Lesson T2.2.2

T2.2.2 Factorising and expanding double brackets Quiz: KS3 Maths, Unit 2

20 questions

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Lesson T2.2.2, Factorising and expanding double brackets: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 2: Algebra, written with Revision Ninja.

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The 20 questions

  1. Expand (x + 2)(x + 5).

    • x² + 10x + 7
    • x² + 7x + 10
    • x² + 7x + 7
    • x² + 10
  2. Expand (x - 3)(x + 4).

    • x² + 7x - 12
    • x² + x - 12
    • x² - x - 12
    • x² - 12
  3. Expand (x + 6)(x - 6).

    • x² - 6x
    • x² - 36
    • x² - 12x + 36
    • x² + 36
  4. Factorise x² + 5x + 6.

    • (x + 5)(x + 1)
    • (x + 1)(x + 6)
    • (x - 2)(x - 3)
    • (x + 2)(x + 3)
  5. Factorise x² - 9.

    • (x - 9)(x + 9)
    • (x - 3)(x - 3)
    • (x + 3)(x - 3)
    • (x + 9)(x - 1)
  6. Factorise x² - x - 12.

    • (x - 12)(x + 1)
    • (x + 4)(x - 3)
    • (x - 4)(x + 3)
    • (x - 6)(x + 2)
  7. Factorise x² + 8x + 16.

    • (x + 16)(x + 1)
    • (x + 8)(x + 2)
    • (x + 4)(x - 4)
    • (x + 4)²
  8. Expand (2x + 1)(x + 3).

    • 2x² + 6x + 1
    • 3x² + 7x + 3
    • 2x² + 7x + 3
    • 2x² + 3
  9. Factorise 2x² + 6x.

    • 2x(x + 3)
    • x(2x + 3)
    • 6x(x + 1)
    • 2x(x + 6)
  10. Expand (x + 4)².

    • x² + 4x + 16
    • x² + 8x + 16
    • x² + 16
    • x² + 8x + 8
  11. Expand (y - 2)².

    • y² - 4y - 4
    • y² - 4y + 4
    • y² + 4y + 4
    • y² - 4
  12. Factorise x² - 5x + 6.

    • (x - 1)(x - 6)
    • (x - 2)(x - 3)
    • (x + 5)(x + 1)
    • (x + 2)(x + 3)
  13. Factorise x² + 3x - 10.

    • (x + 3)(x - 10)
    • (x + 5)(x - 2)
    • (x - 5)(x + 2)
    • (x + 10)(x - 1)
  14. Expand (3x - 1)(x + 2).

    • 3x² + 6x - 1
    • 3x² + 5x + 2
    • 3x² - 5x - 2
    • 3x² + 5x - 2
  15. Factorise 4x² - 25.

    • (4x + 5)(x - 5)
    • (2x + 5)(2x - 5)
    • (2x + 25)(2x - 1)
    • (2x - 5)²
  16. A square garden has sides of length (x + 3) metres. Which expression gives its area in m²?

    • x² + 3x + 9
    • x² + 6x + 9
    • 2x + 6
    • x² + 9
  17. A rectangle has area x² + 7x + 12 and length (x + 3). What is its width?

    • (x + 7)
    • (x + 4)
    • (x + 3)
    • (x + 12)
  18. Expand (x + 1)(x + 2)(x + 3).

    • x³ + 6x² + 11x + 6
    • x³ + 6x² + 9x + 6
    • x³ + 5x² + 11x + 6
    • x³ + 6x² + 11x - 6
  19. Factorise x² - 2x - 15.

    • (x - 15)(x + 1)
    • (x - 5)(x + 3)
    • (x + 5)(x - 3)
    • (x - 3)(x - 5)
  20. Expand (2x - 3y)².

    • 4x² - 12xy + 9y²
    • 4x² + 9y²
    • 4x² - 9y²
    • 4x² - 6xy + 9y²

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