Mathematics

Work through the topics in order, or jump to the one you need.

  1. Number & Numeration Number bases, modular arithmetic, standard form, significant figures and percentage error, ratio and proportion, percentages, simple and compound interest, profit, loss and business arithmetic, and arithmetic and geometric progressions.
  2. Indices & Logarithms The six laws of indices, fractional and negative powers, indicial equations, simplifying and rationalising surds, and the laws of logarithms, with WAEC worked examples.
  3. Sets & Variation Set notation, subsets, Venn diagram regions, two-set and three-set word problems, and direct, inverse, joint and partial variation with their graphs and WAEC worked examples.
  4. Algebra Simplifying and substituting, expanding brackets and special products, factorising, solving simultaneous linear equations (with word problems), and splitting fractions into partial fractions, with WAEC worked examples. 🎥 1 video
  5. Quadratic Equations Solving ax² + bx + c = 0 three ways, the discriminant and nature of roots, sum and product of roots, forming equations from roots, word problems, and linear–quadratic simultaneous equations, with WAEC worked examples. 🎥 1 video
  6. Geometry & Mensuration Angles and parallel lines, triangles and Pythagoras, polygons, circle theorems, chords and tangents, arc length and sector area, and the surface areas and volumes of cylinders, cones, spheres and prisms, with WAEC worked examples.
  7. Coordinate Geometry Plotting points, the gradient of a line, the distance between two points, the midpoint, equations of straight lines (y = mx + c and y − y₁ = m(x − x₁)), parallel and perpendicular lines, and intercepts, with WAEC worked examples. 🎥 1 video
  8. Trigonometry Naming the sides and SOHCAHTOA, exact values of 30°, 45° and 60°, angles of elevation and depression, three-figure bearings and back bearings, the sine rule (including the ambiguous case), the cosine rule, and how to choose the right method. 🎥 1 video
  9. Statistics & Probability Frequency tables, bar charts, pie charts and histograms; mean, median and mode for ungrouped and grouped data; range, mean deviation, variance and standard deviation; the ogive and quartiles; and probability with the addition and multiplication rules and tree diagrams.
  10. Calculus Differentiation (first principles, the power, product, quotient and chain rules), tangents and normals, velocity and acceleration, maximum and minimum points and optimisation; then integration (indefinite and definite integrals), finding a curve, area under and between curves, and motion, with WAEC