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LMS Course | LMS Course 7548075eac70591e6729179ed0b9696e

Year 12

MathsEnglish

Here is a list of all topics related to year XII maths. The topics are organised into categories. To start your quiz, just click on any topic. Select your topic or question which you want to attempt first and Studyif will track your score.

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Equations

  • CONCEPTS AND EXAMPLES
  • Equations
  • INTERACTIVE QUIZZES
  • 1.1 - Evaluate linear equations
  • 1.2 - Evaluate linear equations: word problems
  • 1.3 - Evaluate absolute value equations
  • 1.4 - Find the value of the slop
  • 1.5 - Linear equation word problems
  • PRINTABLE WORKSHEETS
  • Evaluate linear equations
  • Evaluate absolute value equations
  • Find the value of the slop
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Inequalities

  • CONCEPTS AND EXAMPLES
  • Inequalities
  • INTERACTIVE QUIZZES
  • 2.1 - Inequalities from graphs
  • 2.2 - Linear inequality: word problems
  • 2.3 - Linear inequalities
  • 2.4 - Absolute value inequalities
  • 2.5 - Quadratic functions
  • 2.6 - Inequalities practical problems
  • 2.7 - Review on Inequalities
  • PRINTABLE WORKSHEETS
  • Inequalities from graphs
  • Linear inequalities
  • Absolute value inequalities
  • Quadratic functions
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Functions

  • CONCEPTS AND EXAMPLES
  • Function and graph
  • INTERACTIVE QUIZZES
  • 3.1 - Identifying functions
  • 3.2 - Evaluating functions
  • 3.3 - Find values using function graphs
  • 3.4 - Complete a table for a function graph
  • PRINTABLE WORKSHEETS
  • Evaluating functions
  • Find values using function graphs
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Simultaneous equations

  • CONCEPTS AND EXAMPLES
  • Simultaneous equations and non-linear
  • INTERACTIVE QUIZZES
  • 4.1 - Is (x, y) a solution to the simultaneous equations?
  • 4.2 - Solving non-linear simultaneous equations
  • PRINTABLE WORKSHEETS
  • Is (x, y) a solution to the simultaneous equations?
  • Solving non-linear simultaneous equations
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Factorising

  • CONCEPTS AND EXAMPLES
  • Factorize of monomial and polynomials
  • INTERACTIVE QUIZZES
  • 5.1 - Factorizing out a monomial
  • 5.2 - Factorizing polynomials
  • 5.3 - Evaluating polynomials
  • PRINTABLE WORKSHEETS
  • Factorizing out a monomial
  • Factorizing polynomials
  • Evaluating polynomials
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Polynomials

  • CONCEPTS AND EXAMPLES
  • Polynomial
  • INTERACTIVE QUIZZES
  • 6.1 - Polynomial vocabulary
  • 6.2 - Add and subtract polynomials
  • 6.3 - Multiply polynomials
  • 6.4 - Write a polynomial from its roots
  • 6.5 - Find the roots of factorized polynomials
  • PRINTABLE WORKSHEETS
  • Polynomial vocabulary
  • Multiply polynomials
  • Find the roots of factorized polynomials
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Radical functions and expressions

  • CONCEPTS AND EXAMPLES
  • Roots of integers and radical expression
  • INTERACTIVE QUIZZES
  • 7.1 - Roots of integers
  • 7.2 - Find roots using a calculator
  • 7.3 - Nth roots
  • 7.4 - Simplify radical expressions with variables
  • 7.5 - Solve radical equations
  • 7.6 - Add and subtract radical expressions
  • 7.7 - Simplify radical expressions using the distributive property
  • PRINTABLE WORKSHEETS
  • Roots of integers
  • Nth roots
  • Add and subtract radical expressions
  • Simplify radical expressions using the distributive property
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Sequences and series

  • CONCEPTS AND EXAMPLES
  • Recursive and geometric sequence
  • INTERACTIVE QUIZZES
  • 8.1 - Find terms of a geometric sequence
  • 8.2 - Partial sums of geometric series
  • 8.3 - Find terms of a recursive sequence
  • PRINTABLE WORKSHEETS
  • Find terms of a geometric sequence
  • Partial sums of geometric series
  • Find terms of a recursive sequence
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Probability

  • CONCEPTS AND EXAMPLES
  • Factorials
  • INTERACTIVE QUIZZES
  • 9.1 - Introduction to probability
  • 9.2 - Theoretical and experimental probability
  • 9.3 - Calculate probabilities of events
  • 9.4 - Permutations
  • 9.5 - Counting principle
  • 9.6 - Probability questions review
  • 9.7 - Correct or incorrect three digits
  • PRINTABLE WORKSHEETS
  • Calculate probabilities of events
  • Permutations
  • Counting principle
  • Correct or incorrect three digits
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Statistics

  • CONCEPTS AND EXAMPLES
  • Mean, mode, range and median
  • INTERACTIVE QUIZZES
  • 10.1 - Mean, median, mode and range
  • 10.2 - Mean absolute deviation
  • 10.3 - mean, median and mode review
  • PRINTABLE WORKSHEETS
  • Mean, median, mode and range
  • Mean absolute deviation
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Introduction to derivatives

  • CONCEPTS AND EXAMPLES
  • Average rate of change
  • INTERACTIVE QUIZZES
  • 11.1 - Average rate of change I
  • 11.2 - Average rate of change II
  • 11.3 - Velocity as a rate of change
  • PRINTABLE WORKSHEETS
  • Velocity as a rate of change
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Exponential functions

  • CONCEPTS AND EXAMPLES
  • Exponential function
  • INTERACTIVE QUIZZES
  • 12.1 - Evaluate exponential functions
  • 12.2 - Solve exponential equations by factorizing
  • 12.3 - Solve exponential equations using common logarithms.
  • 12.4 - Exponential growth and decay: word problems.
  • PRINTABLE WORKSHEETS
  • Evaluate exponential functions
  • Solve exponential equations by factorizing
  • Solve exponential equations using common logarithms.
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Parabolas

  • CONCEPTS AND EXAMPLES
  • Parabola
  • INTERACTIVE QUIZZES
  • 13.1 - Identify the direction of parabola
  • 13.2 - Find the vertex of a parabola
  • 13.3 - Find the axis of symmetry of a parabola
  • 13.4 - Find properties of a parabola from equations in general form
  • 13.5 - Word problems
  • 13.6 - Parabola advance level
  • PRINTABLE WORKSHEETS
  • Find the vertex of a parabola
  • Find the axis of symmetry of a parabola
  • Find properties of a parabola from equations in general form
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Function operations

  • CONCEPTS AND EXAMPLES
  • Function
  • INTERACTIVE QUIZZES
  • 14.1 - Add and subtract functions
  • 14.2 - Multiply functions
  • 14.3 - Divide functions
  • 14.4 - Composition of linear functions: find a value
  • 14.5 - Composition of linear functions: find an equation
  • 14.6 - Composition of linear and quadratic functions: find a value
  • PRINTABLE WORKSHEETS
  • Add and subtract functions
  • Composition of linear functions: find an equation
  • Composition of linear and quadratic functions: find a value
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Logarithms

  • CONCEPTS AND EXAMPLES
  • Logarithm
  • INTERACTIVE QUIZZES
  • 15.1 - Convert between exponential and logarithmic form: rational bases
  • 15.2 - Evaluate logarithms
  • 15.3 - Product property of logarithms
  • 15.4 - Power property of logarithms
  • 15.5 - Quotient property of logarithms
  • 15.6 - Properties of logarithms: mixed review
  • 15.7 - Evaluate logarithms: mixed review
  • PRINTABLE WORKSHEETS
  • Convert between exponential and logarithmic form rational bases
  • Product property of logarithms
  • Power property of logarithms
  • Quotient property of logarithms
  • Properties of logarithms: mixed review
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Trigonometry

  • CONCEPTS AND EXAMPLES
  • Inverse trigonometric functions
  • INTERACTIVE QUIZZES
  • 16.1 - Inverses of sin, cos and tan
  • 16.2 - Inverses of csc, sec and cot
  • 16.3 - Find trigonometric functions using a calculator
  • 16.4 - Solve a triangle
  • 16.5 - Trigonometric ratios: sin, cos and tan
  • 16.6 - Trigonometric ratios: csc, sec and cot.
  • PRINTABLE WORKSHEETS
  • Inverses of sin, cos and tan
  • Find trigonometric functions using a calculator
  • Solve a triangle
  • Trigonometric ratios: sin, cos and tan
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Trigonometric functions and identities

  • CONCEPTS AND EXAMPLES
  • Trigonometric functions
  • INTERACTIVE QUIZZES
  • 17.1 - Find properties of sine functions
  • 17.2 - Find properties of cosine functions
  • 17.3 - Complementary angle identities
  • 17.4 - Symmetry and periodicity of trigonometric functions
  • 17.5 - Trigonometric problems
  • 17.6 - Half, double, quotient identities
  • PRINTABLE WORKSHEETS
  • Find properties of cosine functions
  • Complementary angle identities
  • Symmetry and periodicity of trigonometric functions
  • Trigonometric problems
  • Half, double, quotient identities
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Circles

  • CONCEPTS AND EXAMPLES
  • Central and inscribed angle
  • Area sector of a circle
  • INTERACTIVE QUIZZES
  • 18.1 - Central angles
  • 18.2 - Inscribed angles
  • 18.3 - Angles in inscribed quadrilaterals
  • 18.4 - Angles in inscribed right triangles
  • 18.5 - Find the center of a circle
  • 18.6 - Find the radius or diameter of a circle
  • 18.7 - Convert equations of circles from general to standard form
  • 18.8 - Find properties of circles from equations in general form
  • 18.9 - Area of a circular sector
  • 18.10 - Circumference and diameter of circle
  • PRINTABLE WORKSHEETS
  • Inscribed angles
  • Angles in inscribed quadrilaterals
  • Find the radius or diameter of a circle
  • Convert equations of circles from general to standard form
  • Circumference and diameter of circle
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Continuity

  • CONCEPTS AND EXAMPLES
  • Continuity
  • INTERACTIVE QUIZZES
  • 19.1 - Identify graphs of continuous functions
  • 19.2 - Determine continuity using graphs
  • 19.3 - Determine continuity on an interval using graphs
  • 19.4 - Find and analyses points of discontinuity using graphs
  • 19.5 - Determine one-sided continuity using graphs
  • 19.6 - Continuous function
  • PRINTABLE WORKSHEETS
  • Identify graphs of continuous functions
  • Determine continuity using graphs
  • Determine continuity on an interval using graphs
  • Find and analyses points of discontinuity using graphs
  • Continuous function
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Linear functions and domain

  • CONCEPTS AND EXAMPLES
  • Linear functions and domain
  • INTERACTIVE QUIZZES
  • 20.1 - Finding the gradient of a linear function
  • 20.2 - Write linear equations in point-gradient form
  • 20.3 - Write linear equations in standard form
  • 20.4 - Domain and range
  • PRINTABLE WORKSHEETS
  • Finding the gradient of a linear function
  • Write linear equations in point-gradient form
  • Domain and range
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Types of simultaneous equations

  • CONCEPTS AND EXAMPLES
  • Types of simultaneous equations
  • INTERACTIVE QUIZZES
  • 21.1 - Evaluating simultaneous equations using substitution: word problems
  • 21.2 - Evaluating simultaneous equations using elimination
  • 21.3 - Evaluating simultaneous equations using any method
  • 21.4 - Evaluating simultaneous equations using substitution
  • 21.5 - Word problems
  • 21.6 - Simultaneous equations revision
  • PRINTABLE WORKSHEETS
  • Evaluating simultaneous equations using elimination
  • Evaluating simultaneous equations using any method
  • Evaluating simultaneous equations using substitution
  • Simultaneous equations revision
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Factorization of quadratic equations

  • CONCEPTS AND EXAMPLES
  • Factorization of quadratic equations
  • INTERACTIVE QUIZZES
  • 22.1 - Factorizing quadratics
  • 22.2 - Factories using a quadratic pattern
  • 22.3 - Factorizing by grouping
  • 22.4 - Factorizing sums and differences of cubes
  • 22.5 - Find the missing values
  • PRINTABLE WORKSHEETS
  • Factorizing quadratics
  • Factories using a quadratic pattern
  • Factorizing sums and differences of cubes
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Fundamental theorem of algebra and Descartes' rule of signs

  • CONCEPTS AND EXAMPLES
  • Fundamental theorem of algebra and Descartes’ rule of signs
  • INTERACTIVE QUIZZES
  • 23.1 - Fundamental theorem of algebra
  • 23.2 - Descartes' rule of signs
  • PRINTABLE WORKSHEETS
  • Fundamental theorem of algebra
  • Descartes' rule of signs
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Arithmetic sequence

  • CONCEPTS AND EXAMPLES
  • Arithmetic sequence
  • INTERACTIVE QUIZZES
  • 24.1 - Find terms of an arithmetic sequence
  • 24.2 - Evaluate formulas for sequences
  • 24.3 - Write a formula for an arithmetic sequence
  • 24.4 - Introduction to partial sums
  • 24.5 - Partial sums of arithmetic series
  • PRINTABLE WORKSHEETS
  • Write a formula for an arithmetic sequence
  • Partial sums of arithmetic series
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Factorials

  • CONCEPTS AND EXAMPLES
  • Probability
  • INTERACTIVE QUIZZES
  • 25.1 - Factorials
  • PRINTABLE WORKSHEETS
  • Factorials
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Quartiles

  • CONCEPTS AND EXAMPLES
  • Quartiles
  • INTERACTIVE QUIZZES
  • 26.1 - Quartiles
  • 26.2 - Identify biased samples
  • 26.3 - Variance and standard deviation
  • 26.4 - Quartiles practice questions
  • PRINTABLE WORKSHEETS
  • Identify biased samples
  • Quartiles practice questions
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Power rule

  • CONCEPTS AND EXAMPLES
  • Power rule
  • INTERACTIVE QUIZZES
  • 27.1 - Solving power rule
  • 27.2 - Power rule I
  • 27.3 - Power rule II
  • PRINTABLE WORKSHEETS
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Polynomials

  • CONCEPTS AND EXAMPLES
  • Polynomial
  • INTERACTIVE QUIZZES
  • 28.1 - Find derivatives of polynomials
  • 28.2 - Find second derivatives of polynomials
  • 28.3 - Substitution and elimination method
  • PRINTABLE WORKSHEETS
  • Find derivatives of polynomials
  • Find second derivatives of polynomials
  • Substitution and elimination method
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Logarithmic functions

  • CONCEPTS AND EXAMPLES
  • Logarithmic functions
  • INTERACTIVE QUIZZES
  • 29.1 - Solve logarithmic equations I
  • 29.2 - Solve logarithmic equations II
  • 29.3 - Advance logarithm questions
  • 29.4 - Laws of logarithm
  • PRINTABLE WORKSHEETS
  • Solve logarithmic equations II
  • Advance logarithm questions
  • Laws of logarithm
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Inverse

  • CONCEPTS AND EXAMPLES
  • Inverse
  • INTERACTIVE QUIZZES
  • 30.1 - Identify inverse functions
  • 30.2 - Inverse and composition functions
  • PRINTABLE WORKSHEETS
  • Identify inverse functions
  • Inverse and composition functions
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Pythagoras' theorem

  • PRINTABLE WORKSHEETS
  • Pythagoras theorem
  • INTERACTIVE QUIZZES
  • 31.1 - Pythagoras' theorem and its converse
  • 31.2 - Pythagoras theorem problems
  • PRINTABLE WORKSHEETS
  • Pythagoras' theorem and its converse
  • Pythagoras theorem problems