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 …
Key Mensuration Concepts to Master Before Using Formulas Length, area, and volume scale differently Length scaling factor = k Area scaling factor = k² Volume scaling factor = k³ Use correct units Area in cm² or m² Volume in cm³ …
Percentage, Ratio & Proportion Hacks for O Level & IGCSE Maths Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level & IGCSE …
Understanding Sequences as a High-Frequency Exam Topic Sequences appear repeatedly in Paper 1 and Paper 2/4 Examiners love testing: Recognising patterns Finding next terms Deriving the nth term Using the nth term to find unknowns Arithmetic vs non-arithmetic logic Students …
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level & IGCSE Mathematics Free Material Understanding Frequency, Grouped Data & Key Terms Frequency …
Understanding Graphs as a Core Exam Topic Graphs appear in Paper 1 and Paper 2/4 across multiple question types Linear and quadratic graphs are heavily tested because they test: Algebraic manipulation Coordinate geometry Substitution Estimation Interpretation of diagrams Students lose …
Understanding Transformations as a High-Yield Topic Transformations include reflection, rotation, enlargement and translation Each transformation requires three things Clear description Accurate mapping of coordinates Clean diagram working Examiner expects correct terminology Reflection in the line … Rotation through … about …
Core Probability Foundations Every Student Must Master Understand basic probability structure Probability = number of favourable outcomes ÷ total outcomes Know probability is always between 0 and 1 0 → impossible event 1 → certain event Use fraction, decimal, or …
Mastering the Foundation: What SOHCAHTOA Really Means Understand the three core ratios clearly SOH → sine = opposite ÷ hypotenuse CAH → cosine = adjacent ÷ hypotenuse TOA → tangent = opposite ÷ adjacent Identify angle position correctly Opposite side …