Maths

Direct and inverse proportion

Ratio

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Finding percentages and percentage change

Theory

Exercises

Learning Goals

Compound growth and decay

Theory

Exercises

Learning Goals

Equations and inequalities

Linear simultaneous equations

Theory

Exercises

Learning Goals

Quadratic simultaneous equations

Theory

Exercises

Learning Goals

Set notation and interval notation

Theory

Exercises

Learning Goals

Linear inequalities

Theory

Exercises

Learning Goals

Integration I

Finding functions by integrating

Integrating x^n

Theory

Exercises

Learning Goals

Indefinite integrals

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Definite integrals

Theory

Exercises

Learning Goals

Representation of data

Fractions of a set of objects

Outliers

Theory

Exercises

Learning Goals

Box plots

Theory

Exercises

Learning Goals

Cumulative frequency

Theory

Exercises

Learning Goals

Histograms

Theory

Exercises

Learning Goals

Fractions

See All (28)

Counting in tenths

Theory

Exercises

Learning Goals

Counting in hundredths

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Fractions as numbers

Theory

Exercises

Learning Goals

Forces and motion

Force diagrams

Theory

Exercises

Learning Goals

Forces as vectors

Theory

Exercises

Learning Goals

Forces and acceleration

Theory

Exercises

Learning Goals

Motion in two dimensions

Theory

Exercises

Learning Goals

Polynomials

Simplifying algebraic fractions

Functions

Theory

Exercises

Learning Goals

Expanding brackets

Theory

Exercises

Learning Goals

Factorising

Theory

Exercises

Learning Goals

$Simplifying algebraic fractions$

Theory

Exercises

Learning Goals

Sketching graphs

Cubic graphs

Theory

Exercises

Learning Goals

Quartic graphs

Theory

Exercises

Learning Goals

Reciprocal graphs

Theory

Exercises

Learning Goals

Points of intersection

Theory

Exercises

Learning Goals

Trigonometric equations

Angles in all four quadrants

Theory

Exercises

Learning Goals

Exact trigonometric values

Theory

Exercises

Learning Goals

Trigonometric identities

Theory

Exercises

Learning Goals

Simple trigonometric equations

Theory

Exercises

Learning Goals

Vectors I

Magnitude and direction of a vector

Vectors

Theory

Exercises

Learning Goals

Representing vectors

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Position vectors and displacement vectors

Theory

Exercises

Learning Goals

Circles

Midpoints and perpendicular bisectors

Theory

Exercises

Learning Goals

Equation of a circle

Theory

Exercises

Learning Goals

Intersection of straight lines and circles

Theory

Exercises

Learning Goals

Using tangent and chord properties

Theory

Exercises

Learning Goals

Differentiation II

See All (11)

Differentiating inverse functions

Theory

Exercises

Learning Goals

Differentiating trigonometric functions

Theory

Exercises

Learning Goals

Parametric differentiation

Theory

Exercises

Learning Goals

Implicit differentiation

Theory

Exercises

Learning Goals

Integration II

See All (11)

Integrating standard functions

Theory

Exercises

Learning Goals

Integrating f(ax + b)

Theory

Exercises

Learning Goals

Integration with trigonometric identities

Theory

Exercises

Learning Goals

Reverse chain rule

Theory

Exercises

Learning Goals

Quadratics

Solving quadratic equations

Theory

Exercises

Learning Goals

Completing the square

Theory

Exercises

Learning Goals

Quadratic graphs

Theory

Exercises

Learning Goals

Identifying the discriminant

Theory

Exercises

Learning Goals

Binomial expansion I

Solving binomial problems

Binomial expansion

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Binomial estimation

Theory

Exercises

Learning Goals

Pascal's triangle

Theory

Exercises

Learning Goals

Constant acceleration

Constant acceleration: Deriving formulae

Displacement-time graphs

Theory

Exercises

Learning Goals

Velocity-time graphs

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Constant acceleration formulae: SUVAT

Theory

Exercises

Learning Goals

Variable acceleration

Constant acceleration formulae

Theory

Exercises

Learning Goals

Functions of time: Displacement, velocity, acceleration

Theory

Exercises

Learning Goals

Using differentiation to find velocity and acceleration

Theory

Exercises

Learning Goals

Maxima and minima problems

Theory

Exercises

Learning Goals

Geometry - properties of shapes

See All (16)

2D shapes: Types and properties

Theory

Exercises

Learning Goals

3D shapes: Types and properties

Theory

Exercises

Learning Goals

Symmetry

Theory

Exercises

Learning Goals

Comparing and classifying shapes

Theory

Exercises

Learning Goals

Measurement

See All (21)

Length: Comparing, adding and subtracting

Theory

Exercises

Learning Goals

Mass: Comparing, adding and subtracting

Theory

Exercises

Learning Goals

Volume: Comparing, adding and subtracting

Theory

Exercises

Learning Goals

Adding and subtracting money

Theory

Exercises

Learning Goals

Number and place value

See All (14)

Numbers higher than 1000

Theory

Exercises

Learning Goals

Numbers to 1000

Theory

Exercises

Learning Goals

Numbers to 10,000,000

Theory

Exercises

Learning Goals

Place value: Three-digit numbers

Theory

Exercises

Learning Goals

Formulae and equations

Substituting numbers into an expression

Theory

Exercises

Learning Goals

Writing and using formulae

Theory

Exercises

Learning Goals

Solving equations

Theory

Exercises

Learning Goals

Rearranging formulae

Theory

Exercises

Learning Goals

Functions

Functions and mappings

Theory

Exercises

Learning Goals

Composite functions

Theory

Exercises

Learning Goals

Inverse functions

Theory

Exercises

Learning Goals

The modulus function

Theory

Exercises

Learning Goals

Hypothesis testing I

Hypothesis testing: Finding critical values

Hypothesis testing

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

One-tailed tests

Theory

Exercises

Learning Goals

Two-tailed tests

Theory

Exercises

Learning Goals

Indices and surds

Negative and fractional indices

Laws of indices

Theory

Exercises

Learning Goals

$Negative and fractional indices$

Theory

Exercises

Learning Goals

Surds

Theory

Exercises

Learning Goals

Rationalising the denominator

Theory

Exercises

Learning Goals

Rates of change

Solving best buy problems

Percentage change

Theory

Exercises

Learning Goals

Conversion factors

Theory

Exercises

Learning Goals

Imperial units

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Sequences and series

Sequences revision

Theory

Exercises

Learning Goals

Arithmetic sequences

Theory

Exercises

Learning Goals

Arithmetic series

Theory

Exercises

Learning Goals

Geometric sequences

Theory

Exercises

Learning Goals

Types of numbers

Understanding place value

Theory

Exercises

Learning Goals

Negative numbers: Add, subtract, multiply, divide

Theory

Exercises

Learning Goals

Special types of numbers

Theory

Exercises

Learning Goals

Multiples, factors and prime factors

Theory

Exercises

Learning Goals

Measures of location and spread

Measures of central tendency: Mean, median, mode

Theory

Exercises

Learning Goals

Measures of location: Quartiles, percentiles, deciles

Theory

Exercises

Learning Goals

Measures of spread: Range

Theory

Exercises

Learning Goals

Variance and standard deviation

Theory

Exercises

Learning Goals

Proof I

Mathematical structure and arguments

Theory

Exercises

Learning Goals

Disproof by counterexample

Theory

Exercises

Learning Goals

Proof by deduction

Theory

Exercises

Learning Goals

Proof by exhaustion

Theory

Exercises

Learning Goals

Normal distribution

The normal distribution: Finding probabilities

The normal distribution

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

The inverse normal distribution function

Theory

Exercises

Learning Goals

The standard normal distribution

Theory

Exercises

Learning Goals

Trigonometry and modelling

Using the angle addition formulae

Addition formulae

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Double angle formulae

Theory

Exercises

Learning Goals

Solving trigonometric equations: Double angle formula

Theory

Exercises

Learning Goals

Addition and subtraction

Adding numbers using mental maths

Theory

Exercises

Learning Goals

Using column addition to add numbers

Theory

Exercises

Learning Goals

Subtracting numbers using mental maths

Theory

Exercises

Learning Goals

Using column subtraction to subtract numbers

Theory

Exercises

Learning Goals

Algebraic manipulation

Single brackets: Expanding and factorising

Theory

Exercises

Learning Goals

Algebraic notation

Theory

Exercises

Learning Goals

Algebraic terms

Theory

Exercises

Learning Goals

Simplifying algebraic expressions

Theory

Exercises

Learning Goals

Application of forces

Dynamics and inclined planes

Statics of rigid bodies

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Connected particles

Theory

Exercises

Learning Goals

Static particles

Theory

Exercises

Learning Goals

Binomial distribution

Probability distributions

Theory

Exercises

Learning Goals

The binomial distribution

Theory

Exercises

Learning Goals

Cumulative probabilities

Theory

Exercises

Learning Goals

Data collection

Population and samples

Theory

Exercises

Learning Goals

Sampling techniques

Theory

Exercises

Learning Goals

Types of data

Theory

Exercises

Learning Goals

Modelling in mechanics

Modelling assumptions

Theory

Exercises

Learning Goals

Quantities and units in mechanics

Theory

Exercises

Learning Goals

Working with vectors

Theory

Exercises

Learning Goals

Number calculations

Ordering numbers: Whole numbers and decimals

Theory

Exercises

Learning Goals

Addition and subtraction using the column method

Theory

Exercises

Learning Goals

Multiplying and dividing by powers of 10

Theory

Exercises

Learning Goals

Adding and subtracting decimals

Theory

Exercises

Learning Goals

Transformations

Translating graphs

Theory

Exercises

Learning Goals

Stretching and reflecting graphs

Theory

Exercises

Learning Goals

Transforming graphs

Theory

Exercises

Learning Goals

Moments

Moments

Theory

Exercises

Learning Goals

Resultant moments

Theory

Exercises

Learning Goals

Equilibrium

Theory

Exercises

Learning Goals

Centre of mass

Theory

Exercises

Learning Goals

Conditional probability

Conditional probability in Venn diagrams

Set notation

Theory

Exercises

Learning Goals

Conditional probability

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Probability formulae

Theory

Exercises

Learning Goals

Numerical methods

Staircase and cobweb diagrams

Locating roots

Theory

Exercises

Learning Goals

Iteration

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Newton-Raphson method

Theory

Exercises

Learning Goals

Other graphs

Solving simultaneous equations using graphs

Interpreting graphs

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Quadratic graphs

Theory

Exercises

Learning Goals

Travel graphs: Distance-time graphs

Theory

Exercises

Learning Goals

Parametric equations

Using trigonometric identities

Parametric equations

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Sketching parametric curves

Theory

Exercises

Learning Goals

Points of intersection of parametric curves

Theory

Exercises

Learning Goals

Radians

Areas of sectors and segments

Radian measure

Theory

Exercises

Learning Goals

Arc length

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Solving trigonometric equations

Theory

Exercises

Learning Goals

Trigonometric functions

Secant, cosecant and cotangent

Theory

Exercises

Learning Goals

Graphs of sec x, cosec x and cot x

Theory

Exercises

Learning Goals

Solving equations with sec x, cosec x and cot x

Theory

Exercises

Learning Goals

Further trigonometric identities

Theory

Exercises

Learning Goals

Further kinematics

Vector methods with projectiles

Vectors in kinematics

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Variable acceleration in one dimension

Theory

Exercises

Learning Goals

Differentiating vectors

Theory

Exercises

Learning Goals

Projectiles

Projectiles: Horizontal and vertical components

Horizontal projection

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Projection at any angle

Theory

Exercises

Learning Goals

Equation of the trajectory of a projectile

Theory

Exercises

Learning Goals

Algebraic fractions

Operations with algebraic fractions

$Operations with algebraic fractions$

Theory

Exercises

Learning Goals

$Partial fractions$

Partial fractions

Theory

Exercises

Learning Goals

Repeated factors

Theory

Exercises

Learning Goals

Algebraic division

Theory

Exercises

Learning Goals

Binomial expansion II

Binomial expansion: (1+x)^n

Theory

Exercises

Learning Goals

Binomial expansion: (a+bx)^n

Theory

Exercises

Learning Goals

$Binomial expansion with partial fractions$

Binomial expansion with partial fractions

Theory

Exercises

Learning Goals

Binomial expansion of compound expressions

Theory

Exercises

Learning Goals

Lines and angles

Interior and exterior angles

Types of angles

Theory

Exercises

Learning Goals

Angle rules

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Parallel lines

Theory

Exercises

Learning Goals

Properties of shapes

Symmetrical shapes and rotational symmetry

Theory

Exercises

Learning Goals

Congruent shapes

Theory

Exercises

Learning Goals

Similar shapes

Theory

Exercises

Learning Goals

Nets and surface area

Theory

Exercises

Learning Goals

Shapes

Quadrilaterals: Types and properties

Theory

Exercises

Learning Goals

Triangles and regular polygons: Types and properties

Theory

Exercises

Learning Goals

Circles: Area and circumference

Theory

Exercises

Learning Goals

3D shapes: Identification and properties

Theory

Exercises

Learning Goals

Vectors II

Solving geometric problems

3D coordinates

Theory

Exercises

Learning Goals

Vectors in 3D

Theory

Exercises

Learning Goals

Theory

Exercises

Learning Goals

Applications to mechanics: 3D vectors

Theory

Exercises

Learning Goals

Correlation and hypothesis testing

Exponential models

Theory

Exercises

Learning Goals

Measuring correlation

Theory

Exercises

Learning Goals

Hypothesis testing for zero correlation

Theory

Exercises

Learning Goals

Drawing shapes

Transformations

Theory

Exercises

Learning Goals

Constructions

Theory

Exercises

Learning Goals

Constructing triangles

Theory

Exercises

Learning Goals

Forces and friction

Resolving forces

Theory

Exercises

Learning Goals

Inclined planes

Theory

Exercises

Learning Goals

The coefficient of friction

Theory

Exercises

Learning Goals

Geometry - position and direction

Coordinates in the first quadrant

Theory

Exercises

Learning Goals

Describing movement on a grid

Theory

Exercises

Learning Goals

Coordinate polygons

Theory

Exercises

Learning Goals

Drawing and reflecting shapes on the coordinate grid

Theory

Exercises

Learning Goals

Measures

Area and perimeter: Triangles and quadrilaterals

Theory

Exercises

Learning Goals

Area of compound shapes

Theory

Exercises

Learning Goals

Volume of prisms

Theory

Exercises

Learning Goals

Proof II

Proof by contradiction

Theory

Exercises

Learning Goals

Criticising proofs

Theory

Exercises

Learning Goals

Ratio and proportion