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Class 9–10 Maths: Quadratic equations practice questions

Practise quadratic equations for Classes 9 and 10. Try the 10-question quiz below and see each answer explained straight away, then read all 12 worked examples with answers underneath. Free, no sign-up.

Quadratic equations: worked examples with answers

These Maths questions are generated, so a fresh set appears every time you press "Practise more questions". Here are some worked examples.

1. What is the larger root of x² − 8x + 15 = 0?

   1. A. 6
   2. B. 5 ✓
   3. C. 8
   4. D. 3

   Answer: 5. x² − 8x + 15 = (x − 5)(x − 3) = 0, so the roots are 5 and 3. The larger is 5.

2. What is the larger root of x² − 13x + 40 = 0?

   1. A. 8 ✓
   2. B. 13
   3. C. 9
   4. D. 3

   Answer: 8. x² − 13x + 40 = (x − 8)(x − 5) = 0, so the roots are 8 and 5. The larger is 8.

3. What is the larger root of x² − 5x + 6 = 0?

   1. A. 1
   2. B. 4
   3. C. 3 ✓
   4. D. 5

   Answer: 3. x² − 5x + 6 = (x − 3)(x − 2) = 0, so the roots are 3 and 2. The larger is 3.

4. What is the larger root of x² − 9x + 18 = 0?

   1. A. 3
   2. B. 6 ✓
   3. C. 7
   4. D. 18

   Answer: 6. x² − 9x + 18 = (x − 6)(x − 3) = 0, so the roots are 6 and 3. The larger is 6.

5. What is the larger root of x² − 9x + 14 = 0?

   1. A. 5
   2. B. 8
   3. C. 7 ✓
   4. D. 14

   Answer: 7. x² − 9x + 14 = (x − 7)(x − 2) = 0, so the roots are 7 and 2. The larger is 7.

6. What is the larger root of x² − 15x + 54 = 0?

   1. A. 15
   2. B. 10
   3. C. 9 ✓
   4. D. 54

   Answer: 9. x² − 15x + 54 = (x − 9)(x − 6) = 0, so the roots are 9 and 6. The larger is 9.

7. What is the larger root of x² − 13x + 36 = 0?

   1. A. 9 ✓
   2. B. 4
   3. C. 36
   4. D. 10

   Answer: 9. x² − 13x + 36 = (x − 9)(x − 4) = 0, so the roots are 9 and 4. The larger is 9.

8. What is the larger root of x² − 11x + 30 = 0?

   1. A. 11
   2. B. 6 ✓
   3. C. 1
   4. D. 30

   Answer: 6. x² − 11x + 30 = (x − 6)(x − 5) = 0, so the roots are 6 and 5. The larger is 6.

9. What is the larger root of x² − 3x + 2 = 0?

   1. A. 4
   2. B. 3
   3. C. 2 ✓
   4. D. 1

   Answer: 2. x² − 3x + 2 = (x − 2)(x − 1) = 0, so the roots are 2 and 1. The larger is 2.

10. What is the larger root of x² − 6x + 8 = 0?

    1. A. 2
    2. B. 4 ✓
    3. C. 8
    4. D. 5

    Answer: 4. x² − 6x + 8 = (x − 4)(x − 2) = 0, so the roots are 4 and 2. The larger is 4.

11. What is the larger root of x² − 9x + 8 = 0?

    1. A. 9
    2. B. 7
    3. C. 1
    4. D. 8 ✓

    Answer: 8. x² − 9x + 8 = (x − 8)(x − 1) = 0, so the roots are 8 and 1. The larger is 8.

12. What is the larger root of x² − 8x + 7 = 0?

    1. A. 8
    2. B. 7 ✓
    3. C. 1
    4. D. 6

    Answer: 7. x² − 8x + 7 = (x − 7)(x − 1) = 0, so the roots are 7 and 1. The larger is 7.

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