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O Level / IGCSE Mathematics (4024 / 0580): Guaranteed Algebra Questions Before Exams — AYLOTI | Educate A Change

Outline (Headings Used Below)

  • Why Algebra Is the Highest-Scoring Area in O Level / IGCSE Maths
  • Algebraic Simplification Questions That Always Repeat
  • Expanding and Factorising: Guaranteed Exam Patterns
  • Algebraic Fractions: Step-by-Step High-Frequency Questions
  • Linear Equations: Single Variable Questions You Must Not Miss
  • Simultaneous Linear Equations: CAIE’s Favourite Formats
  • Quadratic Equations: Guaranteed Methods Tested Before Exams
  • Changing the Subject of a Formula (Rearrangement Questions)
  • Algebraic Word Problems That Convert Directly Into Equations
  • Common Algebra Mistakes That Cost Students A*
  • Last-Minute Algebra Revision Strategy for May–June

Why Algebra Is the Highest-Scoring Area in O Level / IGCSE Maths

  • Algebra appears consistently in every paper for:
    • O Level Mathematics (4024)
    • IGCSE Mathematics (0580)
  • It contributes a large percentage of total marks
  • Algebra questions are:
    • Predictable
    • Skill-based
    • Repeated with minor variations every year
  • Students who master algebra early:
    • Gain confidence
    • Secure guaranteed marks
    • Reduce exam pressure in other topics

Algebra is not about intelligence — it’s about pattern recognition and disciplined steps.

Algebraic Simplification Questions That Always Repeat

  • Simplifying expressions involving:
    • Brackets
    • Like terms
    • Powers and coefficients
  • Typical exam formats include:
    • Removing brackets correctly
    • Collecting like terms
    • Handling negative signs
  • Common examiner focus:
    • Correct order of operations
    • Clear working steps

These questions are often placed early in the paper to test fundamentals.

Expanding and Factorising: Guaranteed Exam Patterns

  • Expanding:
    • Single brackets
    • Double brackets
  • Factorising:
    • Common factors
    • Quadratic expressions
    • Difference of two squares
  • CAIE repeatedly tests:
    • Sign accuracy
    • Factorising before solving

Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total A Grades, 11 World Records and 7 Distinctions, Educate A Change

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Algebraic Fractions: Step-by-Step High-Frequency Questions

  • Simplifying algebraic fractions by:
    • Factorising numerator and denominator first
    • Cancelling common factors
  • Solving equations involving algebraic fractions
  • Identifying restrictions on variables
  • CAIE examiner preference:
    • Clear factorisation
    • No illegal cancellation

These questions separate A students from B students.

Linear Equations: Single Variable Questions You Must Not Miss

  • Solving equations involving:
    • Fractions
    • Brackets
    • Variables on both sides
  • Common exam traps:
    • Incorrect transposition
    • Arithmetic slips at the final step
  • Examiner expectation:
    • Logical progression
    • Clean working

These are guaranteed marks if steps are shown properly.

Simultaneous Linear Equations: CAIE’s Favourite Formats

  • Solving by:
    • Elimination
    • Substitution
  • Typical formats:
    • One equation already simplified
    • One equation requiring rearrangement first
  • Common mistake:
    • Forgetting to substitute the correct value back

Simultaneous equations appear almost every May–June session.

Quadratic Equations: Guaranteed Methods Tested Before Exams

  • Solving by:
    • Factorisation
    • Quadratic formula
  • Finding:
    • Two solutions
    • One repeated solution
    • No real solutions
  • CAIE frequently tests:
    • Correct formula substitution
    • Accuracy with negative values

Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total A Grades, 11 World Records and 7 Distinctions, Educate A Change

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Changing the Subject of a Formula (Rearrangement Questions)

  • Making a variable the subject
  • Handling:
    • Fractions
    • Squares and square roots
  • CAIE emphasis:
    • Correct algebraic isolation
    • Logical sequencing

Students lose marks here by jumping steps.

Algebraic Word Problems That Convert Directly Into Equations

  • Translating words into algebraic expressions
  • Common exam scenarios:
    • Age problems
    • Number problems
    • Consecutive integers
  • Key skill tested:
    • Equation formation, not solving

Once the equation is correct, the question becomes straightforward.

Common Algebra Mistakes That Cost Students A*

  • Cancelling terms instead of factors
  • Sign errors when expanding brackets
  • Skipping factorisation steps
  • Arithmetic errors in final substitution
  • Not checking solutions back in equations

Avoiding these mistakes alone can push grades up by one full band.

Last-Minute Algebra Revision Strategy for May–June

  • Revise:
    • Simplification
    • Linear equations
    • Quadratics
  • Practice:
    • Past paper algebra questions only
  • Focus on:
    • Accuracy
    • Method marks
    • Clear working
  • Do not:
    • Learn new algebra topics
    • Skip working steps

Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total A Grades, 11 World Records and 7 Distinctions, Educate A Change

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Hunain Zia

Hunain Zia has previously achieved considerable success in the high-school educational stream, gaining a massive 154 Total A Grades and 7 Major Distinctions, a process in which he broke/ set 11 different world records, including the most A grades ever achieved, most subjects ever appeared in, most distinctions, gaining distinctions across two separate boards (Pearson Edexcel and CAIE) within the same year/ ever, and even 19 hours of constant examination. All records stand intact today. Hunain pursued his Honors Accounting Degree from the prestigious Bentley University, and then completed an LLB (in Honors) from University of London. Currently, he manages multiple social and commercial projects, has founded digital streams and works tirelessly in the education sector.

Educate A Change focuses on truly bringing change in the educational sector worldwide. All our courses are designed to ensure success, and provide complete preparation without requiring any other external material. Therefore, it takes away the expense of academies, books, past paper compilations and other miscellaneous items. Instead, by just the courses we offer, the student can prepare fully for the best grades in their CAIEs, Edexcel and other high-school exams. The earnings from our course-sales are invested in social projects and growing the free educational activities of Educate A Change.

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