Class 11 · Mathematics · Revision Checklist

Class 11 Mathematics
Revision Checklist

66 topics across 14 chapters. Tick off each topic as you revise — your progress is saved automatically in your browser.

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How to use: Tick a topic once you can solve questions on it without notes. Aim for 80%+ before your exam.

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Sets

0/5

I can represent sets using roster and set-builder forms and identify subsets, power sets, and the universal set

I can perform union, intersection, difference, and complement operations and verify using Venn diagrams

I can apply De Morgan's laws and prove set identities using both algebraic and Venn diagram methods

I can solve practical problems using the inclusion-exclusion formula for two and three sets

I can classify sets as finite, infinite, equal, equivalent, and null sets

Relations and Functions

0/4

I can find the domain and range of a relation and represent it as a set of ordered pairs, arrow diagram, or graph

I can identify a function from a relation and classify functions as one-one, onto, and bijective

I can find the domain, range, and graph of standard functions (identity, constant, modulus, signum, greatest integer)

I can perform algebra of functions (sum, difference, product, quotient) and state their domains

Trigonometric Functions

0/5

I can convert between degrees and radians and apply the arc length formula s = rθ

I can state and prove the fundamental trigonometric identities and apply them to simplify expressions

I can find exact values of trigonometric functions for standard angles (0°, 30°, 45°, 60°, 90°, 120°…)

I can apply sum/difference, double angle, and half-angle formulae to prove identities and solve equations

I can sketch the graphs of sin, cos, tan and identify period, amplitude, and phase shift

Complex Numbers and Quadratic Equations

0/5

I can perform addition, subtraction, multiplication, and division of complex numbers in a + bi form

I can find the modulus and argument (amplitude) of a complex number and represent it on the Argand plane

I can convert a complex number to polar (trigonometric) form: r(cos θ + i sin θ)

I can find the square root of a complex number and solve quadratic equations with complex roots

I can apply the conjugate properties and state the fundamental theorem of algebra for quadratic equations

Linear Inequalities

0/4

I can solve linear inequalities in one variable and represent the solution on a number line

I can solve a system of linear inequalities in two variables and shade the feasible region graphically

I can solve inequalities involving absolute value expressions |x| < a and |x| > a

I can formulate and solve word problems modelled by linear inequalities

Permutations and Combinations

0/5

I can apply the fundamental principle of counting (multiplication and addition rules) to multi-stage problems

I can calculate ⁿPr and ⁿCr and state the conditions under which each is used

I can solve word problems involving permutations of distinct objects, objects with repetition, and circular arrangements

I can solve combination problems including selection of committees, handshakes, and arrangements with constraints

I can prove and apply the relation ⁿCr = ⁿC(n-r) and ⁿCr + ⁿC(r-1) = ⁽ⁿ⁺¹⁾Cr

Binomial Theorem

0/5

I can state the Binomial Theorem and expand (a + b)ⁿ for positive integer n

I can write the general term T(r+1) = ⁿCr · aⁿ⁻ʳ · bʳ and use it to find any specified term

I can find the middle term(s) of a binomial expansion depending on whether n is odd or even

I can find the coefficient of a specific power of x in a binomial expansion

I can apply the binomial theorem to find approximations and evaluate expressions like (1.01)¹⁰

Sequences and Series

0/5

I can find the nth term and sum of an arithmetic progression (AP) and solve AP-based word problems

I can find the nth term, sum, and sum to infinity of a geometric progression (GP) and identify convergence conditions

I can find the sum of an arithmetico-geometric progression (AGP)

I can evaluate special sums: Σk, Σk², Σk³ (sum of first n natural numbers, squares, cubes) and apply them

I can insert arithmetic and geometric means between two numbers

Straight Lines

0/5

I can write the equation of a line in all standard forms: slope-intercept, point-slope, two-point, intercept, normal

I can find the slope of a line, the angle between two lines, and conditions for parallelism and perpendicularity

I can find the perpendicular distance from a point to a line and the distance between two parallel lines

I can find the equation of lines passing through the intersection of two given lines

I can shift the origin and rotate axes to simplify line equations

Conic Sections

0/5

I can write the standard equation of a circle and find its centre and radius; solve problems involving conditions on the circle

I can write the standard equation of a parabola (y² = 4ax) and identify vertex, focus, directrix, axis, and latus rectum

I can write the standard equation of an ellipse and identify major/minor axes, vertices, foci, eccentricity, and latus rectum

I can write the standard equation of a hyperbola and identify transverse/conjugate axes, foci, eccentricity, and asymptotes

I can derive the relationship between the conics using eccentricity e: circle (e=0), ellipse (e<1), parabola (e=1), hyperbola (e>1)

Introduction to Three Dimensional Geometry

0/4

I can identify the coordinate axes, planes, and octants in 3D space and plot points

I can apply the 3D distance formula to find the distance between two points

I can apply the section formula (internal and external) to find the coordinates of a dividing point in 3D

I can find the coordinates of the centroid of a triangle in 3D given its vertices

Limits and Derivatives

0/5

I can evaluate limits of algebraic and trigonometric functions using standard results and factorisation

I can apply the standard limits lim(x→0) sin x/x = 1 and lim(x→0) (1-cos x)/x = 0 to evaluate problems

I can find the derivative of a function from first principles (definition of derivative)

I can apply rules of differentiation: sum, product, quotient, chain rule for standard functions

I can differentiate polynomial, trigonometric, and composite functions

Statistics

0/4

I can calculate the mean of grouped and ungrouped data using direct, assumed mean, and step deviation methods

I can calculate the variance and standard deviation for grouped and ungrouped data

I can use the coefficient of variation (CV = σ/x̄ × 100) to compare the variability of two or more distributions

I can interpret range, mean deviation about mean and median as measures of dispersion

Probability

0/5

I can define sample space, events, and use set notation to express events for random experiments

I can apply the classical definition of probability P(E) = n(E)/n(S) to equally likely outcomes

I can apply the addition theorem P(A∪B) = P(A) + P(B) − P(A∩B) to solve problems

I can identify mutually exclusive and exhaustive events and apply the complementary probability rule

I can apply conditional probability P(A|B) and verify independence of events

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Class 11 MathematicsRevision Checklist

Class 11 Mathematics — Revision Checklist