Further Mathematics

JAMB WAEC NECO Post-UTME

Senior secondary Further Mathematics for WAEC, NECO and Post-UTME: advanced pure mathematics — algebra, sequences and series, trigonometry, coordinate geometry, calculus and vectors — together with statistics, probability and mechanics. Built for students who need the extra depth beyond core Mathematics for science and engineering courses.

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Levels

1 Algebra — Sets, Surds, Indices & Polynomials
2 Sequences, Series & the Binomial Theorem
3 Trigonometry & Coordinate Geometry
4 Calculus & Vectors
5 Statistics, Probability & Mechanics

Topics covered

Sets and Binary Operations Surds, Indices and Logarithms Polynomials, Remainder and Factor Theorems Partial Fractions Arithmetic and Geometric Progressions The Binomial Theorem Matrices and Determinants Linear and Quadratic Inequalities Trigonometric Identities and Equations Compound Angles and the Sine and Cosine Rules Coordinate Geometry of the Line and Circle Vectors in Two Dimensions Differentiation and Its Applications Integration and Its Applications Measures of Location and Dispersion Correlation and Regression Permutations, Combinations and Probability Kinematics and Dynamics Projectiles and Forces in Equilibrium

Try a sample question

A taste of what's inside — original Further Mathematics practice, free, no account needed.

1. If f(x) = 2x² − 3x + 1, find f(2).

A. 3

B. 5

C. 7

D. 11

Explanation: Substitute x = 2: 2(2²) − 3(2) + 1 = 8 − 6 + 1 = 3.

2. The sum of the first n terms of an AP is Sₙ = n/2[2a + (n−1)d]. Find S₁₀ for a = 3, d = 2.

A. 100

B. 110

C. 120

D. 130

Explanation: S₁₀ = (10/2)[2(3) + (10−1)(2)] = 5[6 + 18] = 5 × 24 = 120.

3. Differentiate y = 3x² − 5x + 2 with respect to x.

A. 6x − 5

B. 3x − 5

C. 6x + 2

D. x² − 5

Explanation: Differentiate term by term: d/dx(3x²) = 6x, d/dx(−5x) = −5, d/dx(2) = 0, giving 6x − 5.

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