1. Algebra: The Backbone of the Entire Syllabus Simplifying expressions Expanding brackets Factorising (single brackets, double brackets, trinomials, difference of squares) Algebraic fractions Solving linear equations Solving quadratic equations by factorisation and formula Forming equations from word problems Inequalities Compound …
Understanding What “Time Management” Actually Means in Maths Exams Managing time means managing: reading time solving time checking time decision-making under pressure Not every question deserves equal time Strong students allocate time based on mark weight Must avoid “time traps” …
Why Past Papers Are the Most Powerful Revision Tool Past papers reflect real question difficulty Provide actual exam-style phrasing Build familiarity with marking points Reveal recurring question structures Help identify weak topics instantly Train timing and speed under pressure Reduce …
Understanding the Final 7-Day Revision Mindset Final week is NOT for learning new topics Final week is for: consolidating formulas mastering question patterns correcting past mistakes increasing solving speed improving exam stamina Avoid unnecessary theory reading Focus on exam-style practice …
Core Principles of Algebraic Fraction Simplification Algebraic fractions behave like number fractions Simplify numerator and denominator separately Factorise before cancelling Never cancel terms—cancel factors only Identify: common factors quadratic patterns difference of two squares perfect square trinomials common binomial factors …
Knowing Your Calculator: The Core Buttons to Master Know location of fraction button square root cube root power key reciprocal key memory keys Ans and replay keys Scientific notation support EXP or ×10ⁿ key Use replay to edit mistakes without …
Fundamental Relationships Every Student Must Memorise Core formula Distance = speed × time Speed = distance ÷ time Time = distance ÷ speed Use consistent units Convert hours ↔ minutes Convert minutes ↔ seconds Convert km ↔ m when necessary …
Understanding Inequality Symbols With Absolute Clarity Inequality vocabulary < means “less than” ≤ means “less than or equal to” means “greater than” ≥ means “greater than or equal to” Always check the direction of arrows Inequality set notation lines up …
Understanding Core Statistical Measures Mean, median, mode and interquartile range (IQR) measure different aspects of data Mean shows central value based on total sum Median shows middle position Mode shows most frequent value IQR shows spread between Q₁ and Q₃ …
Understanding the Basics of Vector Representation Vectors represent movement, direction and magnitude Written in component form Column vector: (a, b) Horizontal movement = a Vertical movement = b Vector AB defined as (B − A) Negative vector reverses direction Zero …