Mathematics MCQs for 1st Year (Punjab Board)

This page has over 11,200 multiple-choice questions for Mathematics (1st Year (Punjab Board)), arranged in 14 chapters and 79 topics. The chapters include Complex Numbers, Functions and Graphs, Theory of Quadratic Functions, Matrices and Determinants and Partial Fractions. Every question has four options, an instant answer and, where available, a short explanation.

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Chapters and topics

  • Complex Numbers 4 topics · 680 MCQs
  • Functions and Graphs 4 topics · 447 MCQs
  • Theory of Quadratic Functions 4 topics · 457 MCQs
  • Matrices and Determinants 5 topics · 682 MCQs
  • Partial Fractions 3 topics · 327 MCQs
  • Sequences and Series 11 topics · 1656 MCQs
  • Permutations and Combinations 5 topics · 765 MCQs
  • Mathematical Inductions and Binomial Theorem 6 topics · 879 MCQs
  • Division of Polynomials 5 topics · 680 MCQs
  • Trigonometric Identities 6 topics · 1077 MCQs
  • Trigonometric Functions and their Graphs 6 topics · 858 MCQs
  • Limit and Continuity 7 topics · 866 MCQs
  • Differentiation 6 topics · 781 MCQs
  • Vectors in Space 7 topics · 1124 MCQs

Sample Mathematics MCQs

Try these questions, then open the full practice to work through every chapter. Tap “Show the answer” after you choose.

Q1. If z = 4 + 3i, then |z|² is:

  1. 7
  2. 49
  3. 25
  4. 19
Show the answer

Answer: C. 25

The correct answer is “25”. |z|² = a² + b² = 16 + 9 = 25.

Q2. The line y = x − 2 meets the x-axis at the point:

  1. (0, 2)
  2. (0, −2)
  3. (2, 0)
  4. (−2, 0)
Show the answer

Answer: C. (2, 0)

The correct answer is “(2, 0)”. Put y = 0: x = 2.

Q3. The solution set of |x + 5| ≥ 1 is:

  1. (−∞, −6) ∪ (−4, ∞)
  2. (−∞, 4] ∪ [6, ∞)
  3. (−∞, −6] ∪ [−4, ∞)
  4. [−6, −4]
Show the answer

Answer: C. (−∞, −6] ∪ [−4, ∞)

The correct answer is “(−∞, −6] ∪ [−4, ∞)”. |x − a| ≥ b ⇔ x < a − b or x > a + b.

Q4. The value of the determinant |−2 −1 ; 3 −2| is:

  1. −8
  2. −7
  3. 1
  4. 7
Show the answer

Answer: D. 7

Determinant = ad − bc = (−2)(−2) − (−1)(3) = 7.

Q5. How many constants are needed in the partial fractions of a proper fraction with denominator x²(x − 4)?

  1. 3
  2. 4
  3. 2
  4. 1
Show the answer

Answer: A. 3

The correct answer is “3”. One constant per term.

Q6. The next term of the sequence 2, 6, 18, 54, … is:

  1. −162
  2. 90
  3. 162
  4. 216
Show the answer

Answer: C. 162

The common ratio is 3, so the next term is 54 × 3 = 162.

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