Binomial Expansion — IB Maths AA HL Practice
Binomial expansion is one of the most reliable mark-earners on IB Maths AA HL Paper 1. This free practice ladder climbs from evaluating $\binom{n}{r}$ to the hardest exam types — the term independent of $x$ and products of brackets — re-teaching the step whenever you slip.
The idea
What you'll master
- Evaluate ⁿCᵣ
- Coefficient + signs
- Unknown power n
- Term independent of x
- Product of two brackets
Sample questions
- Evaluate $\dbinom{9}{4}$.
- Find the coefficient of $x^{3}$ in $(3x-3)^{4}$.
- In $(1+x)^{n}$ the coefficient of $x^{2}$ is $28$. Find $n$.
Every attempt generates new numbers — the practice below never runs out.
Practise it now
Frequently asked questions
Is this IB Maths AA HL binomial expansion practice free?
Yes — Binomial Expansion is one of the free topics in Photon Learn. Practise unlimited auto-generated questions with hints and worked examples, no sign-up needed.
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
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