Algebra (Sec 2) Practice
Master quadratic expressions: expansion using FOIL and special identities (perfect square, difference of two squares), and factorisation. These are the foundation for O-Level quadratic equations and graphing.
Common Mistakes to Avoid
Forgetting the middle term when expanding: (x + 3)² ≠ x² + 9
Misidentifying difference of two squares: requires a² − b² form, not a² + b²
Incorrect factorisation of trinomials — always verify by expanding back
Practice Questions
Try each question. When you're stuck, reveal the Socratic strategy — a guided hint that teaches you how to think, not just what to write.
Expand (x + 3)(x − 2).
Factorise completely: x² − 9.
Expand (2a + 3b)².
Parent & Tutor Insight
The three algebraic identities ((a+b)², (a−b)², (a+b)(a−b)) appear constantly in Sec 2 and O-Level exams. Students who have these memorised — not just understood — solve problems significantly faster.
Want More Practice?
Get personalised daily practice questions at your exact level. Adaptive questions, Socratic hints, and progress tracking — all free to start.
No credit card required · MOE 2026 Aligned · Free to start