Quadratic equations GCSE questions
Quadratic equations GCSE questions: factorise, formula and “how many solutions”. Designed for Higher, with a few Foundation-friendly items.
Set equal to zero first
If the question is x² + 5x = 14, rearrange to x² + 5x − 14 = 0 before factorising.
Practice questions
Cover the answers and have a go first. Worked solutions are underneath.
Solve x² + 6x + 8 = 0
Solve x² − 4x = 0
Solve x² = 49
Discriminant of x² + 3x + 4. How many real solutions?
Solve x² − 2x − 1 = 0 using the formula, leave as surds
Common mistakes
- Discarding the negative root.
- Using the formula without writing = 0 first.
Answers and working
Frequently asked questions
AQA vs Edexcel?
The algebra is the same. Practise the method, then sit papers from your board.
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