# Binomial Expansion and Coefficients

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

The following math revision questions are provided in support of the math tutorial on Binomial Expansion and Coefficients. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Binomial Expansion and Coefficients tutorials. The Binomial Expansion and Coefficients calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

Not sure on some or part of the Binomial Expansion and Coefficients questions? Review the tutorials and learning material for Binomial Expansion and Coefficients

Sequences and Series Learning Material
Tutorial IDTitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
12.3Binomial Expansion and Coefficients

## Binomial Expansion and Coefficients Revision Questions

1. . Which of the following is a binomial expression?

1. 3xy - 4x + 1
2. x - 3y + 3
3. 2x - 4
4. 4x

2. . What is the 5th coefficient of (a + b)8 after the expansion?

1. 5
2. 8
3. 40
4. 56

3. . How many terms does the expanded form of the binomial expression (x + y)18 have?

1. 18
2. 19
3. 36
4. 38

4. . What is the sum of coefficients of the binomial expression (x + y)6 after the expansion?

1. 15
2. 20
3. 62
4. 64

5. . What is the value of C(12, 5)?

1. 60
2. 99
3. 792
4. 7920

6. . What is

8! ∙ 5!/9! ∙ 4!
1. 5/9
2. 40/36
3. 10/9
4. 1

7. . What is the value of the middle coefficient of the binomial expression (x + y)8?

1. 48
2. 60
3. 70
4. 342

8. . What is the expanded form of (2x - 1)4?

1. 16x4 - 32x3 + 24x2 - 8x + 1
2. x4 - 4x3 + 6x2 - 4x + 1
3. 16x4 + 32x3 + 24x2 + 8x + 1
4. x4 + 4x3 + 6x2 + 4x + 1

9. . What is the smallest coefficient in the expanded form of the binomial (2 - 5x)5?

1. 32
2. -3125
3. -5000
4. -6250

10. . The C(n, k) coefficient of a binomial expression is 84. What are the valued of n and k?

1. n = 7 and k = 4
2. n = 9 and k = 6
3. n = 8 and k = 3
4. n = 10 and k = 5

## Whats next?

Enjoy the "Binomial Expansion and Coefficients" practice questions? People who liked the "Binomial Expansion and Coefficients" practice questions found the following resources useful:

1. Practice Questions Feedback. Helps other - Leave a rating for this practice questions (see below)
2. Sequences and Series Math tutorial: Binomial Expansion and Coefficients. Read the Binomial Expansion and Coefficients math tutorial and build your math knowledge of Sequences and Series
3. Sequences and Series Video tutorial: Binomial Expansion and Coefficients. Watch or listen to the Binomial Expansion and Coefficients video tutorial, a useful way to help you revise when travelling to and from school/college
4. Sequences and Series Revision Notes: Binomial Expansion and Coefficients. Print the notes so you can revise the key points covered in the math tutorial for Binomial Expansion and Coefficients
5. Check your calculations for Sequences and Series questions with our excellent Sequences and Series calculators which contain full equations and calculations clearly displayed line by line. See the Sequences and Series Calculators by iCalculator™ below.
6. Continuing learning sequences and series - read our next math tutorial: Infinite Series Explained

## Help others Learning Math just like you

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use