Practise this topic
5 resourcesComplete the Square
a = 1 with even and odd b, then a > 1 and a < 0. Five difficulty levels, timed, click to reveal.
⬢ BlockbustersComplete the Square Blockbusters
Blockbusters with the questions from the Complete the Square 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…
🔗 MatchingGraph Sketching: Matching
Twelve equations: match each to its graph, which shows only where it meets the axes. Easy: quadratics in factorised form. Normal: quadratics to factorise, each also matched to its turning point, with look-alike graphs and turning…
🧩 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 Completing the square 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.