What to create	Quiz
Which subject	Mathematics
What age group	Year or Grade 10
What topic	Factorise to Solve
Question types	Close-ended
Number of questions	10
Number of answers	10
Correct answers	Exactly 1
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Year 10 Mathematics Quiz: Factorise to Solve

Instructions

Choose the correct answer from the options provided for each question. There is only one correct answer per question.

Questions

1. Factorise and solve the equation: ( x^2 - 5x + 6 = 0 )

   • A. ( x = 2, 3 )
   • B. ( x = -2, -3 )
   • C. ( x = 1, 6 )
   • D. ( x = 2, 4 )
   • E. ( x = -1, -6 )
   • F. ( x = 0, 5 )
   • G. ( x = 3, -2 )
   • H. ( x = 1, 5 )
   • I. ( x = 3, 6 )
   • J. ( x = 1, -6 )

2. Factorise and solve the equation: ( 2x^2 - 8 = 0 )

   • A. ( x = 2, -2 )
   • B. ( x = 0, 2 )
   • C. ( x = 4, -4 )
   • D. ( x = -2, -4 )
   • E. ( x = 2, 4 )
   • F. ( x = 1, -1 )
   • G. ( x = 0, 4 )
   • H. ( x = 1, 4 )
   • I. ( x = 4, 0 )
   • J. ( x = 3, -1 )

3. Factorise and solve the equation: ( x^2 + 7x + 10 = 0 )

   • A. ( x = -5, -2 )
   • B. ( x = 5, 2 )
   • C. ( x = -2, -5 )
   • D. ( x = -1, -10 )
   • E. ( x = 10, 1 )
   • F. ( x = 0, -10 )
   • G. ( x = -3, -4 )
   • H. ( x = -7, -3 )
   • I. ( x = 1, 5 )
   • J. ( x = 2, 5 )

4. Factorise and solve the equation: ( 3x^2 - 12x = 0 )

   • A. ( x = 0, 4 )
   • B. ( x = 3, 4 )
   • C. ( x = 1, 12 )
   • D. ( x = -3, -4 )
   • E. ( x = 0, 12 )
   • F. ( x = 3, 0 )
   • G. ( x = 0, 3 )
   • H. ( x = 6, -3 )
   • I. ( x = -6, -3 )
   • J. ( x = 4, 6 )

5. Factorise and solve the equation: ( x^2 - 9 = 0 )

   • A. ( x = 3, -3 )
   • B. ( x = 9, 0 )
   • C. ( x = -3, 3 )
   • D. ( x = 0, 0 )
   • E. ( x = 1, 9 )
   • F. ( x = 2, 3 )
   • G. ( x = 4, -4 )
   • H. ( x = 5, -5 )
   • I. ( x = 6, -6 )
   • J. ( x = 2, -2 )

6. Factorise and solve the equation: ( x^2 - 2x - 8 = 0 )

   • A. ( x = 6, -4 )
   • B. ( x = -6, 4 )
   • C. ( x = -2, -6 )
   • D. ( x = -4, 2 )
   • E. ( x = 4, 2 )
   • F. ( x = -2, 4 )
   • G. ( x = -4, -2 )
   • H. ( x = 8, -8 )
   • I. ( x = 6, 2 )
   • J. ( x = 0, -8 )

7. Factorise and solve the equation: ( 4x^2 - 25 = 0 )

   • A. ( x = 5, -5 )
   • B. ( x = 2, -2 )
   • C. ( x = 5, 2 )
   • D. ( x = -5, -2 )
   • E. ( x = 0, -5 )
   • F. ( x = 1, 5 )
   • G. ( x = 4, -4 )
   • H. ( x = -1, 1 )
   • I. ( x = 10, -10 )
   • J. ( x = -4, 0 )

8. Factorise and solve the equation: ( x^2 - 6x + 9 = 0 )

   • A. ( x = 3 )
   • B. ( x = 6 )
   • C. ( x = -3 )
   • D. ( x = 9 )
   • E. ( x = 0 )
   • F. ( x = 2 )
   • G. ( x = 5 )
   • H. ( x = 4 )
   • I. ( x = 1 )
   • J. ( x = -1 )

9. Factorise and solve the equation: ( x^2 + 4x - 12 = 0 )

   • A. ( x = 2, -6 )
   • B. ( x = -2, 6 )
   • C. ( x = 6, -2 )
   • D. ( x = 4, -3 )
   • E. ( x = -3, 4 )
   • F. ( x = 3, -3 )
   • G. ( x = -4, -3 )
   • H. ( x = -12, 1 )
   • I. ( x = 12, -1 )
   • J. ( x = 0, 12 )

10. Factorise and solve the equation: ( x^2 - 10x + 24 = 0 )

    • A. ( x = 6, 4 )
    • B. ( x = -6, -4 )
    • C. ( x = 10, -10 )
    • D. ( x = 3, 8 )
    • E. ( x = 5, 5 )
    • F. ( x = 1, 24 )
    • G. ( x = 0, -24 )
    • H. ( x = 7, 3 )
    • I. ( x = 12, 2 )
    • J. ( x = 24, 1 )

Good Luck!