Year 12 binomial expansion and sequences quiz to download as PDF

This Year 12 binomial expansion and sequences quiz has 10 short questions for pupils aged 16-17. Type your answer, check it straight away and read the explanation when you get one wrong.

Year 12 binomial expansion and sequences quiz: the 10 questions

Evaluate \(\binom{7}{2}\).
Coefficients of \((1+x)^3\)?
Common difference of \(10,7,4,\dots\)?
20th term of \(1,3,5,\dots\)?
Common ratio of \(2,6,18\)?
Sum to infinity of \(1,\tfrac12,\tfrac14,\dots\)?
What does \(\sum_{r=1}^{3}r\) equal?
State the condition for \(S_\infty\) to exist.
\(u_{n+1}=u_n+4\), \(u_1=1\). Find \(u_3\).
Evaluate \(\binom{10}{0}\).

How to use this Year 12 binomial expansion and sequences quiz

First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the binomial expansion and sequences lesson and try again later. After that, try the multiple choice questions or the binomial expansion and sequences worksheet.

Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.