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South African NSC Mathematics

NSC · DBEMathematics730 cards

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Flashcards for South African National Senior Certificate Mathematics, split into Paper 1 (algebra, number patterns, functions and graphs, finance, differential calculus and probability) and Paper 2 (statistics, analytical geometry, trigonometry and Euclidean geometry), each then by topic. Follows the CAPS Mathematics curriculum for Grades 10 to 12 and the current Grade 12 examination guidelines, with the examinable Euclidean geometry theorems given their accepted reason wording.

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 (63 subdecks)

  • Paper 1380 cards
    • 1 Algebra, equations and inequalities68 cards
      • 1.1 Exponents and surds25 cards
      • 1.2 Quadratic equations and the nature of roots18 cards
      • 1.3 Simultaneous and exponential equations11 cards
      • 1.4 Inequalities14 cards
    • 2 Number patterns, sequences and series61 cards
      • 2.1 Arithmetic sequences and series18 cards
      • 2.2 Geometric sequences and series20 cards
      • 2.3 Quadratic number patterns15 cards
      • 2.4 Sigma notation8 cards
    • 3 Functions and graphs85 cards
      • 3.1 Function concepts and notation10 cards
      • 3.2 Linear and quadratic functions15 cards
      • 3.3 Hyperbolic and exponential functions15 cards
      • 3.4 Logarithmic functions15 cards
      • 3.5 Inverse functions10 cards
      • 3.6 Transformations of graphs12 cards
      • 3.7 Average gradient and rate of change8 cards
    • 4 Finance, growth and decay48 cards
      • 4.1 Simple and compound interest14 cards
      • 4.2 Nominal and effective interest rates10 cards
      • 4.3 Annuities and loans16 cards
      • 4.4 Depreciation8 cards
    • 5 Differential calculus66 cards
      • 5.1 Limits and first principles12 cards
      • 5.2 Rules of differentiation12 cards
      • 5.3 Tangents and normals8 cards
      • 5.4 Cubic graphs and turning points20 cards
      • 5.5 Optimisation and rates of change14 cards
    • 6 Probability52 cards
      • 6.1 Venn diagrams and set notation14 cards
      • 6.2 Dependent, independent and mutually exclusive events14 cards
      • 6.3 Tree diagrams and contingency tables10 cards
      • 6.4 Counting principles14 cards
  • Paper 2350 cards
    • 7 Statistics56 cards
      • 7.1 Measures of central tendency and dispersion18 cards
      • 7.2 Five-number summary and box and whisker diagrams12 cards
      • 7.3 Histograms, frequency polygons and ogives10 cards
      • 7.4 Bivariate data and regression16 cards
    • 8 Analytical geometry68 cards
      • 8.1 Distance, gradient and midpoint14 cards
      • 8.2 Equations of lines16 cards
      • 8.3 Inclination of a line8 cards
      • 8.4 The equation of a circle18 cards
      • 8.5 Tangents to a circle12 cards
    • 9 Trigonometry112 cards
      • 9.1 Trigonometric ratios and special angles18 cards
      • 9.2 Reduction formulae and identities22 cards
      • 9.3 Trigonometric equations and general solutions14 cards
      • 9.4 Compound and double angle identities16 cards
      • 9.5 Trigonometric graphs16 cards
      • 9.6 Sine, cosine and area rules14 cards
      • 9.7 2D and 3D problems12 cards
    • 10 Euclidean geometry and measurement114 cards
      • 10.1 Measurement14 cards
      • 10.2 Circle theorems: lines from the centre12 cards
      • 10.3 Circle theorems: angles in a circle20 cards
      • 10.4 Cyclic quadrilaterals12 cards
      • 10.5 Tangents to a circle16 cards
      • 10.6 Proportion and similarity22 cards
      • 10.7 Quadrilaterals and areas18 cards

Some of its cards

  • State the theorem relating the angle at the centre and the angle at the circumference, subtended by the same arc.
    The angle at the centre is double the angle at the circumference, when both are measured from the arc on the centre's side of the chord.
  • What is bivariate data?
    Data that records two variables for each item, so their relationship can be studied.
  • How does the graph of y=−f(x)y=-f(x) compare with the graph of y=f(x)y=f(x)?
    It is the reflection of f in the x-axis.
  • What is the definition of the derivative of f at x, from first principles?
    f′(x)=lim⁡h→0f(x+h)−f(x)hf'(x) = \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}
  • What is the power rule for differentiating xnx^n?
    ddx[xn]=nxn−1\dfrac{d}{dx}\left[x^n\right] = nx^{n-1}
  • What does a histogram show?
    The frequency of data within each class interval, drawn as bars with no gaps between them.
  • What is a function?
    A relation in which every input value (x) has exactly one output value (y).
  • What is the formula for the nth term of an arithmetic sequence?
    Tn=a+(n−1)dT_n = a + (n-1)d
  • sin⁡2θ+cos⁡2θ\sin^2\theta + \cos^2\theta
    1
  • State the theorem about opposite angles of a cyclic quadrilateral.
    They are supplementary: they add up to 180°180°.

And 720 more once you add the deck.