Lesson 1.02y

1.02y Partial fractions Quiz: OCR Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.02y, Partial fractions: 20 multiple choice questions for the OCR Maths (H240), Unit 2: Algebra and Functions, written with Revision Ninja.

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The 20 questions

  1. What type of function is decomposed into simpler fractions using partial fractions?

    • Rational function
    • Trigonometric function
    • Logarithmic function
    • Exponential function

  2. Which is the partial fraction decomposition of 1/((x + 1)(x + 2))?

    • 1/(x + 2) - 1/(x + 1)
    • 2/(x + 1) - 1/(x + 2)
    • 1/(x + 1) - 1/(x + 2)
    • 1/(x + 1) + 1/(x + 2)

  3. Decompose (3x + 5)/((x + 1)(x + 2)) into partial fractions.

    • 3/(x + 1) + 1/(x + 2)
    • 2/(x + 1) + 1/(x + 2)
    • 2/(x + 1) - 1/(x + 2)
    • 1/(x + 1) + 2/(x + 2)

  4. Which is the correct partial fraction set-up for (2x + 1)/((x - 1)^2 (x + 3))?

    • A/(x - 1) + B/(x - 1)^2 + C/(x + 3)
    • A/(x - 1)^2 + B/(x + 3)
    • A/(x - 1) + B/(x + 3)
    • A/(x - 1)^2 + B/(x - 1)^3 + C/(x + 3)

  5. In 5/((x - 1)(x + 2)) = A/(x - 1) + B/(x + 2), what is A?

    • 5/2
    • 3/5
    • 5/3
    • -5/3

  6. What is the coefficient of x^2 in the expansion of 1/(1 - x)?

    • 2
    • -1
    • 0
    • 1

  7. Which is the partial fraction decomposition of 1/(x(x + 1))?

    • 1/x - 1/(x + 1)
    • 1/(x + 1) - 1/x
    • 1/x + 1/(x + 1)
    • x/(x + 1)

  8. What operation must be carried out on an improper rational function before finding partial fractions?

    • Binomial expansion
    • Implicit differentiation
    • Polynomial division
    • Integration by parts

  9. Decompose (x + 5)/((x - 2)(x + 1)) into partial fractions.

    • 7/(3(x - 2)) - 4/(3(x + 1))
    • 7/(3(x + 1)) - 4/(3(x - 2))
    • 7/(x - 2) - 4/(x + 1)
    • 5/(x - 2) + 1/(x + 1)

  10. In (5x + 1)/((x + 1)(x - 2)) = A/(x + 1) + B/(x - 2), what is B?

    • 4/3
    • 11/3
    • -11/3
    • 5/3

  11. In 3/(x^2 - 1) = A/(x - 1) + B/(x + 1), what is A?

    • 3
    • 1/2
    • 3/2
    • -3/2

  12. In 1/(x^2 - x) = A/x + B/(x - 1), what is B?

    • 1
    • 0
    • 1/2
    • -1

  13. In 1/(x(x - 1)^2) = A/x + B/(x - 1) + C/(x - 1)^2, what is B?

    • 1
    • 0
    • 2
    • -1

  14. For (x + 4)/((x - 1)(x + 3)) = A/(x - 1) + B/(x + 3), what is A + B?

    • 1
    • 1/2
    • 3/2
    • 5/4

  15. In 1/(1 - x^2) = A/(1 - x) + B/(1 + x), what is B?

    • 2
    • 1/2
    • -1/2
    • 1

  16. What is the coefficient of x^3 in the expansion of 1/(1 + x)?

    • 3
    • -3
    • 1
    • -1

  17. Which is the partial fraction form of 1/(x^2 + x - 2)?

    • (1/3)/(x - 1) - (1/3)/(x + 2)
    • (1/3)/(x + 1) - (1/3)/(x - 2)
    • 1/(x - 1) - 1/(x + 2)
    • (1/3)/(x - 1) + (1/3)/(x + 2)

  18. How many terms are in the partial fraction decomposition of a rational function with denominator (x - 1)(x + 2)^2 (x + 5)?

    • 3
    • 4
    • 6
    • 5

  19. For (x + 6)/((x + 1)(x - 3)) = A/(x + 1) + B/(x - 3), what is B?

    • -9/4
    • 5/4
    • 9/4
    • -5/4

  20. Which is the partial fraction form of 1/((x - 2)(x - 3))?

    • 1/(x - 2) - 1/(x - 3)
    • 1/(x - 3) - 1/(x - 2)
    • 2/(x - 2) - 1/(x - 3)
    • 1/(x - 2) + 1/(x - 3)

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