WAEC Mathematics questions

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

1. Question 201· Polynomials· WAEC

   Simplify (x² − 9)/(x + 3).

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

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   Explanation and discussion

2. Question 202· 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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   Explanation and discussion

3. Question 203· 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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   Explanation and discussion

4. Question 204· Polynomials· WAEC

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

   • A2/3
   • B−2
   • C2
   • D6

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5. Question 205· 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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   Explanation and discussion

6. Question 206· Polynomials· WAEC

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

   • A11
   • B3
   • C−1
   • D15

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   Explanation and discussion

7. Question 207· Polynomials· WAEC

   If f(x) = 2x² − 3, find f(−2).

   • A11
   • B−11
   • C5
   • D−5

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   Explanation and discussion

8. Question 208· Polynomials· WAEC

   Simplify (x² − 9)/(x² − 3x).

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

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   Explanation and discussion

9. Question 209· 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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10. Question 210· Polynomials· WAEC

    Solve the equation 4x² − 25 = 0.

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

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    Explanation and discussion

11. Question 211· Polynomials· WAEC

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

    • A−2
    • B4
    • C2
    • D0

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    Explanation and discussion

12. Question 212· 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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    Explanation and discussion

13. Question 213· Polynomials· WAEC

    Solve 3x − 7 = 11.

    • A4/3
    • B6
    • C18
    • D3

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    Explanation and discussion

14. Question 214· Polynomials· WAEC

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

    • A−1
    • B5
    • C1
    • D9

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    Explanation and discussion

15. Question 215· 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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16. Question 216· 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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    Explanation and discussion

17. Question 217· 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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18. Question 218· 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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19. Question 219· Polynomials· WAEC

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

    • A−4
    • B0
    • C8
    • D4

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    Explanation and discussion

20. Question 220· Polynomials· WAEC

    Expand (3x + 2)².

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

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    Explanation and discussion