Lesson D1
D1 Binomial expansion Quiz: AQA Maths, Unit 4
20 questions
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Lesson D1, Binomial expansion: 20 multiple choice questions for the AQA Maths (7357), Unit 4: Sequences and series, written with Revision Ninja.
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The 20 questions
-
What is the value of 5!?
- 60
- 5
- 25
- 120
-
What is the value of 5C2?
- 20
- 5
- 7
- 10
-
Which formula gives nCr?
- r!/(n!(n - r)!)
- n!/r!
- (n - r)!/(n! r!)
- n!/(r!(n - r)!)
-
In the expansion of (1 + x)^4, what is the coefficient of x^2?
- 6
- 1
- 4
- 12
-
What is the coefficient of x^3 in (1 + 2x)^5?
- 10
- 20
- 80
- 40
-
What are the first three terms of (1 - x)^3?
- 1 - 3x + 3x^2
- 1 - 3x + 9x^2
- 1 + 3x + 3x^2
- 1 - x + x^2
-
For which values of x is the expansion of (1 + 2x)^(-1) valid?
- |x| < 1
- |x| < 1/2
- |x| < 2
- All real x
-
What are the first three terms of (1 + x)^(1/2)?
- 1 + x/2 - x^2/4
- 1 + 2x - x^2/8
- 1 + x/2 - x^2/8
- 1 + x/2 + x^2/8
-
Using (1 + x)^(-2) = 1 - 2x + 3x^2 + ..., what is the coefficient of x^2?
- 6
- -3
- 3
- 2
-
What is the coefficient of x^2 in (1 + 2x)^10?
- 90
- 45
- 180
- 360
-
What is the constant term in the expansion of (x + 1/x)^6?
- 20
- 15
- 6
- 0
-
A binomial distribution X ~ B(5, 0.3). What is P(X = 2)?
- 0.3087
- 0.1543
- 0.3
- 0.1323
-
What is the coefficient of x in (3 + x)^4?
- 108
- 27
- 12
- 36
-
In (1 + kx)^6 the coefficient of x is 12. What is k?
- k = 1/2
- k = 2
- k = 12
- k = 6
-
Does the expansion of (2x - 1/x)^3 have a constant term?
- Yes, with value 12
- Yes, with value -6
- No, since 3 - 2r = 0 has no integer solution
- Yes, with value 6
-
Use the expansion (1 + x)^(1/3) = 1 + x/3 - x^2/9 + ... with x = 0.03 to approximate 1.03^(1/3).
- 1.01
- 1.03
- 1.0033
- 1.0099
-
What is the coefficient of x^3 in (1 - 2x)^(1/2)?
- -4
- 1/2
- -1/16
- -1/2
-
If (1 + ax)^(-1) = 1 + 3x + 9x^2 + ..., what is a?
- a = 3
- a = 9
- a = -9
- a = -3
-
What are the first three terms of (1 - x/2)^(-2)?
- 1 + x + 3x^2/4
- 1 + 2x + 3x^2/4
- 1 + x + 3x^2/2
- 1 - x + 3x^2/4
-
How many terms does the expansion of (1 + x)^12 have?
- 144
- 78
- 12
- 13
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