AlgebraExam Tips

Common Mistakes to Avoid

Part of Solving QuadraticsGCSE Mathematics

This exam tips covers Common Mistakes to Avoid within Solving Quadratics for GCSE Mathematics. Revise Solving Quadratics in Algebra for GCSE Mathematics with 15 exam-style questions and 12 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 7 of 7 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 7 of 7

Practice

15 questions

Recall

12 flashcards

Common Mistakes to Avoid

  • WRONG: x² + 5x + 6 = 0 → x = 2 or x = 3 (Forgot the NEGATIVE signs!)
  • WRONG: Only writing one answer (Quadratics usually have TWO solutions)
  • WRONG: Solving x² + 5x + 6 = 12 by factorising directly (Must rearrange to = 0 first!)
  • RIGHT: Always check by substituting BOTH answers back into the original

Keep building this topic

Read this section alongside the surrounding pages in Solving Quadratics. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Solving Quadratics

The equation x² + 5x + 10 = 0 has:

  • A. Two different real solutions
  • B. One repeated solution
  • C. No real solutions
  • D. Infinitely many solutions
1 markfoundation

A rectangle has length (x + 5) cm and width (x + 2) cm. The area of the rectangle is 40 cm². Form a quadratic equation and solve it to find the value of x.

3 marksstandard

Quick Recall Flashcards

Solving Quadratics
Set equal to 0, factorise, each bracket = 0
How to factorise x² + bx + c
Find two numbers that: - Multiply to give c - Add to give b Then write as (x + p)(x + q)

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