Here is a list of all of the maths skills students learn in class XI! These skills are organised into categories, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. Nexustutor will track your score, and the questions will automatically increase in difficulty as you improve!
A.1 Simple interest
A.2 Compound interest
A.3 Continuously compounded interest
A.4 Percent of a number: VAT, discount and more
A.5 Find the percent: discount and mark-up
A.6 Multi-step problems with percents
B.1 Graph inequalities
B.2 Write inequalities from graphs
B.3 Identify solutions to inequalities
B.4 Solve one-step linear inequalities: addition and subtraction
B.5 Solve one-step linear inequalities: multiplication and division
B.6 Solve one-step linear inequalities
B.7 Graph solutions to one-step linear inequalities
B.8 Solve two-step linear inequalities
B.9 Graph solutions to two-step linear inequalities
B.10 Solve advanced linear inequalities
B.11 Graph solutions to advanced linear inequalities
B.12 Graph compound inequalities
B.13 Write compound inequalities from graphs
B.14 Solve compound inequalities
B.15 Graph solutions to compound inequalities
B.16 Graph solutions to quadratic inequalities
B.17 Solve quadratic inequalities
C.1 Relations: convert between tables, graphs, mappings and lists of points
C.2 Domain and range of relations
C.3 Identify independent and dependent variables
C.4 Identify functions
C.5 Identify functions: vertical line test
C.6 Find values using function graphs
C.7 Evaluate a function
C.8 Evaluate a function: plug in an expression
C.9 Complete a function table from a graph
C.10 Complete a function table from an equation
C.11 Interpret the graph of a function: word problems
D.1 Find the slope of a graph
D.2 Find the slope from two points
D.3 Find a missing coordinate using slope
D.4 Slope-intercept form: find the slope and y-intercept
D.5 Slope-intercept form: graph an equation
D.6 Slope-intercept form: write an equation from a graph
D.7 Slope-intercept form: write an equation
D.8 Slope-intercept form: write an equation from a table
D.9 Slope-intercept form: write an equation from a word problem
D.10 Write linear functions to solve word problems
D.11 Complete a table and graph a linear function
D.12 Write equations in standard form
D.13 Standard form: find x- and y-intercepts
D.14 Standard form: graph an equation
D.15 Equations of horizontal and vertical lines
D.16 Graph a horizontal or vertical line
D.17 Slopes of parallel and perpendicular lines
D.18 Write an equation for a parallel or perpendicular line
D.19 Transformations of linear functions
E.1 Does (x, y) satisfy the inequality?
E.2 Linear inequalities: solve for y
E.3 Graph a linear inequality in the coordinate plane
E.4 Linear inequalities: word problems
E.5 Is (x, y) a solution to the system of inequalities?
E.6 Solve systems of linear inequalities by graphing
E.7 Solve systems of linear and absolute value inequalities by graphing
F.1 Introduction to complex numbers
F.2 Add and subtract complex numbers
F.3 Complex conjugates
F.4 Multiply complex numbers
F.5 Divide complex numbers
F.6 Add, subtract, multiply and divide complex numbers
F.7 Absolute values of complex numbers
F.8 Powers of i
G.1 Introduction to the Argand plane
G.2 Graph complex numbers
G.3 Addition in the Argand plane
G.4 Subtraction in the Argand plane
G.5 Graph complex conjugates
G.6 Absolute value in the Argand plane
G.7 Midpoints in the Argand plane
G.8 Distance in the Argand plane
H.1 Factorise out a monomial
H.2 Factorise quadratic polynomials
H.3 Factorise quadratics using algebra tiles
H.4 Factorise using a quadratic pattern
H.5 Factorise by grouping
H.6 Factorise sums and differences of cubes
H.7 Factorise polynomials
I.1 Characteristics of quadratic functions
I.2 Complete a function table: quadratic functions
I.3 Find a quadratic function
I.4 Graph a quadratic function
I.5 Match quadratic functions and graphs
I.6 Solve a quadratic equation using square roots
I.7 Solve a quadratic equation using the zero product property
I.8 Solve a quadratic equation by factorising
I.9 Complete the square
I.10 Solve a quadratic equation using the quadratic formula
I.11 Using the discriminant
J.1 Polynomial vocabulary
J.2 Add and subtract polynomials
J.3 Multiply polynomials
J.4 Divide polynomials using long division
J.5 Divide polynomials using synthetic division
J.6 Evaluate polynomials using synthetic division
J.7 Solve polynomial equations
J.8 Write a polynomial from its roots
J.9 Find the roots of factorised polynomials
J.10 Rational root theorem
J.11 Complex conjugate theorem
J.12 Conjugate root theorems
J.13 Match polynomials and graphs
J.14 Fundamental Theorem of Algebra
J.15 Pascal’s triangle
J.16 Pascal’s triangle and the Binomial Theorem
J.17 Binomial Theorem I
J.18 Binomial Theorem II
K.1 Identify the direction a parabola opens
K.2 Find the vertex of a parabola
K.3 Find the focus or directrix of a parabola
K.4 Find the axis of symmetry of a parabola
K.5 Write equations of parabolas in vertex form from graphs
K.6 Write equations of parabolas in vertex form using properties
K.7 Convert equations of parabolas from general to vertex form
K.8 Find properties of a parabola from equations in general form
K.9 Graph parabolas
L.1 Find the centre of a circle
L.2 Find the radius or diameter of a circle
L.3 Write equations of circles in standard form from graphs
L.4 Write equations of circles in standard form using properties
L.5 Convert equations of circles from general to standard form
L.6 Find properties of circles from equations in general form
L.7 Graph circles
M.1 Find the center, vertices, or co-vertices of an ellipse
M.2 Find the length of the major or minor axes of an ellipse
M.3 Find the foci of an ellipse
M.4 Write equations of ellipses in standard form from graphs
M.5 Write equations of ellipses in standard form using properties
M.6 Convert equations of ellipses from general to standard form
M.7 Find properties of ellipses from equations in general form
N.1 Find the center of a hyperbola
N.2 Find the vertices of a hyperbola
N.3 Find the length of the transverse or conjugate axes of a hyperbola
N.4 Find the equations for the asymptotes of a hyperbola
N.5 Find the foci of a hyperbola
N.6 Write equations of hyperbolas in standard form from graphs
N.7 Write equations of hyperbolas in standard form using properties
N.8 Convert equations of hyperbolas from general to standard form
N.9 Find properties of hyperbolas from equations in general form
O.1 Rational functions: asymptotes and excluded values
O.2 Evaluate rational expressions I
O.3 Evaluate rational expressions II
O.4 Simplify rational expressions
O.5 Multiply and divide rational expressions
O.6 Add and subtract rational expressions
O.7 Solve rational equations
P.1 Add and subtract functions
P.2 Multiply functions
P.3 Divide functions
P.4 Composition of linear functions: find a value
P.5 Composition of linear functions: find an equation
P.6 Composition of linear and quadratic functions: find a value
P.7 Composition of linear and quadratic functions: find an equation
Q.1 Convert between radians and degrees
Q.2 Radians and arc length
Q.3 Quadrants
Q.4 Graphs of angles
Q.5 Coterminal angles
Q.6 Reference angles
R.1 Pythagoras’ Theorem and its converse
R.2 Special right triangles
R.3 Trigonometric ratios: sin, cos and tan
R.4 Trigonometric ratios: csc, sec and cot
R.5 Trigonometric ratios in similar right triangles
R.6 Find trigonometric ratios using the unit circle
R.7 Sin, cos and tan of special angles
R.8 Csc, sec and cot of special angles
R.9 Find trigonometric functions using a calculator
R.10 Inverses of sin, cos and tan
R.11 Inverses of csc, sec and cot
R.12 Solve trigonometric equations I
R.13 Solve trigonometric equations II
R.14 Trigonometric ratios: find a side length
R.15 Trigonometric ratios: find an angle measure
R.16 Solve a right triangle
R.17 Law of Sines
R.18 Law of Cosines
R.19 Solve a triangle
R.20 Area of a triangle: sine formula
R.21 Area of a triangle: Law of Sines
S.1 Find properties of sine functions
S.2 Write equations of sine functions from graphs
S.3 Write equations of sine functions using properties
S.4 Graph sine functions
S.5 Find properties of cosine functions
S.6 Write equations of cosine functions from graphs
S.7 Write equations of cosine functions using properties
S.8 Graph cosine functions
S.9 Graph sine and cosine functions
T.1 Complementary angle identities
T.2 Symmetry and periodicity of trigonometric functions
T.3 Trigonometric identities I
T.4 Trigonometric identities II
U.1 Word problems: mixed review
U.2 Word problems with money
U.3 Consecutive integer problems
U.4 Rate of travel: word problems
U.5 Weighted averages: word problems
V.1 Identify hypotheses and conclusions
V.2 Counterexamples
V.3 Truth tables
V.4 Truth values
V.5 Conditionals
V.6 Negations
V.7 Converses, inverses and contrapositives
V.8 Biconditionals
W.1 Classify formulas and sequences
W.2 Find terms of an arithmetic sequence
W.3 Find terms of a geometric sequence
W.4 Find terms of a recursive sequence
W.5 Evaluate formulas for sequences
W.6 Write a formula for an arithmetic sequence
W.7 Write a formula for a geometric sequence
W.8 Write a formula for a recursive sequence
W.9 Sequences: mixed review
W.10 Introduction to sigma notation
W.11 Identify arithmetic and geometric series
W.12 Find the sum of a finite arithmetic or geometric series
W.13 Introduction to partial sums
W.14 Partial sums of arithmetic series
W.15 Partial sums of geometric series
W.16 Partial sums: mixed review
W.17 Convergent and divergent geometric series
W.18 Find the value of an infinite geometric series
W.19 Write a repeating decimal as a fraction
X.1 Find limits using graphs
X.2 Find one-sided limits using graphs
X.3 Determine if a limit exists
Y.1 Find limits using addition, subtraction and multiplication laws
Y.2 Find limits using the division law
Y.3 Find limits using power and root laws
Y.4 Find limits using limit laws
Y.5 Find limits of polynomials and rational functions
Y.6 Find limits involving factorisation and rationalisation
Z.1 Find limits at vertical asymptotes using graphs
Z.2 Determine end behaviour using graphs
Z.3 Determine end behaviour of polynomial and rational functions
AA.1 Find the limit at a vertical asymptote of a rational function I
AA.2 Find the limit at a vertical asymptote of a rational function II
BB.1 Identify graphs of continuous functions
BB.2 Determine continuity using graphs
BB.3 Determine one-sided continuity using graphs
BB.4 Find and analyse points of discontinuity using graphs
BB.5 Determine continuity on an interval using graphs
BB.6 Determine the continuity of a piecewise function at a point
BB.7 Make a piecewise function continuous
BB.8 Intermediate Value Theorem
CC.1 Average rate of change I
CC.2 Average rate of change II
CC.3 Find instantaneous rates of change
CC.4 Velocity as a rate of change
CC.5 Find values of derivatives using limits
CC.6 Find the slope of a tangent line using limits
CC.7 Find equations of tangent lines using limits
DD.1 Sum and difference rules
DD.2 Product rule
DD.3 Quotient rule
DD.4 Power rule I
DD.5 Power rule II
DD.6 Find derivatives of polynomials
DD.7 Find derivatives of rational functions
DD.8 Find derivatives of trigonometric functions I
DD.9 Find derivatives of trigonometric functions II
DD.10 Chain rule
DD.11 Find derivatives of radical functions
DD.12 Find derivatives using the product rule
DD.13 Find derivatives using the quotient rule I
DD.14 Find derivatives using the quotient rule II
DD.15 Find derivatives using the chain rule I
DD.16 Find derivatives using the chain rule II
EE.1 Introduction to probability
EE.2 Theoretical and experimental probability
EE.3 Compound events: find the number of outcomes
EE.4 Calculate probabilities of events
EE.5 Permutations
EE.6 Counting principle
EE.7 Permutation and combination notation
EE.8 Find probabilities using permutations and combinations
EE.9 Find probabilities using two-way frequency tables
EE.10 Identify independent events
EE.11 Probability of independent and dependent events
EE.12 Geometric probability
EE.13 Find conditional probabilities
EE.14 Independence and conditional probability
EE.15 Find conditional probabilities using two-way frequency tables
EE.16 Find probabilities using the addition rule
EE.17 Find probabilities using the normal distribution
FF.1 Mean, median, mode and range
FF.2 Quartiles
FF.3 Identify biased samples
FF.4 Mean absolute deviation
FF.5 Variance and standard deviation