A-level · Sequences & series

The binomial expansionExam-style questions

Expanding (a + b)^n with binomial coefficients — Pascal's triangle and nCr — and picking out a single term or coefficient without expanding everything.

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9 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4

1
Find the coefficient of $x^3$ in the expansion of $(2 - x)^6$ .
Level 3 · 2 marksTry it
2
In the expansion of $(3 + kx)^4$ , the coefficient of $x^2$ is $216$ . Find the possible values of the constant $k$ .
Level 3 · 3 marksTry it
3
Find the coefficient of $x^2$ in the expansion of $(1 + x)(2 - x)^4$ .
Level 3 · 3 marksTry it