What you need to know
Check yourself against these “I can” statements.
- I can expand two brackets, like (x + 3)(x − 5)
- I can factorise quadratics like x² + bx + c
- I can factorise using the difference of two squares, like x² − 9 = (x + 3)(x − 3)
Practise this topic
6 resourcesAdvanced Factorising
ax² quadratics, a common bracket factor, grouping in x and y, and cubics by grouping. Five difficulty levels, timed, click to reveal.
⚙️ WorksheetFactorise the Quadratic
x² + bx + c through to a > 1, a < 0 and hidden quadratics. Five difficulty levels, timed, click to reveal.
⬢ BlockbustersAdvanced Factorising Blockbusters
Blockbusters with the questions from the Advanced Factorising 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…
⬢ 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…
🧩 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.
🧮 ToolVisual Proofs
Animated visual proofs of Pythagoras’ theorem, of the sums of integers, odd numbers, squares and cubes, and of key results in algebra, geometric series, trigonometry and inequalities. They play like Shape Formulas: drag the bar…
These are the pages for More Expanding and Factorising in the GCSE scheme of work, following Pearson Edexcel GCSE (9–1) Mathematics, Higher tier (1MA1). Open this topic in Mr Wells Maths to see it alongside the rest of the course.