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CCEA A-Level Mathematics

A-Level · CCEAMathematics1039 cards

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Flashcards for CCEA GCE Mathematics (2018, subject code 2210), split into the four units (AS 1 and A2 1 Pure Mathematics, AS 2 and A2 2 Applied Mathematics) and then by topic in the specification's order. Delete or suspend the A2 subdecks if you are sitting AS only.

Adding it gives you your own copy, with every subdeck below. Each card then comes back just before you would forget it, and every one you get right or wrong counts towards your mastery of its topic. You can delete or suspend the parts you are not studying once it is yours.

What is inside (60 subdecks)

  • A2 1 Pure Mathematics320 cards
    • 1 Proof by contradiction19 cards
    • 2 Algebra and functions59 cards
      • Rational expressions and functions33 cards
      • The modulus function12 cards
      • Transformations and partial fractions14 cards
    • 3 Coordinate geometry: parametric equations19 cards
    • 4 Sequences and series43 cards
      • Arithmetic and geometric series20 cards
      • Binomial expansion for any rational power14 cards
      • Sequences and their behaviour9 cards
    • 5 Trigonometry66 cards
      • Compound angle and double angle formulae25 cards
      • Radians13 cards
      • Reciprocal and inverse functions20 cards
      • The form r cos(θ ± α)8 cards
    • 6 Differentiation44 cards
      • Implicit and parametric differentiation, and differential equations19 cards
      • Product, quotient and chain rules16 cards
      • Standard derivatives9 cards
    • 7 Integration40 cards
      • Areas, limits of a sum and volumes6 cards
      • Differential equations8 cards
      • Methods of integration13 cards
      • Standard integrals13 cards
    • 8 Numerical methods30 cards
  • A2 2 Applied Mathematics165 cards
    • 1 Mechanics: kinematics and projectiles34 cards
    • 2 Moments26 cards
    • 3 Impulse and momentum26 cards
    • 4 Conditional probability and modelling20 cards
    • 5 The normal distribution27 cards
    • 6 Statistical hypothesis testing32 cards
  • AS 1 Pure Mathematics355 cards
    • 1 Proof and mathematical language28 cards
    • 2 Algebra and functions94 cards
      • Graphs and transformations16 cards
      • Indices and surds24 cards
      • Polynomials12 cards
      • Quadratics23 cards
      • Simultaneous equations and inequalities19 cards
    • 3 Coordinate geometry in the (x, y) plane31 cards
    • 4 Sequences and series: the binomial expansion29 cards
    • 5 Trigonometry48 cards
    • 6 Exponentials and logarithms44 cards
    • 7 Differentiation35 cards
    • 8 Integration23 cards
    • 9 Vectors23 cards
  • AS 2 Applied Mathematics199 cards
    • 1 Mechanics: quantities and units18 cards
    • 2 Kinematics28 cards
    • 3 Forces and Newton's laws37 cards
    • 4 Statistical sampling27 cards
    • 5 Data presentation and interpretation48 cards
      • Bivariate data and correlation17 cards
      • Cleaning data7 cards
      • Diagrams and summary measures13 cards
      • Standard deviation and variance11 cards
    • 6 Probability23 cards
    • 7 Statistical distributions: the binomial distribution18 cards

Some of its cards

  • What is am×ana^m \times a^n?
    am+na^{m+n}
  • How do you simplify a rational expression?
    Factorise the numerator and denominator and cancel common factors
  • State the addition law for two events.
    P(A∪B)=P(A)+P(B)−P(A∩B)P(A\cup B)=P(A)+P(B)-P(A\cap B)
  • How can you show a root of f(x)=0f(x)=0 lies between aa and bb?
    Show f(a)f(a) and f(b)f(b) have opposite signs, with ff continuous on the interval
  • Find dxdt\dfrac{dx}{dt} and dydt\dfrac{dy}{dt} for x=3t2x=3t^2, y=t3−1y=t^3-1.
    dxdt=6t\dfrac{dx}{dt}=6t and dydt=3t2\dfrac{dy}{dt}=3t^2
  • State the calculus link between displacement and velocity.
    v=dsdtv=\dfrac{ds}{dt}
  • What does the gradient of a displacement-time graph give?
    Velocity
  • In a histogram, what does the area of a bar represent?
    Frequency
  • What is a recurrence relation?
    A rule giving each term from the previous term, un+1=f(un)u_{n+1}=f(u_n)
  • What is the definition of ∣x∣|x|?
    xx if x≥0x\ge0 and −x-x if x<0x<0

And 1029 more once you add the deck.