Chapters and topics
- Graphical Representation of Functions 11 topics · 807 MCQs
- Further Differentiation 14 topics · 975 MCQs
- Integration 8 topics · 680 MCQs
- Differential Equations 3 topics · 127 MCQs
- Analytical Geometry 10 topics · 835 MCQs
- Conic Sections 6 topics · 427 MCQs
- Kinematics of Motion in a Straight Line 7 topics · 460 MCQs
- Numerical Solutions of Nonlinear Equations 5 topics · 345 MCQs
- Inverse Trigonometric Functions and Their Graphs 7 topics · 256 MCQs
- Solution of Trigonometric Equations 3 topics · 156 MCQs
- Vector Valued Functions and Their Derivatives 5 topics · 385 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. Solve 2^(x + 2) = 4.
- x = 1
- x = 4
- x = 0
- x = 2
Show the answer
Answer: C. x = 0
Equate exponents: x + (2) = 2.
Q2. For f(x) = -2x² − 16x − 37, the extreme value is:
- Maximum value 5 at x = 4
- Maximum value -4 at x = -5
- Minimum value -5 at x = -4
- Maximum value -5 at x = -4
Show the answer
Answer: D. Maximum value -5 at x = -4
Vertex form gives the extremum.
Q3. A particle has velocity v(t) = t + 1 m/s. Distance travelled from t = 0 to t = 2 s is:
- 3 m
- 4 m
- 6 m
- 8 m
Show the answer
Answer: B. 4 m
Distance = ∫ v dt.
Q4. The order of the differential equation (d²y/dx²)³ + dy/dx = x is:
- 2
- 1
- 5
- 3
Show the answer
Answer: A. 2
Order = highest derivative.
Q5. The centroid (intersection of medians) of the triangle with vertices (-6, 2), (-5, 1), (0, 5) is:
- (8/3, -11/3)
- (-11/2, 4)
- (-11, 8)
- (-11/3, 8/3)
Show the answer
Answer: D. (-11/3, 8/3)
Average of the vertices.
Q6. The point (1, -3) lies ___ the circle x² + y² − 8y + 15 = 0.
- outside
- at the centre of
- on
- inside
Show the answer
Answer: A. outside
S₁ = 49.
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