JAMB and WAEC Mathematics questions

861 questions with answers and explanations. Tap an option to check yourself.

1. Question 541· Polynomials· JAMB

   Find the remainder when x³ − 2x² + 3x − 4 is divided by (x − 2).

   • A2
   • B−2
   • C4
   • D0

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   Answer: A. 2

   Explanation and discussion

2. Question 542· Polynomials· JAMB

   Solve x² − 5x + 6 = 0.

   • Ax = −1 or −6
   • Bx = −2 or −3
   • Cx = 1 or 6
   • Dx = 2 or 3

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   Answer: D. x = 2 or 3

   Explanation and discussion

3. Question 543· Polynomials· WAEC

   Solve the equation 4x² − 25 = 0.

   • Ax = ±5/2
   • Bx = ±25/4
   • Cx = 5/2 only
   • Dx = ±5

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   Answer: A. x = ±5/2

   Explanation and discussion

4. Question 544· Polynomials· JAMB

   If α and β are the roots of 2x² − 6x + 3 = 0, find α + β and αβ.

   • A3 and 3/2
   • B−3 and 3/2
   • C3 and −3/2
   • D6 and 3

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   Answer: A. 3 and 3/2

   Explanation and discussion

5. Question 545· Polynomials· WAEC

   Find the value of x for which (x + 2)/(x − 4) is undefined.

   • A−2
   • B4
   • C2
   • D0

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   Answer: B. 4

   Explanation and discussion

6. Question 546· Polynomials· WAEC

   Factorise 4x² − 25y².

   • A(2x − 5y)²
   • B(2x − 5y)(2x + 5y)
   • C(4x − 5y)(x + 5y)
   • D(2x + 5y)²

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   Answer: B. (2x − 5y)(2x + 5y)

   Explanation and discussion

7. Question 547· Polynomials· WAEC

   Solve 3x − 7 = 11.

   • A4/3
   • B6
   • C18
   • D3

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   Answer: B. 6

   Explanation and discussion

8. Question 548· Polynomials· JAMB

   Simplify (x² − 4)/(x − 2).

   • Ax − 2
   • Bx + 2
   • Cx − 4
   • Dx + 4

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   Answer: B. x + 2

   Explanation and discussion

9. Question 549· Polynomials· WAEC

   Find the remainder when 2x³ + x² − 5x + 1 is divided by x + 1.

   • A−1
   • B5
   • C1
   • D9

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   Answer: B. 5

   Explanation and discussion

10. Question 550· Polynomials· JAMB

    Factorise 6x² − x − 2.

    • A(6x − 1)(x + 2)
    • B(3x + 2)(2x − 1)
    • C(3x − 2)(2x + 1)
    • D(2x − 2)(3x + 1)

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    Answer: C. (3x − 2)(2x + 1)

    Explanation and discussion

11. Question 551· Polynomials· WAEC

    Find the product of the roots of 3x² + 5x − 12 = 0.

    • A−5/3
    • B4
    • C−4
    • D5/3

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    Answer: C. −4

    Explanation and discussion

12. Question 552· Polynomials· WAEC

    Solve x² − 9x + 20 = 0.

    • Ax = 4 only
    • Bx = −4 or x = −5
    • Cx = 2 or x = 10
    • Dx = 4 or x = 5

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    Answer: D. x = 4 or x = 5

    Explanation and discussion

13. Question 553· Polynomials· WAEC

    Factorise x² − 9.

    • A(x − 3)²
    • B(x − 3)(x + 3)
    • C(x − 9)(x + 1)
    • D(x + 3)²

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    Answer: B. (x − 3)(x + 3)

    Explanation and discussion

14. Question 554· Polynomials· JAMB

    Solve 3x² = 27.

    • Ax = 9
    • Bx = 3 only
    • Cx = ±9
    • Dx = ±3

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    Answer: D. x = ±3

    Explanation and discussion

15. Question 555· Polynomials· WAEC

    Solve simultaneously: x + y = 7 and x − y = 1.

    • Ax = 3, y = 4
    • Bx = 4, y = 3
    • Cx = 5, y = 2
    • Dx = 6, y = 1

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    Answer: B. x = 4, y = 3

    Explanation and discussion

16. Question 556· Polynomials· WAEC

    Find the remainder when x³ − 2x² + 4 is divided by x − 2.

    • A−4
    • B0
    • C8
    • D4

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    Answer: D. 4

    Explanation and discussion

17. Question 557· Polynomials· WAEC

    Expand (3x + 2)².

    • A9x² + 12x + 4
    • B9x² + 4
    • C9x² + 6x + 4
    • D3x² + 12x + 4

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    Answer: A. 9x² + 12x + 4

    Explanation and discussion

18. Question 558· Polynomials· JAMB

    Find the remainder when x³ + 2x − 1 is divided by (x − 1).

    • A2
    • B0
    • C−2
    • D4

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    Answer: A. 2

    Explanation and discussion

19. Question 559· Polynomials· WAEC

    Solve the equation x² − 5x + 6 = 0.

    • Ax = −1 or 6
    • Bx = −2 or −3
    • Cx = 1 or 6
    • Dx = 2 or 3

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    Answer: D. x = 2 or 3

    Explanation and discussion

20. Question 560· Polynomials· JAMB

    Solve 3x² − 7x + 2 = 0.

    • Ax = 1/3 or x = 2
    • Bx = −1/3 or x = −2
    • Cx = 3 or x = 1/2
    • Dx = 2/3 or x = 1

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    Answer: A. x = 1/3 or x = 2

    Explanation and discussion