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IFY

Further Mathematics

Further Mathematics
Practice Paper	Educational tool
Complex Numbers , Mandelbrotset	argand diagrams , complex roots of quadratics
Solving Simultaneous Equations
Curve Sketching	plot your curve , Cardioid
Matrices
Parametric Equations , Cartesian to Polar coordinates , Sketching polar coordinates
Series1
Series2
Roots of Polynomials
Inequalities
Conics	parabola , ellipse
Hyperbolic Functions
Vectors	vectors in trigonometric form , Distance between line and parallel line through origin , distance between point and line , distance between two lines
Differential Equations
Projectile Motion, Projectile Motion 2,
Moments ,	Understanding Moments
Collision , Vertical collision- bouncy ball
Connected Particles
Circular Motion sinusoidal wave , circular motion , uniform circular motion
Simple Harmonic Motion horizontal motion, Simple Harmonic Motion vertical motion, Simple Harmonic Motion Vertical 2

Mathematics

Mathematics
Practice Paper	Educational tool
Expanding polynomials and algebraic division exercise , Plotting rational functions
Differentiation , Tangents on a cubic graph , Tangents to sin(x) , Tangents to polynomials	tangent to a curve , first principles
Integration
Normal Distribution	Central Limit Theorem
Confidence Interval	standard normal distribution
Transformation of functions	Stretching and Shifting
Probability
Financial Mathematics	compare simple interest rate and compound interest rate

A2 Further Mathematics

Further Mathematics
Practice Paper	Educational tool
Non-parametric testing
Hypothesis testing
Generating Functions
Continuous Random Variables
Chi Squared distribution
Test on the Normal Mean
Binomial- expected frequencies, Binomial- expected value
Poisson- expected value
Binomial- variance
Binomial distribution hypothesis one tail test (case 1), Binomial distribution hypothesis two tail test (case 2)
Poisson distribution example
Poisson- variance
Standard Normal Distribution, Normal Distribution, Normal Distribution
Poisson approximation to Binomial
Normal approximation to Binomial
Normal approximation to Poisson
Locating (x̄,ȳ) for bivariate data, Regression line for data points
Random Walk

collection of IFY past papers

AS

MEI

Functions

MEI AS
Practice Paper	Educational tool
Transformation of functions	Stretching and Shifting , Transformations of Quadratics
Expected Value
Differentiation (C1)
Integration (C1)	Area underneath a curve
Permutations (bronze) , Exploring Permutations	arranging letters S,A,Y, Exploring Combinations
Permutations (silver)	circular permutation,
Permutations (gold)	arranging men and women,
Combinations (bronze)
Combinations (silver)
Combinations (gold)
Vectors
Exponentials and Logarithms
Sampling Methods
Representing Data
Probability , Probability Tree diagrams
Geometric Series
Binomial Distribution	Binomial Distribution example- 3 balls , Binomial Distribution example- 10 balls , Binomial Distribution CDF
Discrete Random Variables
Trigonometry
Sequences and Series
Plotting functions

KS3 and GCSE Mathematics

Series

Numbers and Axioms

Practice Paper	Educational tool
Time	Time
Number line	Number line
Addition- commutative	Addition- commutative
Adding negative numbers questions	Adding negative numbers
Subtracting negative numbers	Subtracting negative numbers
Arrays- fact family	Arrays- fact family
Multiplication Grid	Multiplying- Chinese method, Multiplying (decimals)- Chinese method
Multiplication Grid	Multiplication- commutative
Multiplying using arrays	Multiplying using arrays exercise
Dividing using arrays	Dividing using arrays , long division
Base 2 - binary , Base 10 - decimal	Base 2 - binary , Josephus problem Base 10 - decimal
Decimal addition , Base 10 - multiplication , Base 10- subtraction , Base 10- division , algebraic division	Decimal addition , Base 10 - multiplication , Base 10- subtraction , Base 10- division , algebraic division
Factors game	Factors game
Multiples game	Multiples game
Prime factor decomposition exercises	Prime factor decomposition- flow diagram , Prime factor decomposition , Prime factor decomposition- using Venn diagrams
Lowest Common Multiple exercises	Lowest Common Multiple
Highest Common Factor exercises	Highest Common Factor
3 digit number	3 digit number
4 digit palidrome	4 digit palidrome
BIDMAS exercise	BIDMAS exercise
Subtracting from base 10 exercise	Subtracting from base 10
Multiplying 11 exercise	Multiplying by 11
Multiplying 11,12,13 exercise	Multiplying by 12
Multiplying exercise	Multiplying, base multiplication
Multiplying exercise	Multiplying-vertical crosswise pattern
Squaring exercise	Squaring
Difference of two squares to multiply	Difference of two squares to multiply
Dividing exercise	Dividing by multiples of 5
Multiple of 3,9 and 6 exercise	Showing number is a multiple of 3 and 9
	Exploring indices
Rounding exercise	Rounding to the nearest decimal place , Rounding to the nearest significant figure
Error bounds exercises (decimal place) , Error bounds exercise (significant figures)	Error bounds , Error bounds (significant figures)

Fractions, Decimals, Percentages and Ratios

Practice Paper	Educational tool
Equivalent Fractions	Equivalent Fractions, Decimal fractions Rod fractions
Simplify Fractions exercise	Fractions in Shapes Simplify Fractions
Improper to Mixed Fractions, Mixed Fractions to improper fractions	Improper to Mixed Fractions, Mixed Fractions to improper fractions
Comparing Fractions	Comparing Fractions
Adding Fractions	Adding Fractions using a fractions wall, Fractions applied to Bouncing Balls
Ratio exercises	Ratios, Ratios advanced
Direct Proportion exercises , Inverse Proportion exercises	Balancing balls Direct Proportion , Inverse Proportion , Inverse proportion example
Best buy exercises	Best buy, Best buy dilemma, Bank dilemma, Exchange rate, Exchange rate dilemma
Percentages exercises	Percentages using bar modeling, Understanding percentages through bar models Basic percentages, reverse percentages
Fractions using bar modeling	Fractions using bar modeling
Fractions Advanced	Fractions Advanced
	FDP- Who wants to be a millionnaire?

Expressions, Equations and Inequalities

Practice Paper	Educational tool
Evaluating Expressions	Evaluating Expressions
Solving Equations worksheet	Solving Equations (addition) using Algebra Tiles , Bar modeling-solving equations , Bar modeling-solving equations (advanced)
Solving Equations worksheet	Solving Equations (multiplication) using Algebra Tiles
Solving algebraic fractions Equations worksheet	Solving algebraic fractions using Algebra Tiles
Solving Equations worksheet	Solving Equations (advanced) using Algebra Tiles
Rearranging exercises ,	Rearranging equations , Changing the subject
Show expansion of binomials using algebra tiles	Algebra tiles , Algebra tiles with quadratics
Quadratics exercises , Quadratics exercises advanced	Plotting quadratics, plotting more quadratics , Find the roots of the quadratic graphs , Find the roots of negative quadratic graphs , plotting cubics
Inequality Exercises worksheet	Inequality Exercises worksheet
Simultaneous Equations using bar modeling- bronze	Simultaneous Equations using bar modeling- bronze
Simultaneous Equations using bar modeling- silver	Simultaneous Equations using bar modeling- silver
Series , Arithmetic series	Linear sequence , Arithmetic sequences and it's graph , geometric sequences and it's graph quadratic sequences and it's graph Quadratic sequence , cubic sequence , L shape pattern , triangle pattern , hexagon pattern
Indices combination 2 and 3 , Indices combination 2,3 and third value , Indices , Negative Indices	Negative Indices, Bingo

Geometry

Practice Paper	Educational tool
Angle types	Angle types
Interior and Exterior Angles exercise	Exterior Angles, Ratio between perimeter and diameter- introducing Pi
Bearings exercises	Bearings
Missing Angle Catchphrase , Find the missing angles, Angles on a straight line exercises	Missing Angle Catchphrase, Missing angle on a straight line, Missing angle in a triangle
Constructing Triangles	Constructing Triangles
Straight line exercises	Straight line (easy) , Straight line (medium) , Horizontal graphs , Straight line graphs , Perpendicular line
Straight line and Perpendicular line exercise	Gradient of a line
Equation of a straight line	Equation of a straight line
labelling coordinates, test your labelling	plotting points of a rectangle, isosceles triangle, parallelogram, square
	Area of a rectangle, Golden Ratio Compound rectangle Area of a triangles Compound area Compound area2 Compound area of circles Circumference of a circle Area of a circle Koch snowflake
Volume of Prism exercises	Volume of Prism exercises
Surface area of a prism exercises	Surface area of a prism
Shifting a rectangle , Shifting a triangle	Shifting a rectangle , Shifting a triangle
Reflecting a rectangle , Reflecting a triangle	Reflecting a rectangle , Reflecting a triangle
Enlarging a rectangle , Enlarging a triangle	Enlarging a rectangle , Enlarging a triangle
Rounding exercise	Rounding to the nearest decimal place , Rounding to the nearest significant figure
Distance-time graphs exercises	Distance-time graphs
Rotate a rectangle around the origin , Rotate a triangle around the origin, Rotate a triangle around the origin Rotate any random shape around the origin	Rotate a rectangle around the origin , Rotate a triangle around the origin , Number of rotations for a full circle Unfolding the dragon through rotations
	3D Shapes Properties of 3D shapes 3 lives
Quadrilateral	Quadrilateral 3 lives
	Lines of Symmetry
	Circle Loci

Statistics

Practice Paper	Educational tool
Frequency tables exercises	Tallying , Frequency tables
two-way table exercises	two-way table
Bivariate data exercises	Bivariate data , Correlation with Scatter plots
	Higher or Lower probability game Horse Racing
Ordering data in order to find the median , Using the median to find missing data Use the mean to find missing data

UKMT

Practice Paper	Educational tool
angles	angles
ratios	ratios
sequences	sequences
fractions, fractions (video showing solutions)	fractions, fractions (video showing solutions)
Compound measure	Compound measure
Probability	Probability
Area, Area2, Area3	Area,Area2, Area3
Circles, CirclesKS4	Circles, CirclesKS4
Transformations	Transformations
FDP	FDP
Brain teasers	Brain teasers