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Cambridge International A-Level Mathematics

A-Level · Cambridge International (CAIE)Mathematics825 cards

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Flashcards for Cambridge International AS & A Level Mathematics (9709), split into the five components Pure Mathematics 1, Pure Mathematics 3, Mechanics, Probability & Statistics 1 and Probability & Statistics 2, then by topic in the syllabus's own order. Pure Mathematics 3 also covers the shorter Pure Mathematics 2 route, which is a subset of it. Where it matters, a card says whether a result is in the MF19 formula list given in the exam or has to be recalled.

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 (37 subdecks)

  • Mechanics128 cards
    • 4.1 Forces and equilibrium24 cards
    • 4.2 Kinematics of motion in a straight line31 cards
    • 4.3 Momentum14 cards
    • 4.4 Newton's laws of motion30 cards
    • 4.5 Energy, work and power29 cards
  • Probability & Statistics 1138 cards
    • 5.1 Representation of data34 cards
    • 5.2 Permutations and combinations24 cards
    • 5.3 Probability28 cards
    • 5.4 Discrete random variables28 cards
    • 5.5 The normal distribution24 cards
  • Probability & Statistics 2117 cards
    • 6.1 The Poisson distribution22 cards
    • 6.2 Linear combinations of random variables22 cards
    • 6.3 Continuous random variables21 cards
    • 6.4 Sampling and estimation28 cards
    • 6.5 Hypothesis tests24 cards
  • Pure Mathematics 1210 cards
    • 1.1 Quadratics28 cards
    • 1.2 Functions24 cards
    • 1.3 Coordinate geometry26 cards
    • 1.4 Circular measure18 cards
    • 1.5 Trigonometry28 cards
    • 1.6 Series28 cards
    • 1.7 Differentiation32 cards
    • 1.8 Integration26 cards
  • Pure Mathematics 3 (also covers Pure Mathematics 2)232 cards
    • 3.1 Algebra26 cards
    • 3.2 Logarithmic and exponential functions24 cards
    • 3.3 Trigonometry27 cards
    • 3.4 Differentiation28 cards
    • 3.5 Integration30 cards
    • 3.6 Numerical solution of equations16 cards
    • 3.7 Vectors27 cards
    • 3.8 Differential equations18 cards
    • 3.9 Complex numbers36 cards

Some of its cards

  • E(aX+b)=E(aX+b) = [...].
    E(aX+b)=E(aX+b) = aE(X)+baE(X)+b.
  • What must be true of the probabilities in a probability distribution table for a discrete random variable XX?
    They must all be non-negative and sum to 11
  • How do you calculate the probability of an event made up of equiprobable elementary outcomes?
    Divide the number of favourable outcomes by the total number of possible outcomes
  • What does Newton's second law state for a particle of constant mass?
    F=maF = ma, where FF is the resultant force
  • What advantage does a stem-and-leaf diagram have over a histogram?
    It keeps every individual data value visible while still showing the shape of the distribution
  • The work done by a constant force FF whose point of application moves a distance dd at angle θ\theta to the force is W=W = [...].
    The work done by a constant force FF whose point of application moves a distance dd at angle θ\theta to the force is W=W = Fdcos⁡θFd\cos\theta.
  • What is the discriminant of the quadratic ax2+bx+cax^2 + bx + c?
    b2−4acb^2 - 4ac
  • What does ∣x∣|x| mean?
    The modulus of xx: its distance from zero, always non-negative
  • What is the period of y=sin⁡xy = \sin x, in degrees?
    360°360°
  • If y=axy = a^x, how is xx written in terms of a logarithm?
    x=log⁡ayx = \log_a y

And 815 more once you add the deck.