Questions covered in Basic

Review the question prompts below before starting the timed test. Try each problem independently, then use the interactive test to record your answers and review the worked solutions.

1. The number of terms in the expansion of $(2x + 3y)^9$ is
2. The coefficient of $x$ in the expansion of $(1+x)^n$ is
3. The value of $^nC_0 + ^nC_1 + \dots + ^nC_n$ is
4. The general term in the expansion of $(a+b)^n$ is
5. The middle term in the expansion of $(x + \frac{1}{x})^{10}$ is
6. Expand $(1 - 2x)^3$ using Binomial Theorem.
7. Find the 3rd term in the expansion of $(x - 3)^5$.
8. Using Binomial Theorem, evaluate $(101)^4$.
9. Find the middle term in the expansion of $(\frac{x}{3} + 9y)^{10}$.
10. Find the coefficient of $x^5$ in the expansion of $(x+3)^8$.
11. Find the term independent of $x$ in the expansion of $(x - \frac{1}{x})^{10}$.
12. Case Study: The Binomial Theorem gives the expansion of $(a+b)^n$.
    (i) How many terms are there in the expansion of $(a+b)^n$?
    (ii) What is the sum of binomial coefficients in $(a+b)^n$?
    (iii) Write the expansion of $(a+b)^4$.