Secondary 3–4 · G3 E-Math notes
Elementary Mathematics
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1
Indices & Standard FormLight travels 9 460 730 472 580 800 metres in a year; a hydrogen atom's radius is about 0.000 000 000 053 m.Open chapter ›
2
Quadratic Equations & GraphsA linear equation has one answer; a quadratic usually has two, and this chapter is about getting both, in the form the paper asks for.Open chapter ›
3
Linear InequalitiesAn equation pins a variable to one value; an inequality pins it to a whole range — every seat a bus can still take, every price inside a budget.Open chapter ›
4
Graphs of FunctionsEvery curve in this chapter belongs to one small family, and the paper expects you to know each shape on sight.Open chapter ›
5
SetsThis chapter is made almost entirely of symbols.Open chapter ›
6
MatricesA matrix is information laid out in a rectangle of brackets: the rows mean one thing, the columns another.Open chapter ›
7
Congruence & SimilarityTwo shapes are congruent when one is a copy of the other, and similar when one is a photocopy at another zoom.Open chapter ›
8
Properties of CirclesA circle's symmetry pays out as nine facts — four about chords and tangents, five about angles — and each one turns a picture into an equation.Open chapter ›
9
TrigonometrySecondary Two trigonometry needed a right angle.Open chapter ›
10
Arc, Sector & Radian MeasureCut a circle, and the angle at the centre says how much of it you are holding: an arc is that fraction of the circumference, a sector that fraction of the area.Open chapter ›
11
Coordinate GeometryGive a point two numbers and geometry turns into arithmetic.Open chapter ›
12
Vectors in Two DimensionsSome quantities need a direction as well as a size — "walk 400 m" is not instructions, "walk 400 m north-east" is.Open chapter ›
13
Statistical Data AnalysisEighty numbers are unreadable. One number — a median, a mean, an interquartile range, a standard deviation — is readable, and so is one picture.Open chapter ›
14
Probability of Combined EventsOne coin, one die, one card — that was Secondary 2.Open chapter ›
15
Problems in Real-World ContextsThe last question of Paper 2 announces nothing.Open chapter ›