Further Mathematics revision notes

WAEC and JAMB · SS2 and SS3 · 9 topics

Every topic below is written for the WAEC and JAMB syllabus: what you need to know, the key terms, a worked example with the steps shown, and the mistake that costs candidates the mark.

• Sets, surds, indices and logarithms Every Further Mathematics paper opens with two or three questions from this area, and they are the cheapest…
• Polynomials, remainder and factor theorems This topic is a guaranteed appearance on paper one, usually as find the unknown constants, then factorise…
• Sequences, series and binomial expansion Arithmetic and geometric progressions appear in almost every paper, and the binomial theorem is a reliable…
• Matrices and determinants Matrices give easy marks for multiplication and inverses, then test you on solving simultaneous equations…
• Vectors in two dimensions Vectors carry a full question on most papers, usually magnitude, unit vector and the angle between two…
• Trigonometry: identities and equations Trigonometry is the heaviest-scoring area of Further Mathematics and the one candidates prepare least. Nearly…
• Differentiation and its applications Differentiation is worth more marks than any other single topic in Further Mathematics, because the rules are…
• Integration and area under a curve Integration reverses differentiation and is examined both as straight calculation and as area. Candidates who…
• Statistics, permutations and probability This section closes most papers and is the easiest place to pick up full marks, provided you are organised…