Home

Search

Subjects

All Subjects

Maths

KS5 Year 12

Maths

KS5 Year 12

All Year Groups KS2 Year 3 KS2 Year 4 KS2 Year 5 KS2 Year 6 KS3 Year 7 KS3 Year 8 KS3 Year 9 KS4 Year 10 KS4 Year 11 KS5 Year 12 KS5 Year 13

All Subjects

Maths

English language

Biology

Physics

Chemistry

139 Lessons

834 Exercises

Forces and motion

Force diagrams

Theory

Exercises

Learning Goals

Forces as vectors

Forces as vectors

Theory

Exercises

Learning Goals

Forces and acceleration

Forces and acceleration

Theory

Exercises

Learning Goals

Motion in two dimensions

Motion in two dimensions

Theory

Exercises

Learning Goals

Connected particles

Connected particles

Theory

Exercises

Learning Goals

Pulleys

Theory

Exercises

Learning Goals

Study Tips

Boost your skills with our essential study tips!

Tips for studying Maths

Variable acceleration

Functions of time: Displacement, velocity, acceleration

Functions of time: Displacement, velocity, acceleration

Theory

Exercises

Learning Goals

Using differentiation to find velocity and acceleration

Using differentiation to find velocity and acceleration

Theory

Exercises

Learning Goals

Maxima and minima problems

Maxima and minima problems

Theory

Exercises

Learning Goals

Using integration to find velocity and displacement

Using integration to find velocity and displacement

Theory

Exercises

Learning Goals

Constant acceleration formulae

Constant acceleration formulae

Theory

Exercises

Learning Goals

Constant acceleration

Displacement-time graphs

Displacement-time graphs

Theory

Exercises

Learning Goals

Velocity-time graphs

Velocity-time graphs

Theory

Exercises

Learning Goals

Constant acceleration: Deriving formulae

Constant acceleration: Deriving formulae

Theory

Exercises

Learning Goals

Constant acceleration formulae: SUVAT

Constant acceleration formulae: SUVAT

Theory

Exercises

Learning Goals

Vertical motion under gravity

Vertical motion under gravity

Theory

Exercises

Learning Goals

Modelling in mechanics

Modelling assumptions

Modelling assumptions

Theory

Exercises

Learning Goals

Quantities and units in mechanics

Quantities and units in mechanics

Theory

Exercises

Learning Goals

Working with vectors

Working with vectors

Theory

Exercises

Learning Goals

Hypothesis testing I

Hypothesis testing

Hypothesis testing

Theory

Exercises

Learning Goals

Hypothesis testing: Finding critical values

Hypothesis testing: Finding critical values

Theory

Exercises

Learning Goals

One-tailed tests

One-tailed tests

Theory

Exercises

Learning Goals

Two-tailed tests

Two-tailed tests

Theory

Exercises

Learning Goals

Binomial distribution

Probability distributions

Probability distributions

Theory

Exercises

Learning Goals

The binomial distribution

The binomial distribution

Theory

Exercises

Learning Goals

Cumulative probabilities

Cumulative probabilities

Theory

Exercises

Learning Goals

Calculating probabilities

Calculating probabilities

Theory

Exercises

Learning Goals

Venn diagrams

Theory

Exercises

Learning Goals

Probability: Mutually exclusive and independent events

Probability: Mutually exclusive and independent events

Theory

Exercises

Learning Goals

Probability: Tree diagrams

Probability: Tree diagrams

Theory

Exercises

Learning Goals

Representation of data

Outliers

Theory

Exercises

Learning Goals

Box plots

Theory

Exercises

Learning Goals

Cumulative frequency

Cumulative frequency

Theory

Exercises

Learning Goals

Histograms

Theory

Exercises

Learning Goals

Comparing data sets

Comparing data sets

Theory

Exercises

Learning Goals

Correlation

Theory

Exercises

Learning Goals

Linear regression

Linear regression

Theory

Exercises

Learning Goals

Measures of location and spread

Measures of central tendency: Mean, median, mode

Measures of central tendency: Mean, median, mode

Theory

Exercises

Learning Goals

Measures of location: Quartiles, percentiles, deciles

Measures of location: Quartiles, percentiles, deciles

Theory

Exercises

Learning Goals

Measures of spread: Range

Measures of spread: Range

Theory

Exercises

Learning Goals

Variance and standard deviation

Variance and standard deviation

Theory

Exercises

Learning Goals

Coding

Theory

Exercises

Learning Goals

Data collection

Population and samples

Population and samples

Theory

Exercises

Learning Goals

Sampling techniques

Sampling techniques

Theory

Exercises

Learning Goals

Types of data

Theory

Exercises

Learning Goals

Vectors

Theory

Exercises

Learning Goals

Representing vectors

Representing vectors

Theory

Exercises

Learning Goals

Magnitude and direction of a vector

Magnitude and direction of a vector

Theory

Exercises

Learning Goals

Position vectors and displacement vectors

Position vectors and displacement vectors

Theory

Exercises

Learning Goals

Solving geometric problems

Solving geometric problems

Theory

Exercises

Learning Goals

Modelling with vectors

Modelling with vectors

Theory

Exercises

Learning Goals

Integrating x^n

Integrating x^n

Theory

Exercises

Learning Goals

Indefinite integrals

Indefinite integrals

Theory

Exercises

Learning Goals

Finding functions by integrating

Finding functions by integrating

Theory

Exercises

Learning Goals

Definite integrals

Definite integrals

Theory

Exercises

Learning Goals

Area under a curve

Area under a curve

Theory

Exercises

Learning Goals

Area under the x-axis

Area under the x-axis

Theory

Exercises

Learning Goals

Area between a curve and a line

Area between a curve and a line

Theory

Exercises

Learning Goals

Differentiation I

Finding the gradient of a curve

Finding the gradient of a curve

Theory

Exercises

Learning Goals

Differentiation from first principles

Differentiation from first principles

Theory

Exercises

Learning Goals

Differentiating x^n

Differentiating x^n

Theory

Exercises

Learning Goals

Differentiating functions with multiple terms

Differentiating functions with multiple terms

Theory

Exercises

Learning Goals

Gradients, tangents and normals

Gradients, tangents and normals

Theory

Exercises

Learning Goals

Increasing and decreasing functions

Increasing and decreasing functions

Theory

Exercises

Learning Goals

Second order derivatives

Second order derivatives

Theory

Exercises

Learning Goals

Stationary points

Stationary points

Theory

Exercises

Learning Goals

Sketching gradient functions

Sketching gradient functions

Theory

Exercises

Learning Goals

Modelling with differentiation

Modelling with differentiation

Theory

Exercises

Learning Goals

Exponentials and logarithms

Exponential functions

Exponential functions

Theory

Exercises

Learning Goals

y = e^x

Theory

Exercises

Learning Goals

Exponential modelling

Exponential modelling

Theory

Exercises

Learning Goals

Logarithms

Theory

Exercises

Learning Goals

Laws of logarithms

Laws of logarithms

Theory

Exercises

Learning Goals

Solving equations using logarithms

Solving equations using logarithms

Theory

Exercises

Learning Goals

Natural logarithms

Natural logarithms

Theory

Exercises

Learning Goals

Logarithms and non-linear data

Logarithms and non-linear data

Theory

Exercises

Learning Goals

Harder exponential modelling

Harder exponential modelling

Theory

Exercises

Learning Goals

Trigonometric equations

Angles in all four quadrants

Angles in all four quadrants

Theory

Exercises

Learning Goals

Exact trigonometric values

Exact trigonometric values

Theory

Exercises

Learning Goals

Trigonometric identities

Trigonometric identities

Theory

Exercises

Learning Goals

Simple trigonometric equations

Simple trigonometric equations

Theory

Exercises

Learning Goals

Harder trigonometric equations

Harder trigonometric equations

Theory

Exercises

Learning Goals

Equations and identities

Equations and identities

Theory

Exercises

Learning Goals

The cosine rule

The cosine rule

Theory

Exercises

Learning Goals

The sine rule

Theory

Exercises

Learning Goals

Area of a triangle

Area of a triangle

Theory

Exercises

Learning Goals

Solving triangle problems

Solving triangle problems

Theory

Exercises

Learning Goals

Trig graphs: sin x, cos x, tan x

Trig graphs: sin x, cos x, tan x

Theory

Exercises

Learning Goals

Transforming trigonometric graphs

Transforming trigonometric graphs

Theory

Exercises

Learning Goals

Binomial expansion I

Pascal's triangle

Pascal's triangle

Theory

Exercises

Learning Goals

Factorial notation

Factorial notation

Theory

Exercises

Learning Goals

Binomial expansion

Binomial expansion

Theory

Exercises

Learning Goals

Solving binomial problems

Solving binomial problems

Theory

Exercises

Learning Goals

Binomial estimation

Binomial estimation

Theory

Exercises

Learning Goals

Midpoints and perpendicular bisectors

Midpoints and perpendicular bisectors

Theory

Exercises

Learning Goals

Equation of a circle

Equation of a circle

Theory

Exercises

Learning Goals

Intersection of straight lines and circles

Intersection of straight lines and circles

Theory

Exercises

Learning Goals

Using tangent and chord properties

Using tangent and chord properties

Theory

Exercises

Learning Goals

Circles and triangles

Circles and triangles

Theory

Exercises

Learning Goals

Straight line graphs

y = mx + c

Theory

Exercises

Learning Goals

Equations of straight lines

Equations of straight lines

Theory

Exercises

Learning Goals

Parallel and perpendicular lines

Parallel and perpendicular lines

Theory

Exercises

Learning Goals

Length and area

Length and area

Theory

Exercises

Learning Goals

Modelling with straight lines

Modelling with straight lines

Theory

Exercises

Learning Goals

Transformations

Translating graphs

Translating graphs

Theory

Exercises

Learning Goals

Stretching and reflecting graphs

Stretching and reflecting graphs

Theory

Exercises

Learning Goals

Transforming graphs

Transforming graphs

Theory

Exercises

Learning Goals

Sketching graphs

Cubic graphs

Theory

Exercises

Learning Goals

Quartic graphs

Theory

Exercises

Learning Goals

Reciprocal graphs

Reciprocal graphs

Theory

Exercises

Learning Goals

Points of intersection

Points of intersection

Theory

Exercises

Learning Goals

Using the discriminant

Using the discriminant

Theory

Exercises

Learning Goals

Direct and inverse proportion

Direct and inverse proportion

Theory

Exercises

Learning Goals

Functions

Theory

Exercises

Learning Goals

Expanding brackets

Expanding brackets

Theory

Exercises

Learning Goals

Factorising

Theory

Exercises

Learning Goals

$Simplifying algebraic fractions$

Simplifying algebraic fractions

Theory

Exercises

Learning Goals

Polynomial division

Polynomial division

Theory

Exercises

Learning Goals

The factor theorem

The factor theorem

Theory

Exercises

Learning Goals

Equations and inequalities

Linear simultaneous equations

Linear simultaneous equations

Theory

Exercises

Learning Goals

Quadratic simultaneous equations

Quadratic simultaneous equations

Theory

Exercises

Learning Goals

Set notation and interval notation

Set notation and interval notation

Theory

Exercises

Learning Goals

Linear inequalities

Linear inequalities

Theory

Exercises

Learning Goals

Quadratic inequalities

Quadratic inequalities

Theory

Exercises

Learning Goals

Inequalities on graphs

Inequalities on graphs

Theory

Exercises

Learning Goals

Inequality regions

Inequality regions

Theory

Exercises

Learning Goals

Solving quadratic equations

Solving quadratic equations

Theory

Exercises

Learning Goals

Completing the square

Completing the square

Theory

Exercises

Learning Goals

Quadratic graphs

Quadratic graphs

Theory

Exercises

Learning Goals

Identifying the discriminant

Identifying the discriminant

Theory

Exercises

Learning Goals

Modelling with quadratics

Modelling with quadratics

Theory

Exercises

Learning Goals

Solving disguised quadratics

Solving disguised quadratics

Theory

Exercises

Learning Goals

Indices and surds

Laws of indices

Laws of indices

Theory

Exercises

Learning Goals

$Negative and fractional indices$

Negative and fractional indices

Theory

Exercises

Learning Goals

Surds

Theory

Exercises

Learning Goals

Rationalising the denominator

Rationalising the denominator

Theory

Exercises

Learning Goals

Disproof by counterexample

Disproof by counterexample

Theory

Exercises

Learning Goals

Proof by deduction

Proof by deduction

Theory

Exercises

Learning Goals

Proof by exhaustion

Proof by exhaustion

Theory

Exercises

Learning Goals

Popular Chapters in All Year Groups

Fractions

Algebra

Statistics

Multiplication and division

Measurement

Trigonometry

Graphs

Geometry - properties of shapes

Probability

Shapes and area

Differentiation I

Exponentials and logarithms

Formulae and equations

Functions

Addition and subtraction

Integration I

Vectors I

Beta

I'm Vulpy, your AI study buddy! Let's study together.

©2020 - 2024 evulpo AG