Chapters and topics
- Complex Numbers 2 topics · 270 MCQs
- Matrices and Determinants 2 topics · 209 MCQs
- Sequences and Series 2 topics · 223 MCQs
- Mathematical Induction and Binomial Theorem 2 topics · 208 MCQs
- Polynomials: Remainder and Factor Theorems 2 topics · 205 MCQs
- Vectors: Dot, Cross and Triple Products 2 topics · 210 MCQs
- Trigonometric Identities 2 topics · 339 MCQs
- Trigonometric Functions and Graphs 2 topics · 204 MCQs
- Permutations and Combinations 2 topics · 204 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. The roots of z² + 6z + 34 = 0 are:
- −3 + 5i and −3 − 5i
- 3 + 5i and 3 − 5i
- 5 − 3i and 5 + 3i
- 2 and −8
Show the answer
Answer: A. −3 + 5i and −3 − 5i
Complete the square: (z + 3)² = −25, so z = −3 + 5i, −3 − 5i.
Q2. The value of the determinant |−2 4 ; 1 −4| is:
- 12
- 14
- −4
- 4
Show the answer
Answer: D. 4
Determinant = ad − bc = (−2)(−4) − (4)(1) = 4.
Q3. The recurring decimal 0.8181… as a fraction (using an infinite G.P.) is:
- 5/11
- 1/3
- 2/3
- 9/11
Show the answer
Answer: D. 9/11
The correct answer is “9/11”. 0.8181… = 9/11.
Q4. The general term of (a + b)ⁿ is:
- Tᵣ₊₁ = n!aʳ
- Tᵣ₊₁ = ⁿCᵣ aⁿ⁻ʳ bʳ
- Tᵣ = ⁿCᵣ aʳ bⁿ⁻ʳ
- Tᵣ₊₁ = ⁿCᵣ₊₁ aⁿ bʳ
Show the answer
Answer: B. Tᵣ₊₁ = ⁿCᵣ aⁿ⁻ʳ bʳ
The correct answer is “Tᵣ₊₁ = ⁿCᵣ aⁿ⁻ʳ bʳ”. (r + 1)th term.
Q5. When 3x³ − 9x² − 4x + 10 is divided by (x − 3), the quotient is:
- −3x² + 4
- 3x² − 7
- 3x² − 3
- 3x² − 4
Show the answer
Answer: D. 3x² − 4
Synthetic division gives quotient 3x² − 4 and remainder −2.
Q6. If a = 3i − 2k and b = 5j + 2k, then a·b = ?
- 4
- 7
- −4
- −2
Show the answer
Answer: C. −4
The correct answer is “−4”. a·b = a₁b₁ + a₂b₂ + a₃b₃ = −4.
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