Quadratics — IB Maths AA HL Practice
Quadratics underpin half of the Functions topic. Practise factorising, the discriminant and completing the square, then the HL favourites — tangent conditions and sums of roots — with the method re-explained on every miss.
The idea
What you'll master
- Solve by factoring
- Discriminant
- Completing the square
- Sum of squares of roots
- Tangent to a parabola
Sample questions
- Solve $x^{2}-3x+2=0$, giving the larger root.
- The equation $x^{2}+6x+k=0$ has equal roots. Find $k$.
- Write $x^{2}-4x+14$ as $(x-h)^{2}+k$ and state its minimum value.
Every attempt generates new numbers — the practice below never runs out.
Practise it now
Frequently asked questions
Is this IB Maths AA HL quadratics practice free?
You can read the method and try the sample questions here for free. Unlimited quadratics practice is part of the full Photon Learning Studio — a one-time SGD 250 unlocks every topic.
How is this different from past-paper practice?
Every question is generated fresh at exam standard. When you get one wrong it re-teaches that exact skill — a hint, then a fully worked example of the same type, then a step-by-step walkthrough — so you build the method, not just memorise answers.
Who is Photon Learn for?
IB Diploma students revising Maths AA HL, from a first pass through a topic to final exam preparation. It is built by Photon Academy, an IB specialist tuition centre in Singapore.
Master every AA HL topic
Photon Learn gives you 2 topics free. Unlock the full Learning Studio — every topic, forever — for a one-time SGD 250.