IGCSE Algebra Exam Technique
Algebra accounts for roughly 30% of extended paper marks. Most marks are lost not because students don't know the algebra, but because they rush, skip steps, or misread the question. This guide fixes those habits.
Expand Before You Solve
When a question involves brackets, always expand fully before attempting to solve. Trying to 'shortcut' bracket removal causes sign errors that cascade through the whole working.
Tips
- Write every expansion line even if it looks obvious
- Check signs carefully when a negative multiplies a bracket
- Never cancel terms across a sum — only across a product
Simultaneous Equations Method Selection
Choose elimination when coefficients can be easily matched; choose substitution when one equation is already solved for a variable (e.g. y = 2x + 1). Mixing methods mid-question wastes time.
Tips
- Circle which variable you're eliminating before starting
- After finding x, substitute back into the simpler original equation
- Always verify your answer satisfies both original equations
Factorising and Quadratics
For quadratics ax² + bx + c, check if a = 1 first — simple factorising is fastest. If a ≠ 1, use the ac method or quadratic formula. Never guess factors; show the product–sum check.
Tips
- Write product = ac and sum = b before factorising
- For the formula, write it out in full before substituting
- If the discriminant is negative, state 'no real solutions' and move on
Functions and Graphs
When sketching functions, identify intercepts and turning points first. For f(x) questions, treat f as a machine — substitute carefully and write each step.
Tips
- Label axes and mark coordinates with exact values
- For composite functions gf(x), apply f first then g
- Inverse function: swap x and y, then rearrange for y
Key Takeaways
- Show every algebraic step — method marks are awarded throughout
- Check your final answer by substituting back into the original equation
- Algebra errors often come from sign mistakes, not concept gaps
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Frequently Asked Questions
How many marks does algebra typically carry in IGCSE 0580?
Algebra and graphs together typically carry 30–35% of extended paper marks across Papers 2 and 4.
Should I use the quadratic formula or factorisation in the exam?
Factorise if the roots are clearly integers; use the formula for messy coefficients. The formula always works and earns full marks.
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