Wondering how well you know Mathematics? These Class 11 mock tests, made for CBSE 2026-27, give you an instant score after each attempt, so you always know where you stand.
Class 11 Mathematics Online Practice, Chapter-wise
Each chapter of Mathematics in Class 11 has its own test below, built around the current CBSE 2026-27 marking scheme. Click to begin instantly. No login, and no limit on retakes.
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Class 11 Mathematics: Concept Navigators & Chapter Diagnostic Tests Select any chapter below to use real-time maths calculators and solve high-yield CBSE diagnostic questions with verified explanations. Interactive Concept Tool: Set Operations Calculator Q1.If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ B? Answer: (b) {2, 3}. The intersection A ∩ B contains only elements common to both sets.
Q2.The set of all subsets of a set A is called its: Answer: (c) Power set. If a set has n elements, its power set has 2n elements, including the empty set and the set itself.
Q3.If n(A) = 5, n(B) = 3, and n(A ∩ B) = 2, what is n(A ∪ B)? Answer: (a) 6. By the formula n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 5 + 3 - 2 = 6.
Interactive Concept Tool: Function Evaluator f(x) = ax² + bx + c Q1.A relation f from set A to set B is called a function if: Answer: (c) Every element of A has exactly one image in B. This is the defining property of a function — uniqueness of the image.
Q2.If f(x) = 2x + 3, what is f(5)? Answer: (c) 13. f(5) = 2(5) + 3 = 10 + 3 = 13.
Q3.The domain of the function f(x) = 1/(x-2) is: Answer: (b) All real numbers except x = 2. The function is undefined when the denominator equals zero, i.e., at x = 2.
Interactive Concept Tool: Standard Trig Value Lookup Q1.What is the value of sin²θ + cos²θ? Answer: (b) 1. This is the fundamental Pythagorean trigonometric identity, true for all values of θ.
Q2.One radian is equal to approximately: Answer: (a) 57.3°. Since π radians = 180°, 1 radian = 180/π ≈ 57.3°.
Q3.The value of sin(90° - θ) equals: Answer: (c) cosθ. This is a standard complementary angle identity: sin(90° - θ) = cosθ.
Interactive Concept Tool: Quadratic Discriminant Calculator Q1.The value of i² (where i = √-1) is: Answer: (b) -1. By definition, i is the imaginary unit such that i² = -1.
Q2.If the discriminant (b² - 4ac) of a quadratic equation is negative, the roots are: Answer: (c) Complex conjugates. A negative discriminant means √(b²-4ac) is imaginary, giving two complex conjugate roots.
Q3.The modulus of the complex number z = 3 + 4i is: Answer: (a) 5. Modulus |z| = √(3² + 4²) = √25 = 5.
Interactive Concept Tool: Inequality Sign-Flip Checker Q1.When both sides of an inequality are multiplied by a negative number, the inequality sign: Answer: (a) Reverses direction. E.g., -2x < 6 becomes x > -3 when dividing both sides by -2.
Q2.The solution set of x > 3 on a number line is represented by: Answer: (c) An open circle at 3, shading right. An open circle indicates 3 itself is excluded (strict inequality), and shading right shows all values greater than 3.
Q3.The graph of a linear inequality in two variables (e.g., x + y ≤ 5) divides the plane into: Answer: (b) Two half-planes. The boundary line x + y = 5 splits the plane, with the inequality's solution being one of the two half-planes (including the line, for ≤ or ≥).
Interactive Concept Tool: nPr / nCr Calculator Q1.What is the value of 5! (5 factorial)? Answer: (c) 120. 5! = 5 × 4 × 3 × 2 × 1 = 120.
Q2.Permutations differ from combinations in that permutations: Answer: (a) Take order into account. Permutations count arrangements (order matters); combinations count selections (order doesn't matter), so nPr ≥ nCr always.
Q3.The number of ways to choose 3 members from a group of 5 (order doesn't matter) is given by: Answer: (b) 5C3 = 10. nCr = n!/(r!(n-r)!) = 5!/(3!×2!) = 10.
Interactive Concept Tool: Binomial Coefficient Finder Q1.The total number of terms in the expansion of (x + y)n is: Answer: (c) n + 1. The expansion runs from the term with xn down to yn, giving n+1 total terms.
Q2.The sum of the binomial coefficients in the expansion of (1 + x)n is: Answer: (b) 2n. Setting x = 1 in (1+x)n = ΣnCr · xr gives ΣnCr = 2n.
Q3.The general term in the binomial expansion of (x + y)n is given by: Answer: (a) Tr+1 = nCr · xn-r · yr. This formula lets you find any specific term in the expansion without writing out the whole thing.
Interactive Concept Tool: AP nth Term & Sum Calculator Q1.In a Geometric Progression (GP), each term (after the first) is obtained by: Answer: (b) Multiplying the previous term by a constant ratio. This constant is called the common ratio (r); an AP instead adds a constant common difference (d).
Q2.The nth term of an Arithmetic Progression (AP) is given by: Answer: (a) an = a + (n-1)d. Here a is the first term and d is the common difference.
Q3.The sum to infinity of a GP with |r| < 1 is given by S∞ =: Answer: (c) a/(1 - r). This formula only converges (gives a finite sum) when the common ratio's absolute value is less than 1.
Interactive Concept Tool: Slope Calculator Q1.Two lines are parallel if their slopes are: Answer: (a) Equal. Parallel lines never intersect and maintain the same slope (m₁ = m₂); perpendicular lines have slopes that are negative reciprocals (m₁ × m₂ = -1).
Q2.The slope-intercept form of a straight line equation is: Answer: (b) y = mx + c. Here m is the slope and c is the y-intercept (the point where the line crosses the y-axis).
Q3.The distance of a point (x₁, y₁) from the line Ax + By + C = 0 is given by: Answer: (c) |Ax₁ + By₁ + C| / √(A² + B²). This is the perpendicular distance formula from a point to a line.
Interactive Concept Tool: Conic Identifier Q1.A conic section formed by cutting a cone with a plane parallel to its base is a: Answer: (a) Circle. A plane cutting parallel to the base of a cone always produces a circle.
Q2.For a circle x² + y² = r², the centre and radius are: Answer: (b) Centre (0, 0), radius r. This is the standard form of a circle centred at the origin.
Q3.The eccentricity of a parabola is always: Answer: (b) 1. Eccentricity e = 0 for a circle, 0 < e < 1 for an ellipse, e = 1 for a parabola, and e > 1 for a hyperbola.
Interactive Concept Tool: 3D Distance Calculator Q1.In 3D space, a point is represented using how many coordinates? Answer: (b) 3. A point in 3D space is denoted (x, y, z), one coordinate for each of the three mutually perpendicular axes.
Q2.The three coordinate planes in 3D geometry (XY, YZ, ZX) intersect at: Answer: (c) The origin (0, 0, 0). All three coordinate planes pass through and intersect exactly at the origin.
Q3.The distance formula between two points (x₁,y₁,z₁) and (x₂,y₂,z₂) in 3D is: Answer: (a) √[(x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²]. This extends the 2D distance formula by adding the squared difference of the z-coordinates.
Interactive Concept Tool: Power Rule Derivative Finder (d/dx xn) Q1.What is the derivative of x³ with respect to x? Answer: (b) 3x². By the power rule, d/dx(xn) = nxn-1, so d/dx(x³) = 3x².
Q2.The derivative of a function at a point represents its: Answer: (c) Instantaneous rate of change (slope of the tangent). The derivative gives the slope of the tangent line to the curve at that specific point.
Q3.What is limx→0 (sin x)/x? Answer: (a) 1. This is a standard limit result, foundational for deriving the derivative of sin x.
Interactive Concept Tool: Mean & Range Calculator Q1.The measure of dispersion that uses the square of deviations from the mean is called: Answer: (c) Variance. Variance = (1/n)Σ(xi - mean)²; standard deviation is simply the square root of variance.
Q2.The Range of a data set is defined as: Answer: (a) Maximum value - Minimum value. Range is the simplest measure of dispersion, showing the spread between the extremes of a data set.
Q3.A smaller standard deviation indicates that data points are: Answer: (b) Closely clustered around the mean. Standard deviation quantifies the average distance of data points from the mean; a smaller value means less spread.
Interactive Concept Tool: Basic Probability Calculator Q1.The probability of an impossible event is: Answer: (b) 0. An impossible event has zero probability of occurring; a certain event has probability 1.
Q2.Two events are called mutually exclusive if: Answer: (a) They cannot occur at the same time. For mutually exclusive events, P(A ∩ B) = 0, so P(A ∪ B) = P(A) + P(B).
Q3.When a fair die is rolled once, the probability of getting an even number is: Answer: (c) 1/2. There are 3 favourable outcomes (2, 4, 6) out of 6 total outcomes, giving 3/6 = 1/2.
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You can start the latest Mathematics mock tests for Class 11 by selecting your chapter from the links above. These tests are free, dont need login and are optimized for the 2026-27 academic session.
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