Further Maths Exam Questions By Topic - A Level Maths Revision

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Year	Strand		Questions	Mark Schemes
Y1 Further	Mech	Circular Motion	Horizontal Circular Motion	MS
Y1 Further	Mech	Circular Motion	Vertical Circular Motion	MS
Y1 Further	Mech	Collisions	Conservation of Momentum	MS
Y1 Further	Mech	Collisions	Coefficient of Restitution	MS
Y1 Further	Mech	Dimensional Analysis	Dimensional Analysis	MS
Y1 Further	Mech	Work, Energy and Power	Work, Energy and Power	MS
Y1 Further	Pure	Complex Numbers	Complex Numbers – Basic Operations	MS
Y1 Further	Pure	Complex Numbers	Complex Numbers – Square Roots of Complex Numbers	MS
Y1 Further	Pure	Complex Numbers	Complex Numbers – The Argand Diagram and Loci	MS
Y1 Further	Pure	Matrices	Matrices – Operations, Determinants and Inverses	MS
Y1 Further	Pure	Matrices	Matrices – 3×3 Determinants and Inverses	MS
Y1 Further	Pure	Matrices	Matrices – Solving Simultaneous Equations	MS
Y1 Further	Pure	Matrices	Matrices – 2×2 Transformations	MS
Y1 Further	Pure	Matrices	Matrices – 3×3 Transformations	MS
Y1 Further	Pure	Matrices	Matrices – Invariant Points and Lines	MS
Y1 Further	Pure	Proof By Induction	Proof By Induction (Matrices)	MS
Y1 Further	Pure	Proof By Induction	Proof By Induction (Divisibility)	MS
Y1 Further	Pure	Proof By Induction	Proof By Induction (Inductive Sequences)	MS
Y1 Further	Pure	Proof By Induction	Proof By Induction (Inequalities)	MS
Y1 Further	Pure	Roots of Polynomials	Roots of Polynomials	MS
Y1 Further	Pure	Vectors	Vectors	MS
Y1 Further	Stats	Combinatorics	Permutations and Combinations	MS
Y1 Further	Stats	Distributions	Discrete Random Variables	MS
Y1 Further	Stats	Distributions	Expectation and Variance of Linear Transformations of Discrete Random Variables	MS
Y1 Further	Stats	Distributions	Binomial Distribution	MS
Y1 Further	Stats	Distributions	Geometric Distribution	MS
Y1 Further	Stats	Distributions	Discrete Uniform Distribution	MS
Y1 Further	Stats	Distributions	Poisson Distribution	MS
Y1 Further	Stats	Hypothesis Testing	Chi Squared Tests (Contingency Tables)	MS
Y1 Further	Stats	Hypothesis Testing	Chi Squared Tests (Goodness of Fit) (Year 1)	MS
Y1 Further	Stats	Hypothesis Testing and Linear Regression	Hypothesis Tests for Linear Correlation	MS
Y1 Further	Stats	Linear Regression	Least Squares Regression Line	MS
Y2 Further	Mech	Centres of Mass	Centres Of Mass	MS
Y2 Further	Mech	Centres of Mass	Centres of Mass Involving Integration	MS
Y2 Further	Mech	Circular Motion	Problem Solving With Circular Motion	MS
Y2 Further	Mech	Collisions	Oblique Collisions	MS
Y2 Further	Mech	Differential Equations	Linear Motion With Variable Acceleration	MS
Y2 Further	Mech	Forces and Energy	Hooke’s Law	MS
Y2 Further	Pure	Calculus	Differentiation of Inverse Trigonometric and Hyperbolic Functions	MS
Y2 Further	Pure	Calculus	Integration Involving Trigonometric and Hyperbolic Functions	MS
Y2 Further	Pure	Calculus	Volumes of Revolution	MS
Y2 Further	Pure	Calculus	Improper Integrals	MS
Y2 Further	Pure	Calculus	Partial Fractions and Integration	MS
Y2 Further	Pure	Complex Numbers	Complex Roots Of Equations and Using Exponential and Polar Form	MS
Y2 Further	Pure	Complex Numbers	DeMoivre’s Theorem and Applications To Trigonometry	MS
Y2 Further	Pure	Proof By Induction	Summations (Proof By Induction)	MS
Y2 Further	Pure	Proof By Induction	Proof By Induction (Challenging)	MS
Y2 Further	Pure	Differential Equations	First Order Differential Equations	MS
Y2 Further	Pure	Differential Equations	First Order Differential Equations Involving Substitutions	MS
Y2 Further	Pure	Differential Equations	Second Order Differential Equations	MS
Y2 Further	Pure	Differential Equations	Applied First Order Differential Equations	MS
Y2 Further	Pure	Differential Equations	Simple, Forced and Damped Harmonic Motion	MS
Y2 Further	Pure	Differential Equations	Coupled Simultaneous First Order Differential Equations	MS
Y2 Further	Pure	Hyperbolics	Hyperbolic Identities and Equations	MS
Y2 Further	Pure	Series	Summations (Proof By Induction)	MS
Y2 Further	Pure	Series	Summations (Method Of Differences)	MS
Y2 Further	Pure	Series	Summations (Standard Formulae)	MS
Y2 Further	Pure	Series	Maclaurin Expansion	MS
Y2 Further	Pure	Vectors	Lines and Planes (Equations, Angles Between and Intersection)	MS
Y2 Further	Pure	Vectors	Polar Coordinates	MS
Y2 Further	Pure	Vectors	Distance Between Planes and Lines	MS
Y2 Further	Pure	Vectors and Matrices	Matrices, Simultaneous Equations and Applications to Intersections of Planes	MS
Y2 Further	Stats	Confidence Intervals	Confidence Intervals for the Mean of a Sampling Distribution	MS
Y2 Further	Stats	Distributions	Geometric Distribution Questions (with Year 2 Content)	MS
Y2 Further	Stats	Distributions	Continuous Random Variables (Mean, Variance and Median)	MS
Y2 Further	Stats	Distributions	Continuous Random Variables (Cumulative Distributions)	MS
Y2 Further	Stats	Distributions	Continuous Uniform Distribution	MS
Y2 Further	Stats	Distributions	Continuous Random Variables (Functions of CRVs)	MS
Y2 Further	Stats	Distributions	Exponential Distribution	MS
Y2 Further	Stats	Distributions	Combinations of Continuous Random Variables	MS
Y2 Further	Stats	Hypothesis Testing	Chi Squared Tests (Goodness of Fit) (Year 2)	MS
Y2 Further	Stats	Hypothesis Testing	Single Sample and Paired Sample Sign Tests	MS
Y2 Further	Stats	Hypothesis Testing	Wilcoxon Single Sample and Paired Sample Hypothesis Tests	MS
Y2 Further	Stats	Hypothesis Testing	Wilcoxon Rank Sum Tests	MS
Y2 Further	Stats	Hypothesis Testing	Using Central Limit Theorem	MS
Y2 Further	Stats	Hypothesis Testing	Hypothesis Tests Requiring Unbiased Estimators and Central Limit Theorem	MS