What you need to know
Check yourself against these “I can” statements.
- I can solve simple quadratic equations by rearranging
- I can solve quadratic equations by factorising, like x² + 5x + 6 = 0
- I can factorise and solve quadratics where the x² coefficient is more than 1
- I can solve quadratic equations using the quadratic formula
- I can prove the quadratic formula by completing the square
Practise this topic
6 resourcesFactorise the Quadratic
x² + bx + c through to a > 1, a < 0 and hidden quadratics. Five difficulty levels, timed, click to reveal.
⚙️ WorksheetSolve the Quadratic
Solve by factorising or completing the square: x² + bx + c through to a > 1, a < 0 and hidden quadratics. Five difficulty levels, timed, click to reveal.
⬢ BlockbustersFactorise the Quadratic Blockbusters
Blockbusters with the questions from the Factorise the Quadratic worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with…
🔤 Fill the GapsFill the Gaps: Maths Vocabulary
A sentence explaining one of the unit’s key words, with gaps. Pick the right word for each gap from the words scattered round it: the right ones and plenty of wrong ones. A deck for every unit.
🧩 ConnectionsQuadratics
Match quadratics to their factorised form, solutions, x-axis crossings and y-intercept. Sign-swapped families from Standard; a > 1, completed square and turning points on Hard.
⬢ BlockbustersSolve the Quadratic Blockbusters
Blockbusters with the questions from the Solve the Quadratic worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with multiple…
These are the pages for Solving quadratic equations in the GCSE + AQA Further Maths scheme of work, following Pearson Edexcel GCSE (9–1) Higher (1MA1), plus AQA Level 2 Further Mathematics (8365). Open this topic in Mr Wells Maths to see it alongside the rest of the course.