Quiz

Edexcel A-Level Further Maths Quiz

Quick multiple-choice questions to check what stuck.

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1Core Pure: Proof1 subtopics
- 1.1Proof by mathematical induction
2Core Pure: Complex numbers5 subtopics
3Core Pure: Matrices4 subtopics
4Core Pure: Further algebra and functions4 subtopics
5Core Pure: Further calculus4 subtopics
6Core Pure: Further vectors3 subtopics
7Core Pure: Polar coordinates2 subtopics
- 7.1–2Polar coordinates and polar curves
- 7.3Area enclosed by a polar curve
8Core Pure: Hyperbolic functions3 subtopics
9Core Pure: Differential equations4 subtopics
1Further Pure 1: Further trigonometry1 subtopics
- 1.1–3The t-formulae
2Further Pure 1: Further calculus3 subtopics
3Further Pure 1: Further differential equations1 subtopics
- 3.1–2Series solutions and reducible differential equations
4Further Pure 1: Coordinate systems2 subtopics
- 4.1–4Parabola and rectangular hyperbola
- 4.1–4Ellipse and hyperbola
5Further Pure 1: Further vectors2 subtopics
- 5.1–2Vector product and scalar triple product
- 5.3Applications of vectors to 3-D geometry
6Further Pure 1: Further numerical methods2 subtopics
- 6.1Numerical solution of differential equations
- 6.2Simpson's rule
7Further Pure 1: Inequalities1 subtopics
- 7.1Algebraic inequalities
1Further Pure 2: Groups3 subtopics
2Further Pure 2: Further calculus2 subtopics
- 2.1Reduction formulae
- 2.2Arc length and area of a surface of revolution
3Further Pure 2: Further matrix algebra2 subtopics
- 3.1Eigenvalues and eigenvectors
- 3.2–3Diagonalisation and the Cayley-Hamilton theorem
4Further Pure 2: Further complex numbers2 subtopics
- 4.1Further loci and regions in the Argand diagram
- 4.2Transformations from the z-plane to the w-plane
5Further Pure 2: Number theory4 subtopics
6Further Pure 2: Further sequences and series2 subtopics
- 6.1–3First-order recurrence relations
- 6.1–3Second-order recurrence relations
1Further Statistics 1: Discrete probability distributions1 subtopics
- 1.1Mean and variance of discrete distributions
2Further Statistics 1: Poisson and binomial distributions2 subtopics
- 2.1The Poisson distribution
- 2.2–3Mean, variance and Poisson approximation to the binomial
3Further Statistics 1: Geometric and negative binomial distributions2 subtopics
- 3.1–2The geometric distribution
- 3.3The negative binomial distribution
4Further Statistics 1: Hypothesis testing2 subtopics
- 4.1Hypothesis test for the mean of a Poisson distribution
- 4.2Hypothesis test for the parameter of a geometric distribution
5Further Statistics 1: Central limit theorem1 subtopics
- 5.1The Central Limit Theorem
6Further Statistics 1: Chi squared tests1 subtopics
- 6.1Goodness of fit tests and contingency tables
7Further Statistics 1: Probability generating functions1 subtopics
- 7.1–3Probability generating functions
8Further Statistics 1: Quality of tests1 subtopics
- 8.1Type I and Type II errors and power
1Further Statistics 2: Linear regression1 subtopics
- 1.1–2Least squares regression and residuals
2Further Statistics 2: Continuous probability distributions3 subtopics
3Further Statistics 2: Correlation2 subtopics
- 3.1–2Product moment and Spearman's rank correlation
- 3.3Testing for zero correlation
4Further Statistics 2: Combinations of random variables1 subtopics
- 4.1Linear combinations of Normal random variables
5Further Statistics 2: Estimation, confidence intervals and tests using a Normal distribution3 subtopics
6Further Statistics 2: Other hypothesis tests and confidence intervals1 subtopics
- 6.1–2Variance of a Normal distribution and the F-test
7Further Statistics 2: Confidence intervals and tests using the t distribution2 subtopics
- 7.1–2t tests for a mean and the paired t-test
- 7.3Difference between two means: pooled t-test
1Further Mechanics 1: Momentum and impulse2 subtopics
- 1.1Momentum and impulse in one dimension
- 1.2Momentum and impulse as vectors
2Further Mechanics 1: Work, energy and power1 subtopics
- 2.1Work, energy and power
3Further Mechanics 1: Elastic strings and springs2 subtopics
- 3.1Hooke's law
- 3.2Elastic energy and the work-energy principle
4Further Mechanics 1: Elastic collisions in one dimension2 subtopics
- 4.1Direct impact and Newton's law of restitution
- 4.2Successive direct impacts
5Further Mechanics 1: Elastic collisions in two dimensions2 subtopics
- 5.1Oblique impact
- 5.2Successive oblique impacts
1Further Mechanics 2: Motion in a circle2 subtopics
- 1.1Horizontal circular motion
- 1.2Vertical circular motion
2Further Mechanics 2: Centres of mass of plane figures2 subtopics
- 2.1Moments and centres of mass of discrete masses
- 2.2Centres of mass of plane figures and equilibrium of a lamina
3Further Mechanics 2: Further centres of mass and equilibrium2 subtopics
- 3.1Centres of mass of rigid bodies
- 3.2–3Equilibrium, toppling and sliding
4Further Mechanics 2: Further dynamics2 subtopics
- 4.1Variable forces and motion in one dimension
- 4.2Simple harmonic motion
5Further Mechanics 2: Further kinematics1 subtopics
- 5.1Variable acceleration in one dimension
1Decision Mathematics 1: Algorithms and graph theory3 subtopics
2Decision Mathematics 1: Algorithms on graphs3 subtopics
3Decision Mathematics 1: Algorithms on graphs II2 subtopics
- 3.1The Route Inspection (Chinese Postman) problem
- 3.2The Travelling Salesman problem
4Decision Mathematics 1: Critical path analysis3 subtopics
5Decision Mathematics 1: Linear programming4 subtopics
1Decision Mathematics 2: Transportation problems1 subtopics
- 1.1–3Transportation problems
2Decision Mathematics 2: Allocation (assignment) problems2 subtopics
- 2.1The Hungarian algorithm
- 2.2Hungarian algorithm as a linear programme
3Decision Mathematics 2: Flows in networks2 subtopics
- 3.1–3Cuts, labelling procedure and max-flow min-cut
- 3.4–5Multiple sources and sinks, restricted capacities and optimal flow
4Decision Mathematics 2: Dynamic programming1 subtopics
- 4.1Dynamic programming
5Decision Mathematics 2: Game theory3 subtopics
6Decision Mathematics 2: Recurrence relations2 subtopics
- 6.1–2First-order recurrence relations
- 6.2Second-order recurrence relations
7Decision Mathematics 2: Decision analysis1 subtopics
- 7.1–2Decision trees and expected monetary value