JAMB and WAEC Mathematics questions

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

1. Question 521· Polynomials· JAMB

   When x³ − 2x² + kx − 6 is divided by (x − 2), the remainder is 4. Find k.

   • A4
   • B−5
   • C5
   • D3

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   Answer: C. 5

   Explanation and discussion

2. Question 522· Polynomials· JAMB

   For what value of k does x² − 4x + k = 0 have equal roots?

   • A16
   • B−4
   • C4
   • D2

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   Answer: C. 4

   Explanation and discussion

3. Question 523· Polynomials· WAEC

   Factorise x² + 9x + 14.

   • A(x − 2)(x − 7)
   • B(x + 1)(x + 14)
   • C(x + 2)(x + 7)
   • D(x + 3)(x + 6)

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   Answer: C. (x + 2)(x + 7)

   Explanation and discussion

4. Question 524· Polynomials· WAEC

   Simplify (x² − 9)/(x + 3).

   • Ax² − 3
   • Bx + 3
   • Cx − 3
   • Dx − 9

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   Answer: C. x − 3

   Explanation and discussion

5. Question 525· Polynomials· JAMB

   α and β are the roots of x² − 5x + 6 = 0. Find α² + β².

   • A13
   • B25
   • C37
   • D1

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   Answer: A. 13

   Explanation and discussion

6. Question 526· Polynomials· JAMB

   For what values of x is (x² − 1)/(x² − 3x + 2) undefined?

   • Ax = −1 or x = 1
   • Bx = 1 or x = 2
   • Cx = 2 only
   • Dx = −1 or x = −2

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   Answer: B. x = 1 or x = 2

   Explanation and discussion

7. Question 527· Polynomials· JAMB

   Find the quadratic equation whose roots are 2 and −3.

   • Ax² − x + 6 = 0
   • Bx² − x − 6 = 0
   • Cx² + 5x − 6 = 0
   • Dx² + x − 6 = 0

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   Answer: D. x² + x − 6 = 0

   Explanation and discussion

8. Question 528· Polynomials· JAMB

   Solve the simultaneous equations x + y = 7 and x − y = 1.

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

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   Answer: C. x = 4, y = 3

   Explanation and discussion

9. Question 529· Polynomials· WAEC

   Factorise x² − 5x + 6.

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

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   Answer: D. (x − 2)(x − 3)

   Explanation and discussion

10. Question 530· Polynomials· WAEC

    Solve simultaneously: 2x + y = 11 and x − y = 4.

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

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    Answer: C. x = 5, y = 1

    Explanation and discussion

11. Question 531· Polynomials· JAMB

    Expand (x + 3)(x − 5).

    • Ax² − 2x − 15
    • Bx² + 2x − 15
    • Cx² − 8x − 15
    • Dx² − 2x + 15

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    Answer: A. x² − 2x − 15

    Explanation and discussion

12. Question 532· Polynomials· JAMB

    Expand (2x − 3)².

    • A4x² + 9
    • B4x² − 12x + 9
    • C4x² − 6x + 9
    • D2x² − 12x + 9

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    Answer: B. 4x² − 12x + 9

    Explanation and discussion

13. Question 533· Polynomials· WAEC

    The sum of the roots of 3x² − 6x + 2 = 0 is

    • A2/3
    • B−2
    • C2
    • D6

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    Answer: C. 2

    Explanation and discussion

14. Question 534· Polynomials· JAMB

    The sum of two numbers is 17 and their difference is 5. What is their product?

    • A85
    • B60
    • C72
    • D66

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    Answer: D. 66

    Explanation and discussion

15. Question 535· Polynomials· WAEC

    Make r the subject of the formula A = πr².

    • Ar = √(A/π)
    • Br = A/π
    • Cr = √(Aπ)
    • Dr = (A/π)²

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    Answer: A. r = √(A/π)

    Explanation and discussion

16. Question 536· Polynomials· JAMB

    Solve 2x² + 5x − 3 = 0.

    • Ax = −½ or 3
    • Bx = ½ or −3
    • Cx = 1 or −3/2
    • Dx = 3 or ½

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    Answer: B. x = ½ or −3

    Explanation and discussion

17. Question 537· Polynomials· WAEC

    If f(x) = 2x² − 3x + 1, find f(−2).

    • A11
    • B3
    • C−1
    • D15

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    Answer: D. 15

    Explanation and discussion

18. Question 538· Polynomials· WAEC

    If f(x) = 2x² − 3, find f(−2).

    • A11
    • B−11
    • C5
    • D−5

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    Answer: C. 5

    Explanation and discussion

19. Question 539· Polynomials· WAEC

    Simplify (x² − 9)/(x² − 3x).

    • A(x − 3)/x
    • B(x + 3)/x
    • Cx + 3
    • D3/x

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    Answer: B. (x + 3)/x

    Explanation and discussion

20. Question 540· Polynomials· WAEC

    Solve 2x² − 7x + 3 = 0.

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

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    Answer: D. x = 3 or 1/2

    Explanation and discussion