Lesson 2.8

2.8 Factorising Quiz: AQA Further Maths, Unit 2

20 questions

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Lesson 2.8, Factorising: 20 multiple choice questions for the AQA GCSE Further Maths (8365), Unit 2: Algebra, written with Revision Ninja.

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The 20 questions

  1. Factorise x^2 + 7x + 10.

    • (x − 2)(x − 5)
    • (x + 2)(x + 5)
    • (x + 1)(x + 10)
    • (x + 3)(x + 4)
  2. Factorise x^2 − 9.

    • (x − 3)^2
    • (x − 3)(x + 3)
    • (x − 9)(x + 1)
    • (x + 3)^2
  3. Factorise 6x − 9.

    • 3(2x − 3)
    • 2(3x − 9)
    • 3(2x − 1)
    • x(6 − 9)
  4. What is the highest common factor of 12a^2b and 18ab^2?

    • 3ab
    • 36a^2b^2
    • 6a^2b^2
    • 6ab
  5. Factorise 4a^2 − 25b^2.

    • (4a − 5b)(a + 5b)
    • (2a − 5b)(2a + 5b)
    • (2a + 25b)(2a − b)
    • (2a − 5b)^2
  6. Which expression is x^2 + 4x + 4 equal to?

    • (x + 2)(x − 2)
    • (x − 2)^2
    • (x + 2)^2
    • (x + 4)^2
  7. Factorise fully 3x^2 − 12.

    • 3(x − 2)(x + 2)
    • (3x − 6)(x + 2)
    • 3(x − 4)(x + 1)
    • 3(x + 2)^2
  8. Factorise x^2 − 5x − 14.

    • (x − 14)(x + 1)
    • (x − 2)(x − 7)
    • (x + 7)(x − 2)
    • (x − 7)(x + 2)
  9. Factorise 2x^2 + 7x + 3.

    • (2x − 1)(x − 3)
    • (2x + 7)(x + 1)
    • (2x + 3)(x + 1)
    • (2x + 1)(x + 3)
  10. Factorise 4x^2 − 12xy + 9y^2.

    • (4x − 3y)(x − 3y)
    • (2x + 3y)^2
    • (2x − 9y)(2x − y)
    • (2x − 3y)^2
  11. Factorise fully x^3 − x.

    • x(x − 1)(x + 1)
    • x(x + 1)^2
    • (x − 1)(x^2 + 1)
    • x(x^2 + 1)
  12. Factorise a^2 + 2ab − 8b^2.

    • (a + 8b)(a − b)
    • (a − 4b)(a + 2b)
    • (a + 2b)(a + 4b)
    • (a + 4b)(a − 2b)
  13. Factorise 6xy + 9x.

    • 3x(2y + 9)
    • 3x(y + 3)
    • 3x(2y + 3)
    • x(2y + 3)
  14. Factorise fully x^2 − 16.

    • (x − 16)(x + 1)
    • (x + 4)^2
    • (x − 4)(x + 4)
    • (x − 4)^2
  15. Factorise fully 3x^2 + 6x − 45.

    • 3(x + 5)(x − 3)
    • 3(x + 15)(x − 1)
    • 3(x + 3)^2
    • 3(x − 5)(x + 3)
  16. Factorise x^3 + 8.

    • (x + 2)(x^2 − 4x + 4)
    • (x − 2)(x^2 + 2x + 4)
    • (x + 2)(x^2 − 2x + 4)
    • (x + 8)(x^2 + 1)
  17. Factorise fully 2x^3 − 8x.

    • 2x(x − 4)(x + 1)
    • 2x(x − 2)^2
    • 2x(x − 2)(x + 2)
    • x(2x − 2)(x + 2)
  18. Factorise 2y^2 − y − 6.

    • (2y − 3)(y + 2)
    • (y + 3)(2y − 2)
    • (2y + 3)(y − 2)
    • (2y + 1)(y − 6)
  19. Factorise (x + 3)^2 − 25.

    • (x + 2)(x + 8)
    • (x − 2)(x + 8)
    • (x + 2)(x − 8)
    • (x − 2)(x − 8)
  20. Factorise fully a^3b − ab^3.

    • ab(a − b)^2
    • a^2b(a − b)
    • ab(a − b)(a + b)
    • ab(a + b)^2

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