Academic Resources

Download free, curated formula guides, study logs, and Past Paper workbooks created by Prof. Yousaf.

Pure Mathematics PDF (3.2 MB)

Mastering Integration & ODEs

A comprehensive derivation of integration techniques (Substitution, Parts, Partial Fractions) paired with step-by-step solutions to common CIE A-Level P3 Ordinary Differential Equations.

Formula Sheets PDF (1.8 MB)

Essential Trigonometry Formula Sheet

A quick-reference sheet covering sine rule, cosine rule, area of non-right triangles, bearings, and angles of elevation/depression for CIE O Level Notes Syllabus D (4024).

Statistics PDF (4.5 MB)

Kinematics & Projectiles Guide

Connecting physical reality with Mechanics (M1). Explains vertical projection, air resistance dynamics, vectors, and pulley equilibrium states with clear vector drawings.

Pure Mathematics PDF (2.1 MB)

Trigonometry Identities & Proofs

Unveiling the mystery of P3 trigonometric equations. Includes core derivations of double-angle formulas, factor formulas, and R-addition methods with structured exam solutions.

Additional Mathematics PDF (2.9 MB)

Add-Math Quadratics & Indices

Bridging algebra basics to high-track A-level prep. Includes detailed practice sets covering quadratic inequalities, indices, logs, and simultaneous quadratic intersections.

A-Level Statistics PDF (3.7 MB)

Probability Distributions Workbook

Learn normal approximation, Poisson probability modeling, and binomial distribution matrices. Features clear, visual interpretations of distribution tables for S1 & S2.

Need a Specific Formula Sheet or Past Paper?

Our library is updated weekly with new solved past papers and custom worksheets. If you are struggling with a specific CIE math section, let Prof. Yousaf know, and we'll create a study sheet!

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