JAMB and WAEC Mathematics questions

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

1. Question 81· Coordinate geometry· WAEC

   Find the equation of the line with gradient 2 that passes through the point (0, −3).

   • Ay = 3x − 2
   • By = 2x + 3
   • Cy = −3x + 2
   • Dy = 2x − 3

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2. Question 82· Differentiation· JAMB

   Find the gradient of the curve y = x² − 4x + 1 at the point where x = 3.

   • A6
   • B−2
   • C2
   • D4

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3. Question 83· Differentiation· JAMB

   Find the minimum point of the curve y = 2x² − 8x + 3.

   • A(2, 3)
   • B(2, −5)
   • C(−2, 27)
   • D(4, 3)

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4. Question 84· Differentiation· JAMB

   Find the gradient of the curve y = x³ at the point (2, 8).

   • A6
   • B8
   • C12
   • D4

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5. Question 85· Differentiation· JAMB

   Find dy/dx if y = 1/x².

   • A−2/x³
   • B2/x³
   • C−1/x
   • D2x

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6. Question 86· Differentiation· JAMB

   The displacement of a particle is s = 2t³ − 4t metres. Find its velocity when t = 2 s.

   • A24 m/s
   • B8 m/s
   • C20 m/s
   • D12 m/s

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7. Question 87· Differentiation· JAMB

   Differentiate y = 3x⁴ − 2x² + 7x.

   • A3x³ − 2x + 7
   • B12x³ − 4x
   • C12x³ − 4x + 7
   • D12x⁴ − 4x² + 7

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8. Question 88· Differentiation· JAMB

   Differentiate y = 1/x with respect to x.

   • A1/x²
   • B−1/x²
   • C−1/x
   • Dx²

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9. Question 89· Differentiation· JAMB

   Find the gradient of the curve y = x³ − 2x at x = 2.

   • A12
   • B4
   • C10
   • D6

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10. Question 90· Differentiation· JAMB

    The area of a circle is A = πr². Find the rate of change of A with respect to r when r = 7. (Take π = 22/7.)

    • A44
    • B154
    • C22
    • D14

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11. Question 91· Differentiation· JAMB

    Find the turning point of the curve y = x² − 2x + 5.

    • A(1, 4)
    • B(−1, 8)
    • C(2, 5)
    • D(1, 5)

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12. Question 92· Differentiation· JAMB

    Find the maximum value of y = 4x − x².

    • A4
    • B2
    • C8
    • D0

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13. Question 93· Differentiation· JAMB

    Find dy/dx for y = 3x² − 5x + 2 at x = 1.

    • A6
    • B1
    • C−5
    • D0

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14. Question 94· Differentiation· JAMB

    Find the derivative of sin x with respect to x.

    • A−sin x
    • B−cos x
    • Ccos x
    • Dtan x

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15. Question 95· Differentiation· JAMB

    Find the derivative of cos x with respect to x.

    • A−cos x
    • Bsin x
    • Ccos x
    • D−sin x

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16. Question 96· Differentiation· JAMB

    Differentiate y = (2x + 1)³ with respect to x.

    • A3(2x + 1)²
    • B6(2x + 1)²
    • C2(2x + 1)³
    • D6(2x + 1)

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17. Question 97· Differentiation· JAMB

    Find the minimum value of y = x² − 6x + 10.

    • A3
    • B1
    • C10
    • D−1

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18. Question 98· Differentiation· JAMB

    Find the minimum value of y = x² − 4x + 7.

    • A3
    • B2
    • C7
    • D−3

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19. Question 99· Differentiation· JAMB

    Differentiate y = (x² + 1)² with respect to x.

    • A4x³
    • B2(x² + 1)
    • C2x(x² + 1)
    • D4x(x² + 1)

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20. Question 100· Differentiation· JAMB

    Find the values of x at the turning points of y = x³ − 3x.

    • Ax = 0 only
    • Bx = 1 or x = −1
    • Cx = 3 or x = −3
    • Dx = √3 or x = −√3

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