Show answer and explanation
Answer: B. Rational expression
A ratio of two polynomials (denominator non-zero) is a rational expression.
Simplify: [x(2x − 1)²/(2x² − 1)] ÷ [(4x² − 1)/(4x² + 4x + 1)]
Show model answer
4x² − 1 = (2x − 1)(2x + 1) and 4x² + 4x + 1 = (2x + 1)².
= [x(2x − 1)²/(2x² − 1)] × [(2x + 1)²/((2x − 1)(2x + 1))]
= x(2x − 1)(2x + 1)/(2x² − 1).
If B = 3x² + 14x + 8, H = 3x + 2, L = 6x³ + 25x² + 2x − 8, find A (polynomial). (Take H as H.C.F. and L as L.C.M. of A and B, so A × B = H × L.)
Show model answer
B = (3x + 2)(x + 4). From A × B = H × L: A = H·L/B = (3x + 2)·L/[(3x + 2)(x + 4)] = L/(x + 4).
(6x³ + 25x² + 2x − 8) ÷ (x + 4) = 6x² + x − 2.
A = 6x² + x − 2 = (3x + 2)(2x − 1).
Sessions with Algebra questions
| Session | Questions |
|---|---|
| 2026 Annual | 20 |
| 2025 1st Annual | 14 |
| 2025 2nd Annual | 23 |
| 2024 Annual | 20 |
| 2023 Annual | 16 |
Common questions
What does the Algebra chapter cover on this page?
93 real Federal Board (FBISE) General Mathematics questions on Algebra from 2023 to 2026, for 10th 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.