Get Higher 2 Maths Help

Master calculus, statistics, and vectors with AI photo recognition and real A-level exam prep

Try Our Higher 2 Maths Practice Test

Snap Your Homework

Take a photo of H2 maths problems and get the right lessons fast

Find Your Weak Spots

See exactly which calculus and statistics concepts need work before A-levels

Practice Until Perfect

Get unlimited problems that match your level and help you improve

Start Now

Higher 2 Maths Topics

Help

1. Introduction to Relations and Functions

1.1

Relationship between two variables

1.2

Understand relations between x- and y-intercepts

1.3

Domain and range of a function

1.4

Identifying functions

1.5

Function notation

2. Functions

2.1

Function notation

2.2

Operations with functions

2.3

Adding functions

2.4

Subtracting functions

2.5

Multiplying functions

2.6

Dividing functions

2.7

Composite functions

2.8

Inequalities of combined functions

2.9

Inverse functions

2.10

One to one functions

2.11

Difference quotient: applications of functions

3. Transformations of Functions

3.1

Transformations of functions: Horizontal translations

3.2

Transformations of functions: Vertical translations

3.3

Reflection across the y-axis: y = f(-x)

3.4

Reflection across the x-axis: y = -f(x)

3.5

Transformations of functions: Horizontal stretches

3.6

Transformations of functions: Vertical stretches

3.7

Combining transformations of functions

3.8

Even and odd functions

4. Quadratic Functions

4.1

Characteristics of quadratic functions

4.2

Transformations of quadratic functions

4.3

Quadratic function in general form: y = ax^2 + bx + c

4.4

Quadratic function in vertex form: y = a(x-p)^2 + q

4.5

Completing the square

4.6

Converting from general to vertex form by completing the square

4.7

Shortcut: Vertex formula

4.8

Graphing parabolas for given quadratic functions

4.9

Finding the quadratic functions for given parabolas

4.10

Applications of quadratic functions

5. Quadratic Equations and Inequalities

5.1

Solving quadratic equations by factorising

5.2

Solving quadratic equations by completing the square

5.3

Using quadratic formula to solve quadratic equations

5.4

Nature of roots of quadratic equations: The discriminant

5.5

Applications of quadratic equations

5.6

Solving quadratic inequalities

6. Polynomial Functions

6.1

What is a polynomial function?

6.2

Polynomial long division

6.3

Polynomial synthetic division

6.4

Remainder theorem

6.5

Factor theorem

6.6

Rational zero theorem

6.7

Characteristics of polynomial graphs

6.8

Multiplicities of polynomials

6.9

Imaginary zeros of polynomials

6.10

Determining the equation of a polynomial function

6.11

Applications of polynomial functions

6.12

Solving polynomial inequalities

6.13

Fundamental theorem of algebra

6.14

Descartes' rule of signs

7. Rational Functions

7.1

What is a rational function?

7.2

Point of discontinuity

7.3

Vertical asymptote

7.4

Horizontal asymptote

7.5

Slant asymptote

7.6

Graphs of rational functions

7.7

Solving equations with algebraic fractions

7.8

Solving rational inequalities

8. Solving Simultaneous Equations

8.1

Determining number of solutions to linear equations

8.2

Solving simultaneous equations by graphing

8.3

Solving simultaneous equations by elimination

8.4

Solving simultaneous equations by substitution

8.5

8.6

Unknown number related questions in linear equations

8.7

Distance and time related questions in linear equations

8.8

Rectangular shape related questions in linear equations

9. Inequalities in two variables

9.1

Graphing linear inequalities in two variables

9.2

Graphing simultaneous linear inequalities

9.3

Graphing quadratic inequalities in two variables

9.4

Graphing simultaneous quadratic inequalities

9.5

Applications of inequalities

9.6

What is linear programming?

9.7

Linear programming word problems

10. Introduction to Matrices

10.1

Notation of matrices

10.2

Adding and subtracting matrices

10.3

Scalar multiplication

10.4

Matrix multiplication

10.5

The three types of matrix row operations

10.6

Representing a linear system as a matrix

10.7

Solving a linear system with matrices using Gaussian elimination

11. Determinants and Inverses of Matrices

11.1

The determinant of a 2 x 2 matrix

11.2

The determinant of a 3 x 3 matrix (General & Shortcut Method)

11.3

The inverse of a 2 x 2 matrix

11.4

The inverse of 3 x 3 matrices with matrix row operations

11.5

The inverse of 3 x 3 matrix with determinants and adjugate

11.6

2 x 2 invertible matrix

11.7

Solving linear systems using Cramer's Rule

11.8

Solving linear systems using 2 x 2 inverse matrices

12. Conics

12.1

12.2

12.3

12.4

13. Imaginary and Complex Numbers

13.1

Introduction to imaginary numbers

13.2

Complex numbers and complex planes

13.3

Adding and subtracting complex numbers

13.4

Complex conjugates

13.5

Multiplying and dividing complex numbers

13.6

Distance and midpoint of complex numbers

13.7

Angle and absolute value of complex numbers

13.8

Polar form of complex numbers

13.9

Operations on complex numbers in polar form

14. Vectors

14.1

Introduction to vectors

14.2

Magnitude of a vector

14.3

Direction angle of a vector

14.4

Scalar multiplication

14.5

Equivalent vectors

14.6

Adding and subtracting vectors in component form

14.7

Operations on vectors in magnitude and direction form

14.8

Unit Vector

14.9

Word problems on vectors

15. Sequences and Series

15.1

15.2

15.3

15.4

15.5

Infinite geometric series

15.6

Sigma notation

15.7

Arithmetic mean vs. Geometric mean

16. Limits

16.1

Finding limits from graphs

16.2

Continuity

16.3

Finding limits algebraically - direct substitution

16.4

Finding limits algebraically - when direct substitution is not possible

16.5

Infinite limits - vertical asymptotes

16.6

Limits at infinity - horizontal asymptotes

16.7

Intermediate value theorem

16.8

Squeeze theorem

17. Derivatives

17.1

Definition of derivative

17.2

Power rule

17.3

Gradient and equation of tangent line

17.4

Chain rule

17.5

Derivative of trigonometric functions

17.6

Derivative of exponential functions

17.7

Product rule

17.8

Quotient rule

17.9

Implicit differentiation

17.10

Derivative of inverse trigonometric functions

17.11

Derivative of logarithmic functions

17.12

Higher order derivatives

18. Permutations and Combinations

18.1

Fundamental counting principle

18.2

Factorial notation

18.3

Path counting problems

18.4

Permutation vs. Combination

18.5

Permutations

18.6

Combinations

18.7

Problems involving both permutations and combinations

18.8

Pascal's triangle

18.9

Binomial theorem

19. Probability

19.1

Addition rule for "OR"

19.2

Multiplication rule for "AND"

19.3

Conditional probability

19.4

Probability with permutations and combinations

19.5

Law of total probability

19.6

Bayes' rule

19.7

Probability with Venn diagrams

20. Data Interpretation

20.1

Center of a data set: mean, median, mode

20.2

Spread of a data set - standard deviation & variance

20.3

Measures of relative standing - z-score, quartiles, percentiles

20.4

Bivariate, scatter plots and correlation

20.5

Regression analysis

20.6

Equation of the best fit line

21. Discrete Probabilities

21.1

Probability distribution - histogram, mean, variance & standard deviation

21.2

Binomial distribution

21.3

Mean and standard deviation of binomial distribution

21.4

Poisson distribution

21.5

Geometric distribution

21.6

Negative binomial distribution

21.7

Hypergeometric distribution

21.8

Properties of expectation

22. Normal Distribution and Z-score

22.1

Introduction to normal distribution

22.2

Normal distribution and continuous random variable

22.3

Z-scores and random continuous variables

22.4

Sampling distributions

22.5

Central limit theorem

22.6

Rare event rule

Our approach aligns with the evidence

+13-25%

Exam Scores

Better Recall

25%

Less Anxiety

Start Practice

Try Us for Free and Start Doing Better Today

Now on iOS and Android!

Carry Your Math Tutor Everywhere

Sitemap

Courses

Search

More