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AIFPU · 100 level · 3 units

AIFPU MTH 101 — Elementary Mathematics I (Algebra and Trigonometry) Past Questions

Recurring exam topics, sample past questions and revision strategy for MTH 101 at Akanu Ibiam Federal Polytechnic, Unwana.

About MTH 101 at AIFPU

MTH 101 (or its institution-specific code — MAT 101, MAS 101, MTS 101) covers elementary mathematics: real number system, indices, logarithms, surds, quadratic and polynomial functions, sequences and series, binomial expansion, trigonometric identities, and an introduction to coordinate geometry. It is one of the most failed courses in Nigerian universities — not because it is conceptually difficult, but because students under-practise. Algebra and trigonometry reward repetition. Past questions at MTH 101 level reuse the same problem types every semester with different numbers, so students who drill 30–50 past questions before the exam consistently pass with a B or A. The course is examined over 2–3 hours with 5–6 questions to be attempted from a paper of 6–8. The strongest revision strategy is to identify the 8–10 problem archetypes (e.g., solve a quadratic by completing the square, prove a trigonometric identity, find the sum of a geometric series) and drill each archetype until the steps are automatic. Lecturers commonly include one challenging question per paper to stretch the top students — but the bulk of the paper is standard.

Recurring Topics in MTH 101 Past Papers

  • Real numbers and indices

    Laws of indices, simplification of surds, rationalisation.

  • Quadratic and polynomial functions

    Factorisation, completing the square, the quadratic formula, remainder and factor theorems.

  • Logarithms

    Definition, laws of logarithms, solving logarithmic and exponential equations.

  • Sequences and series

    Arithmetic progressions, geometric progressions, sum to n terms, sum to infinity for GPs.

  • Binomial expansion

    Pascal's triangle, binomial theorem for positive integer and rational exponents.

  • Trigonometric identities

    Compound angles, double-angle formulae, solving trigonometric equations.

  • Coordinate geometry

    Equation of a line, distance between two points, midpoint, slope, equation of a circle.

Sample Past Questions (MTH 101)

  1. Q1. Solve for x: 2x² + 5x − 12 = 0 using the quadratic formula.

  2. Q2. If log₁₀(x) + log₁₀(x + 3) = 1, find x.

  3. Q3. Find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16, ...

  4. Q4. Expand (1 + 2x)⁵ using the binomial theorem.

  5. Q5. Prove that sin(A + B)·sin(A − B) = sin²A − sin²B.

3 more past questions — unlock free with a CampusTutor account

  1. Q6. Find the equation of the line passing through (2, 3) and perpendicular to 2y − x + 5 = 0.

  2. Q7. Solve the equation 4ˣ⁺¹ = 16²ˣ⁻¹.

  3. Q8. Find the coefficient of x³ in the expansion of (2 − 3x)⁶.

Unlock the full AIFPU MTH 101 pack

MTH 101 Exam Format at AIFPU

Typically a 3-hour examination. Attempt 5 of 6 (or 6 of 8) questions. Each question is multi-part. Solutions must be shown step-by-step — marks are awarded for working even if the final numerical answer is incorrect. CA contributes 30 percent, exam 70 percent.

Practise MTH 101 the smart way

CampusTutor walks you through every past question step-by-step, generates new variations of the same archetype, and quizzes you until the steps are automatic.

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