# A-Level Maths Help & Practice!

Get an A with our complete A level Maths help. Whether it's for Edexcel (Pearson), AQA, OCR or WJEC, our A level maths tutors got you all covered!

Aligning with all exam boards' A level maths specifications, our comprehensive help includes all materials you need for the exam, such as Derivatives, Integration, Factorisation, Solving simultaneous equations, Trigonometry, Vectors, Circle theorems, and more. Learn the concepts with our online video tutorials that show you step-by-step solutions to even the hardest a level maths questions. Then, reinforce your understanding with tons of a level maths practice.

All our lessons are taught by experienced A-level Maths tutors. Let's finish your homework in no time, and ACE that exam.

## All You Need in One PlaceEverything you need for better marks in primary, GCSE, and A-level classes. | ## Learn with ConfidenceWe’ve mastered the UK’s national curriculum so you can study with confidence. | ## Instant and Unlimited Help24/7 access to the best tips, walkthroughs, and practice questions. |

#### Make math click 💡 and get better grades! Join for Free

##### 1Surds

##### 2Laws of Indices

##### 3Linear Functions

- 3.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- 3.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
- 3.3Gradient equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- 3.4Gradient intercept form: y = mx + b
- 3.5General form: Ax + By + C = 0
- 3.6Gradient-point form: $y - y_1 = m (x - x_1)$
- 3.7Rate of change
- 3.8Graphing linear functions using table of values
- 3.9Graphing linear functions using x- and y-intercepts
- 3.10Graphing from slope-intercept form y=mx+b
- 3.11Graphing linear functions using a single point and gradient
- 3.12Word problems of graphing linear functions
- 3.13Parallel and perpendicular lines in linear functions
- 3.14Applications of linear relations

- 3.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
##### 4Factorisation

##### 5Quadratic Functions

- 5.1Introduction to quadratic functions
- 5.2Transformations of quadratic functions
- 5.3Quadratic function in general form:
*y = ax^2 + bx + c* - 5.4Quadratic function in vertex form:
*y = a(x-p)^2 + q* - 5.5Completing the square
- 5.6Converting from general to vertex form by completing the square
- 5.7Shortcut: Vertex formula
- 5.8Graphing quadratic functions: General form VS. Vertex form
- 5.9Finding the quadratic functions for given parabolas
- 5.10Applications of quadratic functions

- 5.1Introduction to quadratic functions
##### 6Quadratic Equations

##### 7Inequalities

##### 8Simultaneous Equations

##### 9Operations with Algebraic Fractions

- 9.1Simplifying algebraic fractions and restrictions
- 9.2Adding and subtracting algebraic fractions
- 9.3Multiplying algebraic fractions
- 9.4Dividing algebraic fractions
- 9.5Solving algebraic fraction equations
- 9.6Applications of algebraic fraction equations
- 9.7Simplifying complex fractions
- 9.8Partial fraction decomposition

- 9.1Simplifying algebraic fractions and restrictions
##### 10Absolute Value Functions

##### 11Algebraic Division

##### 12Functions

##### 13Transformations of Functions

- 13.1Transformations of functions: Horizontal translations
- 13.2Transformations of functions: Vertical translations
- 13.3Reflection across the y-axis:
*y = f(-x)* - 13.4Reflection across the x-axis:
*y = -f(x)* - 13.5Transformations of functions: Horizontal stretches
- 13.6Transformations of functions: Vertical stretches
- 13.7Combining transformations of functions

- 13.1Transformations of functions: Horizontal translations
##### 14Reciprocal Functions

##### 15Rational Functions

##### 16Exponentials Functions

##### 17Logarithms

- 17.1What is a logarithm?
- 17.2Converting from logarithmic form to exponential form
- 17.3Evaluating logarithms without a calculator
- 17.4Common logarithms
- 17.5Natural log: ln
- 17.6Evaluating logarithms using change-of-base formula
- 17.7Converting from exponential form to logarithmic form
- 17.8Solving exponential equations with logarithms
- 17.9Product rule of logarithms
- 17.10Quotient rule of logarithms
- 17.11Combining product rule and quotient rule in logarithms
- 17.12Evaluating logarithms using logarithm rules
- 17.13Solving logarithmic equations
- 17.14Graphing logarithmic functions
- 17.15Finding a logarithmic function given its graph

- 17.1What is a logarithm?
##### 18Applications of Exponential and Logarithmic Functions

- 18.1Exponential growth and decay by a factor
- 18.2Exponential decay: Half-life
- 18.3Exponential growth and decay by percentage
- 18.4Finance: Compound interest
- 18.5Continuous growth and decay
- 18.6Logarithmic scale: Richter scale (earthquake)
- 18.7Logarithmic scale: pH scale
- 18.8Logarithmic scale: dB scale
- 18.9Finance: Future value and present value

- 18.1Exponential growth and decay by a factor
##### 19Trigonometry

- 19.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
- 19.2Use cosine ratio to calculate angles and sides (Cos = $\frac{a}{h}$ )
- 19.3Use tangent ratio to calculate angles and sides (Tan = $\frac{o}{a}$ )
- 19.4Combination of SohCahToa questions
- 19.5Solving expressions using 45-45-90 special right triangles
- 19.6Solving expressions using 30-60-90 special right triangles
- 19.7Word problems relating ladder in trigonometry
- 19.8Word problems relating guy wire in trigonometry
- 19.9Other word problems relating angles in trigonometry

- 19.1Use sine ratio to calculate angles and sides (Sin = $\frac{o}{h}$ )
##### 20Trigonometric Ratios and Angle Measure

##### 21Sine Rule and Cosine Rule

##### 22Graphing Trigonometric Functions

##### 23Applications of Trigonometric Functions

##### 24Trigonometric Identities

##### 25Solving Trigonometric Equations

- 25.1Solving first degree trigonometric equations
- 25.2Determining non-permissible values for trig expressions
- 25.3Solving second degree trigonometric equations
- 25.4Solving trigonometric equations involving multiple angles
- 25.5Solving trigonometric equations using pythagorean identities
- 25.6Solving trigonometric equations using sum and difference identities
- 25.7Solving trigonometric equations using double-angle identities

- 25.1Solving first degree trigonometric equations
##### 26Circle Theorems

##### 27Sequences and Series

##### 28Binomial Expansion

##### 29Vectors

##### 30Differentiation

- 30.1Power rule
- 30.2Gradient and equation of tangent line
- 30.3Chain rule
- 30.4Derivative of trigonometric functions
- 30.5Derivative of exponential functions
- 30.6Product rule
- 30.7Quotient rule
- 30.8Derivative of inverse trigonometric functions
- 30.9Derivative of logarithmic functions
- 30.10Higher order derivatives
- 30.11Critical number & maximum and minimum values
- 30.12Curve sketching

- 30.1Power rule
##### 31Integration

- 31.1Antiderivatives
- 31.2Fundamental theorem of calculus
- 31.3Definite integral
- 31.4Numerical integration
- 31.5U-Substitution
- 31.6Integration by parts
- 31.7Trigonometric substitution
- 31.8Integration of rational functions by partial fractions
- 31.9Volumes of solids of revolution - Disc method
- 31.10Volumes of solids of revolution - Shell method

- 31.1Antiderivatives
##### 32Parametric Equations

##### 33Differential Equations

##### 34Statistics

##### 35Data and Graphs

##### 36Probability

##### 37Discrete Probabilities

##### 38Normal Distribution and Confidence Intervals

- 38.1Introduction to normal distribution
- 38.2Normal distribution and continuous random variable
- 38.3Z-scores and random continuous variables
- 38.4Sampling distributions
- 38.5Central limit theorem
- 38.6Confidence levels and critical values
- 38.7Confidence intervals to estimate population mean
- 38.8Student's t-distribution

- 38.1Introduction to normal distribution
##### 39Correlation and Regression

##### 40Hypothesis Testing

##### 41Scalars, Vectors, and Motion

##### 42Kinematics

##### 43Forces

##### 44Momentum

##### 45Equilibrium