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A-Level Year 1
01 Problem solving and proof
Proof
02. Algebra indices and surds
Expressions
Quizlet: Algebra indices and surds
03 The quadratic function
Practical problems leading to solving quadratic equations
Quizlet: The qadratic function
04 Equations and inequalities
Quizlet Equations and inequalities
05 Coordinate geometry
Circle geometry
Quizlet Coordinate Geometry
06 Trigonometry
The graphs of y=sinx, y=cosx and y=tanx and the unit circle.
Proof of sine and cosine rules
Trigonometry of right angled and non-right angled triangles
3D Trigonometry
Solving trigonometric equations revision
Solving trigonometric equations further examples
Quizlet: Trigonometry
07 Sequences and series
08 Polynomials
Quizlet Polynomials
09 Graphs and transformations
The transformations of graphs
Translations of graphs of functions
Refections of graphs of reflections
Stretches parallel to x- and y-axes
Quizlet: Graphs and transformations
10 Binomial theorem and counting principles
Quizlet: Binomial theorem and counting princples
11 Differentiation.
Pre-Calculus
Differentiation by first principles
Differentiation using standard results
Equations of tangents and normals
Increasing and decreasing functions, maximum, minimum and points of inflect
Optimisation
Quizlet : Differentiation
12 Integration
Integration as the reverse of differentiation
The area between a curve and x-axis
Integration harder examples
Quizlet: Integration
13 Vectors
Working with vectors
Quizlet: Vectors
14 Exponentials and logarithms
The exponential growth and decay
Logarithms
The exponential and natural logarithm functions
Conversion to linear form
Exponents and logarithms revision
Exponents and logarithms revision
Quizlet: Exponents and logarithms
15 Large data set
World countries data set
Food and nutrition data set
16 Data processing, presentation and interpretation
Stem and leaf plots
Histograms
Bivariate data
Quizlet: Data processing, presentation and interpretation
17 Probability
Quizlet: Probability
18 The binomial distribution
Quizlet: The binomial distribution
19 Statistical hypothesis testing using the binomial distribution
20 Kinematics
Displacement, velocity, acceleration-time graphs
Drawing motion graphs
Motion in a straight line with constant acceleration
Vertical motion in a straight line under gravity
Suvat equations mixed problems
Quizlet: Kinematics
21 Forces and Newton's laws of motion
Force diagrams
Forces when a system is equilibrium
Newton's 2nd law of motion in a horizontal and vertical line
Connected objects
Newton's laws of motion examination style questions
Forces and Newton's laws of motion
Quizlet: Newton's laws of motion
22 Variable acceleration
Quizlet: Variable acceleration
Intervention questions
Trigonometry and kinematics assessment
Intervention after May exams
AS Pure practice
AS Mechanics practice questions
AS Probability and statistics practice
A-Level Year 2
23 Proof
Proof previous knowledge
Questions involving proof
24 Trigonometry and circular measure
Trigonometric graphs particular angles and circular measure
Radians and circular measure
Small-angle approximations
Quizlet: Trigonometry and circular measure
25 Sequences and series
Arithmetric sequences and series
Geometric sequences and series
Sum to infinity of a geometric series
Arithmetic and geometric sequences mixed questions
Sigma notation and sequences
Revision questions for sequences and series
Quizlet: Sequences and series
26 Functions
Mappings and functions
Graphs and transformations
The transformations of graphs
Translations of graphs of functions
Refections of graphs of reflections
Stretches parallel to x- and y-axes
Composite and inverse functions
The modulus function
Quizlet: Functions
GeoGebra: Functions
27 Differentiation shape of curve, chain, product & quotient rules
Chain rule
Product and Quotient rules
Connected rates of change
Quizlet: Differentiation, shape of curve, chain, product & quotient rules
28 Trigonometric functions
Reciprocal trigonometric functions
Inverse trigonometrical functions
Solving trigonometric equations
Quizlet: Trigonometric functions
29 Further algebra
Binomial theorem for negative or factional index
Partial fractions
Quizlet: Further algebra
30 Trigonometric identities
The function acosx + bsinx =rcos(x-alpha)
Quizlet: Trigonometric identities
31 Further differentiation
Differentiating exponentials and logarithms
Differentiating trigonometric functions
Differentiation of parametric curves
Implicit differentiation
Differentiation revision
Quizlet: Further differention
32 Integration
The area between a curve and x-axis
Standard integrals
Integrating using the reverse of the chain rule
Integration using trigonometric identities
Using partial fractions to integrate expressions
Integrating using standard patterns
Integration by substitution
Integration by parts
Numerical integration: The trapezium rule
Integration mixed examples
Integration revision
Quizlet: Integration
33 Parametric equations
Parametric equations introduction
Finding the Cartesian equation by eliminating the parameter
Differentiation of parametric curves
Quizlet: Parametric equations
34 Vectors in three dimensions
Review of vectors, multiplication by a scalar and vector geometry
Working with vectors in three dimensions
Quizlet: Vectors in 3-demensions
35 Using integration to solve differential equations
Solving differential equations by separating the variables
Quizlet: Using integration to solve differential equations
36 Numerical methods
Numerical solutions to equations
The Newton-Raphson method
The trapezium rule
Quizlet: Numerical methods
37 Further probability
Quizlet: Further probability
38 Probability distributions
Normal approximation to the binomial distribution
Quizlet: Probability distributions
39 Statistical hypothesis testing
The distribution of the sample mean
Hypothesis testing for the mean using the normal distribution
Bivariate data: correlation and association
40 Motion in two or three dimensions
Quizlet: Motion in two or three dimensions
41 Force and motion
Forces and motion in 2D
Quizlet: Forces and motion
42 Moments of forces
Levers
Quizlet: Moments of forces
43 Projectiles
Quizlet: Projectiles
44 A model for friction
Quizlet: A model for friction
Revision
A-Level Practice Paper: Pure and statistics 01
A-Level Practice Paper: Pure and statistics 02
A-Level Practice Paper: Pure and statistics 03
A-Level Mechanics practice paper 01
A-Level Mechanics practice paper 02
A-Level Mechanics practice paper 03
Practice questions
01 Trigonometry
02 Further algebra
03 Functions
04 Integration
05 Parametric equations
06 Differential equations
07 Fixed point iteration
08 Forces and motion
09 Model for friction
10 The normal distribution
11 Hypothesis testing
12 Modelling
Intervention questions
Functions and trigonometry assessment
Intervention after January Mock Examination
A-level Formulae
A-level Further Mathematics
01 Matrices and transformations
02 Complex numbers
Complex numbers introduction
Complex solutions to polynomial equations
03 Roots of polynomials
Complex solutions to polynomial equations
04 Sequences and series
Mathematical induction
05 Complex numbers and geometry
Loci in the Argand diagram
06 Matrices and their inverses
07 Vectors and 3D space
The equation of a plane
The intersection of 2 and 3 planes
Angles and intersections between lines and planes
08 Vectors 1
Angles and intersections between lines and planes
09 Further calculus
Improper integrals
Calculus with inverse trigonometric functions
Integration using inverse trigonometric functions
Integration using partial fractions
Integration using trigonometric substitution
Integration revision
10 Polar coordinates
11 Maclaurin series
12 Hyperbolic functions
13 Applications of integration
14 1st order differential equations
15 The vector (cross) product
16 2nd Order differential equations
17 Impulse and momentum
18 Work and energy
Power
19 Centre of mass
20 Uniform circular motion
21 Hooke's law
22 Simple harmonic motion
(I)GCSE Year 5/11
Algebra 8 - Functions, domain and range, composite and inverse functions
Mappings and functions
Function notation
Domain and range of a function
Composite and inverse functions
Quizlet: Algebra 8
Handling data 5 - Rules of probability, combined events, tree diagrams, ind
Quizlet : Handling data 5
Algebra 9- Simultaneous equations linear and non-linear and proof
Proof
Quizlet : Algebra 9
Graphs 8 - The gradient of a curve and the transformations of graphs.
The gradient of a curve and rates of change
The transformations of graphs
Translations of graphs of functions
Refections of graphs of reflections
Stretches parallel to x- and y-axes
Quizlet : Graphs 8
Shape and space 8 - Vectors, multiplication by a scalar and vector geometry
Quizlet : Shape and space 8
Handling data 6 - Drawing and interpreting histograms
Number 10 Rational numbers, irrational numbers and surds
Quizlet : Number 10
Algebra 10 - Simplifying, operations and solving equations with algebraic f
Quizlet: Algebra 10
Graphs 9 - The gradient function, differentiation, rates of change and stat
Pre-Calculus
The gradient of a function
Rate of change and stationary points
Quizlet : Graphs 9
Shape and space 9 - Three dimensional trigonometry
Quizlet: Shape and space 9
Shape and space 10 - Graphs of trigonometric functions, sine and cosine rul
The graphs of y=sinx, y=cosx and y=tanx
Equation solvers for sin, cos and tan
Sine and cosine rules and the area of a triangle
Quizlet: Shape and space 10
Handling data 7 - Conditional probability
IGCSE Past paper support
Mathematics A Paper 3H part 1
Mathematics A Paper 3H part 2
Mathematics A Paper 4H part 1
Mathematics A Paper 4H part 2
Mathematics A Miscellaneous
Mixed IGCSE revision questions
Questions 1 - 12
Questions 13 - 24
Questions 25 - 36
Questions 37- 48
Questions 49 - 64
Exam review
IGCSE Algebra level 8-9 questions
IGCSE Number Level 8-9 questions
IGCSE Miscellaneous 8-9 level questions 01
IGCSE Miscellaneous 8-9 level questions 02
IGCSE Miscellaneous 8-9 level questions 03
IGCSE Miscellaneous 8-9 level questions 04
IGCSE Miscellaneous 8-9 level questions 05
IGCSE Miscellaneous 8-9 level questions 06
IGCSE Miscellaneous 8-9 level questions 07
Examination style questions 01
Examination style questions 02
Examination style questions 03
IGCSE Basic examination questions
Revision: Quadratic equations
Further revision questions
(I)GCSE Year 4/10
Number 4 - Compound and inverse percentages
Percentages and reverse percentages
Reverse percentage assessment videos
Quizlet Percentages
Number 5 - Calculators, estimating, rounding, upper and lower bounds
Upper and lower bounds
Quizlet: Upper and Lower bounds
Algebra 4 - Using formulae and changing the subject
Quizlet: Changing the subject
Shape and space 2 - Pythagoras' theorem and circle theorems
Circle theorem questions
Polygons
Quizlet : Shape and space 2
Shape and space 1 - Similar triangles
Quizlet: Shape and space 1
Algebra 5 - Multiplying brackets, factorising quadratics, solving quadratic
Factorising by grouping
Solving quadratic equations by factorisation
Forming solving quadratic equations from practical problems
GeoGebra solving quadratic equations
Quizlet : Algebra 5
Handling data 3 - Measures of dispersion, quartiles and cumulative frequenc
Quizlet: Handling data 3
Number 6 - Direct and inverse proportion, fractional and negative indices
Fractional and negative indices
Quizlet Number 6
Algebra 6 - Variation and indices
Fractional and negative indices
Quizlet : Algebra 6
Sequences - Finding the next term, finding a formula and arithmetic sequenc
Arithmetric sequences and series
Quizlet : Sequences
Graphs 6 - Cubic and reciprocal graphs
Shape and space 6 - Alternate segment and intersecting chords theorems
Quizlet: Shape and space 6
Sets 2 - Three set and practical problems, shading sets and set builder not
Quizlet: Sets 2
Number 7 - Recurring decimals and advanced calculator problems
Quizlet: Number 7
Algebra 7 - Solving quadratics by factorisation, completing the square and
Quadratic inequalities
Sketching a quadratic function
GeoGebra solving quadratic equations
Quizlet: Algebra 7
Graphs 7 - Using graphs to solve quadratic and other equations, non-linear
Quizlet: Graphs 7
Shape and space 7 - Circles, solids and similar shapes
Volume and surface area of prisms, cylinders, pyramids, cones and spheres
Area and volume of similar shapes
Quizlet: Shape and space 7
Revision
Revision set 01
Revision set 02
Revision set 03
Revision set 04
Revision set 05
IGCSE Examination style questions 01
IGCSE Examination style questions 02
IGCSE Examination style questions 03
(I)GCSE Year 3/9
Algebra 1 -Expressions, brackets and solving equations
Algebra assessment videos 01
Algebra assessment videos 02
Solving equations
Solving equations assessment videos 01
Solving equations assessment videos 02
Forming and solving equations
Quizlet : Algebra 1
Graphs 1 - Gradient and plotting straight-line graphs
Real life graphs
Extension material
Solving simultaneous equations graphically
Graph 1 assessment questions
Quizlet: Graphs 1
Shape and space 1 - Angles, triangles, polygons and constructions
Constructions and loci
Shape and space 1 assessment questions
Quizlet: Shape and space 1
GeoGebra constructions
Sets - Set notation and Venn diagrams
Quizlet: Sets
Number 1 Fractions, BIDMAS, significant and decimal places
Fractions
Fractions assessment questions
Approximation and estimation
Order of operations
GeoGebra Apps: Fractions
Quizlet: Number 1
Algebra 2 - Algebraic fractions, solving equations with roots and powers, p
Inequality assessment questions
Quizlet: Algebra 2
Number 2 - Standard form, percentages, percentage increase and decrease
Standard form
Percentages
Quizlet: Number 2
Graphs 2 - Sketching straight-line graphs and solving simultaneous equatio
Solving simultaneous equations graphically
Quizlet : Graphs 2
Handling Data 1 - Presenting data and averages
Assessment questions for mean, median and mode from grouped data
Data presentation
Quizlet: Handling data 1-2
Graphs 5 - Representing inequalities graphically, perpendicular lines, m
Coordinate Geometry
Quizlet: Graphs 5
Number 3 - Prime factor, HCF, LCM and ratio
Ratio
Number systems
Quizlet : Number 3
Shape and space 1 - Similar triangles
Quizlet: Similar triangles
Algebra 3 - Factorisation, simplifying fractions, equations with fractions
Simultaneous equations
Quizlet : Algebra 3
Graphs 3 - Distance-time and speed time graphs
Quizlet: Graphs 3
Shape and space 3 and 4 - Right-angled trigonometry introduction
Quizlet-Shape and space 3 and 4
Handling data 2 - Frequency tables, discrete and continuous data
Graphs 4 - Quadratic graphs and solving quadratics using a graph
Shape and space 5 - Transformations
GeoGebra-transformations
Quizlet: Shape and space 5
Revision
Factorisation, solving equations, means and percentages
KS3 Year 2/8
01 Properties of numbers
Properties of numbers assessment questions
Quizlet: Properties of numbers
02 Fractions
Mixed numbers
Fractions assessment questions
GeoGebra Apps: Fractions
Quizlet: Fractions
03 Area and perimeter
Area assessment questions
GeoGebra Apps: Area
Quizlet: Area and perimeter
04 Negative numbers
Quzlet: Negative numbers
05 Sequences
Quadratic sequences Extended Material
Sequences assessment questions
Sequences harder questions
GeoGebra Apps: Sequences
Quizlet: Sequences
06 Approximation and estimation
Quizlet: Approximation and estimation
07 Standard form
Quizlet: Standard form
08 Angles and Polygons
Polygons
Angles and polygons further questions
Quizlet Angles and polygons
09 Multiplying out brackets and substitution
Quizlet: Multiplying out brackets and substitution
10 Solving and forming linear equations
Forming and solving equations further questions
GeoGebra Apps: Solving equations
Quizlet : Solving and forming linear equations
11 Solving inequalities
Quizlet : Solving inequalities
12 Circles
Harder circle questions
Quizlet: Circles
13 Constructions and bearings
Bearings
Quizlet: Bearings
14 Ratio and map scales
Quizlet: Ratio and map scales
15 Fractions decimals and percentages
Quizlet: Fractions decimals and percentages
Mixed numbers
Compound percentage change
16 Pythagoras' Theorem
Quizlet : Pythagoras' theorem
17 Volume of objects
Quizlet :Volume of prisms
18 Probability
Quizlet: Probability
19 Transformations
GeoGebra-transformations
Quizlet: Transformations
20 Graphs of straight lines
Quizlet: Graphs of straight lines
Revision
Revision set 01
Revision set 02
Revision set 03
Revision set 04
KS3 Year 1/7
01 Coordinates
Quizlet : Coordinates
02 Arithmetic and decimals
Approximation and estimation
GeoGebra Apps: Arithmetic
Quizlet: Arithmetic and decimals
03 Order of operations BIDMAS
Quizlet: Order of operations BIDMAS
04 Metric units
Quizlet : Metric units
05 Area and perimeter
GeoGebra Apps: Area
Quizlet : Area and perimeter
06 Averages and ranges
Quizlet : Averages and ranges
07 Handling data
Quizlet: Handling data
08 Fractions, decimals and percentages
Mixed numbers
GeoGebra Apps: Fractions
Quizlet : Fractions, decimals and percentages
09 Angles
Quizlet : Angles
10 Negative numbers
GeoGebra Apps: Negative numbers
Quzlet: Negative numbers
11 Algebra 1
Quizlet: Algebra 1
12 Algebra 2
GeoGebra Apps: Algebra 2
Quizlet : Algebra 2
13 Properties of numbers
Properties of numbers assessment questions
Quizlet: Properties of number
14 Basic Probability
Quizlet: Basic probability
15 Constructions and loci
16 Ratio and proportion
Proportion
Quizlet: Ratio and proportion
17 Symmetry
18 Transformations
GeoGebra-transformations
Quizlet: Transformations
GeoGebra books
A-level Quizlets
(I)GCSE Quizlets
KS3 Quizlets
Mathematics video site
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Questions_ Optimisation.pdf
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