What are the best revision steps for IGCSE algebra topics like quadratics and simultaneous equations?

For Cambridge IGCSE algebra, three topics carry the most exam weight: quadratic equations, simultaneous equations, and algebraic fractions.

With quadratics, always rearrange to ax² + bx + c = 0 before choosing a method. Factorise when the expression factors neatly into integers. Use the quadratic formula as your fallback. After solving, substitute your answer back into the original equation to check it.

For simultaneous equations, use elimination when the equations share coefficients you can match by simple multiplication. Use substitution when one equation is already solved for a variable, or when one equation is quadratic and the other is linear. State both solution pairs and verify each one.

Algebraic fractions catch students out because the rules resemble numerical fractions but the manipulation is harder. The most common error is adding fractions without a common denominator. Factorise the numerator and denominator fully before cancelling, and only cancel factors that multiply the entire expression, not terms separated by addition or subtraction.

These steps apply to both Cambridge IGCSE and Edexcel papers. Students who build clean working habits at IGCSE level find that A-Levels topics such as partial fractions and polynomial division follow far more naturally.

A simple session structure works well. Review one concept briefly, complete five to eight exam-style questions, then check answers using backward substitution. Twenty focused minutes daily beats a two-hour session the night before a mock.

The key habits are: rearrange first, show all working, and verify every answer. Examiners award method marks even when a final answer contains an arithmetic slip, but only if the working is clearly laid out.

For a full step-by-step walkthrough of each topic, including completing the square, graphical interpretation of simultaneous equations, and how algebra builds from IGCSE into A-Level work, see our blog. If your child needs structured support, Talimat offers live 1:1 online tutoring with vetted subject specialists. You can contact us to be matched with a tutor in under ten minutes.