IB Maths AA HL AA 1.4 Binomial theorem and counting questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper
Paper 1, no calculatorPaper 2, calculator
Difficulty
EasyMediumHard

Question 1

Paper 2, calculatorEasy6 marks
(a)

Expand (1+2x)3(1+2x)^3

[2]
(b)

For integer rr where 0≤r≤60\leq r\leq 6 use your GDC to generate a table of (6r)\binom{6}{r} Hence determine the value of rr for which (6r)=20\binom{6}{r}=20 Using the formula for (6r)\binom{6}{r} verify your answer.

[4]