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SQA Higher Mathematics

Higher · SQAMathematics484 cards

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Flashcards for SQA Higher Mathematics (C847 76), split into the course specification's four skill areas and then by topic in its order. A card's extra note says whether a formula is printed on the exam's own formulae list or must be recalled, so worked examples use their own numbers throughout.

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 (17 subdecks)

  • 1 Algebraic and trigonometric skills213 cards
    • 1.1 Polynomials40 cards
    • 1.2 Quadratics37 cards
    • 1.3 Logarithms and exponentials39 cards
    • 1.4 Functions and graphs40 cards
    • 1.5 Trigonometric formulae and equations57 cards
  • 2 Geometric skills47 cards
    • 2.1 Vectors47 cards
  • 3 Calculus skills127 cards
    • 3.1 Differentiation49 cards
    • 3.2 Applications of differentiation26 cards
    • 3.3 Integration30 cards
    • 3.4 Applications of integration22 cards
  • 4 Algebraic and geometric skills97 cards
    • 4.1 The straight line37 cards
    • 4.2 The circle37 cards
    • 4.3 Sequences and recurrence relations23 cards

Some of its cards

  • State the addition formula for sin⁡(A+B)\sin(A + B).
    sin⁡Acos⁡B+cos⁡Asin⁡B\sin A \cos B + \cos A \sin B
  • What does dydx\frac{dy}{dx} represent for a curve y=f(x)y = f(x)?
    The gradient of the curve (the gradient of the tangent) at a given point
  • What is the general form of a linear recurrence relation?
    un+1=aun+bu_{n+1} = au_n + b
  • State the formula for the gradient of a line through (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2).
    m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}
  • What kind of quantity is a vector?
    One with both magnitude (size) and direction
  • What is meant by the domain of a function?
    The set of values the function can take as its input
  • What does it mean to integrate a function?
    To find a function whose derivative is the given function (the reverse of differentiation)
  • State the law of logarithms for log⁡ax+log⁡ay\log_a x + \log_a y.
    log⁡a(xy)\log_a(xy)
  • How do you find the area between a curve y=f(x)y = f(x) and the x-axis from x=ax = a to x=bx = b, when the curve lies entirely above the axis?
    Calculate ∫abf(x) dx\int_a^b f(x)\,dx
  • What is the general strategy for solving an optimisation problem using calculus?
    Write the quantity to be optimised as a function of one variable, differentiate, set the derivative to 0, and solve

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