Lesson 1.04a

1.04a Binomial expansion Quiz: OCR Maths, Unit 4

20 questions

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Lesson 1.04a, Binomial expansion: 20 multiple choice questions for the OCR Maths (H240), Unit 4: Sequences and Series, written with Revision Ninja.

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The 20 questions

  1. What is the coefficient of x in the expansion of (1 + x)^5?

    • 5
    • 1
    • 10
    • 25
  2. What is the value of 6C2?

    • 30
    • 12
    • 20
    • 15
  3. What is the sum of the coefficients in the expansion of (1 + x)^4?

    • 8
    • 16
    • 32
    • 4
  4. What is the coefficient of x^2 in (1 + x)^3?

    • 3
    • 1
    • 2
    • 6
  5. What is the coefficient of x^3 in (2 - 3x)^3?

    • 27
    • -9
    • -54
    • -27
  6. What is the coefficient of x^2 in (1 + 2x)^4?

    • 6
    • 8
    • 12
    • 24
  7. What is the coefficient of x in the expansion of (2 - 3x)^7?

    • 1344
    • -1344
    • -2688
    • -448
  8. Using the approximation (1 + x)^n is about 1 + nx for small x, what is an approximate value of (1.02)^10?

    • 1.02
    • 1.22
    • 1.0002
    • 1.2
  9. For which values of x is the binomial expansion of (1 + x)^(1/2) valid?

    • x > 0 only
    • |x| < 1
    • |x| > 1
    • All real x
  10. What is the coefficient of x^2 in the expansion of (1 - x/2)^4?

    • 3/2
    • 3
    • 6
    • 1/4
  11. What is the coefficient of x^2 in the expansion of (1 + x)^(-1)?

    • -2
    • 2
    • -1
    • 1
  12. What is the coefficient of x^2 in the expansion of (1 + 3x)^(-2)?

    • 9
    • -27
    • 27
    • 6
  13. What is the coefficient of x^2 in the expansion of (1 + 2x)^(1/2)?

    • 1/4
    • 1/2
    • -1/2
    • -1/8
  14. What is the coefficient of x in the expansion of (1 - 2x)^(1/3)?

    • -1/3
    • 2/3
    • -2/3
    • -2
  15. What is the coefficient of x^2 in the expansion of (2 + x)^5?

    • 40
    • 20
    • 80
    • 160
  16. If the coefficient of x in (1 + x)^n is 7, what is n?

    • 49
    • 7
    • 14
    • 3.5
  17. What is the coefficient of x^3 in (1 + x)^6 (1 - x)?

    • -5
    • 20
    • 15
    • 5
  18. What is the coefficient of x^3 in the expansion of (1 + x)^(-2)?

    • -3
    • -4
    • -6
    • 4
  19. What is the coefficient of x in the expansion of (2 + x)^4?

    • 24
    • 8
    • 32
    • 16
  20. What is the coefficient of x^4 in the expansion of (1 + x)^6?

    • 6
    • 30
    • 15
    • 20

All OCR Maths quizzes