Here is a list of all topics related to year XIII 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.
Functions
CONCEPTS AND EXAMPLES
Functions
INTERACTIVE QUIZZES
1.1 - Write the equation of a linear function
1.2 - Evaluate functions
1.3 - Add, subtract, multiply and divide functions
1.4 - Composition of functions
PRINTABLE WORKSHEETS
Write the equation of a linear function
Add, subtract, multiply and divide functions
Composition of functions
Families of functions
CONCEPTS AND EXAMPLES
Family of functions
INTERACTIVE QUIZZES
2.1 - Reflections of functions
2.2 - Dilations of functions
2.3 - Transformations of functions
2.4 - Function transformation rules
2.5 - Translations of functions
2.6 - Functions questions
PRINTABLE WORKSHEETS
Reflections of functions
Dilations of functions
Function transformation rules
Translations of functions
Polynomials
CONCEPTS AND EXAMPLES
Polynomials
INTERACTIVE QUIZZES
3.1 - Write a polynomial from its roots
3.2 - Find the roots of factorised polynomials
3.3 - Conjugate root theorems
3.4 - Fundamental theorem of algebra
3.5 - Factorize using a quadratic pattern
3.6 - Complex conjugate theorem
3.7 - Factoring quadratic polynomials cases
PRINTABLE WORKSHEETS
Write a polynomial from its roots
Complex conjugate theorem
Find the roots of factorised polynomials
Conjugate root theorems
Fundamental theorem of algebra
Factoring quadratic polynomials cases
Exponential and logarithmic functions
CONCEPTS AND EXAMPLES
Logarithm
INTERACTIVE QUIZZES
4.1 - Convert between exponential and logarithmic form
4.2 - Evaluate logarithms
4.3 - Product property of logarithms
4.4 - Quotient property of logarithms
4.5 - Power property of logarithms
4.6 - Evaluate logarithms using properties
4.7 - Solve logarithmic equations with one logarithm
4.8 - Exponential growth and decay: word problems
4.9 - Exercise on logarithms
4.10 - Logarithmic equations
PRINTABLE WORKSHEETS
Convert between exponential and logarithmic form
Evaluate logarithms
Product property of logarithms
Quotient property of logarithms
Power property of logarithms
Solve logarithmic equations with one logarithm
Exercise on logarithms
Logarithmic equations
Radical functions
CONCEPTS AND EXAMPLES
Radical equation
INTERACTIVE QUIZZES
5.1 - Solve radical equations
PRINTABLE WORKSHEETS
Solve radical equations
Roots and rational exponents
CONCEPTS AND EXAMPLES
Square roots
INTERACTIVE QUIZZES
6.1 - Roots of integers
6.2 - Roots of rational numbers
6.3 - Find roots using a calculator
6.4 - Evaluate rational exponents
6.5 - Nth roots
6.6 - Simplify radical expressions with variables
PRINTABLE WORKSHEETS
Roots of integers
Roots of rational numbers
Evaluate rational exponents
Simplify radical expressions with variables
Trigonometric functions and identities
CONCEPTS AND EXAMPLES
Complementary angles and trigonometric Identities
INTERACTIVE QUIZZES
7.1 - Complementary angle identities
PRINTABLE WORKSHEETS
Complementary angle identities
Sequences and series
CONCEPTS AND EXAMPLES
Sequence, recursive and explicit
INTERACTIVE QUIZZES
8.1 - Find terms of a sequence
8.2 - Identify a sequence as explicit or recursive
8.3 - Find terms of a recursive sequence
PRINTABLE WORKSHEETS
Find terms of a sequence
Identify a sequence as explicit or recursive
Find terms of a recursive sequence
Probability
CONCEPTS AND EXAMPLES
Sample space and probabilities
INTERACTIVE QUIZZES
9.1 - Introduction to probability
9.2 - Calculate probabilities of events
PRINTABLE WORKSHEETS
Introduction to probability
Calculate probabilities of events
Probability distributions
CONCEPTS AND EXAMPLES
Discrete and continuous data
INTERACTIVE QUIZZES
10.1 - Identify discrete and continuous random variables
PRINTABLE WORKSHEETS
Identify discrete and continuous random variables
Statistics
CONCEPTS AND EXAMPLES
Biased sample
INTERACTIVE QUIZZES
11.1 - Identify biased samples
PRINTABLE WORKSHEETS
Identify biased samples
Introduction to derivatives
CONCEPTS AND EXAMPLES
Average rate of change
INTERACTIVE QUIZZES
12.1 - Average rate of change I
12.2 - Average rate of change II
12.3 - Velocity as a rate of change
PRINTABLE WORKSHEETS
Velocity as a rate of change
Derivative rules
CONCEPTS AND EXAMPLES
Sum and difference rule
Product rule
Power rule
Inverse function rule
INTERACTIVE QUIZZES
13.1 - Sum and difference rules
13.2 - Product rule
13.3 - Power rule I
13.4 - Inverse function rule
13.5 - Power rule II
13.6 - Power rule problems
PRINTABLE WORKSHEETS
Sum and difference rules
Product rule
Inverse function rule
Derivative strategies
CONCEPTS AND EXAMPLES
Implicit and explicit
INTERACTIVE QUIZZES
14.1 - Find derivatives using implicit differentiation
14.2 - Find tangent lines using implicit differentiation
PRINTABLE WORKSHEETS
Find derivatives using implicit differentiation
Find tangent lines using implicit differentiation
Calculate derivatives
CONCEPTS AND EXAMPLES
Learn - Derivation of polynomial
Learn - Derivation of trigonometry
Learn - Derivation of exponential function
Learn - Derivation of logarithmic functions
Learn - Derivation using product rule
INTERACTIVE QUIZZES
15.1 - Find derivatives of polynomials
15.2 - Find derivatives of trigonometric functions I
15.3 - Find derivatives of trigonometric functions II
15.4 - Find derivatives of exponential functions
15.5 - Find derivatives of logarithmic functions
15.6 - Find derivatives using the product rule
15.7 - Find derivatives using the chain rule
PRINTABLE WORKSHEETS
Find derivatives of polynomials
Find derivatives of trigonometric functions I
Find derivatives of exponential functions
Find derivatives of logarithmic functions
Find derivatives using the product rule
Find derivatives using the chain rule
Rational functions
CONCEPTS AND EXAMPLES
Rational equation
Rationalizing the denominator
INTERACTIVE QUIZZES
16.1 - Rational functions: asymptotes and excluded values
16.2 - Solve rational equations
16.3 - Rationalizing the denominator
16.4 - Difference rule
PRINTABLE WORKSHEETS
Solve rational equations
Difference rule
Calculate higher derivatives
CONCEPTS AND EXAMPLES
Second derivation
INTERACTIVE QUIZZES
17.1 - Find higher derivatives of polynomials
17.2 - Find higher derivatives of rational and radical functions
17.3 - Find second derivatives of trigonometric, exponential and logarithmic functions
17.4 - Find higher derivatives using patterns
17.5 - Multiplication and divison of polynomials
PRINTABLE WORKSHEETS
Find higher derivatives of polynomials
Find higher derivatives of rational and radical functions
Find second derivatives of trigonometric, exponential and logarithmic functions
Find higher derivatives using patterns
Quadratic functions
CONCEPTS AND EXAMPLES
Quadratic equation
Quadratic inequalities
INTERACTIVE QUIZZES
18.1 - Solve a quadratic equation using square roots
18.2 - Solve a quadratic equation by factorizing
18.3 - Solve a quadratic equation by completing the square
18.4 - Solve a quadratic equation using the quadratic formula
18.6 - Quadratic inequalities
PRINTABLE WORKSHEETS
Solve a quadratic equation using square roots
Solve a quadratic equation by factorizing
Solve a quadratic equation by completing the square
Solve a quadratic equation using the quadratic formula
Prism
CONCEPTS AND EXAMPLES
Prism
INTERACTIVE QUIZZES
19.1 - Volume and area of prism
PRINTABLE WORKSHEETS
Volume and area of prism
Inverse functions
CONCEPTS AND EXAMPLES
Inverse functions
INTERACTIVE QUIZZES
20.1 - Identify inverse functions
20.2 - Find values using function graphs
20.3 - Complete a table for a function graph
20.4 - Find values of inverse functions from graphs
20.5 - Composition and inverse of functions
PRINTABLE WORKSHEETS
Complete a table for a function graph
Find values of inverse functions from graphs
Composition and inverse of functions
Domain and range
CONCEPTS AND EXAMPLES
Domain and range
INTERACTIVE QUIZZES
21.1 - Domain and range of radical functions
PRINTABLE WORKSHEETS
Domain and range of radical functions
Linear equations
CONCEPTS AND EXAMPLES
Linear equation
Method to solve linear equations
INTERACTIVE QUIZZES
22.1 - Linear equations
22.2 - System of equations
PRINTABLE WORKSHEETS
Linear equations
System of equations
Descartes' rule of signs
CONCEPTS AND EXAMPLES
Descartes' rule of signs
INTERACTIVE QUIZZES
23.1 - Descartes' rule of signs
PRINTABLE WORKSHEETS
Descartes' rule of signs
Logarithm law
CONCEPTS AND EXAMPLES
Logarithm law
INTERACTIVE QUIZZES
PRINTABLE WORKSHEETS
Division and rationalization of fraction
CONCEPTS AND EXAMPLES
Division and rationalization of fraction
INTERACTIVE QUIZZES
25.1 - Fractions of division
25.2 - Rationalizing the denominator
PRINTABLE WORKSHEETS
Fractions of division
Rationalizing the denominator
Sinusoidal functions
CONCEPTS AND EXAMPLES
Amplitude of sinusoidal functions
INTERACTIVE QUIZZES
26.1 - Symmetry and periodicity of trigonometric functions
26.2 - Find properties of sine functions
26.3 - Find properties of cosine functions
26.4 - Find trigonometric functions using a calculator
PRINTABLE WORKSHEETS
Symmetry and periodicity of trigonometric functions
Find properties of sine functions
Find properties of cosine functions
Find trigonometric functions using a calculator
Double and half identities
CONCEPTS AND EXAMPLES
Double and half identities
INTERACTIVE QUIZZES
27.1 - Half and double identities
PRINTABLE WORKSHEETS
Half and double identities
Partial sums
CONCEPTS AND EXAMPLES
Partial sum of series
INTERACTIVE QUIZZES
28.1 - Introduction to partial sums
28.2 - Partial sums of arithmetic series
28.3 - Partial sums of geometric series
28.4 - Partial sums: mixed review
PRINTABLE WORKSHEETS
Introduction to partial sums
Partial sums of arithmetic series
Partial sums of geometric series
Partial sums: mixed review
Combinations and permutations
CONCEPTS AND EXAMPLES
Combinations and permutations
INTERACTIVE QUIZZES
29.1 - Combinations and permutations
29.2 - Find probabilities using combinations and permutations
PRINTABLE WORKSHEETS
Combinations and permutations
Find probabilities using combinations and permutations
Addition for probability
CONCEPTS AND EXAMPLES
Addition for probability
INTERACTIVE QUIZZES
30.1 - Independence and conditional probability
30.2 - Find probabilities using the addition rule
30.3 - Probabilities of sum and difference rule
PRINTABLE WORKSHEETS
Independence and conditional probability
Find probabilities using the addition rule
Probabilities of sum and difference rule
Power rule and derivation
CONCEPTS AND EXAMPLES
Power rule and derivation
Derivation by limit
INTERACTIVE QUIZZES
31.1 - Power rule variables
31.2 - Derivatives using limits
PRINTABLE WORKSHEETS
Power rule variables
Derivatives using limits
Variance and standard deviation
CONCEPTS AND EXAMPLES
Variance and standard deviation
INTERACTIVE QUIZZES
32.1 - Variance and standard deviation
PRINTABLE WORKSHEETS
Variance and standard deviation
Outlier
CONCEPTS AND EXAMPLES
Outlier
INTERACTIVE QUIZZES
33.1 - Identify an outlier
33.2 - Identify an outlier and describe the effect of removing it
PRINTABLE WORKSHEETS
Identify an outlier
Identify an outlier and describe the effect of removing it
