CAIE P1 2016 June — Question 1 3 marks

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2016
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicBinomial Theorem (positive integer n)
TypeSingle binomial expansion
DifficultyModerate -0.5 This is a straightforward binomial expansion question requiring students to identify which term has x^0 by setting up the general term and solving for the appropriate value of r. While it requires understanding of the binomial theorem and negative powers, it's a standard single-step application with no conceptual complications, making it slightly easier than average.
Spec1.04a Binomial expansion: (a+b)^n for positive integer n
1 Find the term independent of \(x\) in the expansion of \(\left( x - \frac { 3 } { 2 x } \right) ^ { 6 }\).
Question 1:
AnswerMarks Guidance
Answer/WorkingMarks Guidance
Term is \(^6C_3 \times x^3 \times \left(\frac{-3}{2x}\right)^3\)B1 B1 B1 for binomial coefficient, B1 for rest
\(\rightarrow -67.5\) oeB1 
## Question 1:
| Answer/Working | Marks | Guidance |
|---|---|---|
| Term is $^6C_3 \times x^3 \times \left(\frac{-3}{2x}\right)^3$ | **B1 B1** | B1 for binomial coefficient, B1 for rest |
| $\rightarrow -67.5$ oe | **B1** | |
1 Find the term independent of $x$ in the expansion of $\left( x - \frac { 3 } { 2 x } \right) ^ { 6 }$.

\hfill \mbox{\textit{CAIE P1 2016 Q1 [3]}}
This paper (11 questions)
View full paper
Q1 3 Q2 4 Q3 5 Q4 6 Q5 6 Q6 7 Q7 7 Q8 7 Q9 9 Q10 10 Q11 11