Mathematics MCQs for 9th Class (Federal Board)

This page has over 1,900 multiple-choice questions for Mathematics (9th Class (Federal Board)), arranged in 11 chapters and 18 topics. The chapters include Real Numbers, Indices and Scientific Notation, Logarithms, Sets and Relations, Factorisation and Algebraic Manipulation and Linear Equations and Inequalities. Every question has four options, an instant answer and, where available, a short explanation.

Chapters and topics

  • Real Numbers, Indices and Scientific Notation 2 topics · 238 MCQs
  • Logarithms 1 topic · 113 MCQs
  • Sets and Relations 2 topics · 222 MCQs
  • Factorisation and Algebraic Manipulation 2 topics · 206 MCQs
  • Linear Equations and Inequalities 1 topic · 109 MCQs
  • Coordinate Geometry 2 topics · 203 MCQs
  • Logic and Proofs 1 topic · 103 MCQs
  • Similar Figures, Polygons and Loci 2 topics · 202 MCQs
  • Trigonometry 2 topics · 204 MCQs
  • Practical Geometry 1 topic · 106 MCQs
  • Statistics and Probability 2 topics · 208 MCQs

Sample Mathematics MCQs

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Q1. 0.0009 in scientific notation is:

  1. 9 × 10⁻⁴
  2. 9 × 10⁴
  3. 9 × 10⁻⁵
  4. 9 × 10⁻³
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Answer: A. 9 × 10⁻⁴

Move the decimal point until one non-zero digit is before it: 0.0009 = 9 × 10⁻⁴.

Q2. The exponential form of log₅ 25 = 2 is:

  1. 5² = 25
  2. 5²⁵ = 2
  3. 25² = 5
  4. 2⁵ = 25
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Answer: A. 5² = 25

The correct answer is “5² = 25”. log_b x = p ⇔ bᵖ = x, so 5² = 25.

Q3. A/an binary relation from A to B is:

  1. the set of all second elements of its ordered pairs
  2. the set of all first elements of its ordered pairs
  3. any subset of A × B
  4. a pair of elements (a, b) in which the order matters
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Answer: C. any subset of A × B

Binary relation from A to B: any subset of A × B.

Q4. The LCM of 6x²y² and 14x³y² is:

  1. 2x²y²
  2. 84x³y²
  3. 42x²y²
  4. 42x³y²
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Answer: D. 42x³y²

LCM: lowest common multiple of the numbers (42) and the highest power of each variable.

Q5. The sum of two consecutive integers is 45. The smaller integer is:

  1. 23
  2. 22
  3. 21
  4. 44
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Answer: B. 22

The correct answer is “22”. x + (x + 1) = 45 ⇒ x = 22.

Q6. The y-intercept of the line 3x + 1y − 9 = 0 is:

  1. 3
  2. 10
  3. −9
  4. 9
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Answer: D. 9

The correct answer is “9”. y-intercept = −c/b = 9.

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