Mathematics (Syllabus D) revision notes

One chapter for each section of the 4024 syllabus, with worked examples. Read a chapter, then practise it with real past-paper questions.

1. 1NumberTypes of numbers, HCF and LCM, sets and Venn diagrams, powers and roots, fractions, decimals and percentages, indices, standard form, estimation and bounds, ratio, rates, interest, surds and rationalising the denominator.27 min read
2. 2Algebra and GraphsAlgebraic manipulation and factorising, algebraic fractions, equations and inequalities, sequences, proportion, functions, and drawing and reading graphs.35 min read
3. 3Coordinate GeometryThe length and midpoint of a line, the equation of a straight line, and parallel and perpendicular lines, including the perpendicular bisector.5 min read
4. 4GeometryThe vocabulary of shapes, triangles, quadrilaterals, polygons, solids and circles, constructing triangles, nets, similarity, symmetry, and the angle and circle theorems.17 min read
5. 5MensurationUnits of measure and conversions, perimeter and area, circles, sectors and arcs, and the surface area and volume of solids, including compound shapes, similar solids and frustums.10 min read
6. 6TrigonometryPythagoras' theorem, sine, cosine and tangent in right-angled triangles, and the sine rule, cosine rule and area rule for any triangle.4 min read
7. 7Transformations and VectorsReflection, rotation, translation and enlargement of shapes, with the coordinate rules for each, and vector addition, magnitude, parallel vectors and collinear points.10 min read
8. 8ProbabilityThe probability scale, calculating probabilities, relative and expected frequency, and combined events using sample space diagrams, Venn diagrams and tree diagrams, with and without replacement.8 min read
9. 9StatisticsTwo-way and tally tables, bar charts, pie charts, pictograms, scatter diagrams, histograms and cumulative frequency, then the mean, median, mode, range and quartiles, with grouped data and exam-style questions.15 min read