Mathematics MCQs for Learning and Practice Grade 9

Mathematics MCQs for Learning and Practice

Mathematics is a fundamental subject that sharpens logical thinking and problem-solving skills. To help students master key mathematical concepts, we have compiled a set of engaging multiple-choice questions covering chapters from the FBISE syllabus. These questions, sourced from past papers and essential textbooks, serve as an excellent tool for self-assessment and revision.

FBISE Class 9th New Course Mathematics MCQs

1. The additive inverse of √5 is:
   Ⓐ -√5 Ⓑ √5 Ⓒ 5 Ⓓ -5
   Answer: Ⓐ -√5
2. √2 is a number of which type?
   Ⓐ Rational Ⓑ Irrational Ⓒ Prime Ⓓ Odd
   Answer: Ⓑ Irrational
3. Which of the following is not a natural number?
   Ⓐ 13 Ⓑ 9 Ⓒ 17 Ⓓ 0
   Answer: Ⓓ 0
4. Which of the following is not a prime number?
   Ⓐ 13 Ⓑ 9 Ⓒ 17 Ⓓ 19
   Answer: Ⓑ 9
5. The property of the multiplicative identity states:
   Ⓐ ab = ba Ⓑ a + b = b + a Ⓒ a × 1 = a = 1 × a Ⓓ a + 0 = a
   Answer: Ⓒ a × 1 = a = 1 × a
6. √(ab) = ?
   Ⓐ a × b Ⓑ a + b Ⓒ a - b Ⓓ √a × √b
   Answer: Ⓓ √a × √b
7. √(√a) = ?
   Ⓐ √a Ⓑ a^(1/4) Ⓒ a² Ⓓ None of these
   Answer: Ⓑ a^(1/4)
8. a^(m/n) = ?
   Ⓐ a^(m/a) Ⓑ a^m Ⓒ a^(m/n) Ⓓ a^(mn)
   Answer: Ⓒ a^(m/n)
9. If 16^x * 2 = 4, then x = ?
   Ⓐ -4 Ⓑ 0 Ⓒ 8 Ⓓ -2
   Answer: Ⓓ -2
10. Which of the following is an irrational number?
    Ⓐ √3 Ⓑ -9 Ⓒ 17 Ⓓ 0
    Answer: Ⓐ √3
11. (3+4) × (2 × 3) + (3 × 4) follows which property?
    Ⓐ Commutative Ⓑ Associative Ⓒ Distributive Ⓓ Closure
    Answer: Ⓒ Distributive
12. Which set has closure property under addition?
    Ⓐ {0} Ⓑ {0,-1} Ⓒ {0,1} Ⓓ {1,2}
    Answer: Ⓒ {0,1}
13. The multiplicative identity of real numbers is:
    Ⓐ 0 Ⓑ 1 Ⓒ -1 Ⓓ R
    Answer: Ⓑ 1
14. 0 is:
    Ⓐ A positive integer Ⓑ A negative integer Ⓒ Neither positive nor negative Ⓓ Not an integer
    Answer: Ⓒ Neither positive nor negative
15. √3 is a:
    Ⓐ Real number Ⓑ Rational number Ⓒ Natural number Ⓓ None of these
    Answer: Ⓐ Real number
16. The set {0, ±1, ±2, ±3,....} is called the set of:
    Ⓐ Integers Ⓑ Whole numbers Ⓒ Natural numbers Ⓓ Rational numbers
    Answer: Ⓐ Integers
17. (a + b)² + (a - b)² = ?
    Ⓐ 4ab Ⓑ 2(a² + b²) Ⓒ a³ - b³ Ⓓ None
    Answer: Ⓑ 2(a² + b²)
18. (x + y)(x² - xy + y²) = ?
    Ⓐ (x - y) Ⓑ (x - y)³ Ⓒ x³ + y³ Ⓓ None
    Answer: Ⓒ x³ + y³
19. Factorization is the reverse process of:
    Ⓐ Addition Ⓑ Subtraction Ⓒ Multiplication Ⓓ Division
    Answer: Ⓒ Multiplication
20. If x - a is a factor of p(x), then the remainder is:
    Ⓐ a Ⓑ -a Ⓒ 0 Ⓓ x
    Answer: Ⓒ 0
21. Find m so that x² + 4x + m is a perfect square:
    Ⓐ 8 Ⓑ -8 Ⓒ 4 Ⓓ 16
    Answer: Ⓒ 4
22. 4(x + 3) = x + 3 is which type of equation?
    Ⓐ Cubic Ⓑ Quadratic Ⓒ Conditional Ⓓ None of these
    Answer: Ⓒ Conditional
23. Inequality was introduced by:
    Ⓐ Thomas Harriot Ⓑ Robert Bruce Ⓒ Isaac Newton Ⓓ John Thomson
    Answer: Ⓐ Thomas Harriot
24. An inconsistent equation is one whose solution set is:
    Ⓐ 1 Ⓑ 0 Ⓒ x Ⓓ None
    Answer: Ⓑ 0
25. x + 3 = 0, then x = ?
    Ⓐ 1 Ⓑ 3 Ⓒ -3 Ⓓ 0
    Answer: Ⓒ -3