9709 · topic questions
Quadratics
10 past-paper questions on Quadratics
The equation of a curve is y = ½k²x² - 2kx+2 and the equation of a line is y = kx+p, where k and p are constants with 0 < k < 1.…
Practise the full question →(b) Given instead that p = 4, find the set of values of k for which the curve and the line do not intersect.
Practise the full question →Show that the curve with equation x² – 3xy-40 = 0 and the line with equation 3x+y+k = 0 meet for all values of the constant k.
Practise the full question →Hence find the exact solutions of the equation 3x⁴ – 12x² - 15 = 0.
Practise the full question →It is given instead that the line and the curve do not intersect. Find the set of possible values of p.
Practise the full question →The function f is defined by f(x) = 3+6x-2x² for x ∈ R. Express f(x) in the form a-b(x-c)², where a, b and c are constants, and…
Practise the full question →By expressing -2x² +8x+11 in the form -a(x−b)² +c, where a, b and c are positive integers, find the coordinates of the vertex of…
Practise the full question →Express 3x² – 12x + 14 in the form 3(x+a)² + b, where a and b are constants to be found.
Practise the full question →Express x² +4x+2 in the form (x+a)² + b, where a and b are integers.
Practise the full question →Express 3y² – 12y - 15 in the form 3(y+a)² + b, where a and b are constants.
Practise the full question →
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Quadratics (9709) past-paper questions — marked instantly
These are real Cambridge Mathematics past-paper questions on Quadratics. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.
Frequently asked questions
- How many Quadratics questions are there for 9709?
- This page collects 10 recent Cambridge Mathematics (9709) past-paper questions tagged to Quadratics. Each links straight to instant marking against the official 9709 scheme.
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- Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
- Where can I learn Quadratics first?
- Start with the free Mathematics lesson on Quadratics, then come back and drill past-paper questions under timed conditions.