The Hyperbola and Its Asymptotes
Read a hyperbola from its equation — both asymptotes, the shape, the axes of symmetry and its domain and range — and sketch it with confidence.
Apply the addition rule, tell independent from mutually exclusive, read a Venn or tree diagram, and count arrangements without listing them.
By the end, you can
apply the probability rules, use diagrams to organise information and count arrangements correctly.
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Probability — Rules, Venn Diagrams and Counting
Two words that are not the same
Mutually exclusive and independent sound similar, get used interchangeably in conversation, and mean completely different things. Most probability marks are lost on that confusion. 🎲
Getting them straight is most of this topic.
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Probability — Rules, Venn Diagrams and Counting
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Next on the Mathematics P1 path · step 10 of 11
Simultaneous Equations and Algebraic Substitution
13 min · R19
Read a hyperbola from its equation — both asymptotes, the shape, the axes of symmetry and its domain and range — and sketch it with confidence.
Work through quadratics, the formula, surd equations and inequalities with a method you can trust under pressure, and learn where marks are usually lost.
Tell arithmetic patterns from quadratic ones using differences, build the general term for each, and read sigma notation without panic.
Use the first and second derivatives to analyse a cubic graph, locate turning and inflection points, and build the equation of a tangent.
Differentiate from first principles when asked, apply the power rule everywhere else, and know what a derivative actually tells you about a graph.
The whole Mathematics P1 path → All High School MicroQuests → Browse all 134 →
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Probability — Rules, Venn Diagrams and Counting
R19 · 14 min · certificate