Maths study guides

An overview of the O-Level E-Maths Coordinate Geometry and Vectors strand (SEAB 4052). The distance, midpoint and gradient between two points, the equation of a straight line with the parallel and perpendicular conditions, two-dimensional column vectors with addition, subtraction, scalar multiplication and magnitude, and vector geometry with position vectors, with links to every dot point.

An overview of the O-Level E-Maths Equations and Inequalities strand (SEAB 4052). Solving linear and simultaneous equations, handling linear inequalities and the sign-reversal rule, solving quadratics by factorisation, by the quadratic formula and by completing the square, and turning worded problems into equations, with links to every dot point.

An overview of the O-Level E-Maths Functions and Graphs strand (SEAB 4052). Straight-line graphs and the equation y equals mx plus c, the parabola of a quadratic function, the standard cubic, reciprocal and exponential curves, solving equations graphically, and reading speed, acceleration and distance from travel graphs, with links to every dot point.

An overview of the O-Level E-Maths Geometry strand (SEAB 4052). Angle properties of parallel lines, triangles and polygons, the circle theorems on angles, cyclic quadrilaterals and tangents, Pythagoras theorem and its converse, congruence and similarity with scale factors, and geometric constructions and loci, with links to every dot point.

An overview of the O-Level E-Maths Mensuration and Trigonometry strand (SEAB 4052). Area and perimeter of plane figures, arc length and sector area, volume and surface area of prisms, cylinders, cones, pyramids and spheres, right-angled trigonometry with elevation and depression, and the sine and cosine rules for any triangle, with links to every dot point.

An overview of the O-Level E-Maths Number and Algebra strand (SEAB 4052). The arithmetic toolkit (the four operations, indices and standard form), the language of comparison (ratio, rate and proportion, percentages and money), and the algebra (manipulation and factorisation) that the rest of the syllabus is built on, with links to every dot point.

An overview of the O-Level E-Maths Statistics and Probability strand (SEAB 4052). The mean, median and mode and the range, statistical diagrams from bar charts to histograms and stem-and-leaf plots, the cumulative frequency curve with median, quartiles and interquartile range, and the probability of single and combined events with tree diagrams, with links to every dot point.